Point A is at (-5, –4) and point B is at (5,-3).
What is the midpoint of line segment AB?

Answers

Answer 1
Final answer:

The midpoint of the line segment AB with points A at (-5, -4) and B at (5, -3) can be found by averaging the x and y coordinates of the two points. The x-coordinate of the midpoint is 0 and the y-coordinate is -3.5, hence the midpoint is (0, -3.5).

Explanation:

The subject of this question is Mathematics, specifically discussing the concept of finding the midpoint of a line segment in a 2D coordinate system. The midpoint of a line segment can be calculated using the coordinates of the two ends of the line segment. To find it, you add the coordinates (x, y) of the two points and divide each sum by 2. In this case, the coordinates of points A and B are (-5, -4) and (5, -3) respectively. Thus, the x-coordinate of the midpoint is (-5 + 5)/2 = 0 and the y-coordinate of the midpoint is (-3 - 4)/2 = -3.5. Therefore, the midpoint of line segment AB is at (0, -3.5).

Learn more about Midpoint Calculation here:

https://brainly.com/question/21843164

#SPJ2


Related Questions

victor wants to buy fertilizer for his yard. the yard measures 45 feet by 50 feet. the directions on the bag of fertilizer says that one bag will cover 1,220 sq ft. how many bags of fertilizer should victor buy to be sure that he cover the entire yard

Answers

Answer:

He'll need 2 bags to cover his yard.

Step-by-step explanation:

To solve this problem we first need to calculate the area of Victor's yard. It seemes by the dimmensions given that his yard have a rectangular shape, it's area is given by:

yard area = length*width

yard area = 45*50 = 2250 square feet

Since each bag will cover 1220 square feet, to calculate how many bags are needed for his yeard we need to divide the yard's area by the area each bag can cover. This is shown below:

number of bags = yard area/ bag area = 2250/1220 =1.84

Since he can't buy 0.84 bags we will round the number of bags to 2.

Hey ya'll don't scroll please, just look at the attachment and answer every single question please- thank you very much.


I need this done in 15 minutes so it would really really help. Also I have made my 11th account this week regarding this question so just please answer it for me- thanks girlie.

Answers

Answer:

a. is B b. is D

Step-by-step explanation:

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 5 units above R to leave room for a utility truck. What are the coordinates of the location of the second car? (1, −2) (1, 3) (−4, −2) (−4, 3)

Answers

Answer:

Step-by-step explanation:

1,3

What is the value of B Image below

Answers

it is 61 degrees bec u j add them then subrteact that by 189
The answer is 61.......

Please... I need help! ​
Some one to explain me plz

Answers

What am I supposed to be helping with the picture you took is only showing examples

Answer:

See below where I explain line by line.

Step-by-step explanation:

If two lines are parallel, their slopes are equal.

Look at line 1: Both lines have slope 1/2. Since both slopes are 1/2, the slopes are equal, and the lines are parallel.

Look at line 7: slope 4/8, slope 1/2. Reduce 4/8. It reduces to 1/2. Both lines have slope 1/2. The lines have equal slopes, so they are parallel.

If two lines are perpendicular, then their slopes are opposite reciprocals. Reciprocals are two numbers that when when written as a fraction, when you flip one, you get the other. For example, 4/5 and 5/4. They are reciprocals because is you flip 4/5, you get 5/4. For two lines to be perpendicular, their slopes need to be reciprocals and opposites. That means their signs must be different (one positive and one negative) in addition to being reciprocals. For example, two lines with slope 5/8 and -8/5 are perpendicular since the slopes are both reciprocals and opposites.

Look at line 2: -2/3 and 3/2. If you flip -2/3, you get -3/2. The opposite of -3/2 is 3/2. That means each slope is the opposite reciprocal of the other, so they are perpendicular.

Line 5: slope 4, slope -1/4. Write 4 as a fraction. Now you have 4/1. Flip 4/1 to get 1/4. Then make it the opposite, -1/4. The second line does have slope -1/4, so they are perpendicular.

Line 6: slope -1/6, slope 6. Flip -1/6. You get -6/1. Find its opposite: 6/1. 6/1 is the same as 6. That means that -1/6 and 6 are opposite reciprocals and the lines are perpendicular.

Lines that are neither parallel nor perpendicular.

Look at line 3: 5/2 and 2/5. If you flip 5/2, you get 2/5. The slopes are reciprocals, but they are not opposites since they are both positive. The lines are not perpendicular. Also 5/2 is not equal to 2/5, so the lines are not parallel either.

Look at line 4: slope -3; slope -1/3. Start with -3. Write it as a fraction: -3/1. Now flip it: -1/3. Now find its opposite: 1/3. If the slopes were -3 and 1/3, the lines would be perpendicular because they'd be reciprocal and opposite. The second slope is -1/3, not 1/3, so they are not opposite, and the lines are not perpendicular. Also, -3 and -1/3 are not equal, so the lines are also not parallel.

In magic squares, each row,
column, and diagonal adds up
to the same number. Complete
the magic square. Use each
number 1-9 only once.

Answers

Answer:

middle square top row =9 middle row left square= 7   middle row right square=3 bottom row left square =6 bottom row middle square 1

Step-by-step explanation:

every row = 15 so just start with the rows and columns that only need one square until you've filled it in enough that every row needs one and the solve from there

A magic square consists of a grid of numbers where each row, column, and diagonal add up to the same total. For a 3x3 magic square using numbers 1 through 9, this total is 15. Possible solutions include the rotations of the groupings 9, 5, 1 and 6, 2, 7.

A magic square is a grid of numbers where the values in each row, column, and diagonal add up to the same total. The key to solving such a puzzle is understanding that total. Since we are using the numbers 1 through 9, the total sum of these numbers is 45; because there are 3 rows (or columns or diagonals) in a 3x3 grid, each must add up to 15.

The only way to get 15 with three numbers in the 1-9 range is to either group 9, 5, and 1 or their rotations (such as 5, 1, 9 or 1, 9, 5) or use 6, 2, and 7 or their rotations. This leads to the following magic square:

8 1 6

3 5 7

4 9 2

Learn more about Magic Square here:

https://brainly.com/question/33345513

#SPJ2

Click on the number until you find the right quotient. 36m5n5 ÷ (12m3)

9mn^2
7m^4n^2
3m^2n^5

Answers

So the answer is 3m^2n^5

Final answer:

To find the quotient of ([tex]36m^5n^5 \div 12m^3[/tex]), divide the numerical coefficients and subtract the exponents for each variable base. The correct quotient is [tex]3m^2n^5[/tex], which corresponds to option 3.

Explanation:

Divide the numerical coefficients: 36 ÷ 12 = 3.

Subtract the exponents of the variables with the same base (m): 5 - 3 = 2.

Subtract the exponents of the variables with the same base (n): 5 - 0 = 5.

Therefore, the quotient is 3m2n5, which matches option 3: [tex]3m^2n^5[/tex].

(09.01 MC)
Two quadratic functions are shown.
Function 2:
Function 1:
f(x) = 2x2 - 8x + 1
|x
g(x)
1
17
Which function has the least minimum value and what are its coordinates? (5 points)
Function 1 has the least minimum value and its coordinates are (0, 1).
Function 1 has the least minimum value and its coordinates are (2. - 7).
Function 2 has the least minimum value and its coordinates are (0,2).
Function 2 has the least minimum value and its coordinates are (-1.-3).

Answers

Answer:

Function 1 has the least minimum value and its coordinates are (2. - 7).

Step-by-step explanation:

The first function is

[tex]f(x)=2x^{2} -8x+1[/tex]

The second function is

x   g(x)

-2    2

-1    -3

0     2

1     17

The vertex has coordinates of [tex]V(h,k)[/tex], where [tex]h=-\frac{b}{2a}[/tex] and [tex]k=f(h)[/tex].

Let's find the vertex for the first function where [tex]a=2[/tex] and [tex]b=-8[/tex].

[tex]h=-\frac{-8}{2(2)}=2[/tex]

[tex]k=f(2)=2(2)^{2} -8(2)+1=8-16+1=-8+1=-7[/tex]

Therefore, the vertex of the first function is at [tex](2,-7)[/tex].

Now, the minimum value of the second function can be deducted from its table, which is [tex](-1,-3)[/tex].

Therefore, [tex]f(x)[/tex] has -7 as minimum value and [tex]g(x)[/tex] has -3 as minimum vale.

So, the right answer is B, because -7 is less than -3.

PLEASE HELPPPP!!!!!!!

Rectangle QRST has points at these coordinates:
Q(-9,2), R (1,2), S (1,-2), and T (-9,-2).
What is the length of QT? ​

Answers

Answer:

the length between them is 4

Step-by-step explanation:

from Q - T

both are at -9 so its a straight line.

the difference between -2 and 2 is 4

-2 , -1, 0, 1, 2,

Answer:

4

Step-by-step explanation:

Q and T are on the same line.

-9 is the x value for both points.

All you are left with is the distance between -2 and 2.

Subtract and take absolute value if you come up with a negative answer.

2 - -2 = 4

urgent help! can someone answer these questions for me?

Answers

Answer:

she needs 600 g chocolate. He needs 150 g flour. his recipe is for 6 people

Complete the expressions to find the perimeter P of a rectangle that is 9 inches long by 4 inches wide. P=2l+2w =2⋅9+2⋅ ( ) =( )+( ) =( )in. AKA. ( ) = blank

Answers

Answer:

[tex]P= 26\text{ inches}[/tex]

Step-by-step explanation:

We are given the following in the question:

Dimensions of rectangle:

Length of rectangle,l = 9 inches

Width of rectangle, w = 4 inches

Perimeter of rectangle =

[tex]P= 2l + 2w[/tex]

Putting values, we get,

[tex]P= 2(9) + 2(4)\\P= (18) + (8)\\P= 26\text{ inches}[/tex]

Thus, the perimeter of rectangle is 26 inches.

In circle N, KL ≅ ML.


What is the measure of Arc J M?


77°

90°

132°

154°

Answers

Answer:

es 132°

Step-by-step explanation:

KL ≅ ML, entonces triángulo KNL y NLM son similares ah Angle side Angle Theorom .

Entonces,{LNK ≅ LNM}

7x+7=8x-3 8x-7=7+3,x=10

13x+2=13*10+2=130+2=132°

La respuesta es 132°

Based on the relationship of the intercepted arcs of congruent chords, the measure of arc JM is: C. 132°.

What is the Measure of Intercepted Arcs of Equal Chords?

If two chords are congruent, then the corresponding arcs bounded by the chords will have equal measure too.

Thus, KL = LM, therefore:

7x + 7 = 8x - 3

Solve for x

7x - 8x = -7 - 3

-x = -10

x = 10

Arc JM = 13x + 2

Plug in the value of x

Arc JM = 13(10) + 2

Arc JM = 132°

Learn more about intercepted arcs of congruent chords on:

https://brainly.com/question/4244936

#SPJ5

A parabola intersects the xxx-axis at x=3x=3x, equals, 3 and x=9x=9x, equals, 9.
What is the xxx-coordinate of the parabola's vertex?

Answers

Answer:

x=6

Step-by-step explanation:

Given the x-intercepts of a parabola: [tex]x_1=3, x_2=9[/tex]

The equation of symmetry at the parabola's vertex is x=h

Where [tex]h=\dfrac{x_1+x_2}{2}[/tex]

In this case,

[tex]h=\dfrac{3+9}{2}=6[/tex]

Therefore, the line of symmetry of the parabola is x=6 and is also the x-coordinate of the parabola's vertex.

The vertex of a parabola is the minimum or maximum point of  the parabola.

The x-coordinate of the vertex is 6

The intersection points are given as:

[tex]\mathbf{x_1 = 3,\ x_2 = 9}[/tex]

The x-coordinate of the parabola is calculated as:

[tex]\mathbf{x = \frac{1}{2}(x_1 + x_2)}[/tex]

So, we have:

[tex]\mathbf{x = \frac{1}{2}(3 + 9)}[/tex]

[tex]\mathbf{x = \frac{1}{2}(12)}[/tex]

Simplify

[tex]\mathbf{x = 6}[/tex]

Hence, the x-coordinate of the vertex is 6

Read more about vertex at:

https://brainly.com/question/20209326

Sophia creates a blog about food specialties and how to make them at home. In one session she shares a recipe from her grandmother in Italy about making genuine Neapolitan pizza. In the blog, she inserts various links to products she has for sale, like pizza peels, tomato sauce, etc. This is an example of effective _________.

Answers

Answer:

inbound marketing

Step-by-step explanation:

Final answer:

The case of Sophia inserting links to products she sells within her food blog is an example of affiliate marketing. With this strategy, Sophia can generate revenue each time a reader makes a purchase through a link on her blog.

Explanation:

Sophia's action of incorporating links to products that she has for sale within her blog about food specialties is an example of effective affiliate marketing. In affiliate marketing, an individual recommends products to their audience, and earns a commission on any sales that come from their referrals. By integrating these product links in her blog post, Sophia can generate revenue each time a reader clicks on the link and purchases the product. This allows her to monetize her blog in an easy and effective way.

Learn more about Affiliate Marketing here:

https://brainly.com/question/31820974

#SPJ2

2/3 inches x 5 inches​

Answers

Answer:

10/3

Step-by-step explanation:

2/3 x 5 is really

2     x    5

3            1

when you multiply them separately  you will get 10 as your numerator and 3 as your denominator.

hope this helps!

Find the quotient. 2y/5x / y/6x

Answers

Well let us see,

[tex]\dfrac{\frac{2y}{5x}}{\frac{y}{6x}}=\dfrac{12xy}{5xy}=\color{blue}\boxed{\dfrac{12}{5}}[/tex].

Hope this helps.

Answer:

[tex] \huge \purple { \frac{12}{5} }[/tex]

Step-by-step explanation:

[tex] \huge \frac{ \frac{2y}{5x} }{ \frac{y}{6x} } \\ \\ \huge = \frac{2y}{5x} \times \frac{6x}{y} \\ \\ \huge = \frac{2}{5} \times \frac{6}{1} \\ \\ \huge \red{ = \frac{12}{5} }[/tex]

The monthly cost of a certain long distance service is given by the linear function y=0.08x+ 8.95 where Y is in dollars and X is the amount of time in minutes called in a month. Find and interpert the slope and y-intercept of the linear equation

Answers

Answer:3747

Step-by-step explanation:

Final answer:

The slope of the linear function y=0.08x+8.95 is 0.08, indicating the cost increases by $0.08 per minute. The y-intercept is 8.95, representing the monthly flat fee of $8.95 when no calls are made.

Explanation:

The linear function given is y=0.08x+8.95, where y represents the monthly cost in dollars and x represents the number of minutes called in a month. In this equation, the slope is 0.08 and it represents the rate at which the cost increases per minute of call time. The y-intercept is 8.95, which is the base cost of the service when no minutes have been used.

The interpretation of the slope is as follows: for each additional minute of call time, the cost increases by $0.08. The interpretation of the y-intercept is that even if no calls are made in a month, the service will still cost $8.95, reflecting a flat monthly fee.

Learn more about Slope and y-intercept Interpretation here:

https://brainly.com/question/32033361

#SPJ11

A company has two large computers. The slower computer can send all the company's email in 35 minutes. The faster computer can complete the same job in 15 minutes. If both computers are working together, how long will it take them to do the job

Answers

It takes 10.5 minutes for both the computers to do the work by working together

What is a Fraction?

A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator.

Given data ,

The time for which the slower computer can send all the mails = 35 minutes

The time for which the faster computer can send all the mails = 15 minutes

So ,

The slower computer can complete the work in = 1 / 35 min

The faster computer can complete the work in = 1 / 15 min

Let the total work done by both computers together be = W

The total work completed when both the computers work together is 1 / W =
The work completed by slower computer + The work completed by slower computer

The total work completed when both the computers work together 1 / W =
1 / 35 +  1 / 15

And ,

1 / W = 1 / 35 +  1 / 15

1 / W = 10 / 105

Taking reciprocals , we get

W = 105 / 10

W = 10.5 minutes

Hence , The time taken by both the computers to do the work together is 10.5 minutes

To learn more about fractions click :

https://brainly.com/question/2197472

#SPJ5

Final answer:

To find the combined time for two computers to complete a job, calculate their work rates individually and add them up.

Explanation:

To solve this problem, we can use the concept of work rates.

Calculate the work rate of each computer:

Slower computer's work rate = 1 job / 35 minutes = 1/35 job per minute

Faster computer's work rate = 1 job / 15 minutes = 1/15 job per minute

When both computers work together:

Total work rate = 1/35 + 1/15 = 5/105 + 7/105 = 12/105 jobs per minute

Calculating the time taken:

Time taken = 1 job / Total work rate = 105 / 12 = 8.75 minutes

Therefore, both computers working together will complete the job in 8.75 minutes.

  A rectangle with length 10 inches and width 5 inches. A triangle sits on top of the rectangle. The triangle has a base of 10 inches and height of 3 inches. What is the area of the figure shown?

Answers

Answer:

The Area is 65

Step-by-step explanation: Hope this helps!

Answer:

65

Step-by-step explanation:

got it

I need help ! It’s due today

Answers

Answer:we have the same thing,

Step-by-step explanation:medium,from end to middle

Answer:

Please give Branliest

1. minimum = 3

maximum = 9

median = 7

2. minimum = 8

maximum = 24

median = 15

3. minimum = 21

maximum = 40

median = 28

lower quartile =26

upper quartile = 24

Step-by-step explanation:

minimum is the lowest number in the set

maximum the highest number

to find the median, line the numbers up in order, and find the number in the middle that is the median

quartiles are the medians or middles of the numbers above the median or bellow

for example 21 26 27 28 33 34 40

the quartiles are 26 and 34

RAMON SELLS CARS AND TRUCKS HE HAS ROOM ON HIS LOT FOR 521 VEHICLES. Ramon has 175 more more cars than trucks. How many of each vehicles should he have

Answers

Answer: he should have 348 cars and 173 trucks.

Step-by-step explanation:

Let x represent the number of cars that he should have.

Let y represent the number of trucks that he should have.

He has room on his lot for 521 vehicles. It means that

x + y = 521- - - - -- - - - -1

Ramon has 175 more more cars than trucks. It means that

x = y + 175

Substituting x = y + 175 into equation 1, it becomes

y + 175 + y = 521

2y = 521 - 175 = 346

y = 346/2

y = 173

x = y + 175 = 173 + 175

x = 348

Final answer:

To determine the number of cars and trucks on Ramon's lot, two equations were formed: T + C = 521 and C = T + 175. Solving these equations simultaneously, it was found that Ramon should have 173 trucks and 348 cars.

Explanation:

Ramon's Car and Truck Problem

Let us define the number of trucks Ramon has as T and the number of cars as C. According to the problem, Ramon has room for 521 vehicles on his lot. The problem states that Ramon has 175 more cars than trucks, so we can express this as C = T + 175.

We know the total number of vehicles Ramon can have is 521, which leads us to the following equation: T + C = 521. Substituting the first equation into the second, we get T + (T + 175) = 521. Simplifying, 2T + 175 = 521. Subtracting 175 from both sides, 2T = 346. Dividing by 2, we find that T = 173. This means Ramon has 173 trucks on his lot.

Now, we substitute the value of T back into the equation for C: C = 173 + 175, which equals 348. So, Ramon should have 348 cars and 173 trucks on his lot.

Two dice are rolled, and the results are summed find the probabilty of rolling an odd sum less than 9

Answers

Answer:

You can have 11 outcomes:

2: 1/36

3: 2/36

4: 3/36

5: 4/36

6: 5/36

7: 6/36

8: 5/36

9: 4/36

10: 3/36

11: 2/36

12: 1/36

Odd numbers are 3,5,7,9,11 thus the probability is (2+4+6+4+2)/36

Step-by-step explanation:

try this i think this is the answer i looked it up

At 7am you drink a 12-ounce cup of coffee which has 140mg of caffeine. The liver metabolizes caffeine at a rate of 12.9% per hour. How many milligrams of caffeine is in your body after 2 hours? Group of answer choices 136.4 106.2 178.4 33.8

Answers

Answer:

B. 106.2

Step-by-step explanation:

We have been given that at 7 am you drink a 12-ounce cup of coffee which has 140 mg of caffeine. The liver metabolizes caffeine at a rate of 12.9% per hour. We are asked to find the milligrams of caffeine left in your body after 2 hours.

We will use exponential decay formula to solve our given problem.

[tex]y=a\cdot (1-r)^x[/tex], where,

y = Final value,

a = Initial value,

r = Decay rate in decimal form,

x = Time.

Let us convert 12.9% in decimal form.

[tex]12.9\%=\frac{12.9}{100}=0.129[/tex]

Initial value is 140 mg.

[tex]y=140\cdot (1-0.129)^x[/tex]

[tex]y=140\cdot (0.871)^x[/tex]

Now we will substitute [tex]x=2[/tex] in our equation as:

[tex]y=140\cdot (0.871)^2[/tex]

[tex]y=140\cdot (0.758641)[/tex]

[tex]y=106.20974\approx 106.2[/tex]

Therefore, approximately 106.2 milligrams of caffeine will be in your body after 2 hours.

the length of a rectangle with area 54 square centimeters is 9 centimeters. what is the perimeter of the rectangle, in centimeters?

Answers

Answer:

30 cm

Step-by-step explanation:

To find the perimeter of the rectangle, you first need to find the width and length of the rectangle:

54/9 = 6

L = 9

W = 6

The perimeter is 2lw:

The answer is 30 cm

Answer:

C 30 it not it 34

Step-by-step explanation:

just did it

You have one type of nut that sells for $3.00/lb and another type of nut that sells for $5.40/lb. You would like to have 7.2 lbs of a nut mixture that sells for $4.60/lb. How much of each nut will you need to obtain the desired mixture?

Answers

Answer: 2.4 pounds of the type of nut that sells for $3.00/lb and 4.8 pounds of the type of nut that sells for $5.40/lb would be needed.

Step-by-step explanation:

Let x represent the number of pounds of the type of nut that sells for $3.00/lb that you would need.

Let y represent the number of pounds of the type of nut that sells for $5.40/lb that you would need.

You would like to have 7.2 lbs of a nut mixture. It means that

x + y = 7.2

The mixture would sell for $4.60/lb. It means that the cost of the mixture would be

4.6 × 7.2 = $33.12

This means that

3x + 5.4y = 33.12- - - - - - - - - 1

Substituting x = 7.2 - y Intl equation 1, it becomes

3(7.2 - y) + 5.4y = 33.12

21.6 - 3y + 5.4y = 33.12

- 3y + 5.4y = 33.12 - 21.6

2.4y = 11.52

y = 11.52/2.4

y = 4.8

x = 7.2 - y = 7.2 - 4.8

x = 2.4

Beth needs to fertilize her flowerbed, which is in the shape of a regular pentagon. A bag of fertilizer states that it can fertilize up to 150 square feet, but Beth is not sure how many bags of fertilizer she should buy. Each side of the pentagon is 15 feet long

Answers

Answer: he should buy 3 bags

Step-by-step explanation:

In order to determine the area of the flower bed which has the shape of a Pentagon, we would apply the formula for determining the area of a polygon which is expressed as

Area = (perimeter × apotherm)/2

The apotherm is the perpendicular distance from the center of the polygon. The formula for determining the apotherm is

Apotherm = S/2tan(180/n)

Where

S = side length of the polygon

n = number of sides of the polygon.

From the information given,

S = 15 feet

n = 5

Apotherm = 15/2tan(180/5) = 10.3 ft

Perimeter = side length × number of sides

Perimeter = 15 × 5 = 75 ft

Therefore,

Area of the Pentagon = 75 × 10.3/2 = 386.25 ft²

A bag of fertilizer states that it can fertilize up to 150 square feet. Therefore, the number of bags that he can buy is

386.25/150 = 2.575 bags

He should buy approximately 3 bags

Find the indicated probability. In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is between 1100 kWh and 1225 kWh.

Answers

Answer:

p=0.1971

Step-by-step explanation:

-Let X be the normally distributed random variable with mean=1050kWh and standard deviation=218kWh.

-We use the z-test to test for the probability of mean consumption being between 1100kWh and 1225kWh as:

[tex]P(1100<X<1225)=P(\frac{1100-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{1225-\mu}{\sigma})\\\\=P(\frac{1100-1050}{218}<Z<\frac{1225-1050}{218})\\\\=P(0.2294<Z<0.8028)\\\\=P(Z<0.8028)-P(Z<0.2994)\\\\=0.7881-0.5910\\\\=0.1971[/tex]

Hence, the probability of mean consumption being between 1100 and 1225kWh is 0.1971

a bag contains 6 white marbles and 4 black marbles. a marble is drawn without replacing the first one. what is the probability of drawing a white marble on the first draw, followed by a white marble on the second?

Answers

Answer:

6  = white marbles

4  = black marbles

10 =  total marbles

6/10 - Pulling white marbles

4/10 - Pulling black marbles

10 - 4 = 6

2/6 - Pulling two white marbles

2/6 = 1/3 = 0.33 or 33%

I hope this helped!

The probability of drawing a white marble on the first draw after following the second draw of white marble should be 0.33.

Given that

There are 6 white marbles.There are 4 black marbles.The total marbles are 10.

Now based on the above information

Put white marbles be [tex]\frac{6}{10}[/tex]

And, black marbles be [tex]\frac{4}{10}[/tex]

So,

= 10 - 4

= 6

Now pull two white marbles i.e.

[tex]= \frac{2}{6} \\\\= \frac{1}{3}\\\\= 33\%\ or\ 0.33[/tex]

Therefore we can conclude that The probability of drawing a white marble on the first draw after following the second draw of white marble should be 0.33.

Learn more about the probability here: brainly.com/question/11234923

a painter can paint 20 windows in one day. If he has to paint 50 pairs of windows how much time will he take to paint

Answers

The painter would take 25 days to paint 50 pairs of windows, given that he can paint 20 windows in 5 days.

To solve this problem, we first need to find out how many windows are in 50 pairs of windows.

Since each pair consists of 2 windows, 50 pairs would mean 50 x 2 = 100 windows.

Now, if the painter can paint 20 windows in 5 days, we can find out how many days it would take him to paint 100 windows using a proportion:

20 windows ------- 5 days

100 windows ------ x days

We can set up the proportion:

20/5 = 100/x

Now, cross multiply:

20x = 5 x 100

20x = 500

Now, divide both sides by 20 to solve for x:

x = 500 / 20

x = 25

So, it would take the painter 25 days to paint 50 pairs of windows.

Complete Question:

A painter can paint 20 windows in 5 days.If he has to paint 50 pair of windows,how many much time will he take to paint them?​

Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 9t + 9 cot(t/2), [π/4, 7π/4]

Answers

Final answer:

To find the absolute maximum and minimum values of a function, we find the critical points and endpoints. Evaluating the function at these points gives the maximum and minimum values.

Explanation:

To find the absolute maximum and absolute minimum values of a function on a given interval, we need to find the critical points and endpoints of the interval.

To find the critical points of f, we need to find where the derivative of f is equal to zero or undefined. The derivative of f(t) = 9t + 9cot(t/2) is f'(t) = 9 - 9csc^2(t/2).

Setting f'(t) = 0, we have 9 - 9csc^2(t/2) = 0. Solving this equation, we get csc^2(t/2) = 1, which means sin^2(t/2) = 1. This gives us sin(t/2) = ±1. The critical points occur when t/2 = π/2 or t/2 = 3π/2. Solving for t, we get t = π or t = 3π as the critical points.

The endpoints of the interval are π/4 and 7π/4.

Now we evaluate the function f at the critical points and endpoints:

f(π/4) = 9(π/4) + 9cot(π/8) ≈ 6.566f(π) = 9π + 9cot(π/2) = 9πf(3π) = 9(3π) + 9cot(3π/2) = 27πf(7π/4) = 9(7π/4) + 9cot(7π/8) ≈ 46.607

From these evaluations, we can see that the absolute maximum value occurs at t = 7π/4 and is approximately 46.607, while the absolute minimum value occurs at t = π/4 and is approximately 6.566.

Learn more about Finding absolute maximum and minimum values here:

https://brainly.com/question/34340601

#SPJ11

Other Questions
If a man withdraws his mind from the love of beauty, and applies it as sincerely to the love of the virtuous; if, in serving his parents, he can exert his utmost strength; if, in serving his prince, he can devote his life; if in his intercourse with his friends, his words are sincerealthough men say that he has not learned, I will certainly say that he has.Confucius, from AnalectsWhat was the significance of Confucius and his teachings about morality, family, and loyalty? How do electromagnetism and gravitation differ from the strong and weak nuclear forces? Saving is:___________. 1. a sophisticated IOU that documents who owes how much and when payment must be made. 2. the desire to have goods and services sooner rather than later (all else being equal). 3. the purchase of new capital goods. 4. income that is not spent on consumption goods. Ward and June are in the 32% tax bracket. A bond of Dell Computer Corporation with a face value of $10,000 is included in their assets. The bond pays $1,000 interest annually. Ward and June gift the bond to their son, Wally (age 19), on January 1, 2019. Wally is in the 12% tax bracket. The 2019 net tax savings for the family unit of Ward, June, and Wally related to the transfer of the bond is: Overall starting a new business in Israel and Saudi Arabia is easier or harder than the world average A ball is dropped from 45 feet above the ground. With each bounce, its max height is 80% of its previous height. What is the ball's height at the 14th step of progression? (Round to the nearest hundredths) What are some advantages and disadvantages of home workouts? Write a program that asks the user to enter two dates (in YYYY-MM-DD format), and then prints which date is earlier. Your program should print an error message if the user enters an invalid date (like 2019-15-99). at ivans ice cream shop, 8 small sundays costs the same as ordering 4 small small sundays and 2 large sundays. if one small costs $3, how much does one large sunday cost Days after the conclusion of the Civil War the nation was shaken by - * At the end of the current year, Accounts Receivable has a balance of $590,000; Allowance for Doubtful Accounts has a debit balance of $5,500; and sales for the year total $2,660,000. Bad debt expense is estimated at 1/4 of 1% of sales. a. Determine the amount of the adjusting entry for uncollectible accounts. $ b. Determine the adjusted balances of Accounts Receivable, Allowance for Doubtful Accounts, and Bad Debt Expense. Accounts Receivable $ Allowance for Doubtful Accounts $ Bad Debt Expense $ c. Determine the net realizable value of accounts receivable. 00:00What is a logical mathematical argument in which every statement of fact is supported by a reason?? What is the length of the hypotenuse of the triangle? 20 cm 23 cm 40 cm 58 cm what is the y intercept of the line y= 4x - 10? To convert 67.9 decimeters to millimeters,multiply 67.9 by 10.multiply 67.9 by 10^2.divide 67.9 by 10^2.divide 67.9 by 10.Answer is B Darwin recorded distinct species of finches on different islands in the Galapagos. The images below show two species of finches he observed.On island X, he saw both species of finches. On island Y, he only saw the finch on the right. Based on these observations, what is the most likely conclusion Darwin would have made? Which one of the following is NOT a reason why logistics management is important?A. Customers are less demanding of quick delivery and mass customization.B. It is an integral part of the company strategy.C. Logistics adds additional values to the products.D. Logistics costs account for a high percent of sales. The Big River Casino is advertising a new digital lottery-style game called Instant Lotto. The player can win the following monetary prizes with the associated probabilities: 5% probability to win $10 4% probability to win $15 3% probability to win $30 1% probability to win $50 0.1% probability to win the Grand Prize, $1000. (a) Calculate the expected value of the prize for one play of Instant Lotto. (b) As a promotion, a visitor to the casino is given 20 free plays of Instant Lotto. What is the probability that the visitor wins some prize at least twice in the 20 free plays? (c) The number of people who play Instant Lotto each day is approximately normally distributed with a mean of 800 people and a standard deviation of 310 people. What is the probability that a randomly selected day has at least 1000 people play Instant Lotto? What is the % by volume of 50mL of ethylene glycol dissolved in 950mL of H2O? A shoe store donated a percent of every sale to hospitals.The total sales were $7,150 so the store donated $286.What percent of $7,150 was donate to the hospitals