Mathematics Middle School

Write your answer as a fraction in simplest form:
A number cube is rolled 37 times and the results are recorded as follows: 2 ones, 6
twos, 7 threes, 8 fours, 9 fives, and 5 sixes. What is the experimental probability of
rolling a number less than 4?

Answers

Answer 1
Add all the results up (37) and then add all the results less than 4, which are 2,6, and 7.  You will end up with 15. the experimental probability of rolling a  number less than 4 is 15/37. If you are counting 4, then the probability is 23/37...
Answer 2

[tex] |\Omega|=37\\
|A|=15\\\\
P(A)=\dfrac{15}{37}\approx41\% [/tex]

Related Questions

A pond has 60 fish
27 were carp and the rest were tench
10 fish were added
The probability that a fish picked at random is a carp is now 1 half
How many tench were added?

Answers

2 trench fish and 8 carp fish
2 tench fish were added. 
in total there are 70 after the 10 added. the probability of getting a carp is 1 half so divide 70 by 2 to see how many carp there are. 70/2 = 35. so right now there are 35 carp and 35 tench. Now, before the 10 were added, there was 60 fish and 27 were carp. So subtract 27 from 60 to know how many tech fish there was. 60 - 27 = 33. There was 33 tech fish and from 33 to 35 goes 2. So 2 tench fish were added.

find the radius of a sphere with surface area of 100 Pi square centimeters

Answers

The surface area of a sphere = 4πr²

4πr²=100π

Dividing both sides by 4π,

r² = 100π÷4π = 25

r² = 25

Taking the square root on both sides, 

r = 5 centimeters  

Kenji invests $3,500 at an interest rate of 3%, compounded monthly. How much is the investment worth at the end of 5 years?

Answers

3500(1 + .03/12)^12(5)
3500(1.0025)^60

The answer is:
$4,065.66 or $4,066

Hope this helps :)

Answer is $4,065.66

Compound Interest:

A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

(Given),

P = $3,500

r = 3% = 3/100 = 0.03

n = 12 (As there are 12 months in a year)

t = 5 years

=> 3,500 x [tex](1+\frac{0.03}{12} )^{12 X 5}[/tex]

=> 3,500 x (1.161616)

=> $4065.658 = $4065.66

So, The answer is $4065.66

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There are 60 office suites in a downtown building. For how many office suites does company C service the computers? -Company A services the computers at 1/3 of the office suites -Company B services the computers at 2/5 of the office suites

Answers

Company C services 16 office suites.

Company A services 1/3 of the suites and Company B services 2/5; together they service 1/3+2/5.  Find a common denominator; 15 is the smallest:

1/3=5/15
2/5=6/15

5/15+6/15 = 11/15

This means that 1-11/15 = 4/15 of the suites are serviced by Company C.

4/15 of 60 = 4/15(60) = 4/15(60/1) = 240/15 = 16

Answer:

16

Step-by-step explanation:

The distance between two cities on a map is 13 cm. What is the actual distance between the cities if the map is drawn at a scale of 1:50,000?

Answers

Answer:

6.5

Step-by-step explanation:

I swear it is. Just trust me!

what is 50,003,087 in expanded form

Answers

50000000+3000+80+7

This is the answer^

can someone help me find the volume of these?

Answers

The volume of the triangular prism is:
 V = (1/2) * (b) * (h) * (H)
 Where,
 b: base of the triangle
 h: triangle height
 H: prism height
 Substituting:
 V = (1/2) * (9) * (12) * (19)
 V = 1026 cm ^ 3

 The volume of the cylinder is:
 V = (pi) * (r ^ 2) * (h)
 Where,
 r: radio
 h: height
 Substituting:
 V = (3.14) * ((14/2) ^ 2) * (11)
 V = 1692.46 yd^3

what is the standard form
[tex]f(x) = (2x - 1)(x - 5)[/tex]

Answers

The standard form:[tex]f(x)=ax^2+bx+c[/tex]
[tex]f(x)=(2x-1)(x-5)\\\\\text{Use: (a + b)(c + d) = ac + ad + bc + bd}\\\\f(x)=2x\cdot x-2x\cdot5-1\cdot x-1\cdot(-5)\\\\=f(x)=2x^2-10x-x+5\\\\\boxed{f(x)=x^2-11x+5}[/tex]

Name the algebraic property that is being shown in the example: 5 + 4 + x = 4 + x + 5

Answers

That Would Be The Commutative Property of Addition

PLEASE HELP???!!!!!


A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

Answers

We'll use the Pythagorean Theorem
130^2 = side^2 +50^2
side ^ 2 = 16,900 -2,500
side ^ 2 = 14,400
side = square root (14,400)
side = 120 feet



the width should be 120 ft. your welcome :)

Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?

Answers

To solve this problem you must apply the proccedure shown below:

 You have that:

 -  Samantha receives a bill 3 times a year for tuition:

 3 times a year=3 trimeters=9 months

 - Samantha must complete 2 years of college to receive her degree:

 3 trimetersx2=6 trimesters

 - Each trimester costs $1,450 and the average cost for books each trimester is $350:

 Total cost=(6 trimeters)($1,450)+(6 trimeters)($350)
 Total cost=$10,800

Answer:

$10,800

Step-by-step explanation:

bill: $1,450

She's billed 3 times a year:   1,450x3= $4,350

She,s going to college for 2 years:   4,350x2= $8,700

$8,700 total for the classes itself

Books: $350

She has to buy books for each trimester: 350 x 3 = 1,050

She attends school for 2 years: 1,050 x 2 = 2,100

Total tuition plus the cost of books is $8,700 + $2,100 = $10,800

total cost for degree: $10,800

The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg?

Answers

Final answer:

To find the length of the smaller leg of the right triangle, we can use the Pythagorean theorem and solve the equation.

Explanation:

Let x be the length of the smaller leg of the right triangle. The larger leg is 3 cm longer, so its length is x + 3. The hypotenuse is 6 cm longer, so its length is x + 6.

According to the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we have the equation: x^2 + (x + 3)^2 = (x + 6)^2.

Solving this equation will give us the value of x, which is the length of the smaller leg.

Please Answer this for Me “Which type of graph would best show the high and low temperature outside today in four different cities.

Answers

A Double bar graph would be best for this type of data because you are comparing to types of data. The other answer is correct i misread the question
The best graph would be a pictograph.

Hope this Helps!!

Write a proportion that can be used to convert 50 meters into kilometers. Solve the proportion

Answers

so in a kilometer, there is 1,000 meters
so if you have 50 meters you can divide by 1,000 meters like:
50 meters/1 = 1 km/1,000 meters
which should get you 0.05 km

Final answer:

To convert 50 meters into kilometers, you use a proportion based on the relationship that 1000 meters equal 1 kilometer. The resulting proportion is 50/1000 = x/1, which simplifies to 0.05, showing that 50 meters is equivalent to 0.05 kilometers.

Explanation:

To convert 50 meters into kilometers, you must first know the relationship between meters and kilometers. There are 1000 meters in a kilometer. Next, you set up a proportion to figure out the equivalent distance in kilometers.

The proportion we will use is:

number of meters / 1000 = number of kilometers / 1

Insert the values into the proportion:

50 / 1000 = x / 1

When we solve for x, we will find out how many kilometers are equivalent to 50 meters.

To solve the proportion:

Multiply both sides of the equation by 1 kilometer to remove the fraction on the right side.

This simplifies to: 50 / 1000 = x

Thus, x equals 0.05, which means that 50 meters equal 0.05 kilometers.

lcm of (x-2)(x+3) and 10(x+3)^2

Answers

Least common multiple: factor them, then see what they have in common and what is leftover and multiply those expressions:

(x - 2)(x + 3)          10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²

Answer: LCM is 10(x - 2)(x + 3)²


fred has 10 coins in a book bag. He has 4 quarters, 1 penny, and 5 dimes. If Fred reaches into his book bag and draws a coin without looking, what is the probability that he will draw a quarter?

Answers

4/10  or 2/5
there is 4 possible items he needs to pull out of of 10 possible coins
It would probaly be a dime.

The price of a stock had a change of –3 dollars.
Explain how you would use a number line to find the absolute value of –3

Answers

The absolute value of -3 is -3
The absolute value of -3 is 3. You can use a number line to determine this by remembering what absolute value is. Absolute value is the distance a number is from zero. By knowing that, you can put a number on a number line and count the number's distance from zero.

Which expression is equivalent to 6p + 6p?

A. 12p
B. 36p
C. 12 + 2p
D. p6

Answers

Hello!

6p + 6p = 12p

The answer is A)12p

Hope this helps!

Answer:

12p

Step-by-step explanation:

cause 6p+6p= 12p

A family is trying to pick from different shades of paint for their living room. They have narrowed it down to three different blues and six different greens.
The family decides to just randomly select a color from these. What is the probability they will pick a shade of Blue.

answer the question in decimal form to the nearest percent.


PLEASE HURRY!!!

Answers

The correct answer is 3/9

help plz 5 points! plzz

Answers

4. This quadrilateral is a rectangle.
5. 1/2 gallon ---- 64 f. ounces,        1/2*2 gallon ---- 64*2 f. ounces,
                                                               1 gallon -128 oz
   160 *8=1280 oz in 160 glasses

1280 oz*1 gallon/128 oz =10 gallons

A quadrilateral with 4 equal angles but not 4 equal sides is a rectangle.

classify the expression 2x-x+5

Answers

First simplify the expression as much as possible.

2x - x + 5

2x - x = x

x + 5

There are two terms, x and 5. expressions that have two terms are known as binomials

binomials should be your answer.

hope this helps

Dilation ( effects of changing dimensions on perimeter and area)

A company that makes square tiles would like to make a square tile that has 4 times the area of their smaller tiles. if their smaller tiles have a perimeter of 16 inches. What will be the perimeter of their larger tile?

A- 8 in.
B- 32 in.
C- 64 in.
D- 256 in.

Answers

Final answer:

To make a tile with four times the area, the side length of the square is doubled. Thus, the perimeter of the larger tile, which is four times the side length, will be 32 inches.

Explanation:

The student is asked to determine the perimeter of a larger square tile if the company wishes to increase the area by 4 times, using a smaller square tile with a perimeter of 16 inches as a reference. The side of the smaller square tile can be calculated by taking the perimeter and dividing it by 4, which equals 4 inches. If we want a square with 4 times the area, it means that each side is doubled, therefore the length of the side of the larger square is 2 x 4 = 8 inches. To find the perimeter of the larger square, we multiply the side length by 4 (since a square has four equal sides), i.e., 8 x 4 = 32 inches. Therefore the perimeter of the larger tile will be 32 inches.

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How is the expression (5 + y) ⋅8 described by its factors and terms?

It has two factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has two terms.
It has two factors and the factor (5 + y) has two terms.

Answers

Answer: Choice D
It has two factors and the factor (5+y) has two terms

=========================================================
Explanation:

(5+y)*8 is in the form P*Q where
P = 5+y
Q = 8
So we have two factors multiplied together. A factor is simply a number that helps multiply to a larger one. Another example: 14 has the factors 7 and 2 because 7*2 = 14

The factor 5+y has two terms which are 5 and y. The terms are separated by a plus sign. If you had something like 5-y, then you can write it as 5+(-y) and you'd still have two terms.

Answer:

D It has two factors and the factor (5 + y) has two terms

Step-by-step explanation:

Did the test

Hope you have a wonderful day :)

Good luck on your test :D

A farmer was dividing up his one third of an acre of land between his 5 children. Since each child got the same amount of land, what fraction of the acre did each get

Answers

Each child got 1/15 of an acre

A sample mean is the best point estimate of :
a- population range.
B- population mean .
C- population mode .
D- population standard deviation.

Answers

I believe it would be B- population mean.
Hope this helps!! :)

The profits in hundreds of dollars, P(c), that a company can make from a product is modeled by a function of the price, c, they charge for the product: P(c) = -20c^2 + 320c + 5120. What is the maximum profit the company can make from the product?

Answers

640,000

This is because the vertex of the equation (which can be found by using -b/2a) is (8, 6400). Then you know it is expressed in hundreds of dollars, so you multiply the y term by 100 to get your answer. 

the maximum profit the company can make from the product is $6400.

To find the maximum profit the company can make from the product, we need to determine the price \( c \) that maximizes the profit function[tex]\( P(c) = -20c^2 + 320c + 5120 \).[/tex]

The maximum or minimum point of a quadratic function in the form [tex]\( ax^2 + bx + c \)[/tex] occurs at the vertex of the parabola. For a quadratic function [tex]\( f(x) = ax^2 + bx + c \)[/tex], the x-coordinate of the vertex is given by [tex]\( x = -\frac{b}{2a} \).[/tex]

In your case, the profit function is[tex]\( P(c) = -20c^2 + 320c + 5120 \)[/tex], where ( a = -20 ) and ( b = 320 ). Using the formula for the x-coordinate of the vertex:

[tex]\[ c_{\text{max}} = -\frac{b}{2a} = -\frac{320}{2(-20)} = -\frac{320}{-40} = 8 \][/tex]

So, the price ( c ) that maximizes the profit is $8.

To find the maximum profit, substitute ( c = 8 ) into the profit function:

[tex]\[ P(8) = -20(8)^2 + 320(8) + 5120 \]\[ P(8) = -20(64) + 2560 + 5120 \]\[ P(8) = -1280 + 7680 \]\[ P(8) = $6400 \][/tex]

Therefore, the maximum profit the company can make from the product is $6400.

Rewrite this function in the form that reveals the minimum of the function.
c(p)=p^2-28p+250

Answers

Given that the function is given by:
c(p)=p^2-28p+250
The minimum value of the function is at the derivative of c'(p)
thus from the function given:
c(p)=p^2-28p+250
c'(p)=2p-28
Thus the minimum function is c'(p)=2p-28

Mark earns $135 for selling a $1,500 refrigerator. Which sale listed has the same commission rate? A) $36 commission on a $400 dryer sale B) $40 commission on a $500 dryer sale Eliminate C) $210 commission on a $1,400 oven sale D) $30 commission on a $600 freezer sale

Answers

$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

Mark procures $135 for selling a $1,500 fridge.

The commission rate remains constant. Then the commission rate is given as,

Commission rate = 135 / 1500

Commission rate = 0.09

Let's check all the options, then we have

A)  $36 commission on a $400 dryer sale. Then the commission rate is given as,

Commission rate = 36 / 400

Commission rate = 0.09

$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.

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just answer no need to explain lol

Answers

The correct answer for the question shown in the image attached is the third (option C), which is:

 C. Shifted upwards by 28 units

 The explanation is shown below:

 1. The problem gives you the following linear function:

 f(x)=ax+b

  Where a is the slope and b is the y-intercept

 2. When you graph that linear function, you obtain a line.

 3. Therefore, if b (y-incercept) increases 28,000; the line will shifted 28 units upwards.

 4. As you can see, the correct answer is the option mentioned above.


The fixed costs are represented by b.

Addition of $28,000 means, we are adding 28 to the given function. Addition/Subtraction of a number to the function brings only vertical shift not the horizontal shift.

Addition bring upward shift and Subtraction brings downward shift. So, increase of $28,000 will bring an upward shift of 28 units.

So, the correct answer is option C

After 5.75 hours, Kyler had finished painting 62.5% of his house. He needs to paint a total of 4,000 square feet on his house. At what rate, in square feet per hour, does he paint

Answers

First, we are going to find the painted area of his house. We know that the total area he needs to paint is 4000 square meters, so 4000 is the area of this house. Now, to find the 62.5% of that area, we are going to multiply it by [tex] \frac{62.5}{100} [/tex]:
Painted area= [tex](4000)(\frac{62.5}{100})=2500[/tex]

Now, to find rate, in square feet per hour, we are going to divide the painted area by the number of hours: 
Rate=[tex] \frac{2500}{5.75} =434.78[/tex]

We can conclude that Kyler paints at a rate of 434.78 square feet per hour.
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Suppose that one news outlet makes the president's actions sound very reasonable, whereas the other makes the president's actions sound horrible. this is an example of __________. Ecris une forme (au prsent ou au pass compos) de sortir, partir, laisser ou quitter dans la phrase suivante.Il _________ les cls sur le table dans la salle manger. Sometimes folding forces layers to: A. bend B. age C. melt D. Harden What action taken by the Radical Republicans did the most to punish the South? Explain. Your client's campaign is getting a lot of clicks, but the conversion rate is low. which approach could help improve your client's conversion rate? A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2 in. Some friends play a game throwing darts onto the mat to see who can land a dart in one of the circles.Assuming that a dart always lands on the mat, what is the probability that a dart thrown at random will land inside one of the circles?Use 3.14 to estimate Pi.Enter your answer, as a decimal rounded to the nearest hundredth, in the box.P(landing in a circle) = PLEASE HELPWrite the standard equation of the circle in the graph. Question 12 options:(x 3)2 + (y + 2)2 = 18(x 3)2 + (y + 2)2 = 9(x + 3) + (y 2) = 9(x + 3)2 + (y 2)2 = 18 Can people help me please to find the volume about question number 10 please and tell me the answer step by step please I need help WILL MARK BRAINLEST * PLEASE HELP AND FAST :) What is the general word equation for salt formation by neutralization?metal + acid salt + waternonmetal + acid salt + wateracid + base salt + watermetal + base salt + water find two fractions with a difference of 1/2 but with neither denominator equal to 2 What does the author mean when he refers to reverse engineering the brain?a.studying brain activity by observing a person's actionsb.studying the electrical impulses of the brain and then comparing them to an average circuit boardc.studying the workings of the brain by disassembling its components and then reassembling themd.studying the anatomic structure from the back of the brain to the front? why did paris give Aphrodite the golden apple You have 1329.0 g of a bleach solution. the percent by mass of the solute sodium hypochlorite, naocl, is 3.62%. how many grams of naocl are in the solution? g Photons of what minimum frequency are required to remove electrons from gold? note: the work function for gold is 4.8 ev. Read The Lions Share by Aesop. What is the theme of this fable?The Lion went once a-hunting along with the Fox, the Jackal, and the Wolf. They hunted and they hunted until at last they surprised a Stag and soon took its life. Then came the question how the spoil should be divided. Quarter me this Stag, roared the Lion; so the other animals skinned it and cut it into four parts. Then the Lion took his stand in front of the carcass and pronounced judgment: The first quarter is for me in my capacity as King of Beasts; the second is mine as arbiter; another share comes to me for my part in the chase; and as for the fourth quarter, well, as for that, I should like to see which of you will dare to lay a paw upon it.Humph, rumbled the Fox as he walked away with his tail between his legs; but he spoke in a low growl. "You may share the labors of the great, but you will not share the spoil."Always look at the brighter side.Hard work is not always rewarded.The king is always right.A cunning mind always wins. How to find the answers to nine and ten? Please show your work. You are appearing for an interview, while presenting your qualifications during the interview, you want to display a professional attitude. which of the following is the first thing you should do? What three lifestyle factors decrease the risk of cardiovascular disease development? What plan did Europe introduce in 2005 to help the region fight climate change?