Answer:
y = -2x + 6 - 2
y = -2x + 4
The slope of the line is -2.
Step-by-step explanation:
Answer:
Y+2= -2(x-3)
Subtract 2 both sides
Y= -2x + 6 -2
Y= -2x + 4
The slope is. -2
Step-by-step explanation:
If one quart bottles of apple juice have weights that are normally distributed with a mean of 64 ounces and a standard deviation of 3 ounces, what percent of bottles would be expected to have less than 58 ounces?
(1) 6.7% (3) 0.6%
(2) 15.0% (4) 2.3%
Answer:
Approximately 2.5%
Step-by-step explanation:
Note that if the mean is 64 oz, then one standard deviation below that would be 61 oz., and two standard deviations beow 64 oz would be 58 oz.
So our task boils down to finding the area under a standard normal curve to the left of 58 oz.
We can do this in two ways.
One is to apply the Empirical Rule, which states that 95% of data lies within 2 standard deviations of the mean, on both sides of the mean. Thus, 5% lies outside the lines representing 2 standard deviations on both sides; half of that (representing the area under the curve to the left of 58) is 2.5%, which is the answer to this question.
The other way is to use a calculator with probability distribution functions built in:
normcdf(-1000, 58, 64, 3) = 0.0228, or approximately 2.28%. Here "-1000,58" represents the area under the curve to the left of 58, 64 represents the mean, and 3 represents the standard deviation.
Ratio that is equivalent to 8:20
Answer:
Step-by-step explanation:
25 is equivalent to 820 because 2 x 20 = 5 x 8 = 40. 410 is equivalent to 820because 4 x 20 = 10 x 8 = 80. 615 isequivalent to 820 because 6 x 20 = 15 x 8 = 120.
Answer:
4:10 = 8:20( when multiplied by 2)
24:60 divide by 3 we get 8:20
2:5 multiply by 4 we get 8:20
HELP ASAP WORTH 30 PTS!!!!!!!!!!!
True or False? The higher the Mean Absolute Deviation (MAD) is of a set of data, the closer the data is grouped.
Answer:
FALSE=Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean. Mean absolute deviation is a way to describe variation in a data set.
Step-by-step explanation:
Solve the system of equation
2x-y= 6
x+y= -3
that is the solution to the simultaneous equation
Answer:
(1, - 4 )
Step-by-step explanation:
Given the 2 equations
2x - y = 6 → (1)
x + y = - 3 → (2)
Adding the equations term by term will eliminate the term in y, that is
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting in (2) gives
1 + y = - 3 ( subtract 1 from both sides )
y = - 4
Solution is (1, - 4 )
Plz help me out ASAP!!!!!
Answer:
540
Step-by-step explanation:
Which must be true?
Answer:
the answer is number three
Step-by-step explanation:
1/2 (10x-2) +3x = 25 what is the solution to this problem?
[tex]\text{Solve for x:}\\\\\frac{1}{2}(10x-2) +3x = 25\\\\\text{Distribute the 1/2 to the numbers inside the parenthesis}\\\\5x-1+3x=25\\\\\text{Combine like terms:}\\\\8x-1=25\\\\\text{Add 1 to both sides}\\\\8x=26\\\\\text{Divide both sides by 8}\\\\x=\frac{26}{8}\\\\\text{Simplify the fraction by dividing by 2}\\\\\boxed{x=\frac{13}{4}}[/tex]
The solution to the problem 1/2 (10x-2) +3x = 25 is x = 3.25 which is obtained by expanding the equation, combining like terms, isolating the variable, and then solving for the variable.
Explanation:Let's solve the equation 1/2 (10x-2) +3x = 25 step by step to find the solution to this problem.
Firstly, expand the equation: 1/2 * 10x is 5x, and 1/2 * -2 is -1. Therefore, the equation becomes 5x - 1 + 3x = 25.
Next, combine like terms on the left side of the equation. 5x + 3x is 8x, so you have 8x - 1 = 25.
Then, add 1 on both sides to isolate 8x on the left side. The equation becomes 8x = 26.
Finally, divide both sides by 8 to solve for x. Therefore, x = 26 / 8 = 3.25.
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Evaluate f3 + 11g - 4h when f = 3,9 = 2 and h = 7.
Final answer:
By substituting the given values f = 3, g = 2, and h = 7 into the expression f3 + 11g - 4h, and performing the operations as directed, we find that the value of the expression is 3.
Explanation:
To evaluate the expression f3 + 11g - 4h when f = 3, g = 2, and h = 7, we substitute these values into the expression.
First, multiply f (which is 3) by 3: f3 = 3 × 3 = 9.Next, multiply g (which is 2) by 11: 11g = 11 × 2 = 22.Then, multiply h (which is 7) by 4: 4h = 4 × 7 = 28.Finally, add and subtract these results as per the expression: 9 + 22 - 28 = 3.Therefore, the value of the expression f3 + 11g - 4h is 3.
There are 14 books on a shelf. 6 of these books are new.
(a) What is the ratio of used books to all books?
(b) What is the ratio of new books to used books?
Answer:
6:14
Step-by-step explanation:
what percent is $30 of $150
Answer:
30 percent of 150 is 20%
Answer:
$30 of $150 is 20%
brainliest??
Step-by-step explanation:
150/30 = 5
100% / 5 is 20%
=20%
Four students drew graphs of a linear function. Which student drew a line with a slope of 3? Analise On a coordinate plane, a line goes through points (negative 3, 0) and (0, 1). Benito On a coordinate plane, a line goes through points (0, negative 1) and (1, 2). Charlie On a coordinate plane, a line goes through points (0, negative 3) and (0, 3). Dariya On a coordinate plane, a line goes through points (2, 3) and (3, 0).
Answer:
Benito
Step-by-step explanation:
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Benito drew a line with a slope of 3. This is determined by using the slope formula and identifying the rate of change in the y coordinates with respect to the x coordinates for each line drawn by the different students.
Explanation:To find the slope of a line on a coordinate plane, we can use the slope formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line.
Analise's line goes through points (-3,0) and (0,1). The slope would be (1-0)/(0-(-3)) = 1/3.Benito's line goes through points (0, -1) and (1, 2). The slope is (2-(-1))/(1-0) = 3.Charlie's line is vertical, going through the points (0,-3) and (0,3). Vertical lines do not have a defined slope.Dariya's line passes through (2,3) and (3,0). The slope is (0-3)/(3-2) = -3.Therefore, the student who drew a line with a slope of 3 is Benito.
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If the base of a prism has an area of 24 m2
and the prism has a height of 7 m, what is the volume
of the prism?
A. 168 m3
B. 31 m3
C. 1176 m3
D. Not enough information.
DONT SCROLL
To find the volume of a prism, you multiply the area of its base by its height. Thus, the volume of a prism with a base area of 24 m² and a height of 7 m is 168 m³.
Explanation:The subject of this question is Mathematics, more specifically, geometry. The question wants to find the volume of a prism. The formula for finding the volume of a prism is Base Area x Height. In this case, the base area of the prism is given as 24 m², and the height is given as 7 m.
We use the formula: Volume = Base Area x Height which translates to Volume = 24 m² x 7 m= 168 m³. So the answer is 168 cubic meters, which corresponds to option A.
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a) Find the circumference of a circle whose radius is 4 inches. Round to the nearest tenth.
b) Find the length of AB ifm ZACB = 60° and the radius of the circle is 4 inches. Round to the nearest tenth.
Complete your work in the space provided or upload a file that can display math symbols if your work requires it
Answer:
a) C≈25.13
(ALSO, for "b" do you have a picture for it?)
Step-by-step explanation:
a) C=2πr
C=2π(4)
Answer:
Picture for b
Step-by-step explanation:
resolva a questão a seguir 18x -43= 65
Answer:
6
Step-by-step explanation:
18x - 43 = 65
move the 43 over by adding since it's being subtracted
18x = 108
divide by 18 to get x by itself
x = 6
Answer:
x=6
Step-by-step explanation:
According to the question
18x-43=65
Let's add 43 to both sides
18x=65+43
18x=108
Divide both sides by 18
x=6
Therefore x=6
The Bowden family is shopping for a new television. They are making their decision based on brand and size. The family has 20 possible outcomes for choosing a television. Which is a possible number of brands and sizes that the family has to choose from? 10 brands and 10 sizes 5 brands and 4 sizes 4 brands and 16 sizes 2 brands and 20 sizes
An airplane traveling at 400 mph at a cruising altitude of 7.2 mi begins its descent. If the angle of descent is 1 degree from the horizontal, determine the new altitude after 15 minutes. Round to the nearest tenth of a mile.
Answer:
New altitude = 5.5 miles
Step-by-step explanation:
We are given;
Velocity = 400 m/h
Angle of descent = 1°
Altitude = 7.2 miles
Time = 15 minutes = 15/60 hours = 0.25 hours
Now, the downward component of its speed is;
Vy = (400)sin(1°)
Vy = 6.98 mph
After a time t, its height will be;
h(t) = (7.2 - 6.98t) miles, for t = hours
We are given;t = 0.25 hrs
Thus;
h(0.25) = 7.2 - (6.98*0.25) miles
h(0.25) = 5.46 miles
h(0.25) ≈ 5.5 miles to the nearest tenth
The new altitude after 15 minutes of descent is approximately 5.5 miles.
Calculating the New Altitude of a Descending Airplane
To determine the new altitude of the airplane after 15 minutes of descending at an angle of descent of 1 degree from the horizontal, follow these steps:
Convert the speed of the airplane from mph to miles per minute:Hence, after 15 minutes, the airplane's new altitude is approximately 5.5 miles.
Yuki wants a display that shows the spread of data above and below the median.
What data display should Yuki use?
A. A dot plot is best for displaying the spread of data above and below the median, so Yuki should use a dot plot.
B. Dot plots and box plots are best for displaying the spread of data above and below the median. For these data, the median is too large and close to the maximum, so Yuki should use a dot plot.
C. A box plot is best for displaying the spread of data above and below the median, so Yuki should use a box plot.
D. A histogram is best for displaying the spread of data above and below the median, so Yuki should use a histogram.
Answer:
C. A box plot is best for displaying the spread of data above and below the median, so Yuki should use a box plot.
Step-by-step explanation:
Neither dot plot nor histogram shows the median of data, but box plot it does. Also, box plots show the how spread data is from minimum value to first quartile, from first quartile to median, from median to third quartile and from third quartile to maximum value.
6 times ( negative 1 )
Answer: -6
Step-by-step explanation:
Find the equation of the parabola that has zeros of x = –1 and x = 3 and a y-intercept of (0,–9). Question 1 options: A) y = 3x2 – 6x – 9 B) y = x2 – 2x + 9 C) y = 3x2 – 6x + 9 D) y = x2 – 2x – 9
Answer:
A
Step-by-step explanation:
Given the zeros are x = - 1 and x = 3 then the factors are
(x + 1) and (x - 3) and the parabola is the product of the factors, that is
y = a(x + 1)(x - 3) ← where a is a multiplier
To find a substitute (0, - 9) into the equation
- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )
3 = a, thus
y = 3(x + 1)(x - 3) ← expand the factors using FOIL
= 3(x² - 2x - 3) ← distribute by 3
= 3x² - 6x - 9 → A
The equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.
What is a parabola?An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.
Given the zeros are x = - 1 and x = 3 then the factors are (x + 1) and (x - 3) and the parabola is the product of the factors, that is
y = a(x + 1)(x - 3) ← where a is a multiplier
To find a substitute (0, - 9) into the equation.
- 9 = a(0 + 1)(0 - 3)
a(1)(- 3) = - 3a ( divide both sides by - 3 )
3 = a,
y = 3(x + 1)(x - 3)
Expand the factors and calculate.
y = 3(x² - 2x - 3)
y = 3x² - 6x - 9
Therefore, the equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.
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(6x2 - 4x + 11) + ( 4 - x2 – 3x)
Answer:
5x^2-7x+15
Step-by-step explanation:
(6x^2 - 4x + 11) + ( 4 - x^2 – 3x)
Combine like terms
6x^2 - x^2 -4x -3x +11+4
5x^2 -7x +15
1. Find 1% of a number: a) 400
b) 2,500
c) 657
d) 12
Step-by-step explanation:
[tex]a) \: 1\% \: of \: 400 = \frac{1}{100} \times 400 = 4 \\ \\ b) \: 1\% \: of \: 2500 = \frac{1}{100} \times 2500 = 25 \\ \\ c) \: 1\% \: of \: 657= \frac{1}{100} \times 657 = 6.57 \\ \\ d) \: 1\% \: of \: 12= \frac{1}{100} \times 12 = 0.12 \\ [/tex]
Complete the statements about the two cones. The volumes of the cones are equal when . If a > b, then the cross-sectional area of cone A is the cross-sectional area of cone B at every level parallel to their respective bases.
Answer: a=b , greater than
Step-by-step explanation:
Answer:
B and C
Step-by-step explanation:
Freddie uses 14 cup of blueberries for a batch of pancakes.
Drag the correct equation next to the number of cups to show how many batches of pancakes he can make from that number.
Answer:
Where are the equations
Step-by-step explanation:
Which graph best represents the solution to the system of equations shown below? y = -4x - 19 y = 2x − 1 A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 7, 3. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 3, 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7. A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 7, negative 3.
Answer:
Option 3
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.
Step-by-step explanation:
y = -4x - 19 y = 2x − 1
-4x - 19 = 2x - 1
6x = -18
x = -3
y = 2(-3) - 1 = -7
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.
What is a system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought
Given
y = -4x - 19 y = 2x − 1
-4x - 19 = 2x - 1
6x = -18
x = -3
y = 2(-3) - 1 = -7
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I am brain dead right now? plz help
Answer:
Step-by-step explanation:
B
Answer:
d
Step-by-step explanation:
3 times (x) is 3x
3 times (2y) is 6y
and 3 times (5) is 15 and the end result would be 3x+6y+15
Please someone help with my math
Answer:
1: do half then 12 more
2: 6/8 or 3/4
3: 8 or 8/100
4: 6.45,6.76
5: 1(83/100)
6:75/100
7:???
8:????
Step-by-step explanation:
hope this helped
AB is a diameter of circle S. Which arc must be a minor arc?
ZW
AWB
AB
WBZ
please help
Pls help I need an answer soon and pls make sure it’s right
Answer:
34
Step-by-step explanation:
4x+3x-8=90
so lets start by solving this
Let's solve your equation step-by-step.
4x+3x−8=90
Step 1: Simplify both sides of the equation.
4x+3x−8=90
4x+3x+−8=90
(4x+3x)+(−8)=90(Combine Like Terms)
7x+−8=90
7x−8=90
Step 2: Add 8 to both sides.
7x−8+8=90+8
7x=98
Step 3: Divide both sides by 7.
7x
7
=
98
7
x=14
Answer:
x=14
so plug this in and you get 3*14 -8
this equals 34
brainliest?
Answer:
It is 34 degrees
Step-by-step explanation:
Step 1: Make an equation
[tex]4x + 3x - 8 = 90[/tex]
Step 2: Combine like terms
[tex](4x + 3x) - 8 = 90[/tex]
[tex]7x - 8 = 90[/tex]
Step 3: Add 8 to both sides
[tex]7x - 8 + 8 = 90 + 8[/tex]
[tex]7x = 98[/tex]
Step 4: Divide both sides by 7
[tex]7x / 7 = 98 / 7[/tex]
[tex]x = 14[/tex]
Step 5: Find the measure
[tex]3x - 8[/tex]
[tex]3(14) - 8[/tex]
[tex]42 - 8[/tex]
[tex]34^o[/tex]
Answer: It is 34 degrees
Victoria wants to estimate the mean weight of apples in her orchard. She'll sample n apples and make a 95%
confidence interval for the mean weight. She is willing to use 0 = 15 grams as an estimate of the standard
deviation, and she wants the margin of error to be no more than 5 grams.
Which of these is the smallest approximate sample size required to obtain the desired margin of error?
The smallest approximate sample size required for Victoria to estimate the mean weight of apples with a 95% confidence level and a margin of error of no more than 5 grams is 35 apples.
Victoria wants to estimate the mean weight of apples in her orchard with a 95% confidence interval and a margin of error of no more than 5 grams, using an estimated standard deviation of 15 grams. To determine the smallest sample size (n) required, the following formula which incorporates the z-score for the desired confidence level, the standard deviation, and the desired margin of error can be used:
n = (z * σ / E)^2,
where z is the z-score corresponding to a 95% confidence level (which is 1.96), σ (sigma) is the estimated standard deviation (15 grams), and E is the desired margin of error (5 grams).
Plugging the values in gives us: n = (1.96 * 15 / 5)^2 = (1.96 * 3)^2
= 5.88^2 = 34.5744.
Since we cannot have a fraction of an apple, we round up to the nearest whole number. Therefore, the smallest approximate sample size required is 35 apples.
Victoria needs a sample size of at least 35 apples.
Victoria wants to estimate the mean weight of apples in her orchard with a 95% confidence interval and a margin of error no more than 5 grams. We are given the standard deviation of 15 grams.
To find the smallest approximate sample size n, we can use the formula for margin of error (E) in a confidence interval:
E = Z * (σ/√n)
Here, Z is the Z-score for a 95% confidence level, which is 1.96, σ (sigma) is the population standard deviation (15 grams), and n is the sample size.
Rearrange the formula to solve for n:
n = (Z * σ / E)²
Substitute the given values:
Z = 1.96σ = 15 gramsE = 5 gramsCalculate:
n = (1.96 * 15 / 5)²
n = (1.96 * 3)²
n = (5.88)²
n ≈ 34.57
Since the sample size must be a whole number, we round up to the nearest whole number, which is 35. Therefore, Victoria needs a sample size of at least 35 apples to achieve her desired margin of error.
What is the area of this irregular figure knowing that the formula for the area of a rectangle is l x w.
Answer:
35
Step-by-step explanation:
5+5+10+3+2+7+3=35
Answer:
The area is 42
Step-by-step explanation:
First you have to divide the figure into three rectangles
The first one has
Lenght=10
Width=5-2=30
Area=l x w=10x30=30
The other two are equivalent in lenght and width that means that if if we find the area of one we must multiply by 2 to find the other.
Rectangles 2 and 3
Lenght=3
Width=2
Area of one of them=3x2=6
Both rectangles=6x2=12
Now, we add everything up
Total Area=12+30=42