1 mile to yards, as a fraction..

Answer:

24

Step-by-step explanation:

Given the equation of the regression line :

y = - 20.3 + 0.489s

where ŷ is the predicted science score

s = IQ score

An actual science test score for a student is 52.6 with an IQ of 100.

Find and interpret the residual.

The predicted science test score for a student with an IQ of 100 is :

y = - 20.3 + 0.489(100)

y = - 20.3 + 48.9

y = 28.6

The residual = actual - predicted score

The residual = 52.6 - 28.6 = 24

Hence, the residual is 24 which is the error in prediction made about the actual score.

Answer:

−1.99; The regression line overpredicts the student's science test score.

Step-by-step explanation:

Answer:

\(\frac{1}{125}\)cm³

Step-by-step explanation:

volume of cube= (side)³

0.2³ = \(\frac{1}{125}\)

Answer:

45:55

75:85

Step-by-step explanation:

a:b

a = zoo

b = carnival

total amount:

15 x 3 = 45

15 x 3 = 45 + 10 = 55

45:55

5 people:

15 x 5 = 75

15 x 3 = 75 + 10 = 85

75:85

A function is a relationship between a few different inputs and an output, where each input can only lead to one possible outcome.

(i) The exponential function that models the decay of the substance is given by:

\(N(t) = Noe^(-0.088t)\)

(ii) If \(400g\) of the substance is present at to, then  \(No = 400g\) . Therefore, the amount of the substance remaining after 3 days is:

\(N(3) = 400e^(-0.0883) = 309.21g\)  (rounded to two decimal places)

(iii) The rate of change of the amount of the substance after 3 days is given by:

 \(dN/dt = -0.088N(3) = -0.088309.21 = -27.21 g/day\) (rounded to two decimal places)

(iv) To find the number of days it takes for half of the original \(400g\) of the substance to remain, we need to solve the equation:

\(N(t) = 0.5No\)

\(0.5No = Noe^(-0.088t)\)

\(0.5 = e^(-0.088t)\)

\(ln(0.5) = -0.088t\)

\(t = ln(0.5)/(-0.088) = 7.89 days\) (rounded to two decimal places)

Therefore, after  \(7.89\) days, half of the original  \(400g\) of the substance will remain.

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Given:

• Length of top base of figure A = 3

• Length of top base of figure B = x

• Scale factor = 1.75

Given that figure A is a scale image of figure B, let's find the value of x.

To find the value of x since figure A is a scale image of figure B, multiply the corre

The variable cost for x doughnuts produced is 0.25x.

What is variable cost?

Costs that vary according on how much of an item or service a company produces are known as variable costs.

The fixed cost for the company is $25,000, which is a constant amount that does not depend on the number of doughnuts produced. The variable cost, on the other hand, is the cost that varies with the number of doughnuts produced.

Since it costs $0.25 to produce each doughnut, the variable cost for x doughnuts can be calculated as 0.25x.

Therefore, the variable cost for x doughnuts produced is 0.25x.

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The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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\(~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$4000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &30 \end{cases} \\\\\\ A=4000[1+(0.02)(30)]\implies A=4000(1.6)\implies A=6400\)

Answer:

|a|

Step-by-step explanation:

if a was negative, the distance would be -a or absolute value a ( can be written as |a| ).

if a was positive, distance would be a. can also be written as |a|

Answer:

y = 3/4x - 2

Step-by-step explanation:

slope intercept form: y = mx + b

y-intercept(when x= 0) is given by b

slope is given by m

lets find the slope using the two given points, (4,1) and (8,4)

m = y2-y1 / x2-x1

m = 4 - 1 / 8 - 4

m = 3/4

Now use any of the given points to begin writing your equation, which will help you find the y intercept - ill use (4,1).

1 = 3/4(4) - b

1 = 3 - b

b = -2

now you have m and b so you can finish writing your equation.

y = mx + b

y = 3/4x - 2

Answer:

-5x-4

Step-by-step explanation:

4(1-3x)+7x-8

Distribute the 4

4(1)+4(-3x)+7x-8

4-12x+7x-8

Combine like terms

-12x+7x+4-8

-5x-4

hopes this helps please mark brainliest

Answer:

x≤-1 or x>4

Step-by-step explanation:

3-2x≥5 or 3(x-2)+1>7

remove bracket and group like terms

-2x≥5-3 or 3x-6+1>7

-2x≥2 or 3x>7+6-1

-2x≥2 or 3x>12

Divide both side by the co-efficient of x

-2x/-2≥2/-2 or 3x/3>12/3

x≥-1 or x>4

The correlation coefficient of r measures how closely the two variables, x and y, are related. If the coefficient is close to 1, it means that the two variables are strongly related, whereas if it is close to 0, it means that there is no relation between them.

The correlation coefficient of r is a measure of how closely related two variables are to each other. It is calculated by taking the covariance of the two variables and dividing it by the product of their standard deviations. The coefficient ranges from -1 to +1, with -1 indicating a perfectly negative linear relationship, 0 indicating no relationship, and +1 indicating a perfectly positive linear relationship. In the case of the sales manager analyzing the sales of snow shovels compared to the outside temperature, the correlation coefficient of r can be used to measure the strength of the relationship between the two variables. If the coefficient is close to 1, it indicates that the two variables are strongly related, while a coefficient close to 0 indicates that there is no relation between them.

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brainly is a good app ngl 100 best but I can help hu

Answer:

18 inches equals 45.72 centimeters

Step-by-step explanation:

\(1/2.54 = 0.39\\0.39*45.72=18\)

Answer:

B

Step-by-step explanation:

using the recursive rule \(a_{n}\) = 3\(a_{n-1}\) and a₁ = 10, then

a₁ = 10

a₂ = 3a₁ = 3 × 10 = 30

a₃ = 3a₂ = 3 × 30 = 90

the first 3 terms are 10 , 30 , 90

Answer: first one is 12 then second one is 10.5 then the third 9 then the fourth one is 7.5

Step-by-step explanation:

Answer:

the first one i thank

Step-by-step explanation:

The volume of the solid whose base is the semicircle y = √(16 - x²), where -4 < x < 4 and whose cross section perpendicular axis are squares is 256/3 unit³

To obtain the volume of a 3D shape, the cross-section area is discovered and then integrated across a predetermined limit. This technique is known as the cross-sectional method of volume fining. The area of the square base is determined in the given problem, and it is then integrated to determine the overall volume.

To find the volume we will first find the cross-sectional area and then integrate it with respect to x from -4 to 4.

Thus the volume is given as follows:

y = √(16 - x²)

V = ₋₄∫⁴ (√(16 - x²))² dx

V = ₋₄∫⁴ (16 - x²) dx

V = [16x - x³/3]₋₄⁴

V = (64 - 64/3 + 64 -64/3)

V = 256/3 unit³

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Answer:

The answer to your question is A. Yes, because the total will be $3.27

0.35(2)+0.99(2)+0.59≤4.

Then you multiply: .35(2)=.70. .99(2)=1.98.

Then add: .70+1.98+.59=3.27, so yes she can since 3.27 is less than 4 :)

Step-by-step explanation:

I hope this helps and have a good day!

Answer:

f(1) = -7

Step-by-step explanation:

Step 1: Define

f(x) = -x² + x - 7

f(1) = x = 1

Step 2: Substitute and Evaluate

f(1) = -(1)² + 1 - 7

f(1) = -1 + 1 - 7

f(1) = -7

Answer: 1/2

Step-by-step explanation:

First convert the equation into slope-intercept form.

-10 + x -2y = 0

+10               +10

 x - 2y = 10

-x             -x

-2y = 10 - x   Divide both sides by -2

y = 1/2x - 5

In this case the slope is 1/2  and the slopes parallel lines are the same but they must have different y intercepts.  Meaning that the slope of the other line will be 1/2.

Answer:

simelier means the same except diffrent size the only one that doesn't fit that is

b B only

Hope This Helps!!!

Answer:

I'm sorry but I don't know this one

Answer:

1.8

Step-by-step explanation:

the answer to the equation is x=15