Let's consider the data below which shows 4 students with their scores on math, verbal, and combined math and verbal tests. Math (x)Verbal (y)Combined (x + y)15201530135 14501480136 15201360134 14601390135 15301500138.
The regression equation for predicting the combined score from the math score is as follows:\hat{y} = 1030 + 7.9x$.If a student scores perfectly on the combined math and verbal test, then y = 1600, so x + y = x + 1600.Substitute in the regression equation as shown below:$1600 = 1030 + 7.9x + \text{error}.Rearrange the above expression to solve for the error which is the residual:
Residual = $1600 - 1030 - 7.9x$ = $570 - 7.9x.
Suppose that a student receives a score of 1600, which is the sum of the math and verbal scores. In this instance, we want to determine the residual for the student's math score. To begin, let's look at the given data. The data shows the scores of four students on math, verbal, and combined math and verbal tests. We need to find the residual for the math score of a student who has received a combined score of 1600.
We have a regression equation, $\hat{y} = 1030 + 7.9x$ for predicting the combined score from the math score. Since the student scored a perfect 1600 on the combined test, we have y = 1600 and x+y = x+1600. Using the regression equation and substituting the values, we can write: \hat{y} = 1030 + 7.9x + \text{error}. We want to find the residual, so we rearrange this equation.
Residual = 1600 - 1030 - 7.9x = 570 - 7.9x. Therefore, the residual is $570-7.9x$ for the math score of a student who has received a perfect combined score of 1600.
The residual of a student's math score who scores a perfect combined score of 1600 (math + verbal) is
570 - 7.9x (where x is the math score) according to the regression equation given in the question.
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Line m is a perpendicular bisector of line segment S Q. It intersects line segment S Q at point R. Line m also contains points T and V. Line segment S V is 4 x minus 1. Line segment S T is 3 x + 2.
Segment TQ is 26 units long. What is the length of QV?
8 units
26 units
31 units
32 units
Answer:
31 units
Step-by-step explanation:
just did it on edge
Answer:
C) 31 units
Step-by-step explanation:
just took the test on edg 2020
hope this helps :)
Chandler borrowed $15,800 and agreed to repay the loan with payments of $450 per month. Using an interest rate of j12-3.6%, calculate the amount of principal repaid during the first year of the loan.
Amount of principal repaid during the first year of the loan is $4,609.16 (rounded to two decimal places). It is given that Chandler borrowed $15,800 and agreed to repay the loan with payments of $450 per month.
The interest rate j = 12 - 3.6
= 8.4%
Convert it into a monthly interest rate.
It is 8.4/12
= 0.7%
Now, we need to calculate the amount of principal repaid during the first year of the loan.
Therefore, First, we need to calculate the monthly interest rate, r = 0.7/100
= 0.007
The monthly payment, A = $450
We can calculate the amount of principal repaid during the first year of the loan by using the following formula;
P = [tex]A/((1+r)^(12*n)-1)/r*(1+r)^(12*n) - 1[/tex]
Where n = 1 since we need to calculate the amount of principal repaid during the first year of the loan.
P = 450/((1+0.007)¹²-1)/0.007*(1+0.007)¹² - 1
= 450/(1.007¹² - 1)/0.007*1.007¹² - 1
= 450/(0.0908)/0.007*1.0908 - 1
= 450/11.0884/0.007*1.0908 - 1
= 450/0.007211/0.0079107 - 1
= $4,609.16 (rounded to two decimal places).
Hence, the amount of principal repaid during the first year of the loan is $4,609.16 (rounded to two decimal places).
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Point D'(7,1) is the image of D(7,6) under a translation.
Determine the translation.
Use non-negative numbers.
Answer:
its 5 down.
Step-by-step explanation:
point d` is 5 away from the start (D) there fore it goes 5 units and then its just a matter of up or down. because the two x units are the same, if you draw it on a graph then you will see the d prime is 5 units below D. So answer is 5 units down.
what is the answer for this 2a+a(a-3)
Answer:
a^2-a
Step-by-step explanation:
If you simplify this equation, you have to multiply (2a+a) by (a-3), which will give you a^2-a. a^2 means a squared.
x/-2 +10=7 help pls i need it.
What is an angle? Select all that apply.
a. An amount of space.
b. Two rays with a common endpoint.
c. Two rays.
d. A number of degrees.
An angle is two rays that share the same endpoint. The rays' endpoint is called the vertex, while the rays' distance is called the arms. The degree measurement of the angle can range from 0 to 360 degrees.
When two lines intersect, they form four angles, each with a specific degree measurement. The terms "acute," "right," "obtuse," "straight," and "reflex" refer to the degree measurements of the angle.
The four different types of angles are as follows:
Acute angle: An acute angle is less than 90 degrees in measurement.
Right angle: A right angle measures 90 degrees.
Obtuse angle: An obtuse angle measures more than 90 degrees but less than 180 degrees.
Straight angle: A straight angle measures 180 degrees.
Reflex angle: A reflex angle measures more than 180 degrees but less than 360 degrees.
Hence, the correct answers are b and c.
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What is the equation of the line that passes through points (2, −6) and (−4, 3)?
Answer:
y = -3/2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find slope m
[tex]m=\frac{3-(-6)}{-4-2}[/tex]
[tex]m=\frac{3+6}{-6}[/tex]
[tex]m=\frac{9}{-6}[/tex]
[tex]m=\frac{-3}{2}[/tex]
y = -3/2x + b
Step 2: Find y-intercept b
3 = -3/2(-4) + b
3 = 6 + b
b = -3
Step 3: Rewrite linear equation
y = -3/2x - 3
Answer:
y = -1.5x - 3
Step-by-step explanation:
Find the slope using rise over run, (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line
Plug in the points:
(y2 - y1) / (x2 - x1)
(3 + 6) / (-4 - 2)
9 / -6
3/-2 or -1.5
Then, plug in the slope and a point into y = mx + b to find b:
y = mx + b
-6 = -1.5(2) + b
-6 = -3 + b
-3 = b
Plug in the slope and b into y = mx + b
y = -1.5x - 3 is the equation
Solve the equation 5z-13=-3
Answer:
i think but not sure this is 16
abswer 16
Answer:
z = 2Step-by-step explanation:
[tex]5z-13=-3[/tex]
Collect like terms and simplify
[tex]5z = -3+13\\\\5z =10[/tex]
Divide both sides of the equation by 5
[tex]\frac{5z}{5} = \frac{10}{5} \\\\Simplify\\\\z = 2[/tex]
The collection of whole numbers is an example of a set. OA. True O B. False
Answer:
It is false
Step-by-step explanation:
Solve the compound inequality 10 + x < 20 and 4x > -24
Answer:
c
Step-by-step explanation:
1.) move all terms that are not x to the right side.of the inequalities.
10+x≤20 4x≥-24
-10 -10 4 4
x≤10 x≥-6
2.) combine the two equations to make -6≤x≤10
1/2y - 4 = -8
y=
HELP ME PLEASE I WILL GIVE YOU BRAINLIEST PLEASEEE
Answer:
y = -8
Step-by-step explanation:
1/2y - 4 = -8 (Add 4 to both sides)
1/2y = -4 (Multiply both sides by 2)
y = -8
determine the rate of change (slope) and starting point (y-intercept)
Answer:
B
Step-by-step explanation:
What is the value of the expression below when x = 4 ? 7x^2 + 8x - 7 , Please answer !!!!!!!! Will mark brainliest !!!!!!!!!
Answer:
137
Step-by-step explanation:
7x^2+8x-7
7(4)^2+8(4)-7
7(16)+32-7
112+32-7
144-7
137
At what point does the curve have maximum curvature? y = 4ex
(x, y) =
What happens to the curvature as x → [infinity]?
We have found that the point where the curve y = 4ex has maximum curvature is (ln(√3) / 2, 4√3 / 3). We have also found that the curvature of the curve approaches zero as x → ∞.
First, let us differentiate the given equation with respect to x to obtain the value of dy/dx.
So, y = 4ex
dy/dx = 4ex* d/dx(x)
dy/dx = 4ex
Thus, the first derivative of the given function is:
dy/dx = 4ex
The second derivative of the given function is:
d²y/dx² = d/dx
(dy/dx) = d/dx(4ex) = 4ex
As we know that the curvature of a function y = f(x) is given by
K = |d²y/dx²| / [1 + (dy/dx)²]^(3/2)
Therefore, substituting the values of dy/dx and d²y/dx² in the above equation, we get
K = 4ex / [1 + (4ex)²]^(3/2)
Thus, we have found the expression for curvature of the given curve y = 4ex.
Now, we need to find the maximum curvature of the curve.
To find the maximum curvature, we need to differentiate the curvature expression with respect to x and equate it to zero.
Then, we need to solve for the value of x to get the point where the maximum curvature occurs.
dK/dx = 0 = -24e^(3x) / [(1 + 16e^(2x))^2 * sqrt(1 + 16e^(2x))]
On solving the above equation, we get
x = ln(√3) / 2
Thus, the point where the curve has maximum curvature is (ln(√3) / 2, 4√3 / 3).
Now, let us find the value of curvature as x approaches infinity. Since the denominator of the curvature expression approaches infinity much faster than the numerator, the value of curvature approaches zero as x → ∞.
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A grocery store sells a bag of 5 oranges for $3.10. What is the cost of oranges, in dollars per orange?
Answer:
$0.62.
Step-by-step explanation:
Answer:
$0.62
Step-by-step explanation:
You'd find the answer by dividing 5 by 3.10, so it would look like this: 3.1/5
Your answer would be $0.62
beth is a member of the school swim team, and she specializes in distance events. today at practice, she plans to swim for 20 minutes at a constant speed of 75 meters per minute. the function d(m) represents the total distance beth has swum, in meters, during m minutes of practicing. what is the range of d(m)?
Answer:
d(m) can range up to 1500 meters
Step-by-step explanation:
multiply 20 by 75 since she will be swimming at a constant speed of 75 for 20 minutes
Can someone help me with this please, it is late and my mind is just gone :)
Answer:
[tex]w=-1/5\text{ or } 3[/tex]
Step-by-step explanation:
We have the equation:
[tex]-2|5w-7|+9=-7[/tex]
Let's first isolate the absolute value. Subtract 9 from both sides:
[tex]-2|5w-7|=-16[/tex]
Divide both sides by -2:
[tex]|5w-7|=8[/tex]
Now, we can split them into two cases. By the definition of absolute value:
[tex]5w-7=8\text{ or } -(5w-7)=8[/tex]
Let's do each case individually.
Case 1:
We have:
[tex]5w-7=8[/tex]
Add 7 to both sides:
[tex]5w=15[/tex]
Divide both sides by 5:
[tex]w=3[/tex]
Case 2:
We have:
[tex]-(5w-7)=8[/tex]
Divide both sides by -1:
[tex]5w-7=-8[/tex]
Add 7 to both sides:
[tex]5w=-1[/tex]
Divide both sides by 5:
[tex]w=-1/5[/tex]
So, our answers are:
[tex]w=-1/5\text{ or } 3[/tex]
And we're done!
the side lengths of triangle ABC are written in terms of the variable P where p is greater than or equal to 3
which is correct regarding the angles of the triangle?
Answer:
C
Step-by-step explanation:
I got it good
Answer:
C
Step-by-step explanation:
i got it correct
dora has a company that produces backpacks for exploring. The probability that a backpack is considered defective is 3%. When backpacks are randomly selected from the production line, use the notation defective (D) and non-defective (N). If five backpacks are randomly selected, what is the probability that the first one is defective and the next four are not? (Please answer fast)
Answer:
[tex]Probability = 0.0266[/tex]
Step-by-step explanation:
Given
D = Defective
N = Non-Defective
[tex]D = 3\%[/tex]
[tex]D =0.03[/tex]
N is calculated as thus:
[tex]N = 1 -D[/tex]
[tex]N = 1 - 0.03[/tex]
[tex]N = 0.97[/tex]
The required probability can be represented as:
Probability = DNNNN
And it is calculated as follows:
[tex]Probability = 0.03 * 0.97^4[/tex]
[tex]Probability = 0.0265587843[/tex]
[tex]Probability = 0.0266[/tex] -- Approximated
4x - 8 = 4(x-3) help please show me work for brainliest points
What is the length of the missing side?
(Will mark brainliest)
Answer: 9.7ft
Step-by-step explanation:
Answer:
9.7
Step-by-step explanation:
8.9+9.7+18.6=37.2
37.2-27.5=9.7
Can I get Brainliest!
What is the slope of the line that passes through the points (-20, 18) and (30, 14)?
25
2
5
o
2
25
Answer:
-2/25
Step-by-step explanation:
use the formula y2-y1/x2-x1
14-18/30-(-20)
-4/50
-2/25
Name a linear pair.
Answer:
Hey mate here is ur answer....
Step-by-step explanation:
Angle HEF or FEH is one linear pair. A linear pair is T shape in a figure. If you take a proper look you will get 5 linear pairs in this figure.
hope it helps you,
mark me as the brainliest,
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It cost Parker $7.11 to send 79 text messages. How much does it cost to send one text?
Answer: I am not sure but I think the answer is 0.09
"Which expression is NOT equivalent to the sum of 36 + 54?
a) 18( 2+3 )
b) 4( 9+6 )
c) 3( 12+18 )
d) 2(18+27 )
*plzzzz helppp*
Answer:
B equals 60 and 36+54 = 90
Answer:
b
Step-by-step explanation:
4.9=36
4.6=24
36+24
-1/5 divided by -2/7
Answer:
7/10
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
since they are both negative when you cross multiply it will become positive.
1×7=7
5×2=10
Please help on this question :(
Answer:
a and maybe d
Step-by-step explanation:
supplementary=adds to 180
cant be b becasuse both angles are acute meaning they are less than 90 degrees, so its unable to add to 180.
(9^2-2^6) -Г64 + 36/3(4)
Answer:
12
Step-by-step explanation:
Answer:
the answer is 441 because I just did it
Please answerrrrrerrrrr. -5x+12=19+2x
If the diameter of the Sun is about 100 times the diameter of the Earth, which of the following is the best approximation for the ratio of the volume of the Sun to the volume of the Earth? (A) 10
2
(B) 10
4
(C) 10
6
(D) 10
8
The ratio of the volume of the Sun to the volume of the Earth can be calculated using the formula for the volume of a sphere, V = (4/3)πr³, where r is the radius of the sphere.
Since we know that the diameter of the Sun is about 100 times the diameter of the Earth, we can say that the radius of the Sun is 50 times the radius of the Earth.
Therefore, the ratio of the volumes of the Sun and the Earth can be expressed as follows:
V (Sun) = (4/3)π(50r)³V (Earth)
= (4/3)πr³V (Sun) / V (Earth)
= [(4/3)π(50r)³] / [(4/3)πr³]V (Sun) / V (Earth)
= (50³r³) / r³V (Sun) / V (Earth)
= 50³V (Sun) / V (Earth)
= 125,000,000
So, the best approximation for the ratio of the volume of the Sun to the volume of the Earth is 10⁸ (which is answer choice D).
Therefore, option (D) is the correct option.
Note: A helpful tip to remember this formula is to divide the volume of a sphere by π/6, which will give you the formula for the surface area of a sphere.
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