A student finds that the coefficient of determination between age and IQ is0.60. What percentage of variation in IQ can be explained by the linearrelationship with age?A. 0%B. 30%C. 36%D. 60%E. 77%

For each statement for triangle SQP and SQR, Q is the midpoint of PR: No, ∠P ≅ ∠R: No, ∠PSQ ≅ ∠RSQ: Yes, m∠P = 33°, m∠RSQ = 57°: No, ∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes.

What is triangle?

A triangle is a geometric shape that consists of three line segments connected end-to-end to form a closed shape. Triangles are one of the basic shapes studied in geometry and are used in a wide range of applications, from construction to computer graphics.

Here are the answers to whether each statement provides enough information to prove that △SQP ≅ △SQR:

Q is the midpoint of PR: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the angles or sides.

∠P ≅ ∠R: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠SQP is a right angle, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-side (AAS) congruence criterion.

∠SQP is a right angle, m∠P = 33°, m∠RSQ = 57°: No, this information alone is not sufficient to prove the triangles are congruent. We need additional information about the sides or other angles.

∠P ≅ ∠R, ∠PSQ ≅ ∠RSQ: Yes, this information is sufficient to prove that the triangles are congruent by the angle-angle-angle (AAA) congruence criterion.

To learn more about triangle visit:

https://brainly.com/question/17335144

#SPJ1

Answer:

2

Step-by-step explanation:

Parallel lines have the same slope. Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is no question to help with? Maybe ask your teacher or computer guy.

The most appropriate measure of variability to use in this case is the IQR (Interquartile Range) of 13.

The reason for this is that the data appears to be skewed towards the higher values, with more donations in the higher range (from 40 to 59 dollars) and fewer in the lower range (from 10 to 39 dollars).

Using the range (which is the difference between the highest and lowest values) would not accurately represent the variability of the data, as it would be heavily influenced by the outliers. On the other hand, the IQR, which is the range of the middle 50% of the data, is a more robust measure of variability that is not influenced by outliers. Therefore, the IQR of 13 is the most appropriate measure of variability to use in this case.

Learn more about measure of variability at https://brainly.com/question/14544205

#SPJ1

The positive square root of 57.27 is approximately 7.5726, with further decimal places available through iterative approximation methods.

To find the positive square root of the number 57.27, we can use a calculator or mathematical operations.

Taking the square root of a number involves finding a value that, when multiplied by itself, gives the original number. In this case, we want to find the value that, when squared, equals 57.27.

Using a calculator, we can find the square root of 57.27 as approximately 7.5726. However, it's important to note that this is an approximation and may not be completely accurate due to rounding errors.

If we want to find a more precise answer manually, we can use iterative approximation methods. One such method is the Newton-Raphson method, which involves repeatedly refining an initial guess.

Starting with an initial guess of, let's say, 7, we can use the formula:

x(n+1) = (x(n) + (57.27/x(n)))/2,

where x(n) is the current approximation and x(n+1) is the next approximation. Iterating this formula a few times will converge to a more accurate value.

After a few iterations, we find that the positive square root of 57.27 is approximately 7.572615. This value can be further refined by performing more iterations or using more advanced numerical methods.

For more such questions on positive square root visit;

https://brainly.com/question/14474761

#SPJ8

Answer:

In mih's school there are 100 boys

While in Ella's school there are 80 boys

Step-by-step explanation:

X*1/5=20

X=100

X*1/4=20

X=80

Answer:

That's only 50 minutes

Answer:

From what my calculations said its 20%

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

Answer:

The difference in temperature = 27-(-4)=31 degree

Step-by-step explanation:

\(\begin{align}\sf\:\Phi_1 &= \iint_{S_1} (-2u^6\cos(v) - 2u^3\sin(v)) \, du \, dv \\ &= \int_{0}^{1} \int_{0}^{2\pi} (-2u^6\cos(v) - 2u^3\sin(v)) \, dv \, du \end{align} \\\)

so basically what you have to do is

SOLUTION

The points are

The equation is writing using the formula below

where

Then, we substitute the parameters into the formula above

Simplifying further, we have

Then in the slope-intercept form, we have the equation as

Therefore the equation of the line in the slope-intercept form is

y=(1/7)x +2

Answer:

To find the number of federally insured banks in 1985, we need to substitute t = 1985 into the equation B(t) = -328.2t + 13716:

B(1985) = -328.2 * 1985 + 13716

B(1985) = -648537 + 13716

B(1985) = 7122

So, there were approximately 7122 federally insured banks in 1985.

The slope of the graph of B represents the rate of change. From the equation B(t) = -328.2t + 13716, we can see that the slope is -328.2. Therefore, the interpretation of the slope as a rate of change is: "The number of banks decreased by 328.2 banks per year."

The y-intercept of the graph of B represents the value of B when t = 0, which corresponds to the year 1980. From the equation B(t) = -328.2t + 13716, the y-intercept is 13716. Therefore, the interpretation of the y-intercept is: "The y-intercept is the number of banks in 1980."

The conclusion that can be drawn from the graph which shows the long - run relative frequency of 100 rolls of the die is B. The long - run frequency of rolling a 3 appears to be 0. 17.

The long-run frequency refers to the expected frequency of an event that would occur if a random experiment is repeated an infinite number of times. In other words, it is the probability of an event occurring in the long run or over a large number of trials. F

From the graph, we can see that when the number cube is rolled in the long term ( from 70 rolls ) the frequency of threes remains 0. 17. This shows that this frequency is the long - run frequency.

Find out more on long - run frequency at https://brainly.com/question/29407815

#SPJ1

Answer:

37, 3, 37

Step-by-step explanation:

The true statements about the construction are:

From the construction, we have the following highlights

Chords AX, AY and XY are congruent.

The above means that:

Hence, the true statements are (a), (c) and (d)

Read more about constructions at:

https://brainly.com/question/594583

Answer:

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Using the slope formula (y1-y2)/(x1-x2), the slope of the line is (-10-8)/(9-0), which is equal to (-18)/9= -2.

Slope of the given coordinates (9,-10) and (0,8) is -2.

In Mathematics, a slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = change in y/change in x = Δy/Δx

Where “m” is the slope of a line.

Given, coordinates of the two points,

(x₁ , y₁) = (9, -10)

(x₂ , y₂) = (0, 8)

slope m = (y₂ - y₁)/(x₂ - x₁)

             = (8 - -10)/(0 - 9)

             = (8 + 10)/-9

             = 18/-9

slope m = -2

Hence, -2 is the slope for given coordinates (9,-10) and (0,8).

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

Answer:

dhjfydhftb7cuvdihcdjxuihy

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640

#SPJ1

9514 1404 393

Answer:

  a) y = 0 +3x

  b) 3; the line rises 3 units for each unit to the right

  c) (0, 0); the line crosses the y-axis at y=0

Step-by-step explanation:

a. The y-intercept is the point on the y-axis where the line crosses. That point is (0, 0). The y-coordinate there is the value of b in the equation.

The slope is the ratio ...

  m = rise/run

The points marked are separated by 3 units vertically for each 1 unit horizontally. Points on the right are above those on the left, so the "rise" is positive for a positive "run".

  m = 3/1 = 3

Then the equation is ...

  y = 0 + 3x

__

b. The slope is 3. It is the ratio of rise to run.

__

c. The y-intercept is 0. It is the y-coordinate of the point where the line crosses the y-axis.

Step-by-step explanation:

I hope this answer is helpful ):

Answer:

ttttttyyyyyyyyyhghhh

Answer:

  (a)  5 : 8 < 7 : 10

  (b) 9/6 = 36/24

Step-by-step explanation:

Perhaps simplest to explain is the use of a common denominator: 40.

  \(5 : 8 = (5\cdot5):(8\cdot5)=25:40\\\\7:10=(7\cdot4):(10\codt4)=28:40\\\\25:40 < 28:40\quad\leftrightarrow\quad\boxed{5:8 < 7:10}\)

__

Other ways you can do this comparison are ...

  Multiply by 8·10 = 80, the product of the denominators:

     5·10 = 50 < 7·8 = 56

  Convert the fractions to decimal:

     5/8 = 0.625 < 7/10 = 0.700

__

Remove a factor of 4 from the second fraction:

  \(\dfrac{9}{6}\text{ and }\dfrac{36}{24}\quad\leftrightarrow\quad\boxed{\dfrac{9}{6}=\dfrac{9\cdot4}{6\cdot4}}\)

Answer:

q = \(-\frac{17}{5}\)   or -3.4

Step-by-step explanation:

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip