the regression equation is ŷ = 29.29 − 0.96x, the sample size is 8, and the standard error of the slope is 0.22. what is the test statistic to test the significance of the slope

Answer:

8

Step-by-step explanation:

y=kx

-12=-4k

k=3

24=3x

x=8

y=kx

-12=-4

k=3

24=3x

X=8

Wrong step: 6

she should have, divided each side by 3

Answer:

r=52, v=9.96, a=-8.5 all calculated

Answer:

the probability of rain is 0.3. The probability of no rain is 1–0.3= 0.7

0.7 is the probability that it does not rain.Step-by-step explanation:

Answer:

fuimaa

Step-by-step explanation:

\(3\pi \\ 3\pi \times\ \frac{180°}{\pi} \\ 3 \times 180° = 540°\)

Answer:

do u have a full screenshot of it???

Step-by-step explanation:

Answer:

15m/s

Step-by-step explanation:

Answer:

k = 0.25

Step-by-step explanation:

The standard equation of a proportional relationship is

y = kx ← k is the constant of proportion

y = 0.25x ← is in this form

with k = 0.25

The expression for the total number of movie posters in her collection is 5 + 7 + 3(5) = 20. Therefore, she has 20 posters in total.

Total number is an expression used to describe a numerical quantity that is the sum of two or more other numerical quantities. It can be a whole number, a decimal, or a fraction. Total number can be calculated by adding all the individual components together, or it can be a result of a combination of different methods. Total number can be used to describe a variety of items, such as the total number of people in a room, the total number of items in a store, the total amount of money in a bank account, or the total number of units in a certain product. Total number can also be used to compare different sets of data, such as comparing the total number of students in a school to the total number of teachers.

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The interest earned is based only on the initial deposit, and does not accumulate any interest on previously earned interest.

What is Simple interest ?

Simple interest can be defined as ratio of product of principal amount, rate and time and hundred.

Let's say the bank offers a savings account with a simple interest rate of 5% per year. This means that every year, the account will earn interest equal to 5% of the initial deposit of 1000.

To calculate the interest earned in one year, we can use the formula:

interest = principal x rate

Where:

principal = 1000 (the initial deposit)

rate = 5% = 0.05 (the annual interest rate as a decimal)

So, the interest earned in one year would be:

interest = 1000 x 0.05 = 50

This means that at the end of the first year, the balance in the savings account would be:

balance = principal + interest = 1000 + 50 = 1050

If you leave the money in the account for another year, it will continue to earn interest at the same rate of 5%. So, after the second year, the interest earned would be:

interest = 1000 x 0.05 = 50

And the new balance would be:

balance = principal + interest + interest = 1000 + 50 + 50 = 1100

And so on, for each year that you leave the money in the account. Just remember that with simple interest,

Therefore, the interest earned is based only on the initial deposit, and does not accumulate any interest on previously earned interest.

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Answer:

12.56

Step-by-step explanation:

C=2πR

Circumference equals two times Pi times radius

Answer:

4 in

Step-by-step explanation:

volume = 64 in³

side = cubic root of 64 in³

side = 4 in

Check: If a cube has side 4 in, then its volume is 4 in × 4 in × 4 in = 64 in³.

This shows that the answer 4 in is correct.

Answer:

Solution: To find: Length of the cube (s) = 4 inches Given: Volume of Rubik's cube = 64 in 3 Using the volume of cube formula, Volume of the cube = s 3, where 's' is the side length.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Same tape length measures 63 units on top and 7 times m on bottom.

Make an equation and solve for m:

Count the boxes noted with m

Now

Boxes are equal

\(\\ \sf\longmapsto 7m=63\)

\(\\ \sf\longmapsto m=63/7\)

\(\\ \sf\longmapsto m=9\)

number of eighth-graders who want fruit smoothies: 150

total number of students: 800

relative frequency: 150/800 = 3/16 ≈ 0.19

Answer:

from a to t

Step-by-step explanation:

a=64°

b=116°

c=116°

d=64°

e=108°

f=72°

g=108°

h=72°

i=108°

j=108°

k=72°

m=105°

n=79°

q=116°

s=75°

t=119°s

Hello!

First, let's analyze the exercise and write important information:

• investment account ,opened with $7500

• at the ,end of the year,, the amount in the account had, increased by 23.8%

Knowing this information, we are able to solve your exercise, look:

The account was opened with 7500 (that means 100%).

As there was an increase of 23.8%, we can say that after one year the account had 123.8%.

So, let's solve it using the rule of three:

Let's multiply it across:

So at the end of the year, there were $9285 in the account

To obtain the increase in one year, we can subtract the final value by the initial value, look:

$9285 - $7500 = $1785

The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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If the line PSR is "straight-line", then measure of angle PSQ is 61°.

In the triangle PQR, the angle measures are :

measure of ∠QPS is 65°, measure of ∠PRQ is 43°,

It is already given that, Line PSR is a straight line, where the angles are  divided in the ratio; (size of angle PQS) : (size of angle SQR) = 3:1,

We know that, interior angle's sum is 180°,

So, angle ∠PQR = 180° - (∠QPS + ∠PRQ)

Substituting the values,

We get,

measure of angle PQR = 180° - (65° + 43°) = 72°,

The angle PQR can be formed by the combination of two-angles, PQS and SQR,

So, we can write, ∠PQR = ∠PQS + ∠SQR;   ...equation(1),

We know that the ratio of angle, PQS : SQR is 3:1,

We can write,

∠PQS = 3 × (∠SQR);

Substituting the value in equation(1),

We get,

measure of angle PQR =  (3 × ∠SQR) + ∠SQR;

So, PQR = 4 × (∠SQR);

Substituting the value of angle-PQR as 72 degree,

We get,

72° = 4 × (∠SQR),

So, measure of angle SQR is 18°,

We also know that : ∠PQS = 3 × (∠SQR);

So, measure of angle PQS is 3 × 18° =  54°,

Next, We have measure of angle PSQ is = 180° - (65° + 54°) = 61°.

Therefore, size of angle PSQ is 61°.

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The given question is incomplete, the complete question is

PSR is a straight line. The size of angle PQS : size of angle SQR = 3 : 1,

Work out the size of angle PSQ.

The average of these numbers is 9 and the median is 8. The correct answer is: The average of these numbers is 9 and the median is 8.

The mean is widely used and often considered the most basic and intuitive measure of central tendency. It provides a single value that summarizes the entire dataset, giving an indication of the "typical" value or the central value around which the data tends to cluster.

The mean is sensitive to extreme values, meaning that outliers or very large or small values can significantly affect the mean. It is important to consider other measures of central tendency, such as the median or mode, when dealing with skewed or non-normal distributions.

The mean has several properties that make it useful in statistical analysis, including its ability to be used in further calculations, such as variance and standard deviation, and its interpretation as the balance point of the dataset.

To calculate the average (mean) of the given numbers, we sum all the numbers and divide by the total count:

Average = (18 + 1 + 5 + 6 + 12 + 13 + 8) / 7

= 63 / 7

= 9

To calculate the median, we arrange the numbers in ascending order and find the middle value.

Since there are 7 numbers, the middle value is the 4th number.

Arranged in ascending order: 1, 5, 6, 8, 12, 13, 18.

Median = 8.

Therefore, the correct answer is:

The average of these numbers is 9 and the median is 8.

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1. Determining the number of significant figures in given measurements:

a. 143 g - It contains three significant figures since each digit is measured and identified by the observer.

b. 0.074-meter - It contains two significant figures since 0 before the first non-zero digit (7) doesn't add any value.

c. 8.750 × 10−2 g - It contains four significant figures since all the non-zero digits are significant.

Also, the scientific notation indicates that the zeros on the left side are not significant.d. 1.072 meter - It contains four significant figures since each digit represents a measured value and is essential.

2. Out of the following values, - kg, s, m, or kmSolution:In the given options, kg represents the unit of mass, s represents the unit of time, m represents the unit of length, and km represents the unit of length (kilometer).Therefore, kg is not a unit of length.

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DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. Designs of experiments (DOE) is a statistical technique used in Six Sigma to collect, analyze, and interpret data.

It is a structured and organized method for determining whether there is a statistical correlation between two variables. DOE helps in identifying potential reliability problems and weaknesses in a product or process by systematically varying the factors and observing their impact on the output.

Productivity is a measure that broadly defines the efficiency of a process or system. It is calculated by dividing the output by the input. On the other hand, the quality-productivity ratio refers to the relationship between the quality and productivity of a product or process. It can be represented by the ratio of quality cost divided by production cost or the ratio of yield divided by total planned units.

In summary, DOE is a statistical tool for analyzing reliability issues, while productivity is a measure of efficiency. The quality-productivity ratio assesses the relationship between quality and productivity by considering factors such as quality cost, production cost, and yield.

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The balance in the fund at the end of 23 years, with monthly deposits of $1,150 and a 3.25% annual interest rate, is approximately $449,069.51. The amount of interest earned over the period is approximately $420,630.49.

a. The balance in the fund at the end of the 23-year period, considering a monthly deposit of $1,150 and an annual interest rate of 3.25% compounded annually, is approximately $449,069.51.

To calculate the balance, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the accumulated balance, P is the monthly deposit, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years.

In this case, we have monthly deposits, so we need to convert the annual interest rate to a monthly rate:

Monthly interest rate = (1 + 0.0325)^(1/12) - 1 = 0.002683

Using this monthly interest rate, we can calculate the accumulated balance over the 23-year period:

A = 1150 * [(1 + 0.002683)^(12*23) - 1] / 0.002683 = $449,069.51

Therefore, the balance in the fund at the end of the 23-year period is approximately $449,069.51.

b. The amount of interest earned over the 23-year period can be calculated by subtracting the total deposits from the accumulated balance:

Interest earned = (Monthly deposit * Number of months * Number of years) - Accumulated balance

Interest earned = (1150 * 12 * 23) - 449069.51 = $420,630.49

Therefore, the amount of interest earned over the 23-year period is approximately $420,630.49.

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Answer:

3 is less than x,and x is less than 6

Step-by-step explanation:

it means the value of x is greater than three and less than six

x > 3 but x < 6

Answer:

5/12

Step-by-step explanation:

It goes up 5 and over 12.

Answer:

y = 28

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

32 + y = 60

Step 2: Solve for y

A day has 24 hours, so 4 days have 4 * 24 = 96 hours.

The factory produces 350 smartphones per hour, so in 96 hours it can produce 350 * 96 = 33600 smartphones.

Therefore the factory can produce 33600 smartphones in 4 days.

Answer:

1. 16

2. 4

3. x = 11

4. (-2, 5)

5. (-10, -5.5)

Step-by-step explanation:

1. Because Q is the midpoint, PQ + QS = PS, and PQ = QS

PQ = 8, so QS = 8

8+8 = 16 = PS

2. QS = 8, and R is the midpoint, so QR is half

8/2 = 4, QR = 4

3. PQ = QS (because Q is the midpoint of PS)

3x - 4 = 29

3x = 33

x = 11

4. midpoint formula: add the two x coordinates, then divide by 2 to get the x coordinate, add the two y coordinates and divide by 2 to get the y coordinate

x coordinate: \(\frac{-9+5}{2} = -2\)

y coordinate: \(\frac{3+7}{2} = 5\)

(-2, 5)

5. Use the midpoint formula again

x coordinate: \(\frac{-12+-8}{2} =-10\)

y coordinate: \(\frac{-7+-4}{2} =-5.5\)

(-10, -5.5)

Answer:

Number of people in each car = x = 8

Number of people in each van = y = 22

Step-by-step explanation:

Let

Number of people in each car = x

Number of people in each van = y

8x + 8y = 240 (1)

4x + y = 54 (2)

From (2)

4x + y = 54 (2)

y = 54 - 4x

Substitute y = 54 - 4x into (1)

8x + 8y = 240 (1)

8x + 8(54 - 4x) = 240

8x + 432 - 32x = 240

8x - 32x = 240 - 432

-24x = -192

x = -192/-24

x = 8

Substitute x = 8 into (2)

4x + y = 54 (2)

4(8) + y = 54

32 + y = 54

y = 54 - 32

y = 22

Number of people in each car = x = 8

Number of people in each van = y = 22

Answer:

it's black - re attach it

Step-by-step explanation: