Assume the following 5 scores represent a sample: 2, 3, 5, 5, 6. Transform these scores into z-scores. Show all steps

Answer: y=-2x+8 (first question), the slope would also be -7 (second question)

Step-by-step explanation:

Question 1: The slope intercept formula is y= m (the slope) x + b (y-intercept)

In this case, we already know m (the slope) is -2, all we need to find is the y intercept.

To find this, you need to know that the slope intercept formula helps you the get the y values (output), and every point on the line fits the equation.

What this suggests us is to find the solution by reversing the formula.

This can be done by substituting x of the slope intercept formula with -5, which is a x value, and y with 18. (and the slope too)

Rewrite the formula : 18= (-2) (-5) + b (y-intercept)

Solve the equation: 18= 10+b

b=18-10

b= 8

Now we have all the values of the slope intercept formula, we have our equation : y= -2x+8

Second question:

In contrast to a triangle, where slope is a measure of the angle a line makes with a horizontal plane, parallel lines have the same slope since parallel lines must have the same angle. Therefore, any line parallel to the equation y= -7x +1 has a slope of -7.

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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Answer:

2 tens or 20

9 millions or 9000000

4 ten thousandths or 0.0004

Step-by-step explanation:

Domain is the x value and Range is the y value. (A way to remember is by saying dr since domain is x and range is y)

Y value is also called f(x) as shown on your screen

The points are

(1,-8)

(2,5)

(3,-2)

(4,1)

The domain would be 4,3,2,1 and the range would be -8,-2,1,5

The common difference is that the domain follows a constant change of rate, but not the range.

A constant change of rate means that it's changing at a constant rate.

It can also be called slope.

E.G: 1,2,3,4 (constant change of rate is adding 1) or 9,6,3,0 (subtracting 3)

The domain is subtracting 1, yet the range isn't following a constant change of rate.

A way to find slope is in the image.

Answer:

Obtuse and the rest of the question is incomplete.

Step-by-step explanation:

Answer:

Its A) 2 units

Step-by-step explanation:

Answer:

(C) Multiply first equation by -2 and second equation by 3, solution (1, 1)

Step-by-step explanation:

Simultaneous equations are set of equations which possess a common solution. The equations can be solved by eliminating one of the unknowns by multiplying each of the equations in a way that a common coefficient is obtained in the unknown to be eliminated.

Given the simultaneous equations:

3x - 5y = -2

2x + y = 3

First step:

Multiply first equation by -2 and multiply second equation by 3,

-6x + 10y = 4

6x + 3y = 9

Second step:

Add the two equations together,

13y = 13

Divide both sides by 13

y = 1

Third step:

Put y = 1 in the first equation

3x - 5(1) = -2

3x - 5 = -2

3x = 5 - 2

3x = 3

Divide both sides by 3:

x = 1

solution (x,y) = (1,1)

Option C

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Answer:

76.38

Step-by-step explanation:

x = the number of boxes of felt tip pens

5x = the number of boxes of ballpoint pens

5x*4.41 + x*3.41 = 76.38

Answer:

The correct answer is coconuts

Step-by-step explanation:

Answer:

the correct answer is 64°

Step-by-step explanation:

Answer:

All the horizontal sections are the same shape like their base, but have different sizes.

All vertical sections through top are triangles, size are different.

The vertical sections not cut through top are 4 sided shapes, sizes are different.

Step-by-step explanation:

9514 1404 393

Answer:

  x = -25/3

Step-by-step explanation:

Multiply by the inverse of the coefficient of x. Reduce the fraction.

  (-5/2)(10/3) = (-5/2)(x/(-5/2))

  -50/6 = x = -25/3

Answer:

-25/3

Step-by-step explanation:

the other person is also correct. khan said so

Answer:

1. 87.5%

2. 0%

Step-by-step explanation:

sorry that I can't explain more, but I hope this helps!

Answer:

Please give brainliest

Step-by-step explanation:

c

Answer:

the vertex is the highest point on the graph — called the maximum, or max.

Step-by-step explanation:

hope this hoped

Answer:

me no sabo

Step-by-step explanation:

Answer:

A border of 3 cm width is printed on 500 sheets of paper, each of length 40 cm and width 30 cm fit costs 50p to print 100 cm of border, find the total cost of printing the border.

Answer:

1, 5, 15

Step-by-step explanation:

First, I knew 5 was one of them because, 5 was the median and there were only three numbers. Next you have to find out the first and last number. Then, I looked at the mean. To get the mean, you have to add all of the numbers up and divide that by how many numbers there are. Since the mean is 7 and there are 3 numbers, I knew that the sum of all three numbers was 21 because, 21 divided by 3 is 7. Then I saw that the range of all the numbers was 14. The range is the difference between the largest and smallest number so I knew that the largest number subtracted by the smallest number had to be 14. Then, I saw that 15-1=14, and 1+5+15=21. So the three integers are, 1, 5 and 15.

Answer:

the answer is -10

Step-by-step explanation:

Answer:

10 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

10 is the median of the given data....

Answer:

sorry, I think u got yr question incomplete.

To find the median:

- Arrange the data points from smallest to largest.

- If the number of data points is odd, the median is the middle data point in the list.

- If the number of data points is even, the median is the average of the two middle data points in the list.

Answer:

thousandths

hope this helpsss

Answer:1/2

Step-by-step explanation:

Answer:

50 percent or 1/2

Step-by-step explanation:

4/8 = 1/2

1/2=50%

Answer:

∠1 = ∠5

Step-by-step explanation:

The reason is because corresponding angles are equal! :)

Answer:

the picture on the far left is a reflection, the middle one is a transformation, the one on the right is a rotation.

Answer:

The recoil velocity of the gun is \(0.72\,\,\frac{km}{h}\)  and is pointing in opposite direction to the velocity of the bullet.

Step-by-step explanation:

Use conservation of linear momentum, which states that the momentum of the bullet (product of the bullet's mass times its speed) should equal in absolute value the momentum of the recoiling gun (its mass times its recoil velocity).

We also write the mass of the bullet in the same units as the mass of the gun (for example kilograms). Mass of the bullet = 0.010 kg

In mathematical terms, we have:

\(5\, kg * v= 0.01 \,kg\,* 360\,\frac{km}{h} \\v=\frac{0.01\,*360}{5} \,\,\frac{km}{h}\\v=0.72\,\,\frac{km}{h}\)

Answer:

ican you show the chart? then ill edit this to the answer

Step-by-step explanation:

      Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

Similar shapes are enlargements of each other using a scale factor.

All the corresponding angles in the similar shapes are equal and the corresponding lengths are in the same ratio.

The scale factors for length, area and volume are not the same.

From the given diagram,

 Statement              Reason

1.      LQ ║NP                  Given

2.     ∠Q ≅ ∠N                 ASA Theorem

3.     ∠L ≅ ∠P                   Alternate Interior Angles

4.    ΔLMQ ~ ΔPMN         ASA Similar Theorem

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Answer:

0.015

Step-by-step explanation:

Use binomial probability:

P = nCr pʳ qⁿ⁻ʳ

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this case, n = 16, r = 2, and p = 0.4.

P = ₁₆C₂ (0.4)² (0.6)¹⁴

P ≈ 0.015

The probability is approximately 0.015, or 1.5%.

Answer:

1

Step-by-step explanation:

The y-intercept on a x-y plane is the point on the graph where the line passes through the y-axis. In this case the line passes through the coordinate (0, 1), so the answer would be 1.

Hope this helps, have a great day.