y = −2x + 1
4x + 2y = −2

Answer:

a) The Z-score for Patricia's test grade is 0.32.

b) The z-score for Whitney's test grade is of 0.34.

c) Due to the higher z-score, Whitney's did relatively better.

Step-by-step explanation:

Z-score:

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

a. Calculate the Z-score for Patricia's test grade.

Patricia took a test in English and earned a 76.5. Students' test grades in the English class had a mean of 73.1 and a standard deviation of 10.5.

This means that [tex]X = 76.5, \mu = 73.1, \sigma = 10.5[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{76.5 - 73.1}{10.5}[/tex]

[tex]Z = 0.32[/tex]

The Z-score for Patricia's test grade is 0.32.

b. Calculate the z-score for Whitney's test grade.

Whitney took a test in Math and earned a 64.5. Students' test grades in Math had a mean of 60.9 and a standard deviation of 10.7.

This means that [tex]X = 64.5, \mu = 60.9, \sigma = 10.7[/tex]

The z-score is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64.5 - 60.9}{10.7}[/tex]

[tex]Z = 0.34[/tex]

The z-score for Whitney's test grade is of 0.34.

c. Which person did relatively better?

Due to the higher z-score, Whitney's did relatively better.

Answer:

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question, we have that:

[tex]P(A) = 0.2, P(B|A) = 0.5[/tex]

What is P(A and B)?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)*P(A) = 0.5*0.2 = 0.1[/tex]

P(A and B) = 0.1 = 10%

Step-by-step explanation:

Formula to find interior angles of regular polygon=(n-2)180×n

N= number of sides

in figure sides are 5

So,

(5-2)×180

3×180

540 Answer

Answer:

108°

Step-by-step explanation:

Measure of each interior angle

[tex] = \frac{(n - 2) \times 180 \degree}{n} \\ \\ = \frac{(5 - 2) \times 180 \degree}{5} \\ \\ = \frac{3\times 180 \degree}{5} \\ \\ = \frac{540\degree}{5} \\ \\ = 108 \degree[/tex]

9514 1404 393

Answer:

  97 cm

Step-by-step explanation:

The perimeter is the sum of the side lengths. Starting from the upper left corner and working clockwise, the side lengths are ...

  10 +3 +33 +15 +33 +3 = 25+2(36) = 97 . . . cm

The perimeter of the figure is 97 cm.

Answer:

4 is the mode for this question

Answer:

Part A

6/40 = 0.15

Part B

16/40 = 0.4

Part C

10/40 = 0.25

Part D

8/40 = 0.20

Part E

The relative frequency of drawing a five-dollar bill is higher than the other relative frequencies. So, I can predict that Pablo is most likely to have more five-dollar bills than any of the others.

Part F

The relative frequency of drawing a one-dollar bill is lower than the other relative frequencies. So, I can predict that Pablo is most likely to have fewer one-dollar bills than bills of any other denomination.

Part G

It would not be a surprise if Pablo had fewer twenties than ones. The experiment was conducted only 40 times, and the numbers of times one-, ten-, and twenty-dollar bills were drawn are not very far apart. So, the number of twenties could be more or less than the number of ones. The same goes for tens and ones.

If you're on Plato an on slide 20 this Answer is for you:

If Pablo does an experiment 100 times, will the relative frequency be more accurate or less accurate than if he did the experiment 40 times? Why?

Answer: As the number of trials increases, the relative frequency becomes closer to the probability of the event. So, the relative frequency would be more accurate if the experiment were repeated 100 times rather than 40 times.

Answer:

The missing number is 21

Step-by-step explanation:

-12 + x = 9

x = 9 + 12

x = 21

Answer:

21

Step-by-step explanation:

let X = ( )

-12 + X = 9

X = 9 + 12

X = 21

Answer:

the value of p? its 26 because 26-12=14

Step-by-step explanation:

Answer:

p = 26

Step-by-step explanation:

p -12 + 12 = 14 + 12

p = 26

Answer:

C

Step-by-step explanation:

random guess

Answer:

I think B(in sorry if thats not correct)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yo diría que Messi

Answer:

it's a and d

Step-by-step explanation:

a.....................

Answer:

should be C

Step-by-step explanation:

Answer: 0.309, 0.969.

Step-by-step explanation: plato answer

Answer:

The answer I keep getting is 28 because when you add all the pounds it ends up as 7 and and you need to divide that by 1/4 which will be 7x4 be a vs he of the reciprocal so it is 28

hope this helps!!!!!!!  :)

Step-by-step explanation:

Answer:  it is 3

Step-by-step explanation:

Answer:

(assuming you are knowledge about Pythagoras theorem)

44.205

Step-by-step explanation:

draw the altitude line to the upper right corner and the lower left corner and you have 2 identical right triangles and a rectangle. If you solve the third side of the right triangles you get 1.685 (sqrt[7.2^2 - 7^2]).

now add up the areas of both triangles and the rectangle in the center whose base is 4.63 (subtract the 3rd side from 8)

you have

1.685(7) + 7(4.63)

Answer: b = 2A - B

Step-by-step explanation:

2. A = 2 . 1/2 . h (B + b)

2A = h (B+b)

2A/= h/h . (B+b)

2A/h = B+b

2A - B = B - +b

b = 2A - B

Answer:

this is either a random fact or  unfinished question. its probably caused by population increase

Step-by-step explanation:

Answer:

Slope: -2 and Y-int: 8

Step-by-step explanation:

Answer:

the correct answer is 13

Answer:

13.

Step-by-step explanation:

Answer:

The length of each side is (2a-5) units

Step-by-step explanation:

4a^2 - 20a +25

= (2a)^2 - 20a + (-5)^2

=(2a - 5)^2

(9a^2 - 16b^2)

= (3a)^2 - (4b)^2  this is the difference of two squares, the factors are therefore

= (3a + 4b) * (3a - 4b)

The dimensions of the rectangle are:

one pair of opposite sides are 3a + 4b

and the other pair of opposite side perpendicular to the first pair is 3a - 4b

Answer:

Step-by-step explanation:

Answer:

The dimension of the room is 8m by 3m

The length and width of the rectangle are 8 meters and 2 meters.

Given,

A rectangular room is 5 meters longer than it is wide.

Perimeter = 22 meters.

We need to find the dimension of the room.

A rectangle perimeter is given by :

P = 2 ( length + wide )

Find the length and width of the rectangle.

Let width = W

Let length = L

L = W + 5

Find the perimeter of the rectangle.

P = 2 ( L + W )

P = 22

22 = 2 ( W + 5 + W )

Divide both sides by 2.

11 = W + 5 + W

11 = 2W + 5

Subtract 5 on both sides.

11 - 5 = 2W + 5 - 5

6 =  2W

Divide both sides by 2.

3 = W

W = 3

We see that W = 2 and L = W + 5 = 3 + 5 = 8.

Thus the length and width of the rectangle are 8 meters and 2 meters.

Learn more about the perimeter of a rectangle here:

https://brainly.com/question/897975

#SPJ2

Answer:

last option:  answer is 'x'

Step-by-step explanation:

(3x + 1 - 1) / 3  =  3x / 3  = x

Answer:

y = sin(x + 90°)

Step-by-step explanation:

cos 0 = 1

Since the point (0, 1) is on the graph, this graph is y = cos x, but that is not a choice, so this must be the graph of the sine function with a horizontal translation.

sin 0 = 0

sin 90° = 1

The translation is 90°.

Answer: y = sin(x + 90°)

Answer:

Option (3)

Step-by-step explanation:

Given sequence is,

8, -8, 8,...........

Ratio of the 2nd and 1st term = [tex]\frac{-8}{8}[/tex]

                                                = -1

Ratio of 3rd and 2nd term = [tex]\frac{8}{-8}[/tex]

                                           = -1

Therefore, there is a common ratio 'r' = (-1)

And the sequence is a geometric sequence.

Explicit formula for the nth term of a geometric sequence is given by,

[tex]T_n=a(r)^{n-1}[/tex]

Here, 'a' = First term of the sequence

r = Common ratio

n = nth term

For the given sequence xth term of the sequence will be,

[tex]T_x=8(-1)^{x-1}[/tex]

Option (3) will be the answer.