Yx2-7 use x =-4 and y = -3

Which of the following statements about the percentiles for the standard normal distribution are correct? A. The 90th percentile

shutvik [7]

Answer:

Correct option: (C) The 75th percentile is approximately 0.67

Step-by-step explanation:

The pth percentile is a data value such that at least p% of the data set is less than or equal to this data value and at least (100 - p)% of the data set are more than or equal to this data value.

If x is the pth percentile of a data set then,

P (X < x) = p/100

If $X\sim N(\mu, \sigma^{2})$ then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, $Z \sim N (0, 1)$ .

The 90th percentile of a standard normal distribution is:

P (Z < z) = 0.90, then z = 1.28

The 10th percentile of a standard normal distribution is:

P (Z < z) = 0.10, then z = -1.28

The 75th percentile of a standard normal distribution is:

P (Z < z) = 0.75, then z = 0.67

The 15th percentile of a standard normal distribution is:

P (Z < z) = 0.15, then z = -1.04

Thus, the correct statement is (C).

7 0

3 years ago

I have no clue how to do this! Find mAC

pickupchik [31]

Step-by-step explanation:

7.5 is an answer because it is example of cantral angle bisector of circle

5 0

3 years ago

Read 2 more answers

Pax wants to make Fruit punch third-party using the recipe below.

horsena [70]

multiply everything by 3 then add it all up

1.25×3= 3.75

2.5×3= 7.5

1×3=3

7.5+3.75+3= 14

4 0

4 years ago

The volume of a box (v) varies directly with its length (l) if one of the boxes has a volume of 325 cubic inches and a length of

stiks02 [169]

Answer:

The constant of proportionality for the group of boxes is: 25

Step-by-step explanation:

Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.

Let l be the length and v be the volume

Then according to given statement

V∝l

Removing the proportionality symbol introduces a constant in the equation

$V = kl$

Putting V = 325 and l = 13

$325 =k(13)\\k = \frac{325}{13}\\k = 25$

Hence,

The constant of proportionality for the group of boxes is: 25

5 0

3 years ago

Use 1/2ab sin C formula pls

Harman [31]

Step-by-step explanation:

$area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units$

3 0

3 years ago