Area of rectangle 12ft 6ft

The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st

madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 pvalue, we get the probability that the value of the measure is greater than X.

If $Z \leq 2$ or $Z \geq 2$ , the outcome X is considered to be unusual.

In this question:

$\mu = 8.21, \sigma = 1.9$

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 8.21}{1.9}$

$Z = -1.69$

$Z = -1.69$ has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

8 0

3 years ago

What is the sine value of 7 pi over 6? negative square root 3 over 2 square root 3 over 2 negative 1 over 2 1 over 2?

djverab [1.8K]

First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane. $\frac{7 \pi }{6} * \frac{180}{ \pi }=210$ . If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2

6 0

3 years ago

Read 2 more answers

Select True or False for each statement. 16.32 rounded to the nearest whole number is 16 feet per second. ? 16.32 rounded to the

Maurinko [17]

Answer:

a)16.32 rounded to the nearest whole number is 16 feet per second? True

b) 16.32 rounded to the nearest tenth is 16.3.? True

c) 16.32 rounded to the nearest hundredth is 16.33. ? False

Step-by-step explanation:

Select True or False for each statement.

a) 16.32 rounded to the nearest whole number is 16 feet per second. ?

16.32 to nearest whole number = 16 feet per second. This statement above is true.

b) 16.32 rounded to the nearest tenth is 16.3. ?

The number in the tenth position is 3, the number after it is 2.

Hence, 16.32 to the nearest tenth = 16.3

Hence, the above statement is true.

c) 16.32 rounded to the nearest hundredth is 16.33. ?

The number in the hundredth position is 2. There is no number after 2.

Hence,

16.32 to the nearest hundredth is 16.32

Hence, 16.32 rounded to the nearest hundredth is 16.33 is a false statement.

5 0

3 years ago

Need help with this question: four expressions are shown below.

Ede4ka [16]

1, 2, and 4 option 3....................................................

6 0

3 years ago

From their location in the diagram, what are two possible values for m and n?

yarga [219]

M=6/5 and n = sqrt(2), is rational (but not an integer) and n is irrational.

The case with n = sqrt(9)=3, is not a solution. The case with m=4pi neither.

The last case is m = 6/2=3, integer, so neither works.

So, it is the one with m=6/5 and sqrt(2)

3 0

4 years ago