ALGEBRA II HELP :/

A data set with a mean of 34 and a standard deviation of 2.5 is normally distributed

tresset_1 [31]

Answer:

a) $z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

b) $P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

c) $z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

Step-by-step explanation:

For this case we have a random variable with the following parameters:

$X \sim N(\mu = 34, \sigma=2.5)$

From the empirical rule we know that within one deviation from the mean we have 68% of the values, within two deviations we have 95% and within 3 deviations we have 99.7% of the data.

We want to find the following probability:

$P(34 < X$

We can find the number of deviation from the mean with the z score formula:

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

And replacing we got

$z= \frac{34-34}{2.5}= 0$

$z= \frac{39-34}{2.5}= 2$

And we want the probability from 0 to two deviations above the mean and we got 95/2 = 47.5 %

For the second case:

$P(X$

$z= \frac{31.5-34}{2.5}= -1$

So one deviation below the mean we have: (100-68)/2 = 16%

For the third case:

$P(29 < X$

And replacing we got:

$z= \frac{29-34}{2.5}= -2$

$z= \frac{36.5-34}{2.5}= 1$

For this case below 2 deviation from the mean we have 2.5% and above 1 deviation from the mean we got 16% and then the percentage between -2 and 1 deviation above the mean we got: (100-16-2.5)% = 81.5%

7 0

3 years ago

Write in simplest form 1/3 times 1 1/3

IRINA_888 [86]

Answer:

3 2/3

Step-by-step explanation:

Use a calculator please

8 0

3 years ago

The water tank in your school holds 20 liters of water. One day it was 34 full. That day, 14 liters of tank capacity was used up

Alex787 [66]

Answer:

20

Step-by-step explanation:

The water tank in the school hold 20 liters of water

One day it was 34 liters full

14 liters of water was used up

Therefore the quantity of water left can be calculated as follows

= 34-14

= 20

Hence 20 liters of water remains in the tank

6 0

3 years ago

12 Times 12 = 144 right?

REY [17]

Answer:

yes it is u are correct

Step-by-step explanation: plz mark brainliest

5 0

3 years ago

a sporting good store received an order of 90 baseball caps, of which 18 were green. if 1 of the 90 caps is selected at random,

makvit [3.9K]

<span>Visualize that out of the 90 caps, how many were green? 18 were green. So how many were not green? 90 caps - 18 caps = 72 caps. That means 72 caps were not green in that sporting good order. Therefore, the probability of one cap selected at random from the total 90 caps will not be green will be 72/90 which is roughly 0.8 or 80 percent. </span>

4 0

3 years ago