If ad = 16 and ac = 4y - 44, find the value of y then find ac and dc

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

Nancy created a graph to predict the pay she will take home after taxes are taken from her income. Using the information on the

deff fn [24]

The answer is c. 0.8

5 0

3 years ago

Read 2 more answers

(it wont ley me put 2 pictures so the question to this problem is) what is the longest name length? (i mark brainlist) :)

Irina-Kira [14]

9
Same thing applies to this answer as to the last answer I posted

7 0

3 years ago

A car was purchased for $20,000 new. Each year, you can expect the car to

alexandr1967 [171]

Answer:

It will be worth 16k in 10 years

Step-by-step explanation:

divide 20k by 100

1% = 200 dollars

200 x 8 gives you 1.6k

1.6k x 10 = 16k

3 0

3 years ago

Read 2 more answers

Which ordered pair is the solution to the system of equations?

tiny-mole [99]

Answer:

You can use Gaussian Elimination.

Double both sides of the first equation and add the second equation.

6x + 4y = 8

5x - 4y = 3

---------------

11x = 11

x = 1

5 - 4y = 3

-4y = -2

y = 1/2

Step-by-step explanation:

7 0

3 years ago

If ad = 16 and ac = 4y - 44, find the value of y then find ac and dc​

If ad = 16 and ac = 4y - 44, find the value of y then find ac and dc