Answer:
22
Step-by-step explanation:
Normal Distributions are the most important in statistics. They are also know as "bell curves".
There are special properties of Normal Distributions. I name 3 of them below:
1. Normal distributions are symmetric about their mean.
2. The area under the normal curve is 1
3. The mean, mode, and median of normal distribution are equal
This question can easily be solved using property #3 in the stated above properties.
The mean and median of normal distribution are equal. Since mean is given as 22, the median will also be 22.
Given

consider substituting
to get a proper quadratic equation,

Solve for
; we can factorize to get



Solve for
:

The first equation has no real solution, since
for all non-zero
. Proceeding with the second equation, we get

If we want to find all complex solutions, we take
so that the first equation above would have led us to

Answer:
The height from the top of the flag pole to the top of the shadow = 47 feet.
Step-by-step explanation:
Given:
Height of the flag pole = 25 ft
Length of the shadow cast by the flag pole = 40 ft
To find the approximate height from the top of the flag pole to the top of the shadow.
Solution:
On drawing the flagpole and the shadow, we get a right triangle of which the legs are given.


We need to find the hypotenuse of the right triangle.
Applying Pythagorean theorem.




Taking square root both sides :


Thus, the height from the top of the flag pole to the top of the shadow = 47 feet.
Answer:0.1446
Step-by-step explanation:
Let p be the population proportion of adults say that cloning of humans should be allowed.
As per given , the appropriate set of hypothesis would be :-

Since
is left-tailed and sample size is large(n=1012) , so we perform left-tailed z-test.
Given : The test statistic for this test is -1.06.
P-value for left tailed test,
P(z<-1.06)=1-P(z<1.06) [∵P(Z<-z)=1-P(Z<z]
=
(Using z-value table.)
Hence, the p-value for this test statistic= 0.1446
Answer:
x=435 ,y=145
Step-by-step explanation:
You substitute x for 3y in this equation and get
3y+y=580
from here you simplify
4y=580
and divide 580 by 4 to get what y is
y=580/4
y=145
now since x=3y you mutiply y by 3
x=3(y)
x=3(145)
x=435