Answer:
i) P(X<33) = 0.9232
ii) P(X>26) = 0.001
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 30
Given that the standard deviation of the Population = 4
Let 'X' be the Normal distribution
<u>Step(ii):-</u>
i)
Given that the random variable X = 33
![Z = \frac{x-mean}{S.D}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7Bx-mean%7D%7BS.D%7D)
>0
P(X<33) = P( Z<1.5)
= 1- P(Z>1.5)
= 1 - ( 0.5 - A(1.5))
= 0.5 + 0.4232
P(X<33) = 0.9232
<u>Step(iii) :-</u>
Given that the random variable X = 26
![Z = \frac{x-mean}{S.D}](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7Bx-mean%7D%7BS.D%7D)
>0
P(X>26) = P( Z>3.5)
= 0.5 - A(3.5)
= 0.5 - 0.4990
= 0.001
P(X>26) = 0.001
One-half of a number plus six will equal 20.
Solving:
1/2x + 6 = 20
-6 -6
1/2x = 14
*2/1 *2/1
x = 28 <--Answer to problem
Answer:
D' (1, 3)
Step-by-step explanation:
When reflected across the y = x line, the "x" and "y" coordinates switch.
If D is (3, 1), then:
x = 3
y = 1
Switch the "x" and "y" values, and rewrite as (x, y).
x = 1
y = 3
D' (1, 3)
Answer:
At its top floor, the Empire State Building stands <u>1,250 feet (380 meters)</u> tall. Counting the spire and antenna, the building clocks in at a mighty 1,454 feet (443 meters).
0.0483 multiplied by 100 equals 4.83