Answer: a) 0.6141
b) 0.9772
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
The formula for z -score :

a) Sample size = 1
For x= 63 in. ,

The p-value = 

Thus, the probability is approximately = 0.6141
b) Sample size = 47
For x= 63 ,

The p-value = 

Thus , the probability that they have a mean height less than 63 in =0.9772.
Answer: C) x = 2
2^{2x + 2} = 2^{3x}
Since both terms (above) have the same base, set the exponents to be equal:
2x + 2 = 3x (Rearrange to solve for x)
x = 2
∴ x = 2
Answer:
Step-by-step explanation:
<u>For every time you have a probability of getting 1 is:</u>
<u>For all 6, the probability of outcome of 1 is:</u>
- P(1x6) = (1/10)⁶ = 0.000001
Look at 36/3 = 12.
So let's try 12 along with the one before it and the one after it.
10 + 12 + 14 = 36
yay !