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:
D. Angle P, Angle OPQ, Angle QPO
Step-by-step explanation:
The angle is at P so P must be either between the two other letters or be by itself so D is the correct answer.
Answer:
13A. 14, 48, 50
13B. both mulitpled by 2?
13C. 56, 125
14. Yes
Step-by-step explanation:
Answer:
1.66
Step-by-step explanation:
Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size
Using this formula
Standard deviation(X)=√np(1−p)
Where,
n represent the number of students=16
p represent the percentage of all students who work full time=22
Let plug in the formula
Standard deviation(X)=√16(0.22)(1−0.22)
Standard deviation(X)=√(3.52)(0.78)
Standard deviation(X)=√2.7456
Standard deviation(X)=1.656
Standard deviation(X)=1.66 (Approximately)
Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66
Answer:
Step 1, all the exponents are increased by 4
Step-by-step explanation:
The first incorrect step occurred in Step 1, where all the exponents were increased by 4.
This is mathematically incorrect due to exponential rules. When distributing exponents inside parentheses, we have to multiply the existing exponents inside the parentheses by the exponent outside the parentheses.
For example, (x²)³ is not x²⁺³, but rather, x⁽²⁾⁽³⁾.
We multiply the exponents instead of adding them together.
Therefore, the correct Step 1 should multiply all the variables' exponents by 4.
Steps 2 and 3 are correct since we do add the exponents when multiplying exponents with the same base, and we do subtract exponents with the same base when dividing.
