Answer:
Step-by-step explanation:
Use the formula to find the z-score, then go to the table that will give you the probability that the value is less than this z-score.

The probability that the value lies to the left of 1 on a standard bell curve is 84.1345%, or 84%, the third choice down.
Answer:
70 questions
Step-by-step explanation:
You can make a proportion.

Multiply across:
7x=490
Divide by 7:
x=70
<u>Final answer</u>
70 questions
The value of d in the equation is d= 4m-w
<h3>How to calculate the value of d ? </h3>
The first step is to write out the equation given
m=1/4(w+d)
The value of d can be calculated as follows
m= w + d/4
Cross multiply both sides
4m= w + d
collect the like terms
4m -w= d
d= 4m-w
Hence the value of d in the equation is 4m-w
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Answer: (30.49 years, 42.31 years)
Step-by-step explanation:
The formula to find the confidence interval is given by :-

, where
= Sample mean
z* = Critical value.
= Population standard deviation.
n= Sample size.
As per given , we have
n= 40
We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)
A 99 percent confidence interval for µ, the true mean age of guests will be :

∴ a 99 percent confidence interval for µ, the true mean age of guests = (30.49 years, 42.31 years)