Answer: 0.7619
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
We assume that the variable is normally distributed.
The value of z-score is given by :-

a) For x= 46.9 years

The p-value : 
Hence, the probability that the average age of those doctors is less than 46.9 years =0.7619
Given that Jessica attends summer camp at a distance of four hundred twenty-three and four tenth mile = 
And a detour adds 10 miles to the distance.
That means we need to add 10 miles to the given distance.
So new distance = 423.4 + 10 = 433.4 miles
Hence Jessica needs to travel 433.4 miles for summer camp.
Answer: 29
Any number between 28.83 and 29.18 would work
Answer:
P = 0.0215 = 2.15%
Step-by-step explanation:
First we need to convert the values of 900 and 975 to standard scores using the equation:

Where z is the standard value, x is the original value,
is the mean and
is the standard deviation. So we have that:
standard value of 900: 
standard value of 975: 
Now, we just need to look at the standard distribution table (z-table) for the values of z = 2 and z = 3:
z = 2 -> p_2 = 0.9772
z = 3 -> p_3 = 0.9987
We want the interval between 900 and 975 hours, so we need the interval between z = 2 and z = 3, so we just need to subtract their p-values:
P = p_3 - p_2 = 0.9987 - 0.9772 = 0.0215
So the probability is 0.0215 = 2.15%
She can make 72
Find the area of the fabric 12x6=72
Area of napkins 1x1 =1
divide fabric by napkins
72/1=72 napkins can be made