Answer:

Step-by-step explanation:
The missing parameters are:
--- Cost of marble countertops
--- Cost of retail markup
Required
The cost of marked up price
This implies that we calculate m(c(a))
We have:

can be written as:

Substitute:


Hence, the cost of marked up price is: 
Answer:
The correct option is B
Step-by-step explanation:
From the question we are told that
The sample size is 
The proportion that choose to vaccinate the teen boys is 
considering the first statement
The 95% confidence interval is 12% ± the margin of error*standard deviation is false because
The 95% confidence interval is is %12 ± the margin of error
considering the second statement
The confidence interval should not be calculated due to the small sample size is true because from the central limit theorem
np = 64 * 0.12 = 7.68
and this value is less than 10 hence the confidence interval should not be calculated
considering the third statement
A 99% confidence interval will be smaller than the 90% confidence interval is false
This is because as the confidence level increase (for example from 90% to 99%) the margin of error increase which increases the confidence interval
An arc of length 30 m : l = 30 m.
r = 15 m, ∠ A = ?
Formula for the length of an arc is:
l = r π A / 180° ( where A is the central angle )
A = l · 180 / r π = ( 30 · 180 ) / ( 15 · 3.1415926 ) = 114.43 °
This is very close to your result.
<h3>given:</h3>
radius= 8 m
<h3>to find:</h3>
the volume of the sphere
<h3>solution:</h3>




<u>therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>sphere</u><u> </u><u>is</u><u> </u><u>2144.7</u><u> </u><u>cubic</u><u> </u><u>meters</u><u>.</u>
Answer:
The greatest possible value of 3x - 2y is 20
Step-by-step explanation:
3x - 2y ------- 1
For getting the greatest possible value we must get the greatest value available, which is 10 and put it in place of x .
As 2y is being subtracted in the eq 1, we must put the smallest value available in the eq 1 to get the greatest possible result.
put x = 10 and y = 5 in eq 1
3(10) - 2(5)
= 30 - 10
= 20
Smallest possible value from the eqaution will be obtained by putting y = 10 and x = 5
3 (5) - 2 (10)
= 15 - 20
= -5