Answer:

Step-by-step explanation:
Given : The probability that an adult was never in a museum is : p=0.10
The number of adults randomly surveyed: n = 60
In Binomial distribution , the formula to find the mean and the standard deviation is given by :-

Then , the mean and standard deviation of the number that were never in a museum will be :-

Answer:
See explanation
Step-by-step explanation:
The distibutive property states that for all real numbers a, b and c

Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is

Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are

These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.
s(t) = 65+24sin(0.3t)
where t is measured in hours since 5:00
a.m
3-hour period from 7:00 a.m. to 10:00 am
5 am to 7 am = 2 hours
5 am to 10 am = 5 hours
To find the number of tons we take integral of 2 to 5 of s(t)
∫ 2 to 5 s(t) = ∫ 2 to 5 (65+24sin(0.3t))
∫65+24sin(0.3t) dt = 65t - 80 cos(0.3t) + c
Now we plug in the bounds 2 and 5
∫ 2 to 5 (65+24sin(0.3t)) = 255.36787 = 255.268
255.268 tons of sand are added to the beach over the 3-hour period