Answer:
The standard deviation for the distribution of scores is 6.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 78
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- Almost all the data lies within three standard deviation from mean for a normal data.
- for this rule almost all the data lies within on tandard deviation from the mean.
68% of the scores fall between 72 and 84, thus, we can write:

Thus, the standard deviation for the distribution of scores is 6.
A.The sum of two products; there are two terms
Answer:
The correct way to complete the sentences is as follows:
As Jimmy sells more hot dogs, his profit will increase.
Jimmy sells the hot dogs for $1 each.
Jimmy needs to sell 8 hot dogs to recover the money he invested.
If Jimmy sells 15 hot dogs, he will make $7 in profit.
To make $12 in profit, Jimmy would have to sell 20 hot dogs.
Answer:
It will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck
Step-by-step explanation:
Diameter of swimming pool = 27 feet
Radius of pool r=
Surrounding the pool is a deck that extends 5 feet from the edges of the pool
Outer radius R = 13.5+5=18.5
Area of deck = Outer area - Inner area
Area of deck =
Area of deck = 
Area of deck = 
Cost of painting 1 sq.feet = $0.85
Cost of painting 502.4 sq.feet = 
Perimeter of deck = 
Cost of fencing 1 foot = $8.25
Cost of fencing 116.18 foot = 
Hence it will cost $427.04 to paint deck and it will cost 958.485 to add fencing around deck
The future value of cash whose initial value is $845, at the rate of 11.3% for 7 years will be calculated using the compound interest rate, that is:
A=p(1+r/100)^n
where:
A=future amount
r=rate=11.3%=0.113
time=7 years
thus the future value of our cash will be:
A=845(1+0.113)^7
A=845(1.113)^7
A=$1,787.82