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Tcecarenko [31]
3 years ago
7

Beatrice has a rectangular swimming pool in her backyard. The dimensions are 16 feet by 8 feet. She decides to build a deck of u

niform
width around the pool. Together the pool and the deck will have an area of 384 square feet.

a) write the expression to represent the length and the width of the swimming pool with the deck around it

b) find x, the width of the deck

Mathematics
1 answer:
xeze [42]3 years ago
5 0
Super happy with. Long long long
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A hotel claims that 8585​% of its customers are very satisfied with its service. complete parts a through d below based on a ran
jek_recluse [69]
We can solve this problem using the binomial distribution. A binomial distribution<span> can be thought of as a success or failure outcome in an experiment or survey that is repeated multiple times. 
</span>Probability function of binomial distribution has the following form:
P= \frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}
p represents the probability of each choice we want. k is the number of choices we want and n is the total number of choices.
In our case p=0.85, k=5 and n=6. 
We can now calculate the answer:
P= \frac{6!}{5!(6-5)!} 0.85^5(1-0.85)^{6-5}=0.39
The probability is 39%.
.
7 0
4 years ago
Jenny is displaying her photographs
Inga [223]

Answer:

A) 9 photos in each row

B) 14 rows in total

Step-by-step explanation:

Photos of People = 45

Photos of Landscapes = 18

Photos of Pets = 63

Jenny wants to arrange these photos in rows with only one kind of photos in each row and same number of photos in each row. We have to find the greatest possible number of photos in each row. For this we need to find the greatest common factor of 45,18 and 63. This would give us the greatest possible number of photos that can be placed in each row.

By observing the 3 numbers, we can tell that the greatest common factor of these 3 numbers is 9. So, Jenny can place 9 photos in each row.

So,

There will be:

45/9 = 5 rows with photos of people

18/9 = 2 rows of photos of landscapes

63/9 = 7 rows of photos of pets

So, total number of rows would be = 5 + 2 + 7 = 14 rows

3 0
3 years ago
9. Given f(x) = 7x2 and g(x) = x +1,<br> find f(g(x)). SHOW ALL WORK.
Nezavi [6.7K]

I hope this helps you

f(g(x)) =f(x+1)=7(x+1)^2

f(x+1)=7.(x^2+2x+1)

f(x+1)=7x^2+14x+7

8 0
3 years ago
Read 2 more answers
There were 90 runners just start a race in the first half of the race 1/3 of them dropped out in the second half of the race 1/5
Eva8 [605]

Answer:

6 runners finished the race

Step-by-step explanation:

it starts with 90 runners. then 1/3 of them dropped out in the second half of the race, that means you do 90 divided by 3

90 ÷ 3 = 30

Then, 1/5 of the runners remained.

That means you do 30 divided by 5

30÷ 5= 6

so the answer is 6 remaining runners finished the race.

8 0
3 years ago
Use the drop-down menus to identify the GCF of each pair of numbers.
horrorfan [7]

Answer:

4, 15, 6, 18.

Step-by-step explanation:

  1. 12 = 1, 2, 3, 4, 6, 12 16 = 1, 2, 4, 8, 16 The GCF of 12 and 16 is 4 because when you compare the numbers that go into 12 and 16, 4 is the highest number that they both are multiples of.

Try the others by yourself and if you have any questions ask me in the comments

4 0
3 years ago
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