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spayn [35]
3 years ago
7

Homework (5)

Mathematics
1 answer:
adelina 88 [10]3 years ago
7 0

Answer:

28

Step-by-step explanation:

Let's set the ratio as

7x : 9x

If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)

So, we can write this equation.

7x + 9x = 48

Simplify.

16x = 48

Divide both sides by 16.

x = 4

Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x

7 * x = 7 * 4 = 28

The number of states that border an ocean is 28.

I hope this helps! Feel free to ask any questions!

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A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. what is the approximate area
aniked [119]

The area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

<h3>What is the area of a heptagon?</h3>

Heptagon is the closed shape polygon which has 7 sides and 7 interior angles.

The area of the regular heptagon is found out using the following formula.

A=\dfrac{7a}{4}\cot \left(\dfrac{180}{7}\right)

Here, (<em>a</em>) is the length of the heptagon.

A regular heptagon has a radius of approximately 27.87 cm and the length of each side is 24.18 cm. Put the value of side in the above formula,

A=\dfrac{7\times24.18}{4}\cot \left(\dfrac{180}{7}\right)\\A\approx 2125\rm\; cm^2

Hence, the area of the regular heptagon which has a radius of approximately 27.87 cm and the length of each side is 24.18 cm is 2125 cm².

Learn more about the area of a heptagon here;

brainly.com/question/26271153

3 0
2 years ago
Follow up question how do you do it when it's e^4?
lesya [120]
Ln 54.598... = 4 because ln = log e
5 0
2 years ago
A baseball weighs 5 ounces. How much do 6 baseballs weigh?
antoniya [11.8K]
This is a question that involves multiplication. If 1 baseball weighs 5 ounces, and you're trying to find out how many 6 weigh, multiply 5x6. The answer is 30. Hope this helps.
7 0
3 years ago
Read 2 more answers
Evaluate the following expression when x = 31 and y = 28.<br> 3(x-7)3 + 128 - 35
ki77a [65]
I hope this is correct

4 0
3 years ago
1. A gambler makes 100 column bets at roulette. The chance of winning on any one play is 12/38. The gambler can either win $ 5 o
lapo4ka [179]

Answer:

a) Expected amount of the gambler's win = $0.209

b) SD = 2.26

c)P (X >1) = P(z >0.35) = 0.36317

Step-by-step explanation:

The probability of winning, p = 12/38 =6/19

Probability of losing, q = 1 -p = 1-6/19

q = 13/19

Win amount = $5

Loss amount = $2

a) Expected total amount of win = ((6/19)*5) - ((13/19)*2)

Expected total amount of win = 1.579 - 1.369

Expected amount of win, E(X) = $0.209

b) Standard Deviation for the total amount of the gambler's win

SD = \sqrt{E(X^{2}) - (E(X))^{2} }

E(X²) = (6/19)*5²  -  (13/19)*2²

E(X²) = 5.158

SD = \sqrt{5.158 - 0.209^2}

SD = 2.26

c)  probability that, in total, the gambler wins at least $1.

P(X >1)

z = \frac{X - \mu}{\sigma}

μ = E(x) = 0.209

z = (1-0.209)/2.26

z = 0.35

P( X >1) = P(z >0.35)

P(z >0.35) = 1 - P(z <0.35)

P(z >0.35) = 1 - 0.63683

P(z >0.35) = 0.36317

5 0
3 years ago
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