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shtirl [24]
2 years ago
11

A dog is leashed to a point in the center of a large yard. If the leash is 18.8 feet long, what is the total area of the region

the dog is able to explore? Round to the nearest tenth.
Worth 25 points!! pls hurry I have a test
Mathematics
1 answer:
Orlov [11]2 years ago
5 0

Answer:

<u>1109.8 square feet</u>

Step-by-step explanation:

In this case, assume the leash to be the radius of the circular yard.

<u>Area</u>

  • πr²
  • 3.14 x (18.8)²
  • 3.14 x 353.44
  • <u>1109.8 square feet</u>
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vovikov84 [41]

Answer:

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

Step-by-step explanation:

For each 3-pointer shot, there are only two possible outcomes. Either the player makes it, or the player does not. The same is valid for free throws. This means that both the number of 3-pointers and free throws made are given by binomial distributions.

Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Probability of making 3 3-pointers out of 10:

The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that p = 0.4. So this is P(X = 3) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.21499

Probability of making 5 free throws out of 10:

The probability of hitting a free-throw is 0.65, which means that p = 0.65. The probability is P(X = 5) when n = 10.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{10,5}.(0.65)^{5}.(0.35)^{5} = 0.15357

Calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.

0.21499*0.15537 = 0.0334

0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.

5 0
3 years ago
What is 9 3/4 as a percentage
Genrish500 [490]

First, turn the fraction into a decimal.

9.75

Second, multiply by 100%.

9.75 * 100% = 975%

Best of Luck!

5 0
3 years ago
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Yakvenalex [24]

Answer:

A. 14,000

Step-by-step explanation:

because 673 rounded would equal 700

and 18 rounded would be 20

so 700x20 would be 14,000

hopefully you understand

and i hope you have a good day :)

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