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Zarrin [17]
3 years ago
12

I need help with the photo below.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
3 0
Here, 30/360 * 2πr = 10
1/12 * 2 * 3.14 * r = 10
r = 10*12 / 6.28
r = 19.11

Now, Area = 1/12 * 3.14 * (19.11)²
= 3.14/12 * 365.16
= 95.5 Ft²

In short, Your Answer would be Option C

Hope this helps!

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The ratio of the ages of father and son is 9:2.If the father is 45 ages old,find the ages of son. ​
Trava [24]
<h3>Answer:  10 years old</h3>

Work Shown:

s = son's age

(father's age)/(son's age) = 9/2

45/s = 9/2

45*2 = s*9

90 = 9s

9s = 90

s = 90/9

s = 10

The son is 10 years old.

8 0
3 years ago
Write a equation in point-slope for (3,1), m=0
cluponka [151]
The point-slope form for (3,1) is y-1=0(x-3).
7 0
4 years ago
the name Joe is very common at a school in one out of every ten students go by the name. If there are 15 students in one class,
kumpel [21]

Using the binomial distribution, it is found that there is a 0.7941 = 79.41% probability that at least one of them is named Joe.

For each student, there are only two possible outcomes, either they are named Joe, or they are not. The probability of a student being named Joe is independent of any other student, hence, the <em>binomial distribution</em> is used to solve this question.

<h3>Binomial probability distribution </h3>

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • One in ten students are named Joe, hence p = \frac{1}{10} = 0.1.
  • There are 15 students in the class, hence n = 15.

The probability that at least one of them is named Joe is:

P(X \geq 1) = 1 - P(X = 0)

In which:

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

P(X = 0) = C_{15,0}.(0.1)^{0}.(0.9)^{15} = 0.2059

Then:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2059 = 0.7941

0.7941 = 79.41% probability that at least one of them is named Joe.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

8 0
3 years ago
The expression 3(x-9) is equivalent to (Look at picture for answer choices)
Vaselesa [24]

Answer:

The last one

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Find the measure of angle A.
34kurt

Answer:

112.6°

Step-by-step explanation:

Using cosine law:

20² = 11² + 13² - 2(11)(13)cos(A)

110 = -286cos(A)

cos(A) = -5/13

A = 112.6198649

5 0
3 years ago
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