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Travka [436]
2 years ago
8

Circle V is shown. Line segment T V is a radius with length 14 feet.

Mathematics
1 answer:
lawyer [7]2 years ago
5 0

We have been given graph of circle V with radius 14 feet. We are asked to find the area of the circle V.

We will use area of circle formula to solve our given problem.

A=\pi r^2, where r represents radius of circle.

Upon substituting r=\text{14 ft} in above formula, we will get:

A=\pi(14\text{ ft})^2

A=\pi(14)^2\text{ ft}^2

A=\pi\cdot 196\text{ ft}^2

A=196\pi\text{ ft}^2

Therefore, the area of the circle V is 196\pi square feet and option 'c' is the correct choice.

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Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete
icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

In this question:

Fleet of 17 means that N = 17

4 are carrying nucleas weapons, which means that k = 4

9 are destroyed, which means that n = 9

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

P(X > 1) = 1 - P(X \leq 1)

In which

P(X \leq 1) = P(X = 0) + P(X = 1)

So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294

P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118

Then

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412

P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0
2 years ago
How Can you represent writing a check for $10 as an integer?<br>A b c or d
Lynna [10]
The answer to represent a check for 10$ is A. -10
6 0
3 years ago
0.
Yakvenalex [24]

Answer:

D.648 inches​

Step-by-step explanation:

A yard is a unit that mostly used in America and Canadia to measure the length of something field-size, so it's used a lot in sport. One yard equal to three feet, while one foot equals to 12 inches. There is a higher unit than yard called miles which equals to 1760 yards or 1.60934 kilometers.

Since the measurement is 18 yards, the length in feet will be: 18 yards * 3 feet/yard= 54 feet.

The measurement in inch will be: 54 feet * 12 inches/feet = 648 inches.

8 0
3 years ago
Rewrite the following polynomial in standard form
blagie [28]

Answer:

-7x³ - ⅑x - 1

Step-by-step explanation:

A polynomial written in standard form would be written in such a way that the term with the highest degree comes first, followed by the second highest and so on, then what comes last is the constant.

Given the polynomial -7x³ - 1 - ⅑x, -7x³ with the highest degree comes first, followed by -⅑x, and then the constant, -1, comes last.

Thus, we would have:

✅-7x³ - ⅑x - 1

8 0
2 years ago
Can somebody help me please! And explain I appreciate it!!!
True [87]

Answer:

54 beads

Step-by-step explanation:

1 hexagon = 6

2 hexagons = 10

3 hexagons = 14

Based on the pattern shown above +4 you can create an equation from this to help support finding the amount.

y = 4x + 6

y - total amount

4x - amount that is added by

6 - initial amount for 1 hexagon

Based on this you plug in 12 into x and you will find the answer:

y = 4(12) + 6

= 48 + 6

= 54

If you need to check the work honestly drawing it out, but this equation can also be supported based on the 3rd diagram of hexagon, where the initial is 6 and then 4 are added each time afterwards!!!

5 0
2 years ago
Read 2 more answers
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