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zavuch27 [327]
3 years ago
9

An electrician bent a section of copper wire into a partial circle as shown. The dimensions are

Mathematics
1 answer:
ira [324]3 years ago
7 0

Answer:

Length = 3.84 feets (nearest hundredth)

Step-by-step explanation:

The length of section of wire can be obtyaiejd using the length of of a arc formular :

Length of arc = θ/360° * 2πr

Radius, r = 2.5 feets

Length of arc = (88/360) *2πr

Length of arc = (88/360) * 2π*2.5

Length of arc = 0.244444 * 15.707963

Length of arc = 3.8397

Length = 3.84 feets (nearest hundredth)

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
According to exit polling from the 2014 U.S. midterm elections, 36% of voters had a household income less than $50,000, while 64
Veseljchak [2.6K]

Answer:

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Republican

Event B: From a household that makes at least $50,000.

Probability of Republican:

43% of 36%(makes less than $50,000).

55% of 64%(makes more than $50,000).

So

P(A) = 0.43*0.36 + 0.55*0.64 = 0.5068

Republican and from a household that makes at least $50,000.

55% of 64%. So

P(A \cap B) = 0.55*0.64 = 0.352

What is the probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.352}{0.5068} = 0.6946

0.6946 = 69.46% probability that a randomly selected Republican voter from the exit poll is from a household that makes at least $50,000.

4 0
4 years ago
Item 18 You and your friend gather 56 apples. You gather 29 apples. Let a be the number of apples your friend gathers. Write an
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Answer:

56=29+a

Step-by-step explanation:

So 2 people gathered apples. That means there will be 3 numbers in the equation you are trying to make.

One number will be the amount of apples you gathered.

(as said, 29)

One number will be the amount of apples your friend gathered.

(you do not know this, so it will be a variable)

The last number will be the amount of apples you AND your friend gathered.

(as said, 56)

Since 56 is the amount of apples you and your friend gathered, its is equal to both other numbers combined.

to say that 56 is equal to both your apples and your friend's apples, you would say:

56 = 29 + a

(a is the variable)

To use this equation to find a, you would subtract 29 from both sides. It should look like:

27 = a

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4 years ago
What is the constant rate of change shown in the graph?
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Answer:

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