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PtichkaEL [24]
3 years ago
10

The scale of a map is 6 km = 4 mi. What is the length on the map if the actual is 40.1 miles.

Mathematics
1 answer:
beks73 [17]3 years ago
8 0

Answer:

60.15 km

Step-by-step explanation:

If 6 km on the map represents 4 mi on land, then we'd get the answer by using the relation

6 km -> 4 mi

x km -> 40.1 mi

Where x km is the length on the map we're looking for. If we cross multiply

6 * 40.1 = 4x

240.6 = 4x

x = 240.6/4

x = 60.15 km.

That is the length we're looking for

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In Noels survey, 3 more people said they enjoyed volleyball than said they like soccer, and 5 more people enjoyed basketball tha
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3 0
3 years ago
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose t
nalin [4]

Answer:

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

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.

20% of adults in the United States save nothing for retirement (CNBC website).

This means that p = 0.2

Suppose that sixteen adults in the United States are selected randomly.

This means that n = 16

What is the probability that three or less of the selected adults have saved nothing for retirement?

This is:

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

In which

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

P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281

P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126

P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111

P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981

0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement

4 0
3 years ago
I need help PLEASE!!!
Hitman42 [59]

Answer:

1. ∠A and ∠B are right angles.                      Given

2. m∠A = m∠ B                                               All right angles are congruent.

3. ∠BEC≅ ∠AED                                              Vertical angles are congruent

4. ΔCBE ~ ΔDAE                                               AA

Step-by-step explanation:

A proof always begins with the givens.

1. ∠A and ∠B are right angles. -------------->Given

2. m∠A = m∠ B  are equal since----------->  All right angles are congruent.

3. ∠BEC≅ ∠AED  are also equal since---->Vertical angles are congruent

4. ΔCBE ~ ΔDAE since two angles are equal----------> AA

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Answer:

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4 0
3 years ago
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