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3 years ago

Which equation describes the line with slope 5 that contains the point ( -1, 4)?

Mathematics

1 answer:

Vikentia [17]3 years ago

5 0

Answer:

Step-by-step explanation:

y - 4 = 5(x + 1)

y - 4 = 5x + 5

y = 5x + 9

the answer is c

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Statistics show that about 42% of Americans voted in the previous national election. If three Americans are randomly selected, w

MrRa [10]

Answer:

19.51% probability that none of them voted in the last election

Step-by-step explanation:

For each American, there are only two possible outcomes. Either they voted in the previous national election, or they did not. The probability of an American voting in the previous election is independent of other Americans. So we use the binomial probability distribution 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.

42% of Americans voted in the previous national election.

This means that $p = 0.42$

Three Americans are randomly selected

This means that $n = 3$

What is the probability that none of them voted in the last election

This is P(X = 0).

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

$P(X = 0) = C_{3,0}.(0.42)^{0}.(0.58)^{3} = 0.1951$

19.51% probability that none of them voted in the last election

6 0

2 years ago

I need some help please

Veronika [31]

The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)

For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft

For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft

Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft

The appropriate answer choice is
316 ft.

8 0

3 years ago

8 cm<br> 10 cm<br> 3 cm<br> 12 cm<br> Work out the shaded area of the shape?

qwelly [4]

Answer:

36 sq. cm

Step-by-step explanation:

triangle area= 0.5 * 12* 10

rectangle are= 8* 3

60 - 24 = 36

6 0

2 years ago

7.05, 5.07,7.5,0.57 least to greatest

Rudiy27

0.57 , 5.07 , 7.05 , 7.5

7 0

3 years ago

Read 2 more answers

Heather has an online jewelry store . She charges $5.85 for shipping on all orders. The expression below can be used to calculat

ArbitrLikvidat [17]

Answer:23.41

Step-by-step explanation:

5 0

3 years ago