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3 years ago

Parallel lines always,sometimes,or never intersect?

Mathematics

2 answers:

STatiana [176]3 years ago

8 0

They never intersect

yan [13]3 years ago

4 0

They will never intersect.

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Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will

Feliz [49]

Answer:

$W \le 6$

Step-by-step explanation:

Given

$Area = 60ft^2\ (max)$

$Length = 10ft$

Required

Represent the width as an inequality

First, we represent the area as an inequality.

$Area = 60ft^2\ (max)$

max as used above means less than or equal to.

So, we have:

$Area \le 60$

The area of a rectangle is:

$Area = L * W$

So, we have:

$L * W \le 60$

Substitute 10 for L

$10 * W \le 60$

Divide both sides by 10

$\frac{10 * W}{10} \le \frac{60}{10}$

$W \le \frac{60}{10}$

$W \le 6$

7 0

3 years ago

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time. The bank ha

love history [14]

Answer:

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will make payments on time, or they won't. The probability of a person making the payment on time is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The sampling distribution can be approximated to a normal model if:

$np \geq 10$ and $n(1-p) \geq 10$

Based on past experience, a bank believes that 8.9 % of the people who receive loans will not make payments on time.

This means that $p = 0.089$

The bank has recently approved 220 loans.

This means that $n = 220$

What must be true to be able to approximate the sampling distribution with a normal model?

$np = 220*0.089 = 19.58 \geq 10$

$n(1-p) = 220*0.911 = 200.42 \geq 10$

To be able to approximate the sampling distribution with a normal model, it is needed that $np \geq 10$ and $n(1-p) \geq 10$ , and both conditions are satisfied in this problem.

3 0

3 years ago

Steve picks 55 pounds of pears. He packs an equal amount of pears into 6 bags. He then has 4 pounds of pears left. What is the w

Serggg [28]

Because he has 4 pounds of apples left, you are to subtract that from the total pounds picked, which was a total of 55 pounds. So 55 with 4 taken away, or 55 - 4, equals 51. Since he had equally put 51 pounds into six bags, you are to then divide . 51 / 6 = 8.5. He had put 8.5 pounds worth of apples into each bag.

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3 years ago

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Question 7 <br> Show the work please

Katena32 [7]

To acquire a given product. Insofar as the amount people are prepared to pay for a product represents its value, price is also a measure of value.

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2 years ago

Read 2 more answers

Find the perimeter of the polygon. Round your answer to the nearest tenth.

mash [69]

Answer: