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4 years ago

13. Majesta is building a rectangular sandbox for her younger sister. The length of the sandbox is 2 feet shorter than

Mathematics

1 answer:

matrenka [14]4 years ago

6 0

Answer:

Width = 5.5 feet

Length = 14.5 feet

Step-by-step explanation:

let the width = x feet

Length = 3x - 2 feet

Perimeter = 40 feet

2 * width + 2 * length = 40

2x + 2*(3x-2) = 40

2x + 6x - 4 = 40

8x = 40 + 4 = 44

x = 44/8 = 5.5

Width = 5.5 feet

Length = 3 * 5.5 -2 = 16.5 - 2 = 14.5 feet

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Please help! Thanks thO!

Snezhnost [94]

Answer:

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle

7x - 4 + 9x + 4 = 128° add like terms

16x = 128 divide both sides by 16

x = 8

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4 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!!

zepelin [54]

Answer: Choice B) Investment decreases by 3% each month

=====================================================

Explanation:

We won't use the value 2500 at all.

The base of the exponential is 0.97

Set this equal to 1+r and solve for r

1+r = 0.97

r = 0.97-1

r = -0.03

The negative r value indicates we have exponential decay, so the value of the investment decreases by 3% each month.

Let's say you had $100 to start off. This would mean the investment would be worth $97 after one month is up.

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3 years ago

The Environmental Protection Agency (EPA) has contracted with your company for equipment to monitor water quality for several la

max2010maxim [7]

Answer:

36.58% probability that one of the devices fail

Step-by-step explanation:

For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. 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.

A total of 15 devices will be used.

This means that $n = 15$

Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.

This means that $p = 0.05$

What is the probability that one of the devices fail?

This is $P(X = 1)$

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

$P(X = 1) = C_{15,1}.(0.05)^{1}.(0.95)^{14} = 0.3658$

36.58% probability that one of the devices fail

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3 years ago

20 POINTS!<br> Please help! <br> Algebra 2<br> (There is more than one answer)

Elis [28]

It looks like it's just the second one, but idk. They all seem too specific for a random card guess besides #2.

4 0

3 years ago

A train is going 304 miles in 4 hours. If it continues to travel at the same rate, how many miles would it travel in 7 1/2 hours

vlabodo [156]

We will use the Unitary method to solve this question

304/4=76

Therefore The train travels 76 miles per hour

76*7.5=570

Therefore the train travels 570 miles in 7.5 hours

5 0

3 years ago

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