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ANEK [815]
3 years ago
14

You have exatly 200 feet of fencing to enclose 2 adjacent square regions. assuming you use all the fencing provided what will th

e total area of the enclosures be?
Mathematics
1 answer:
bekas [8.4K]3 years ago
7 0
Adjacent so that means 1 wall will be shared

each square has 4 sides,
but they share a side so 4+4-1=7 sides total

200 divided by 7 sides=200/7 ft per side

the area of a square is side^2
side=200/7
so area=(200/7)^2=40000/49
that's for 1 square
times 2
80000/49 square feet
about 1632.6530612244897959183673469388 square feet
rounded is 1633 square feet

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Use elimination to solve this system of equations <br> x-4y=11<br> 5x-7y=-10
attashe74 [19]
First, isolate x in x-4y=11 because 1 is x's coefficient.
x-4y=11
x=11+4y
Now, substitute 4y+11 for x in 5x-7y=-10.
5x-7y=-10
5(4y+11)-7y=-10
20y+55-7y=-10
Add all coefficients.
13y+55=-10
Isolate y by subtracting 55 from both sides.
13y+55=-10
13y=-10-55
13y=-65
y=-5
Now substitute -5 for y in your first equation.
x=11+4y
x=11+4(-5)
x=11-20
x=-9
Your answer would be (-9,-5).
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8 0
3 years ago
RADIATION ON MARS
Darina [25.2K]

Answer:

0.71% probability that the daily average amount of radiation received by a rover will exceed 102

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 100, \sigma = 20, n = 600, s = \frac{20}{\sqrt{600}} = 0.8165

What is the probability that the daily average amount of radiation received by a rover will exceed 102?

This is 1 subtracted by the pvalue of Z when X = 102. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{102 - 100}{0.8165}

Z = 2.45

Z = 2.45 has a pvalue of 0.9929

1 - 0.9929 = 0.0071

0.71% probability that the daily average amount of radiation received by a rover will exceed 102

5 0
3 years ago
Factors of 12 simplify 3/4-1/3+1/2​
Ymorist [56]

Answer: 11/12

Step-by-step explanation: hope this helps!

7 0
3 years ago
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a telephone technician charges $30 per hour plus a $45 service charge your father's firm hires him to hook up his company's phon
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y=mx+b

y=30h + 45

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A camp leader figures that she needs one tent for every three campers, plus a tent for herself. Define a variable and write an e
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3t+1
The t stands for tent, and is being multiplied by 3 because there is always going to be 1 tent for every 3 campers. Plus one, for the camp leader. 

6 0
3 years ago
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