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Zarrin [17]
3 years ago
14

Marcus and Lily want to decorate their classrooms by putting a border across the top of two square walls. Marcus’s wall has an a

rea of 100 square feet, while Lily’s wall has an area of 121 square feet. What are the lengths of their borders? Marcus’s border is feet long. Lily’s border is feet long. HELP MEEE!!!

Mathematics
2 answers:
Romashka [77]3 years ago
7 0
The length should be 10 bc area
expeople1 [14]3 years ago
5 0
The length should be 10 bc area = length x with . and 10 times 10 is 100
You might be interested in
Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

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.

For sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

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

By the Central Limit Theorem

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

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

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

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0
3 years ago
I need loads of help!! If you know how to do this please help me!!!<br><br> It’s 6 and 7
dlinn [17]
6- comedy and action
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8 0
3 years ago
Write the phrase as an expression. 28 divided by 7
4vir4ik [10]
The answer would be 28/7

Hope this helps

Have a great day/night

Feel free to ask any questions
4 0
3 years ago
Kimtoya has 2/3 of a loaf of banana bread.she wants to cut it into slices that each represent 1/12 of the entire loaf. How many
padilas [110]

Answer:

12????????????

Step-by-step explanation:

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2 years ago
WHO EVER ANSWERS GETS BRAINLY
Yuliya22 [10]
2nd subtraction property.
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3 years ago
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