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Lelechka [254]
3 years ago
5

Mrs. Deaton’s 6th grade class is creating a mural for the school entryway. Each student is creating a square with a side length

of 10 inches that will be joined together to form this mural. The mural itself will be in the shape of a square with five of the student’s squares along each side. What is the total area of the mural in inches?
Mathematics
1 answer:
LiRa [457]3 years ago
7 0

Answer:

The total area of the mural is 2,500 square inches

Step-by-step explanation:

we know that

The mural is in the shape of a square

The length side of the square mural is equal to the length of five student’s squares

The length side of each student's square is 10 inches

so

The length side of the square mural is 10(5)=50 inches

Remember that

The area of a square is given by the formula

A=b^2

where

b is the length side of the square

we have

b=50\ in

substitute

A=(50)^2=2,500\ in^2

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3 years ago
Simplify this problem::<br> -6x + 3 3/4 + 14x - 3.25
Lynna [10]

Answer:

8x + 1/2 or 8x + 0.5

Step-by-step explanation:

-6x + 3 3/4 + 14x - 3.25

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6 0
3 years ago
When we say "split the cost evenly", what are you actually doing?
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5 0
3 years ago
The numerical value of the variance a. is negative if the mean is negative. b. is always larger than the numerical value of the
Snowcat [4.5K]

Answer:

Step-by-step explanation:

Variance is the sum of squares of all items x from mean.  i.e

Variance = \Sigma (x-xbar)^2

Being the sum of squares variance can never be negative irrespective of mean being negative.

Std deviation is the square root of variances.  This will thus be less than variance if variance >1 other wise std deviation will be bigger than variance.

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8 0
3 years ago
A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only
Nadusha1986 [10]

Answer:

The sample size required is, <em>n</em> = 502.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population proportion is:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}

The margin of error is:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of <em>z</em> for 97.5% confidence level is:

<em>z</em> = 2.24

Compute the sample size as follows:

MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}

       n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}

           =[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502

Thus, the sample size required is, <em>n</em> = 502.

4 0
3 years ago
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