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AveGali [126]
3 years ago
10

Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but

it is not possible to draw more than two rectangles with an area of 15 square units. The lengths of the sides of the rectangle are whole numbers. 100 has factor pairs, so that many different rectangles can be drawn. 15 only has factor pairs, so only that many different rectangles can be drawn.
Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0

Answer:

100 has <u>5</u> factor pairs, so that many different rectangles can be drawn. 15 only has <u>2</u> factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

  1. 100 x 1 = 100
  2. 50 x 2 = 100
  3. 25 x 4 = 100
  4. 20 x 5 = 100
  5. 10 x 10 = 100

while there are only 2 pairs of whole numbers that multiplied together will be 15:

  1. 15 x 1 = 15
  2. 3 x 5 = 15

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Put this into an equation. Make the missing value "x".
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49 + 5 = 54
54 / 6 =  9 
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The missing number is 9.

Hope This Helps You!
Good Luck Studying :)




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3 years ago
What is b in 4b+61 in math
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5 0
3 years ago
In a sample of 70 stores of a certain​ company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi
uysha [10]

Answer:

We need at least 243 stores.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

For this problem, we have that:

n = 70, p = \frac{62}{70} = 0.886

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95​% confidence using the​ large-sample method.

We need at least n stores.

n is found when M = 0.04. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.886*0.114}

\sqrt{n} = \frac{1.96\sqrt{0.886*0.114}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}

n = 242.5

Rounding up

We need at least 243 stores.

5 0
3 years ago
3. Write an expression that would help you
Lina20 [59]

Answer:

How long is each piece of wood?

Expression = 32/x

Solve: How long is each piece of wood if

Hunter cuts the original piece into 8

pieces?

32/8 = 4 foot

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2 years ago
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