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OverLord2011 [107]
3 years ago
9

Consider the enlargement of the parallelogram. A smaller parallelogram with side lengths of one-third foot and x feet. A larger

parallelogram with side lengths 8 feet and 6 feet. Set up a proportion to solve for the missing measure of the original parallelogram. Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram? What is the second step in solving the proportion? What is the value of the missing measure?
Mathematics
2 answers:
erastovalidia [21]3 years ago
5 0

Answer:

Which side of the original parallelogram corresponds to the 6 ft side of the enlarged parallelogram? ITS IS  x ft

What is the second step in solving the proportion? <em>IT IS  cross multiply</em>

What is the value of the missing measure? IT IS  1/4

Step-by-step explanation:

i got this right

balandron [24]3 years ago
4 0

Answer:

Enlargement rate is 24

Step-by-step explanation:

Divide 8 by one third to get the enlargement rate. I hope this helps:)

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A researcher wants to estimate the percentage of all adults that have used the Internet to seek pre-purchase information in the
Lubov Fominskaja [6]

Answer:

The required sample size for the new study is 801.

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 is:

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

25% of all adults had used the Internet for such a purpose

This means that \pi = 0.25

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.

What is the required sample size for the new study?

This is n for which M = 0.03. So

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

0.03 = 1.96\sqrt{\frac{0.25*0.75)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.25*0.75}

\sqrt{n} = \frac{1.96\sqrt{0.25*0.75}}{0.03}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.25*0.75}}{0.03})^2

n = 800.3

Rounding up:

The required sample size for the new study is 801.

4 0
3 years ago
A triangle had two sides of lengths 10 and 14
BartSMP [9]

Answer:

Isosceles or scalene

Isosceles has 2 sides that are the same value

scalene is where none of the sides are equal

6 0
3 years ago
Read 2 more answers
Find x if L is between N and M, and NL = (6x - 5), LM = (2x + 3), and NM = (3x+13)?
anastassius [24]

Answer:

x = 3

Step-by-step explanation:

Here, we want to find the value of x

By mathematical convention;

NM = NL + LM

Now, substitute individual values

3x + 13 = (6x-5) + (2x + 3)

3x + 13 = 6x-5 + 2x + 3

3x + 13 = 8x -2

Collect like terms

8x -3x = 13 + 2

5x = 15

x = 15/5

x = 3

3 0
3 years ago
A community college has a math placement exam that has a mean of 65 and a standard deviation of 8.2. If a student takes the exam
Marat540 [252]

Answer:

The score that cuts off the bottom 2.5% is 48.93.

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

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What is the score that cuts off the bottom 2.5%

This is X when Z has a pvalue of 0.025, so X when Z = -1.96.

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

-1.96 = \frac{X - 65}{8.2}

X - 65 = -1.96*8.2

X = 48.93

The score that cuts off the bottom 2.5% is 48.93.

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