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3 years ago

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Derrick has a very long rope. He used 3/8 of it to make some outdoor structures. He cut the remainder up into 15 equal short rop

es. He used 10 of these to tie some parcels. He measured and realized that he was left with 7 1/2m of rope left. how long was the rope originally?

1 answer:

Pepsi [2]3 years ago

6 0

Answer:afafafaf

Step-by-step explanation:

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IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.

jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 100, \sigma = 15$

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

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

$Z = \frac{115 - 100}{15}$

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

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2 years ago

One division of a large defense contractor manufactures telecommunication equipment for the military. This division reports that

Zielflug [23.3K]

Answer:

At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

Step-by-step explanation:

To reach a conclusion, we have to observe the confidence interval.

Should management conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components?

Is the upper bound of the confidence interval lower than 12% = 0.12?

If yes, it should conclude that this percentage is lower.

Otherwise, it cannot conclude.

Confidence interval:

0.0758 to 0.1339

0.1339 is higher than 0.12.

So.

At the 95% confidence level, management should not conclude that the percentage of rework for electrical components is lower than the rate of 12% for non-electrical components, since the upper bound of the confidene interval, which is 0.1339, is higher than 0.12.

6 0

3 years ago

Read 2 more answers

Evaluate the expression. Drag the answer into the box to match the expression. 27⋅((33)−1) 27 3 1 1/9

Annette [7]

The answer is 1.

3^3 = 27
27^-1 = 1/27
1/27 x 27 = 1

I took this test and got this question right.

7 0

3 years ago

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Given f(x)=9-2x, find f(10).<br><br> A.-11<br> B.11<br> C.29<br> D.-29

zaharov [31]

The given function is a linear function that decreases as the value of the

input <em>x</em> increases.

The value of f(10), given f(x) = 9 - 2·x is option <u>A. -11</u>

Reasons:

The given function is f(x) = 9 - 2·x

The output of the function is the value of f(x) for a given input <em>x</em> of the function.

The input value, <em>x</em> is substituted into the function to obtain the output value, f(x).

Given that the input, x = 10

We have;

f(10) = 9 - 2×10 = -11

Therefore, the correct option for f(10) is <u>A. -11</u>

Learn more about functions here:

brainly.com/question/10781304

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2 years ago

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The measures of the angles of a triangle are in the extended ratio 2:2:8. What is the measure of the smallest angle?

zepelin [54]

We know that the ratio is;

$2:2:8$

The angles in a triangle add up to give 180°

We can think of there being twelve "parts" that add up to 180°

$2x + 2x + 8x = 180 \\ \\ 12x = 180 \\ \\ x = \frac{180}{12} \\ \\ x = 15$

So our ratio is;

$2*15 : 2*15 : 8*15 \\ \\ = 30 : 30 :120$

So the smallest angle is 30°

7 0

3 years ago

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