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2 years ago

Brainly pls help me on this question.

Mathematics

1 answer:

maw [93]2 years ago

8 0

Answer:

16ft

Step-by-step explanation:

The answer is 16ft because the area of a trapezoid is a + b/2 x h.

5 + 8/2 = 13/2 = 6.5

104/6.5 = 16

The height is 16ft.

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8416 + 0.28 + 1.489<br> What’s the answer?

Sphinxa [80]

Answer:

8,417.769

8416 + 0.28 is just adding 28 at the end so 8416.28

now 8416.28 + 1.489 is 8,417.769

the awnser is 8,417.769

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

a) What is the probability that a person selected at random from the general population is senior citizen who will get the flu t

Greeley [361]

<span>The probability that a person selected at random from the general population is senior citizen who will get the flu this season is 0.14 x 0.18 = 0.0252</span>

7 0

3 years ago

The quotient of two rational numbers is positive. What can you conclude about the signs of the dividend and the divisor?

Nikitich [7]

1) both have positives signs OR

2) both have negatives signs

7 0

3 years ago

Read 2 more answers

Time spent using e-mail per session is normally distributed, with mu equals 11 minutes and sigma equals 3 minutes. Assume that

liq [111]

Answer:

a) 0.259

b) 0.297

c) 0.497

Step-by-step explanation:

To solve this problem, it is important to know 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 11, \sigma = 3$

a. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 25, s = \frac{3}{\sqrt{25}} = 0.6$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

$Z = \frac{11.2 - 11}{0.6}$

$Z = 0.33$

$Z = 0.33$ has a pvalue of 0.6293.

X = 10.8

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

$Z = \frac{10.8 - 11}{0.6}$

$Z = -0.33$

$Z = -0.33$ has a pvalue of 0.3707.

0.6293 - 0.3707 = 0.2586

0.259 probability, rounded to three decimal places.

b. If you select a random sample of 25 sessions, what is the probability that the sample mean is between 10.5 and 11 minutes?

Subtraction of the pvalue of Z when X = 11 subtracted by the pvalue of Z when X = 10.5. So

X = 11

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

$Z = \frac{11 - 11}{0.6}$

$Z = 0$

$Z = 0$ has a pvalue of 0.5.

X = 10.5

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

$Z = \frac{10.5 - 11}{0.6}$

$Z = -0.83$

$Z = -0.83$ has a pvalue of 0.2033.

0.5 - 0.2033 = 0.2967

0.297, rounded to three decimal places.

c. If you select a random sample of 100 sessions, what is the probability that the sample mean is between 10.8 and 11.2 minutes?

Here we have that $n = 100, s = \frac{3}{\sqrt{100}} = 0.3$

This probability is the pvalue of Z when X = 11.2 subtracted by the pvalue of Z when X = 10.8.

X = 11.2

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

By the Central Limit Theorem

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

$Z = \frac{11.2 - 11}{0.3}$

$Z = 0.67$

$Z = 0.67$ has a pvalue of 0.7486.

X = 10.8

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

$Z = \frac{10.8 - 11}{0.3}$

$Z = -0.67$

$Z = -0.67$ has a pvalue of 0.2514.

0.7486 - 0.2514 = 0.4972

0.497, rounded to three decimal places.

5 0

3 years ago

Which of the following correlation coefficients represents the strongest relationship between two factors? A. –.15 B. –.80 C. +.

Lena [83]

Answer:

The strongest relation between the two factors is B.) -0.8

Step-by-step explanation:

The correlation coefficient typically varies from -1 to 1.

The value of -1 for the correlation coefficient denotes that the two variables are have a very strong negative correlation.

The value of +1 for the correlation coefficient denotes that the two variables are have a very strong negative correlation.

Therefore among the four options given of -0.15, -0.8, 0.38, 0.03 the strongest relation between two factors is given by -0.8 but as the '-' sign indicates the two factors are negatively correlated.

Negative correlation means that if one variable is high the other would be low.

Positive correlation means that if one variable is high then the other variable is also high and if one variable is low then the other is also low.

7 0

3 years ago