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Leviafan [203]
3 years ago
10

Identify the area of the rhombus. PLEASE HELP! I'm desperate!!

Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Area = 1/2(diagonal) * √4*side^2 - diagonal^2

Area = 1/2(16)*√(4*17^2 - 16^2)

Area = 8 * √(4*289-256)

Area = 8 *√900

Area = 8 * 30

Area = 240 m^2

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The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and
masya89 [10]

Answer:

a) There is a 100% probability that the (sample) average time waiting in line for these customers is less than 10 minutes.

b) There is a 100% probability that the (sample) average time waiting in line for these customers is between 5 and 10 minutes.

c) There is a 0% probability that the (sample) average time waiting in line for these customers is less than 6 minutes.

d) Because there are less observations, it would be less accurate.

e) Because there are moreobservations, it would be more accurate.

Step-by-step explanation:

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 \frac{\sigma}{\sqrt{n}}

Problems of normally distributed samples can be 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.

In this problem, we have that:

The amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.2 minutes and standard deviation 1.5 minutes. This means that \mu = 8.2, \sigma = 1.5.

Suppose that a random sample of n = 49 customers is observed

This means that s = \frac{1.5}{\sqrt{49}} = 0.21.

(a) Less than 10 minutes.

This probability is the pvalue of Z when X = 10. So:

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

Z = \frac{10 - 8.2}{0.21}

Z = 8.57

Z = 8.57 has a pvalue of 1.

This means that there is a 100% probability that the (sample) average time waiting in line for these customers is less than 10 minutes.

(b) Between 5 and 10 minutes.

This probability is the pvalue of Z when X = 10 subtracted by the pvalue of Z when X = 5.

From a), we have that the zscore of X = 10 has a pvalue of 1.

For X = 5.

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

Z = \frac{5 - 8.2}{0.21}

Z = -15.24

Z = -15.24 has a pvalue of 0.

Subtracting, we have that there is a 100% probability that the (sample) average time waiting in line for these customers is between 5 and 10 minutes.

(c) Less than 6 minutes.

This probability is the pvalue of Z when X = 6. So:

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

Z = \frac{6 - 8.2}{0.21}

Z = -10.48

Z = -10.48 has a pvalue of 0.

This means that there is a 0% probability that the (sample) average time waiting in line for these customers is less than 6 minutes.

(d) If you only had two observations instead of 49 observations, would you believe that your answers to parts (a), (b), and (c), are more accurate or less accurate? Why?

The less observations there are, the less acurrate our results are.

So, because there are less observations, it would be less accurate.

(e) If you had 1,000 observations instead of 49 observations, would you believe that your answers to parts (a), (b), and (c), are more accurate or less accurate? Why?

The more observations there are, the more acurrate our results are.

So, because there are moreobservations, it would be more accurate.

8 0
3 years ago
Which equation or inequality correctly compares 15006.099 and 15006.101? A.15006.099<15006.101 B.15006.099>15006.101 C.150
wariber [46]

Hey!

-------------------------------------------------

\boxed{ \bf A.~15,006.099~

-------------------------------------------------

Explanation:

Since both numbers have 15,006 before the decimal we only need to see which number has a bigger decimal.

0.099 < 0.101

0.101 - 0.099 = 0.002

So, 15,006.101 is 0.002 bigger than 15,006.099!

-------------------------------------------------

Hope This Helped! Good Luck!

8 0
3 years ago
What are angles that are equal called?
jonny [76]
I think the word you're looking for is congruent. Congruent angles always have the same angles.
8 0
3 years ago
Question 1
Marina CMI [18]

Answer:

1. plane parallel- ABC

2. segment parallel- DA

3. segment parallel- DE

4. segmney skew- FC

3 0
3 years ago
Can you please help me i really need help you get 15 points if you answer all please just say a or b or c or d for answers
Hoochie [10]
For the brownie one it’s C
For the train one it’s B
For the flour one it’s C
3 0
3 years ago
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