What is the Inter quartile Range <br> 5, 36, 15, 31

9(x+4) Please find the equivalent expression.*

sineoko [7]

Answer:

9(4)+4

Step-by-step explanation:

7 0

3 years ago

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Jorge wants to find the most popular way for teens to volunteer in the community. He cannot decide between two methods. Option 1

ale4655 [162]

Option 2 would be biased. Asking people participating in a walkathon means you are asking people that are already volunteering. To get a non-biased sample, you have to be sure that you are including people that are not guaranteed to be volunteers; you don't have that in this situation.

4 0

3 years ago

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Write and solve an equation to find the value

iren2701 [21]

Answer:

x = 11 ,

<APT = 6x + 1 ➡ 67°

<PTA = 9x - 24 ➡75°

<PAT = 5x - 17 ➡ 38°

Step-by-step explanation:

(5x - 17) + (9x - 24) + (6x + 1)=180°

20x - 40 = 180°

20x = 180° + 40°

20x = 220°

x = 11

6 0

4 years ago

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An elevator has a placard stating that the maximum capacity is 1580 lb-10 passengers. So, 10 adult male passengers can have a m

disa [49]

Answer:

a) 0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb

b) No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions 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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Assume that weights of males are normally distributed with a mean of 160 lb and a standard deviation of 35 lb.

This means that $\mu = 160, \sigma = 35$

Sample of 10:

This means that $n = 10, s = \frac{35}{\sqrt{10}} = 11.07$

a) Find the probability that it is overloaded because they have a mean weight greater than 158 lb.

This is 1 subtracted by the pvalue of Z when X = 158. So

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

By the Central Limit Theorem

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

$Z = \frac{158 - 160}{11.07}$

$Z = -0.18$

$Z = -0.18$ has a pvalue of 0.4286

1 - 0.4286 = 0.5714

0.5714 = 57.14% probability that it is overloaded because they have a mean weight greater than 158 lb.

b.) Does this elevator appear to be safe?

No, because the probability of being overloaded is considerably high(57.14%). Ideally, it should be under 5%, which would be considered an unusual event.

8 0

3 years ago

A student measures the mass of a sample as 9.67g. Calculate the percent error , given that the correct mass is 9.87. Show step-b

vova2212 [387]

In order to calculate this, you need to solve :

$\frac{9.87 - 9.67}{9.87}$ x 100 %

= 0.2 / 9.87 x 100 %

= 2.02 %

Hope this helps

7 0

3 years ago

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What is the Inter quartile Range 5, 36, 15, 31