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3 years ago

- (09.02)

Mathematics

1 answer:

sergeinik [125]3 years ago

4 0

Answer:

1/3

Step-by-step explanation:

The only way it could be less than 9 is if the second cube is either 1 or 2. The probability of either of those outcomes is 2/6, simplified to be 1/3

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Maverick spends 20 minutes of each day reading. Let d be the number of days that he reads, and let m represent the total minutes

MAVERICK [17]

Answer:

Assuming the question is to create an equation, it would be m = 20d

Step-by-step explanation:

5 0

2 years ago

Rewrite the following 7(3+5=___+___

Ray Of Light [21]

Answer:

21+35

Step-by-step explanation:

use distributive property, multiply 7 by the two numbers in the parenthesis

keep the problem though.

6 0

3 years ago

The Office of Student Services at a large western state university maintains information on the study habits of its full-time st

Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

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 z-score 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 p-value, 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.

Mean of 20 hours, standard deviation of 6:

This means that $\mu = 20, \sigma = 6$

Sample of 150:

This means that $n = 150, s = \frac{6}{\sqrt{150}}$

What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So

X = 21

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

By the Central Limit Theorem

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

$Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}$

$Z = 2.04$

$Z = 2.04$ has a p-value of 0.9793

X = 19.5

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

$Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}$

$Z = -1.02$

$Z = -1.02$ has a p-value of 0.1539

0.9793 - 0.1539 = 0.8254

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

3 0

3 years ago

Part A: Larry earned $11 walking his neighbors' dogs on Saturday. He earned some extra money on Sunday doing the same thing. Wri

djyliett [7]

So for part a the answer with be 11/6
Why 6 because count the weeks that wil be 6 so Monday Tuesday Wednesday thursaday and Friday then comes Saturday

3 0

3 years ago

Read 2 more answers

The tuft bind strength of a synthetic material used to make carpets is known to have a mean of 100 lb and standard deviation of

emmasim [6.3K]

Answer:

The null hypothesis is: $H_{0}: \mu = 100$