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Aleks [24]
3 years ago
7

what is the tenth term of the geometric sequence that has a common ratio of 13 and 36 as its fifth term

Mathematics
1 answer:
tresset_1 [31]3 years ago
7 0
The formula<span> will be a</span>n<span> = a</span>12n - 1<span> or a</span>n<span> = (1)2</span>n - <span>1</span>
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The average amount of water in randomly selected 16-ounce bottles of water is 16.15 ounces with a standard deviation of 0.45 oun
vekshin1

Answer:

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use 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.

In this question, we have that:

\mu = 16.15, \sigma = 0.45, n = 35, s = \frac{0.45}{\sqrt{35}} = 0.0761

What is the probability that the mean of this sample is less than 15.99 ounces of water?

This is the pvalue of Z when X = 15.99. So

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

By the Central Limit Theorem

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

Z = \frac{15.99 - 16.15}{0.0761}

Z = -2.1

Z = -2.1 has a pvalue of 0.0179

0.0179 = 1.79% probability that the mean of this sample is less than 15.99 ounces of water.

3 0
3 years ago
Subtract the quotient of 15 divided by 4 from the sum 33 and 7
weeeeeb [17]
33+7-15/4
=40-3.75
=36.25
5 0
3 years ago
You have a 5-question multiple-choice test. Each question has four choices. You don’t know any of the answers. What is the exper
lana66690 [7]
2 out of 5 chance that you will attests get 3
4 0
3 years ago
What is a y-intercept of the continuous function in the table?
Vadim26 [7]

Answer:

5=y-intercept

Step-by-step explanation:

the y intercept point is when y has a number but x is 0 so we see what is y (f(x)) and it is 5

5 0
3 years ago
Help I’ll mark you brainly!
larisa [96]
Hey there if you can just type in the assignment in to google there will be a webisite if kuta software and it will have the answers


Can you pls mark me brainleist
4 0
3 years ago
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