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MAXImum [283]
2 years ago
15

What is the value of expression 3/7 divide by 3/4

Mathematics
1 answer:
Masteriza [31]2 years ago
6 0

Answer:

You're answer is 4/7

Step-by-step explanation:

I hope this helps!

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The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F. What is the probabilit
Dimas [21]

Answer:

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

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.

The body temperatures of all mosquitoes in a county have a mean of 57∘F and a standard deviation of 10∘F.

This means that \mu = 57, \sigma = 10

Sample of 25:

This means that n = 25, s = \frac{10}{\sqrt{25}} = 2

of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal?

This is 1 subtracted by the pvalue of Z when X = 59. So

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

By the Central Limit Theorem

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

Z = \frac{59 - 57}{2}

Z = 1

Z = 1 has a pvalue of 0.84

1 - 0.84 = 0.16

0.16 probability that in a sample of 25 mosquitoes the mean body temperature is greater than 59∘F, assuming the underlying distribution is normal.

7 0
2 years ago
Describe the end behavior of f(x) = 1/3^x-5. [note: this is an exponential function where 1/3 is the base and x is the exponent.
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Answer:

c

Step-by-step explanation:

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Answer:

A)  y = 6x + 8

Step-by-step explanation:

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Your classmate is unsure about how to use side lengths to determine the type of triangle. How would you explain this to your cla
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Answer:

here are three types of triangle that differ from their side lengths.

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