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navik [9.2K]
3 years ago
8

The average american bikes or walkes 238 minutes every week, or 7 days. how many minutes would a person bike or walk in a month,

or 30 days?
Mathematics
1 answer:
Aleks [24]3 years ago
3 0
The answer would be 1,020 minutes every 30 days
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A particular fruit's weights are normally distributed, with a mean of 344 grams and a standard deviation of 10 grams. If you pic
grin007 [14]

Answer:

0.9984 = 99.84% probability that their mean weight will be between 334 grams and 354 grams.

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 establishes 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 344 grams and a standard deviation of 10 grams.

This means that \mu = 344, \sigma = 10

Sample of 10:

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

What is the probability that their mean weight will be between 334 grams and 354 grams?

This is the p-value of Z when X = 354 subtracted by the p-value of Z when X = 334.

X = 354

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

By the Central Limit Theorem

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

Z = \frac{354 - 344}{\frac{10}{\sqrt{10}}}

Z = 3.16

Z = 3.16 has a p-value of 0.9992.

X = 334

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

Z = \frac{334 - 344}{\frac{10}{\sqrt{10}}}

Z = -3.16

Z = -3.16 has a p-value of 0.0008.

0.9992 - 0.0008 = 0.9984

0.9984 = 99.84% probability that their mean weight will be between 334 grams and 354 grams.

7 0
3 years ago
C.126<br> D.115<br> Geometry math question no Guessing and Please show work
-BARSIC- [3]

The triangles are said to be similar, so the measures of sides in the larger triangle are proportional to the measures of sides in the smaller triangle. The measures of the two long sides have the ratio 182:65, so we expect the ratio of the shortest sides to be the same:

... ? : 45 = 182 : 65 . . . or . . . ?/45 = 182/65

Multiplying the equation by 45 gives us

... ? = 45·(182/65) = 126

The appropriate choice is ...

... C. 126


5 0
3 years ago
If 1=3<br><br> 2=3<br><br> 3=5<br><br> 4=4<br><br> 5=4<br><br> Then, 6=?
Flura [38]

Answer:

3

Step-by-step explanation:

1=3

2=3

3=5

4=4

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then

6=3

4 0
2 years ago
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The range for the given domain of the function f(x) =3x-6/x+4.5 is what
Drupady [299]
Try to use mathway its very helpful 

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3 years ago
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Sinθ+cotθ×cosθ=cscθ​
Assoli18 [71]

Answer:

Step-by-step explanation:

\sin \theta+\cot \theta\cos \theta=\sin \theta+\displaystyle \frac{\cos \theta}{\sin \theta}\cos \theta=\frac{\sin^2 \theta+\cos ^2 \theta}{\sin \theta}=\\\frac{1}{\sin \theta}=\csc \theta

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2 years ago
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