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Serjik [45]
3 years ago
10

A city had 5.4 inches of rain in September and 4.5 inches of rain in October. What is the difference in rainfall between the two

months?
Mathematics
2 answers:
kvasek [131]3 years ago
8 0
You subtract 5.4 to 4.5
The answer is 0.9
cupoosta [38]3 years ago
4 0
.9 inches just subtract the 2 numbers <span />
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The head of maintenance at XYZ Rent-A-Car believes that the mean number of miles between services is 3639 3639 miles, with a var
Andrei [34K]

Answer:

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

Step-by-step explanation:

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

A reminder is that the standard deviation is the square root of the variance.

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:

\mu = 3639, \sigma = \sqrt{145161} = 381, n = 41, s = \frac{381}{\sqrt{41}} = 59.5

Probability that the mean of the sample would differ from the population mean by less than 126 miles

This is the pvalue of Z when X = 3639 + 126 = 3765 subtracted by the pvalue of Z when X = 3639 - 126 = 3513. So

X = 3765

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

By the Central Limit Theorem

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

Z = \frac{3765 - 3639}{59.5}

Z = 2.12

Z = 2.12 has a pvalue of 0.983

X = 3513

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

Z = \frac{3513 - 3639}{59.5}

Z = -2.12

Z = -2.12 has a pvalue of 0.017

0.983 - 0.017 = 0.966

96.6% probability that the mean of a sample would differ from the population mean by less than 126 miles

3 0
3 years ago
2 lines intersect. A line with points T, R, W intersects a line with point S, R, V at point R. 4 angles are created. Labeled clo
Agata [3.3K]

Answer:

45

Step-by-step explanation:

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5 0
3 years ago
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4 1/2 + 1 + 2 + 1 1/4 + 1/2 + 2/4 how did you get the answer
Anestetic [448]
Your answer is 9 3/4.
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3 years ago
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ANYEONESSSSSSSSSS???
Dmitriy789 [7]

Answer:

C. 2

Step-by-step explanation:

To solve slope, the formula is \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. 9-3 is 6 and 5-2 is 3. So simplify 6/3 to 2.

Hope it's correct!

4 0
3 years ago
This is a piecewise function |x+3| ,x&gt;2
marusya05 [52]

Answer:

Given: piece wise function-

f(x) = x + 3 for x < 0 and f(x) = 2x for x ≥ 0

First part of the function does not include x = 0.

In slope-intercept form,

slope(m) = 1

y-intercept = (0,3).

So, the conditions are shown in graphs 1 and 3.

Now, the second part of the function equation passes through origin as the equation is f(x) = 2x.

Correct choice - [B]

Note: See picture of graph attached.

Step-by-step explanation:

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