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notsponge [240]
2 years ago
7

Help help help help help

Mathematics
2 answers:
Norma-Jean [14]2 years ago
5 0

Step-by-step explanation:

volume = [(15×11)+(½×15×8)] x 12

= (165+60) x 12

= 225×12

= 2,700 cm³

kow [346]2 years ago
4 0

Answer:

31350cm^3

Step-by-step explanation:

1/2(5 x 9.5 x 11)

= 261.25

261.25 x 12

= 3135

3135 x 10 =  3135cm^3

<u><em>Please mark as brainliest if answer is right </em></u>

Have a great day, be safe and healthy  

Thank u  

XD  

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Suppose that in one region of the country the mean amount of credit card debt perhousehold in households having credit card debt
kvv77 [185]

Answer:

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples are solved using 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 random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 15250, \sigma = 7125, n = 1600, s = \frac{7125}{\sqrt{1600}} = 178.125

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly

This probability is the pvalue of Z when X = 1600 + 300 = 1900 subtracted by the pvalue of Z when X = 1600 - 300 = 1300. So

X = 1900

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

By the Central Limit Theorem

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

Z = \frac{1900 - 1600}{178.125}

Z = 1.68

Z = 1.68 has a pvalue of 0.9535.

X = 1300

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

Z = \frac{1300 - 1600}{178.125}

Z = -1.68

Z = -1.68 has a pvalue of 0.0465.

0.9535 - 0.0465 = 0.907.

The probability that the mean amount of credit card debt in a sample of 1600 such households will be within $300 of the population mean is roughly 0.907 = 90.7%.

7 0
3 years ago
On Friday, the temperature changes -30 each hour. If the temperature changed for 7 hours, what is the total temperature change?
Marina86 [1]

A -120 difference will be seen in the temperature within a 7 hour period

<u>Equation</u>

<em>-</em>30 x 7

<em>Multiplying two of different signs ( - + ,  + - ) will always be negative.</em>

<em>Multiplying two of the same sign ( - - , + + ) will always be positive.</em>

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Answer:

3.9 in^2

Step-by-step explanation:

The area of a triangle is given by

A=\frac{1}{2}bh

where

b is the base

h is the height

Here we have an equilateral triangle, which has the 3 sides of the same length.

Let's call L the length of one side.

We know that the perimeter of the triangle is

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The perimeter is the sum of the three sides, so:

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Therefore, we find the length of the side:

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b=L

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h=\sqrt{L^2-(\frac{b}{2})^2}=\sqrt{3^2-(\frac{3}{2})^2}=2.6 in

Therefore, the area of the triangle is:

A=\frac{1}{2}(3)(2.6)=3.9 in^2

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Answer:

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Step-by-step explanation:

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