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Over [174]
3 years ago
6

If a pyramid had a base of area 4 and height of 6, what is the volume

Mathematics
2 answers:
lilavasa [31]3 years ago
4 0
24 because 4x6 is 24
aleksley [76]3 years ago
3 0
I believe this is 24
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2-7x-3x=-8x-8<br><br><br> Explain<br><br><br> Thanks
Agata [3.3K]

2-7x-3x=-8x-8\\\\-7x-3x+8x=-8-2\\\\-2x=-10 \ \ /:(-2)\\\\\huge\boxed{x=5}

4 0
2 years ago
Read 2 more answers
Suppose the horses in a large stable have a mean weight of 975lbs, and a standard deviation of 52lbs. What is the probability th
Lubov Fominskaja [6]

Answer:

0.8926 = 89.26% probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable

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 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 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 problem, we have that:

\mu = 975, \sigma = 52, n = 31, s = \frac{52}{\sqrt{31}} = 9.34

What is the probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable?

pvalue of Z when X = 975 + 15 = 990 subtracted by the pvalue of Z when X = 975 - 15 = 960. So

X = 990

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

By the Central Limit Theorem

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

Z = \frac{990 - 975}{9.34}

Z = 1.61

Z = 1.61 has a pvalue of 0.9463

X = 960

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

Z = \frac{960 - 975}{9.34}

Z = -1.61

Z = -1.61 has a pvalue of 0.0537

0.9463 - 0.0537 = 0.8926

0.8926 = 89.26% probability that the mean weight of the sample of horses would differ from the population mean by less than 15lbs if 31 horses are sampled at random from the stable

7 0
3 years ago
Cynthia conducted an experiment with a spinner that contained only 4 sectors:f,g,h,and j. She spun the arrow 40 times and record
nadezda [96]
The probability is C) 3/8.

The spinner landed on H 15 times out of (12+9+15+4) = 40 times.  This is a probability of 15/40, which simplifies to 3/8.
3 0
2 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
ElenaW [278]

Answer:

x = 20

Step-by-step explanation:

Since there's 2 lines intercepting each other, the angle opposite of the other is the same.

3(20) + 50 = 110

6(20) - 10 = 110

7 0
2 years ago
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What is y-intercept of the graph
Kipish [7]

Answer:

  1a. y-intercept: 12

  1b. slope: -3/2

  1c. equation: y = -3/2x +12

  2a. y-intercept: -9

  2b. slope: 2

  2c. equation: y = 2x -9

Step-by-step explanation:

<h3>1.</h3>

A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).

B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:

  slope = m = rise/run = -3/2

C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...

 y = -3/2x +12

__

<h3>2.</h3>

A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.

  the y-intercept is -9

  the slope is 2/1 = 2

  the equation is y = 2x -9

7 0
2 years ago
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