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slamgirl [31]
3 years ago
11

What is the volume of a square pyramid that has a base length of 5 inches and a height of 9 inches?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

Well since the for formula for these are b × h. We are gonna do...

5 × 9 which equals 45. So your answer is 45 cubic inches

hope this helps!

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The amount of potato chips an 18-ounce bag contains follows a normal distribution with a mean of 18.5 ounces and a standard devi
bekas [8.4K]

Answer:

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

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 question, we have that:

\mu = 18.5, \sigma = 0.2, n = 100, s = \frac{0.2}{\sqrt{100}} = 0.02

What is the probability that the sample mean weight of these 100 bags is less than 18.6 ounces

This is the pvalue of Z when X = 18.6. So

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

By the Central Limit Theorem

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

Z = \frac{18.6 - 18.5}{0.02}

Z = 5 has a pvalue of 1

100% probability that the sample mean weight of these 100 bags is less than 18.6 ounces

7 0
3 years ago
*<br> What is the slope in the graph?<br><br> m= -1<br> m= 0<br> m= 1<br> undefined
KIM [24]

Answer:

undefined

Step-by-step explanation:

The slope of a vertical line parallel to the y- axis is undefined.

8 0
3 years ago
What is the ratio 5:3 to make 20 gallons​
Tomtit [17]

Answer:

2.5

Step-by-step explanation:

5x+3x=20

8x=20

x=20/8=2.5

7 0
3 years ago
Solve for x or find x ​
ratelena [41]

the answer is x= 4

AB and CD are the same length

8x-1 =31

8x=32

x=4

4 0
3 years ago
Solve the following word problems.
aleksandr82 [10.1K]

Answer:

Step-by-step explanation:

Let a , b , c & d be the no. of chairs in hall A , B , C & D respectively.

Given,

b = 4a

c = a + 15

d = a + 8 + 4a = 5a + 8

Now,

Total no. of chairs (T) = a + b + c + d

                                   = a + 4a + a + 15 + 5a + 8

                                   = 11a + 23

Now,

Average chairs in each hall (Avg) = T/4

                                                       = (11a + 23)/4

7 0
3 years ago
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