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skelet666 [1.2K]
3 years ago
10

Find the lateral area of a regular pentagonal pyramid that has a slant height of 16 in. and a base side of 8 in.?

Mathematics
1 answer:
MatroZZZ [7]3 years ago
8 0
Pentagon=5, there will be 5 triangles and one base. area of triangle=1/2bh
1/2(8)(16)*5=320. 320 is the area of all of the triangles on the side. Since we are looking for lateral area, we need not include the base. So, the lateral area is 320 square inches.
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How can we tell if a number is divisible by 4
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Answer: You take the last two digits of the original number and see if they are divisible by 4.

Step-by-step explanation: Take your original number and find the last two digits. If they are divisible by 4, then the original number is divisible by 4.

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Step-by-step explanation:

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"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o
liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

7 0
3 years ago
The Miller family bought 4 crates of eggs last week. Each crate had 18 eggs. Since then, they have eaten 27 of the eggs. How man
Varvara68 [4.7K]

Answer:

45 eggs left

Step-by-step explanation:

if they had 4 crates and each crate has 18, then we have a total of 72 eggs

subtract 27 eaten eggs from 72

72-27=45

they have 45 eggs left

4 0
3 years ago
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An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

<u>Given system of equations</u>

5(s-w)=900

4(s+w)=900

<u />

<u>Set equations equal to each other</u>

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

<u>Solve for w using the substitution s=9w</u>

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0
2 years ago
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