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3 years ago

What is the product?

Mathematics

1 answer:

kozerog [31]3 years ago

3 0

Answer:

[3 -12 15 -21].

Step-by-step explanation:

Each of the elements in the matrix is multiplied by 3.

3 * [ 1 -4 5 -7]

= [3 -12 15 -21].

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Calculating the Volume of a Right Prism A right prism has a base in the shape of an octagon. The side length of the octagon is 4

Cerrena [4.2K]

we know that

volume of the prism= area of the base*height

Area of the base=perimeter*apothem/2

perimeter of the base=8*4

perimeter=32 in

Area of the base=32*4.83/2

Area of the base=77.28 in²

volume of the prism=77.28*12

volume of the prism=927.36 in³

therefore

the answer is

927 in³

6 0

3 years ago

Use substitution to show that 9+6(10-7x) is equivalent to 69-42x.

Over [174]

Answer:

hope this helps

Step-by-step explanation:

9+6(10-7x)

=9+60-42x

=69-42x

5 0

3 years ago

Need help please help

const2013 [10]

Basically, when dealing with measurement problems such as these you ALWAYS need to have a key, or keys. The key(s) in this situation would be: 1 inch equals 12 feet, and 12 inches equals 1 foot. Now what you need to do is solve. So, width of the building's lot is 114 feet. You want to divide that by twelve because, remember one of the key(s) is 1 inch=12 feet. So the twelve you are dividing by is the 1 inch= 12 feet equation. Now when you divide 114÷12, you get the answer of 9.5, AKA 9 1/2. And now to check the answer, multiply 9.5 with 12, and that would give you 114. I hope this helps!

3 0

4 years ago

joey's mom baked two dozen cookies . that night, there were only 14 cookies left. what percentage of the cookies were eaten?

Aleksandr [31]

Answer:

41.67 % ( to 2 dec. places )

Step-by-step explanation:

Since 2 dozen cookies were baked, that is 24 and 14 were left.

Then 10 were eaten.

Calculate the percentage eaten as

percentage = $\frac{numbereaten}{original}$ × 100%

percentage eaten = $\frac{10}{24}$ × 100% ≈41.67%

5 0

3 years ago

Suppose data made available through a health system tracker showed health expenditures were $10,348 per person in the United Sta

nignag [31]

Answer:

a) 30.08% probability the sample mean will be within $100 of the population mean.

b) 0% probability the sample mean will be greater than $12,600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.

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 $s = \frac{\sigma}{\sqrt{n}}$ .