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2 years ago

Find the volume pleaseeeee

Mathematics

2 answers:

Pavlova-9 [17]2 years ago

8 0

180 cubic inches.
Volume = length * width * height
= 10 * 3 * 6
= 180 cubic inches

Alisiya [41]2 years ago

5 0

I believe it’s 1,080 if you had to multiply 6 x 180

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3 years ago

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(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term

kolbaska11 [484]

Answer:

$a_n=5-2(n-1)$ , all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

$a_n=a_1+d(n-1)$

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

$a_1=5\\a_2=3$

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

$d=a_2-a_1=3-5=-2$

substitute the given values in the formula

$a_n=5-2(n-1)$

The domain is all integers for $n\geq 1$

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3 years ago

Calculate the variance for the data set. Round your answer to the nearest hundredth. Show all of your steps. { 10 , 19 , 21 , 28

GrogVix [38]

Answer:

Variance of the given data = 31.143

Explanation:

Variance, $\sigma^2=\frac{1}{n} \sum_{i=1}^{n}(x_i-\mu)^2$ , where n is the number of observations, μ is the mean and $x_i$ is the observations made.

Number of observations, n = 7

Mean, μ = $\frac{10+19+21+28+12+20+16}{7} = 18$

$\sum_{i=1}^{n}(x_i-\mu)^2=(10-18)^2+(19-18)^2+(21-18)^2+(28-18)^2+(12-18)^2+(20-18)^2+(16-18)^2\\ \\ \sum_{i=1}^{n}(x_i-\mu)^2=64+1+9+100+36+4+4=218$

$\sigma^2=\frac{1}{n} \sum_{i=1}^{n}(x_i-\mu)^2=\frac{218}{7} =31.143$

So variance of the given data = 31.143

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3 years ago

Please correct my errors if there are any

WARRIOR [948]

Answer:

it looks good to me

Step-by-step explanation:

But i have a feeling that 8 might not be in the right place but im not sure

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3 years ago