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2 years ago

What is the volume of the figure?

Mathematics

1 answer:

atroni [7]2 years ago

8 0

Step-by-step explanation:

= 24 × 17 × 12

= 4,896 in³

= 12 × 10 × 4

= 480 in³

The volume of the figure

= 4,896 + 480

= 5,376 in³

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Find the sum of a finite arithmetic sequence from n = 1 to n = 10, using the expression 3n − 8.

maw [93]

Answer:

The answer is 85

Step-by-step explanation:

The equation used to find the sum of an arithmetic series is: (n/2) * (a1 + an).

n in this case is 10 (the number of numbers in the series)

an is 22 (plug in 10 to the expression 3n-8)

and a1 is -5 (plug in 1 to the expression 3n-8)

so when you plug everything in to the final equation, you get

(10/2) * (-5 + 22)

5 * 17

8 0

3 years ago

What is a rational number and how do you know?

Andreas93 [3]

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

8 0

3 years ago

Howard chose a candy from a bowl with 5 chocolate candies, 4 gummy candies and 6 hard candies. What is Howard's dependent probab

Hatshy [7]

Answer:

8.9%

Step-by-step explanation:

Here, we are to calculate the probability of Howard choosing a chocolate candy followed by a gummy candy.

The probability of selecting a chocolate candy = number if chocolate candy/ total number of candy

Total number of candy = 5 + 4 + 6 = 15

Number of chocolate candy = 5

The probability of selecting a chocolate candy = 5/15 = 1/3

The probability of selecting a gummy candy = number of gummy candies/total number of candies

Number of gummy candy = 4

The probability of selecting a gummy candy = 4/15

The probability of selecting a chocolate candy before a gummy candy = 1/3 * 4/15 = 4/45 = 0.088888888889

Which is same as 8.89 percent which is 8.9% to the nearest tenth of a percent

7 0

3 years ago

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

4 0

3 years ago

Does this equation represent a proportional relationship? y=x+1

Butoxors [25]

Answer:

yes

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers