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3 years ago

Which expression represents the volume of the prism?

Mathematics

2 answers:

Anna [14]3 years ago

8 0

Answer:

x2(x – 2) cubic units

Step-by-step explanation:

Got it right on edge 2020

artcher [175]3 years ago

6 0

Answer: V = B · h

Step-by-step explanation:

Volume (V) = Area of the base (B) × height (h)

The Area of the base (B) depends on the shape of the base. For example:

Triangular prism = Area of a Triangle × height
Rectangular prism = Area of a rectangle × height
Pentagonal prism = Area of a pentagon × height

You might be interested in

The piecewise function h(x) is shown on the graph.

Artemon [7]

Step-by-step explanation/Answer:

The value for h(3) is 1.

Coordinate (3,1)

The value on h(3) is located in the last part of the piecewise function, which starts at (1,3) until (4,0). To know the exact image of h(3), we can find the function that belongs to that piece of line, and then calculated the asked value.

So, to calculate the equation, we first have to find the slope with its definition, and then we'll use the point-slope formula to find the equation:

Therefore, the coordinates is (3,1), that is, the value for h(3) is 1.

3 0

3 years ago

Read 2 more answers

7) Using the Distributive Property (think of the double rainbows!), write an equivalent expression to 11(7 - 3). Your answer sho

maxonik [38]

Answer:

77-33

Step-by-step explanation:

11(7-3)

(11 x 7) - (11 x 3)

77 - 33

Answer:

77-33

6 0

3 years ago

Stella [2.4K]

Yes, this identity is true. Those two operations are equivalent.

6 0

3 years ago

You are given the following information obtained from a random sample of 5 observations. 20 18 17 22 18 At 90% confidence, you w

Margaret [11]

Answer:

The null hypothesis is

$H_o : \mu = 21$

The Alternative hypothesis is

$H_a : \mu< 21$

$\sigma_{\= x} = 0.8944$

$t = -2.236$

Yes the mean population is significantly less than 21.

Step-by-step explanation:

From the question we are given

a set of data

20 18 17 22 18

The confidence level is 90%

The sample size is n = 5

Generally the mean of the sample is mathematically evaluated as

$\= x = \frac{20 + 18 + 17 + 22 + 18}{5}$

$\= x = 19$

The standard deviation is evaluated as

$\sigma = \sqrt{ \frac{\sum (x_i - \= x)^2}{n} }$

$\sigma = \sqrt{ \frac{ ( 20- 19 )^2 + ( 18- 19 )^2 +( 17- 19 )^2 +( 22- 19 )^2 +( 18- 19 )^2 }{5} }$

$\sigma = 2$

Now the confidence level is given as 90 % hence the level of significance can be evaluated as

$\alpha = 100 - 90$

$\alpha = 10$ %

$\alpha =0.10$

Now the null hypothesis is

$H_o : \mu = 21$

the Alternative hypothesis is

$H_a : \mu< 21$

The standard error of mean is mathematically evaluated as

$\sigma_{\= x} = \frac{\sigma}{ \sqrt{n} }$

substituting values

$\sigma_{\= x} = \frac{2}{ \sqrt{5 } }$

$\sigma_{\= x} = 0.8944$

The test statistic is evaluated as

$t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 19 - 21 }{ 0.8944 }$

$t = -2.236$

The critical value of the level of significance is obtained from the critical value table for z values as

$z_{0.10} = 1.28$

Looking at the obtained value we see that $z_{0.10}$ is greater than the test statistics value so the null hypothesis is rejected

6 0

4 years ago

Atlantic Hurricanes

Natali [406]

Answer:

1933

there where a total number of 20 hurricanes recorded that year

4 0

3 years ago