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Effectus [21]
4 years ago
6

The dimensions of a rectangular prism are shown in the diagram below. Write an expression that represents the volume of the rect

angular prism?
Hint: Aprism= Length x width x height

Mathematics
1 answer:
ValentinkaMS [17]4 years ago
7 0

Answer:

V=(a^{4})(b^{6})\ units^3

Step-by-step explanation:

we know that

The volume of a rectangular prism is equal to

V=LWH

In this problem we have

L=ab^2\\W=ab^3\\H=a^2b

substitute

V=(ab^2)(ab^3)(a^2b)

Applying property of exponents

x^{m} x^{n}x^{r} =x^{m+n+r}

V=(a^{4})(b^{6})\ units^3

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Find the mean and standard deviation. Show all work. 1. X 0 1 2 3 4 P(x) .07 .38 .22 .13
Paraphin [41]

Answer:

Mean = 2.14

Standard deviation = 2.40

Step-by-step explanation:

The calculation of mean and standard deviation is shown below:-

X = .07\times0 + 0.20\times 1 + 0.38\times 2 + 0.22\times 3 + 0.13\times 4\\\\ = 0 + 0.2 + 0.76 + 0.66 + 0.52

= 2.14

So, the mean is 2.14

Now, For computing the standard deviation first we need to find out the variance which is shown below:-

Variance is

Var(X) = P(X^2) - [P(X)]^2\\\\ P(X^2) = .07\times (0^2) + .20\times (0^1) + .38\times (0^2) + .22\times (0^3) +0.13\times (0^4)

After solving the above equation we will get

= 5.78

Now, the standard deviation is = \sqrt{Variance}

= \sqrt{5.78}

= 2.404163056

or

= 2.40

7 0
3 years ago
Based on the information in the diagram, can you prove that the figure is a parallelogram? Explain
kvv77 [185]

Yes, we can prove that the given figure is a parallelogram.

From the given figure, we can see that the given quadrilateral opposite angles and congruent.  And we know that if a quadrilateral has two opposite angles congruent, then the quadrilateral  is a parallelogram.

Therefore, we can say that the given figure is a parallelogram.

From the given options, second option is correct.

Therefore, the correct option is:-

Yes, opposite angles are congruent.

4 0
3 years ago
List the set of integers leas than -8
Oksana_A [137]

Any rational number that is -9 up (-10, -11, -12, etc.) is an integer less than -8

5 0
3 years ago
Read 2 more answers
The volume of a square pyramid with a base length of 12 cm and a height of 10 cm is ___ cubic cm.
umka2103 [35]

Answer:

corrcect

Step-by-step explanation:

Base times Hight

4 0
3 years ago
Devaughn is 6 years older than Sydney. The sum of their ages is 50 . What is Sydney's age?
amid [387]
Sydney is 44 years old 
8 0
3 years ago
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