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2 years ago

10

Find the volume of a triangular prism with the following dimensions. Round to the nearest whole number.

2 answers:

erastovalidia [21]2 years ago

7 0

V= l x w x h V= 9 x 4 x 9.5 342 ft = Volume D. 342 ft Hope this helps I read the question iincorrectly sorrry

mestny [16]2 years ago

4 0

The volume of any prism is just the area of the base times the height of the prism.

The base of the prism is a triangle, and you should know how to find the area of a triangle already. The base is 9, the height is 4, $\frac{bh}2=\frac{9*4}2=\frac{36}2=\boxed{18\ ft^2}$ .

Multiply that by the height of 9.5 and we get $18\ ft^2*9.5\ ft=\boxed{\boxed{171\ ft^3}}$

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A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is

koban [17]

The expected length of code for one encoded symbol is

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha$

where $p_\alpha$ is the probability of picking the letter $\alpha$ , and $\ell_\alpha$ is the length of code needed to encode $\alpha$ . $p_\alpha$ is given to us, and we have

$\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}$

so that we expect a contribution of

$\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375$

bits to the code per encoded letter. For a string of length $n$ , we would then expect $E[L]=1.375n$ .

By definition of variance, we have

$\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2$

For a string consisting of one letter, we have

$\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4$

so that the variance for the length such a string is

$\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859$

"squared" bits per encoded letter. For a string of length $n$ , we would get $\mathrm{Var}[L]=1.859n$ .

5 0

2 years ago

Peter was given 40 words to spell to qualify for a prize. He must spell at least 90% of those words correctly. At least how many

AnnZ [28]

Answer:

He should have to spell at least 36 of these words correctly.

Step-by-step explanation:

40 words.

He must spell at least 90% of those words correctly.

At least how many words should he have to spell correctly to get the prize?

90% of 40. So

0.9*40 = 4*9 = 36

He should have to spell at least 36 of these words correctly.

6 0

2 years ago

A coach for a sport picks the initial lineup of seven out of eleven players for a game. The first two are always numbers seven a

Cerrena [4.2K]

Answer:

add 11 and 7 togive you 18 and it is over 2.therefore the answer is 1/9

3 0

2 years ago

Please help me, it’s very important

gayaneshka [121]

2x2+6x+20 here is it

3 0

2 years ago

A computer store buys a computer system at a cost of $450.20. The selling price was first at $710, but then the store

anygoal [31]

Answer:

i believe it is 497 after the 30% mark down

Step-by-step explanation:

i subtracted 30% from 710

8 0

2 years ago