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Nadya [2.5K]
3 years ago
5

What is the surface area of this triangular prism rounded to the nearest tenth?

Mathematics
2 answers:
Vesna [10]3 years ago
8 0
The answer is C.
SA = bh + (s1 + s2 + s3)H
SA = (6.8)(5.1) + (6.8 + 5.1 + 8.5)(2.5) = 85.68
Makovka662 [10]3 years ago
3 0

Answer:

The correct option is C.

\text{The surface area is=}85.7cm^2

Step-by-step explanation:

Given the right triangular prism.

we have to find the surface area of given right triangular prism.

As triangular prism is formed with two right triangles and 3 rectangles with different length and breadth.

∴ \text{Surface area =}2(\frac{1}{2})base\times height + (s_1 + s_2 + s_3)H

                                        =(6.8)(5.1)+(6.8+ 5.1+8.5)(2.5)

                                        =85.68\sim85.7cm^2

Hence, correct option is C.

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(4.1.4) Let X and Y be Bernoulli random variables. Let Z = X + Y. a. Show that if X and Y cannot both be equal to 1, then Z is a
Fynjy0 [20]

Step-by-step explanation:

Given that,

a)

X ~ Bernoulli (p_x) and Y ~ Bernoulli (y_x)

X + Y = Z

The possible value for Z are Z = 0 when X = 0 and Y = 0

and Z = 1 when X = 0 and Y = 1 or when X = 1 and Y = 0

If X and Y can not be both equal to 1 , then the probability mass function of the random variable Z takes on the value of 0 for any value of Z other than 0 and 1,

Therefore Z is a Bernoulli random variable

b)

If X and Y can not be both equal to  1

then,

p_z = P(X=1 or Y=1)\\

p_z = P(X=1)+P(Y=1)-P(=1 and Y =1)

p_z = P(x=1)+P(Y=1)\\\\p_z=p_x+p_y

c)

If both X = 1 and Y = 1 then Z = 2

The possible values of the random variable Z are 0, 1 and 2.

since a  Bernoulli variable should be take on only values 0 and 1 the random variable Z does not have Bernoulli distribution

7 0
3 years ago
Can someone help me with this question please?
Verizon [17]
Is x=1/3 a possible answer? It would be if in fraction form.
or -31.

8 0
3 years ago
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How do I do this? I don’t understand
Ganezh [65]
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5 0
3 years ago
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Three angles of a quadrilateral are 75°, 90° and 75°. What is the measure of the fourth angle?
Sergio039 [100]

the inside of quadrilateral is always 360°.So add 75°,90° and 75° and then subyaract from360°.

x+75°+75°+90°=360

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4 0
3 years ago
If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting two queens and two kings.
Bingel [31]

<u>Given</u>:

If you are dealt 4 cards from a shuffled deck of 52 cards.

We need to determine the probability of getting two queens and two kings.

<u>Probability of getting two queens and two kings:</u>

The number of ways of getting two queens is 4C_2

The number of ways of getting two kings is 4C_2

Total number of cases is 52C_4

The probability of getting two queens and two kings is given by

\text {probability}=\frac{\text {No.of fanourable cases}}{\text {Total no.of cases}}

Substituting the values, we get;

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Simplifying, we get;

probability=\frac{6 (6)}{270725}

probability=\frac{36}{270725}

probability=0.000133

Thus, the probability of getting two queens and two kings is 0.000133

7 0
3 years ago
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