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2 years ago

What is the base area of Box 3? x2 + x

Mathematics

1 answer:

exis [7]2 years ago

6 0

The base area of box 3, whose length is x²+x is x⁴+x²+2x³

Cube is a 3d figure whose all sides are equal and has 8 vertices , 6faces .

Volume=a³

Surface area=6a²

Base area=a²

a=x²+x

base area of a square =a²

=(x²+x)²

=x⁴+x²+2x³

Therefore, the base area of box 3, whose length is x²+x is x⁴+x²+2x³

Learn more about mensuration,

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According to a survey, 60 % of the residents of a city oppose a downtown casino. Of these 60 % about 8 out of 10 strongly opp

katrin [286]

Answer:

(a) 0.48

(b) 0.20

(c) it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

Step-by-step explanation:

(a) Find the probability that a randomly selected resident opposes the casino and strongly opposes the casino.

The probability that a radomly selected resident opposes the casino and strongly opposes the cassino is the product of the two probabilities, that a resident opposes the casino and that it strongly opposes the casino (once it is in the first group) as it is shown below.

Use this notation:

Probability that a radomly selected resident opposes the casino: P(A)

Probability that a resident who opposes the casino strongly opposes it: P(B/A), because it is the probability of event B given the event A

i) Determine the probability that a radomly selected resident opposes the casino, P(A)

Probability = number of favorable outcomes / number of possible outcomes

P(A) is given as 60%, which in decimal form is 0.60

ii) Next, determine,the probability that a resident who opposes the casino strongly opposes it, P(B/A):

It is given as 8 out of 10 ⇒ P(B/A) = 8/10

iii) You want the probability of both events, which is the joint probability or intersection: P(A∩B).

So, you can use the definition of conditional probability:

P(B/A) = P(A∩B) / P(A)

iv) From which you can solve for P(A∩B)

P(A∩B) = P(B/A)×P(A) = (8/10)×(0.60) = 0.48

(b) Find the probability that a randomly selected resident who opposes the casino does not strongly oppose the casino.

In this case, you just want the complement of the probability that a radomly selected resident who opposes the casino does strongly oppose the casino, which is 1 - P(B/A) = 1 - 8/10 = 1 - 0.8 = 0.2.

(c) Would it be unusual for a randomly selected resident to oppose the casino and strongly oppose the casino?

You are being asked about the joint probability (PA∩B), which you found in the part (a) and it is 0.48.

That is almost 0.50 or half of the population, so you conclude it is not unusual for a radomly selected resident to oppose the casino and strongly oppose the casino.

8 0

3 years ago

What is the range of the function y = |x |? x ≥ 0 y ≥ 0 all real numbers

Marta_Voda [28]

y ≥ 0 is the range of this absolute value expression because the absolute value means x can never go below 0 and range means the y value, which here is equivalent to |x|

3 0

3 years ago

Read 2 more answers

Adam went on a 54 \text { km}54 km54, start text, space, k, m, end text hike. He divided the distance traveled evenly over 666 d

astra-53 [7]

Answer:

9000 metres

Step-by-step explanation:

He went on a 54 km hike. First, we have to find this distance in metres.

1 km = 1000 m

54 km = 54 * 1000 = 54000 m

He divided the distance evenly over 6 days.