Solve for x 3(2x-1)(x+5)=0

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

Solve the following application problem. Be sure to show your system of equations and the steps to solve the problem.

ololo11 [35]

Answer:

boat: 6 mph
current: 2 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

speed = distance/time

For boat speed b and current speed c, the speed downstream is ...

b +c = (16 mi)/(2 h) = 8 mi/h

The speed upstream is ...

b -c = (16 mi)/(4 h) = 4 mi/h

Adding the two equations eliminates the c term:

2b = 12 mi/h

b = 6 mi/h . . . . . divide by 2

Solving the second equation for c, we get ...

c = b -4 mi/h = 6 mi/h -4 mi/h = 2 mi/h

The speed of the boat in still water is 6 mi/h; the current is 2 mi/h.

6 0

3 years ago

Please help me thank you so much have a great day and also be nice to others and especially yourself

ioda

8 inches because 80/10=8

6 0

3 years ago

Read 2 more answers

If a number is an element of the set of real

kvasek [131]

Answer:

Option (A)

Step-by-step explanation:

A set of real numbers is a combination of both rational and irrational numbers.

But the elements in the sets of rational and irrational numbers will be different.

In short, rational and irrational number sets are the two subsets of real numbers.

Hence, the number is an element of either the set of rational numbers or the set of irrational numbers.

Option (A) is the correct option.

3 0

3 years ago

5. A silo was constructed at a farm in the shape of a right circular cylinder. It was built with an

MakcuM [25]

Answer: 112 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V) : π x radius ² x height

Replacing with the values given :

842,411 = π x r ² x 85

Solving for r:

842,411 / (π x 85) = r²

3,154.67 = r²

√3,154.67 = r

56.16 m = r

Finally, we have to multiply the radius by 2 to obtain the diameter:

56.16 x 2 = 112 meters

Feel free to ask for more if needed or if you did not understand something

8 0

3 years ago