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siniylev [52]
2 years ago
8

Hurry please!!!!!!!!!!!!!!!

Mathematics
1 answer:
Neko [114]2 years ago
3 0
I think it’s letter c
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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 <em>probability that a radomly selected resident opposes the casino</em>, P(A)

Probability = number of favorable outcomes / number of possible outcomes

  • P(A) is <em>given as 60%</em>, which in decimal form is 0.60

ii) Next, determine,the <em>probability that a resident who opposes the casino strongly opposes it</em>, 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 <em>a radomly selected resident who opposes the casino does strongly oppose the casino</em>, 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
(20 x 40) x 14 = ?
fredd [130]

To solve this problem, we must use the order of operations outlined by PEMDAS, which tells us that we should simplify or compute parentheses first, then exponents, multiplication, division, addition, and finally subtraction.

Using this method, we have to perform the multiplication inside the parentheses first.

(20 * 40) * 14

800 * 14

Finally, we must perform the final operation to simplify this expression, which is multiplication.

800 * 14 = 11200

Therefore, your final answer is 11200.

Hope this helps!

3 0
3 years ago
Read 2 more answers
The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousand
velikii [3]

Answer:

h(x) = 57(0.8)^x

Step-by-step explanation:

Given

f(x) = 32(0.8)^x

g(x) = 25(0.8)^x

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

h(x) = f(x) + g(x)

h(x) = 32(0.8)^x + 25(0.8)^x

Factorize

h(x) = (32 + 25)(0.8)^x

h(x) = 57(0.8)^x

6 0
3 years ago
What is the measure of angle A?
bogdanovich [222]

Answer:

actual answer is 77.32 !

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
If it take 10minutes to walk 1/2 of an mile how long will it take to walk how long will it take to walk 1 1/2 of an mile
Fantom [35]

Answer:

About 30 min.

Step-by-step explanation:

Since it takes 10 min to walk a half of mile, it will take 20 min to walk a whole mile.

Since we will be walking one and a half miles, it should take about 30 minutes.

Hope this helps.

6 0
3 years ago
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