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grigory [225]
3 years ago
13

56 3/10 multiply 5 1/10 divide 3 3/10

Mathematics
1 answer:
zysi [14]3 years ago
7 0

Answer:

55.9999845

Step-by-step explanation:

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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
What are 3 consecutive integers with a sum of 81?
kicyunya [14]
The answer is 26, 27, and 28
6 0
3 years ago
Si -x+y+z=75, entonces -(x+3)+(y-5)+(z-6)=
jenyasd209 [6]

Answer:

67

Step-by-step explanation:

● -(x + 3) + (y - 5) + (z - 6)

● -x - 3 + y - 5 + z - 6

● (-x + y + z) + (3 -5 -6)

● 75 + 3 - 11

● 78 - 11

● 67

8 0
2 years ago
What does ASA stand for? how is it used?
Westkost [7]

Answer:ASA stands for (angle-side-angle)

Step-by-step explanation: According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

4 0
1 year ago
Read 2 more answers
Sale! 20% OFF
Marat540 [252]

Answer:

800$

Step-by-step explanation:

640/80=8

8=1% so

8x100=800

100%=800

5 0
2 years ago
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