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Len [333]
3 years ago
14

A polynomial of degree at least 3 where all the zeros are positive whole numbers

Mathematics
1 answer:
deff fn [24]3 years ago
4 0
Answer:

This is one of many possible answers.

(x -1)(x-2)(x-3)

Explanation:

The zeros are x = 1, x = 2, x = 3. This polynomial has a degree of 3.
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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
I NEED HELP ILL GIVE BRAINLEST
IRISSAK [1]
The last 2 options are correct
5 0
3 years ago
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Diameter =9.4mm what is the area?​
Likurg_2 [28]

Answer:

here

Step-by-step explanation:

0.10757 square inches (in²)

7 0
3 years ago
A car drives 195 miles in 3 hours and 15 minutes. what is the average speed of the car?
g100num [7]
1 mpm or 0.0166666666 repeating mph
5 0
3 years ago
1. (3x3 + 3x2 - 4x + 5) + (x2 – 2x + x 4) |
KonstantinChe [14]

Answer:

x^{2} + 3x^{3} + 4x^{2} - 6x + 5

Step-by-step explanation:

first remove the parentheses

then add the like terms

lastly reorder the terms

6 0
3 years ago
Read 2 more answers
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