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tekilochka [14]
3 years ago
5

An integer is chosen between 0 and 100. What is the probability that it is divisible by 7?

Mathematics
1 answer:
IgorC [24]3 years ago
8 0
Assuming 0 and 100 are included in the possible choices:

There are \left\lfloor\dfrac{101}7\right\rfloor=14 multiples of 7 between 0 and 100, so there is a \dfrac{14}{101}\approx0.1386 probability of choosing a multiple of 7.
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How much greater is 6/7 then 5/14
iVinArrow [24]
12/14 more then 5/14 in 2.4 times

7 0
3 years ago
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
How many metres are there in 200cm
Arturiano [62]
1m=100cm\Rightarrow1cm=0.01m\\\\200cm=200\times0.01m=2m
5 0
3 years ago
Read 2 more answers
9.
alex41 [277]

Answer:  B. c = 16d + 18

I'm gonna go with c = 16d + 18

Step-by-step explanation:  letter B or letter D

Answer

5.0/5

6

Brainly User

Days : 1    2    3    4 →→→→→→D(X axis)

Rent a Truck:  34   50  66    82→→→→→→R(Y axis)

As  you can observe from number of Days and Amount to rent a truck , if you rent for a day the price being $ 34 and with increase in Day the rent increases by $ 16.

Plotting the point on graph , found that these points are collinear.

So, we can Represent this relation between days and Rent in equation of two variables representing a line.

Two point formula of line:

 →→Equation of line passing through two points  

So , line representing Days and rent is :

So, the rule representing Days and Rent is:  16 D - R + 18=0

...............................................................................................................................................

The answer is 18

If you subtract 47-29=18

Then if you subtract 47-65=18 the pattern is to add 18

7 0
3 years ago
Alonzo needs 5/6 of a yard of fabric to cover a chair. He plans to cover 8 chairs. What is the least amount of fabric he will ne
stepan [7]
You have to do 5/6 of 8
first 8÷6=1.3 (or remainder 3)
1.3×5=6.5
So that means Alonzo will need 6.5m at least amount of fabric.
Hope this helped!   :)
6 0
3 years ago
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