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MakcuM [25]
4 years ago
9

A number is picked randomly in the range [2,8]. If past selection indicates that the numbers picked are less than 5, what is the

probability that a number picked will be (a) less than 4 (b) greater than 4. What is the probability that the number picked is 4.5
Mathematics
1 answer:
yawa3891 [41]4 years ago
7 0

Answer:

a) P = 2/7

b) P = 4/7

c) P = 1/7

Step-by-step explanation:

In the range of [2,8], we have the following integers which are: 2, 3, 4, 5, 6, 7, 8. So this is a total of 7 integers.

a) We look for the probability that the numbers are less than 4, so we conclude that there are possible numbers 2 and 3 out of possible 7, so the required probability is equal to P = 2/7.

b) We look for the probability that the numbers are greater than 4, so we conclude that there are possible numbers 5, 6, 7, 8 out of possible 7, so the required probability is equal to P = 4/7.

c) Based on the previous two examples, we conclude that the required probability is P = 2/7· 1/2=1/7.

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Aidan has $150. He wants to buy a book that is
olga_2 [115]

Answer:yes he has enough

Step-by-step explanation:

Markdown: 25% of 180. 25%x180 0.25x180=$45. The markdown is $45 sale price: 180-45=$135. Sales tax:8.25%x135 0.0825x135=11.1375(not rounded)=11.40(rounded) Add: 135+11.1375 to get 146.1375(not rounded)= 146.40(rounded)

8 0
3 years ago
A random sample of 384 people in a mid-sized city (city one) revealed 112 individuals who worked at more than one job. A second
Svetlanka [38]

Answer:

99% confidence interval is:

(0.00278 < P1 - P2< 0.15921)

Step-by-step explanation:

For calculating a confidence intervale for the difference between the proportions of workers in the two cities, we calculate the following:

[(p_{1} - p_{2}) \pm z_{\alpha/2} \sqrt{\frac{p_{1}(1-p_{1})}{n_{1}} + \frac{p_{2}(1-p_{2})}{n_{2}} }

             Where  p_{1} : proportion sample of individuals who worked      

                                                     at more than one job in the city one

                           n_{1}: Number of respondents in the city one

                           p_{1} : proportion sample of individuals who worked      

                                                     at more than one job in the city two

                           n_{1}: Number of respondents in the city two

Then

α = 0.01 and α/2 = 0.005

and z_{\alpha/2} = 2.575

p_{1} = \frac{112}{384} = 0.2916

p_{2} = \frac{91}{432} = 0.2106

n_{1}= 384  and n_{2}= 432

The confidence interval is:

[(0.2916 - 0.2106) \pm 2.575 \sqrt{\frac{0.2916(1-0.2916)}{384} + \frac{0.2106(1-0.2106)}{432} }

(0.00278 < P1 - P2< 0.15921)

5 0
3 years ago
Someone please help me
pentagon [3]
What happened? How can I help u?
8 0
3 years ago
Read 2 more answers
Write an equation in standard form for a line that passes through (2,2) and (0, -3).
Alecsey [184]
First find the slope:
(-3-2)/(0-2)=-5/-2=5/2

So then y=5/2x+b

When x=0, then the y-coordinate with that is the y-intercept.

So the answer is y=5/2x-3.
7 0
4 years ago
help pleaseeee, i managed to get the right answer but the way i did it doesnt feel right, can somebody please answer so i can se
irga5000 [103]

Answer:

≈ 4,22 m

Step-by-step explanation:

volume = 20000L = 20000 dm^3 = 20 m^3

diameter = 2,4m

the volume of a cilinder is π * r^2 * h (height)

20 = π * 1,2^2 * h

h = \frac{20}{\pi * 1,44} \\ ≈ 4,42 m

4 0
2 years ago
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