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Korvikt [17]
2 years ago
5

Suppose that a person's birthday is a uniformly random choice from the 365 days of a year (leap years are ignored), and one pers

on's birthday is independent of the birthdays of other people. alex, betty and conlin are comparing birthdays. define these three events: a = {alex and betty have the same birthday} b = {betty and conlin have the same birthday} c = {conlin and alex have the same birthday} are these events independent ?
Mathematics
1 answer:
maxonik [38]2 years ago
3 0
P ( A ∩ B ∩ C) = 1/365
P(A) = 1/365, P(B)= 1/365, P(C) = 365
If events A,B and C are independed then P (A ∩ B ∩ C) = P (A) P(B) P(C) must be true,
From the probabilities we have 
1/365≠ 1/365 * 1/365 * 1/365
Thus, events A,B, C are not independent.

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Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x+10y=90
Delicious77 [7]

Answer:

y=-6/5+9

Step-by-step explanation:

your going ro put it in y=mx+b format

so it would be ur equation 12x+10y=90

subtract 12x from both sides and get 10y=-12x+90

u have to get 10 by itself so you divide 10 to everything and get y=-12/10x+90/10

you have to simplify so get y=-6/5+9

4 0
2 years ago
Read 2 more answers
An engineering school reports that 53% of its students were male (M), 35% of its students were between the ages of 18 and 20 (A)
erik [133]

Answer: Our required probability is 0.65.

Step-by-step explanation:

Since we have given that

                      18-20                  Not 18-20           Total

Male                0.23                    0.35                 0.58

Female            0.16                     0.26                0.42

Total                0.39                    0.61                   1

P(female or between 18-20) = P(female) + P(18-20) - P(Female and 18-20)

P(female or between 18-20) =  0.42+0.39-0.16

P(female or between 18-20) = 0.65

Hence, our required probability is 0.65.

3 0
2 years ago
All of the following are ways to write 25 percent of N Except. A. (0.25)N B. 25/100N C. 1/4 N D. 25N
anygoal [31]
Except (D) 
because it's 25N not 0.25N
6 0
2 years ago
Simplify the expression insert √96/8
Sever21 [200]
The answer is 2√3
I hope this answers your question :)
6 0
2 years ago
Read 2 more answers
Which of the following estimates at a 95% confidence level most likely comes from a small sample?
dusya [7]
<span>The <u>correct answer</u> is:

A) 60% ± 18%.

Explanation:

In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.

First we <u>find the value of z</u>:

We want a 95% confidence level; 95% = 95/100 = 0.95.

To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.

Divide by 2:
0.05/2 = 0.025.

Subtract from 1 again:
1-0.025 = 0.975.

Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.

Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.

This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
7 0
2 years ago
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