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dexar [7]
3 years ago
12

The probability that a house in an urban area will be burglarized is 6​%. if 23 houses are randomly​ selected, what is the proba

bility that none of the houses will be​ burglarized?
Mathematics
1 answer:
Marat540 [252]3 years ago
6 0
This is binomial probability with n=23 and p=0.06.  We want P(0 houses burglarized).  Using a calculator,

binompdf(23,0.06,0) = 0.241 (answer)
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The Bobcats had a win-loss record of 41-23 before their star player, Melissa, got injured. Melissa didn’t play in any more games
MrRissso [65]

Answer:

The win percentage decreased by 10%

Step-by-step explanation:

First you need to fin the total games played right before Melissa got Injured

41+23=64

Then you need to find the win percentage by making a fraction of wins over total games

wins/total games = 41/64 = 64%

Then you need to find the number of games played after Melissa got injured

54-41 = 13 wins

34-23 = 11 losses

13+11 = 24 total games played without Melissa

You find that win percentage similarly to the first time

wins/total games = 13/24 = 54%

Then you find the difference in the percentages and there you have it!!

64% - 54% = 10%

It decreased as well therefore the answer is...

It decreased by 10%

3 0
3 years ago
Write an equation of the line that passes through the point (-4,-1) and is parallel and perpendicular to the line 2x+7y=14
Darina [25.2K]

Answer: Parallel: y=-2/7x-2 1/7 Perpendicular: y=7/2x+13

Step-by-step explanation:

2x+7y=14

Subtract 2x from both sides.

7y=-2x+14

Divide both sides by 7 to isolate y.

y=-2/7x+2

Parallel:

Plug in x and y with same slope as the original.

-1=-2/7(-4)+b

Solve for b:

-1=8/7+b

-2 1/7=b

y=-2/7x-2 1/7

Perpendicular:

Plug in x and y with the negative inverse of the original slope.

-1=7/2(-4)+b

Solve for b.

-1=-28/2+b

-1=-14+b

13=b

y=7/2x+13

3 0
3 years ago
Samir is an expert marksman. When he takes aim at a particular target on the shooting range, there is a 0.950.950, point, 95 pro
Vinvika [58]

Answer:

40.1% probability that he will miss at least one of them

Step-by-step explanation:

For each target, there are only two possible outcomes. Either he hits it, or he does not. The probability of hitting a target is independent of other targets. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

0.95 probaiblity of hitting a target

This means that p = 0.95

10 targets

This means that n = 10

What is the probability that he will miss at least one of them?

Either he hits all the targets, or he misses at least one of them. The sum of the probabilities of these events is decimal 1. So

P(X = 10) + P(X < 10) = 1

We want P(X < 10). So

P(X < 10) = 1 - P(X = 10)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{10,10}.(0.95)^{10}.(0.05)^{0} = 0.5987

P(X < 10) = 1 - P(X = 10) = 1 - 0.5987 = 0.401

40.1% probability that he will miss at least one of them

7 0
3 years ago
What is the slope of the line with the equation 3y+5x=4
marta [7]

I think none of these are right. It's Y=-5/3x +4/3

7 0
3 years ago
Read 2 more answers
Three coins are tossed.<br> What is the probability that<br> all three will land tails up?
Angelina_Jolie [31]

Answer: 1/4

Step-by-step explanation:

5 0
3 years ago
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