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Debora [2.8K]
2 years ago
6

PLZ HELP WILL MAKE BRAINLEIST

Mathematics
2 answers:
HACTEHA [7]2 years ago
8 0

Answer:

Step-by-step explanation:

'

Jlenok [28]2 years ago
3 0
(1,2)
The solution is where the lines intersect so you can see they intersect at (1,2)
You might be interested in
What is an equation of the line that passes through the point (-2,-3)(−2,−3) and is parallel to the line 5x+2y=14
Semmy [17]

Answer:

y=5/2x+2

Step-by-step explanation:

rearrage equation: y=5/2x-7

new slope is same: y=5/2x+b

substitue point (-2,-3):

-3=5/2(-2)+b

-3=-5+b

-3+5=b

2=b

5 0
3 years ago
A certain type of aluminum screen has, an average, one flaw in a 100-foot roll. Assume the flaw distribution approximately follo
julsineya [31]

Answer:

a) 0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

b) 0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

c) 0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

Step-by-step explanation:

To solve this question, we need to understand the Poisson and the Binomial distribution.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

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.

(a) Find the probability that a 100-foor roll has at most 2 flaws.

A certain type of aluminum screen has, an average, one flaw in a 100-foot roll, which means that \mu = 1. Only one roll means that the Poisson distribution is used.

This is:

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-1}*1^{0}}{(0)!} = 0.3679

P(X = 1) = \frac{e^{-1}*1^{1}}{(1)!} = 0.3679

P(X = 2) = \frac{e^{-1}*1^{2}}{(2)!} = 0.1839

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.3679 + 0.3679 + 0.1839 = 0.9197

0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.

(b) Suppose that I bought 10 200-foot rolls, find the probability that there are exactly 3 rolls that have no flaws in them.

Two parts.

Probability that a single 200-foot roll has no flaw.

This is P(X = 0), Poisson(single 200-foot roll) when \mu = \frac{200*1}{100} = 2. So

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353

0.1353 probability that a single 200-foot roll has no flaw.

Probability that on 10 200-foot rolls, 3 have no flaws.

Multiple 200-foot rolls means that we use the binomial distribution.

0.1353 probability that a single 200-foot roll has no flaw means that p = 0.1353

10 200-foot rolls means that n = 10

We want P(X = 3). So

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

P(X = 3) = C_{10,3}.(0.1353)^{3}.(0.8647)^{7} = 0.1074

0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.

(c) What is the probability that the 15th roll he inspected was the 3rd one that have no flaws in it.

0.1353 probability that a single 200-foot roll has no flaw means that p = 0.1353

2 with flaws in the first 14, which is P(X = 2) when n = 14

The 15th has no flaw, with probability of 0.1353. So

P = 0.1353*P(X = 2) = 0.1353*(C_{14,2}.(0.1353)^{2}.(0.8647)^{12}) = 0.1353*0.2911 = 0.0394

0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it

3 0
3 years ago
What is the side length,s,of the square?enter your answer in the box
AlladinOne [14]
B a perfect cube because 5 cubed is 125
7 0
3 years ago
What is the Circumference of this circle
Gelneren [198K]

Answer:

81.68 is the correct answer. Hoped this helped.

6 0
3 years ago
Factor 28 + 56t + 28w to identify the equivalent expressions. Choose 2 answers
ra1l [238]

Answer:

28+56t+28w=14(2+4t+2w)\\\\28+56t+28w=28(1+2t+w)

Step-by-step explanation:

28+56t+28w=14\times 2+14\times 4t+14\times 2w\\\\14\ is\ common\ in\ every\ term\\\\28+56t+28w=14(2+4t+2w).........................................(1)\\\\Now\ take\ 2+4t+2w\\\\2+4t+2w=2+2\times 2t+2w\\\\2\ is\ common\\\\2+4t+2w=2(1+2t+1)\\\\Now\ substitute\ this\ in\ equation\ 1\\\\28+56t+28w=14\times 2(1+2t+w)\\\\28+56t+28w==28(1+2t+w)

3 0
3 years ago
Read 2 more answers
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