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4 years ago

Which graph shows a positive correlation?

Mathematics

2 answers:

dem82 [27]4 years ago

4 0

I think it’s 4rd graph because it’s increasing constantly

lesya [120]4 years ago

4 0

I think the answer is b because you can easily tell it’s increasing

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If a rotation takes triangle CAT to C'A'T', what is C'T'?

xxMikexx [17]

I think it is negative 1 I’m not sure tho

7 0

3 years ago

Is 10(x-2)=5(2x-4) infinitely many or no solution

Pani-rosa [81]

They cancel out, so you can decide from this 10x-20=10x-20.
Hope this answer will help!

5 0

4 years ago

9. A large electronic office product contains 2000 electronic components. Assume that the probability that each component operat

Marysya12 [62]

Answer:

97.10% probability that five or more of the original 2000 components fail during the useful life of the product.

Step-by-step explanation:

For each component, there are only two possible outcomes. Either it works correctly, or it does not. The probability of a component falling is independent from other components. 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.

In this problem we have that:

$n = 2000, p = 1-0.995 = 0.005$

Approximate the probability that five or more of the original 2000 components fail during the useful life of the product.

We know that either less than five compoenents fail, or at least five do. The sum of the probabilities of these events is decimal 1. So

$P(X < 5) + P(X \geq 5) = 1$

We want $P(X \geq 5)$

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

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

$P(X = 0) = C_{2000,0}.(0.005)^{0}.(0.995)^{2000} = 0.000044$

$P(X = 1) = C_{2000,1}.(0.005)^{1}.(0.995)^{1999} = 0.000445$

$P(X = 2) = C_{2000,2}.(0.005)^{2}.(0.995)^{1998} = 0.002235$

$P(X = 3) = C_{2000,3}.(0.005)^{3}.(0.995)^{1997} = 0.007480$

$P(X = 4) = C_{2000,4}.(0.005)^{4}.(0.995)^{1996} = 0.018765$

$P(X < 5) = P(X = 0) + `P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000044 + 0.000445 + 0.002235 + 0.007480 + 0.018765 = 0.0290$

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.0290 = 0.9710$

97.10% probability that five or more of the original 2000 components fail during the useful life of the product.

4 0

3 years ago

What are the divisible number(s) for 430?

ollegr [7]

Answer:

The numbers that 430 is divisible by are 1, 2, 5, 10, 43, 86, 215, and 430.

7 0

3 years ago

Read 2 more answers

Task 6

Doss [256]

Answer:

His total earnings for sales of $948 is $425.84

Step-by-step explanation:

Let the percentage of his commission be a percentage with its value represented as x and b be his base salary , y as his total earnings

So we have;

y = x% of sales + base salary

for 849 sales and 417.92 , we have

417.92 = 8.49x + b •••••••(i)

for 1011 sales and 430.88 servings

430.88 = 10.11x + b ••••••(ii)

Subtract i from ii

12.96 = 1.62x

x = 12.96/1.62

x = 8

To get b, we substitute

430.88 = 10.11(8) + b

b = 430.88 - 10.11(8) = 350

Commission is 8% , base earnings is $350

So for total sales of 948;

y = 8% of 948 + 350

y = $425.84

5 0

3 years ago