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Finger [1]
3 years ago
15

Need math help please!!

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0
Just by looking at it, 2 seems to be the correct answer. I mean if you think about it, when the triangle is split in two smaller triangles, side LN is longer than LP so that means x needs to be a small number. I could either be 2 or 1. Well if you look at the big picture, side LM is longer than LN so it’s gonna need to be bigger. If you say x=1 then you are saying 2(1) +4 = 6 (therefore LM is 6) but if you say x=2 then you are saying 2(2) +4 = 8 which makes more sense


If x=2 then you can use the Pythagorean’s theorem

a2 + b2 = c2
4^2 + b^2 = 5^2
16 + b^2 = 25
25-16= 9
b^2= 9
b= 3


Now that we know what NP is we can do Pythagorean’s theorem to figure out what side LP is (we already know it but you can do it again to check lol)

So the answer is 2
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Answer:

99% Confidence interval: (0.185,0.375)                                                  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 150

Number of cars that have faulty catalytic converters, x = 42

\hat{p} = \dfrac{x}{n} = \dfrac{42}{150} = 0.28

99% Confidence interval:

\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.58

Putting the values, we get:

0.28\pm 2.58(\sqrt{\frac{0.28(1-0.28)}{150}}) = 0.28\pm 0.095\\\\=(0.185,0.375)

The​ 99% confidence interval for the true proportion of new cars with faulty catalytic converters is​ (0.185,0.375)

8 0
3 years ago
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Answer:

Step-by-step explanation:

Upon factoring all terms we are left with the product of

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Answer:

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Step-by-step explanation:

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Here x = a + b and y = c , then

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Answer:

The dimensions of the rectangle would be a Length of 7 units and a Height of 6 units, or C. 6 units and D. 7 units

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    HEIGHT - of the rectangle is the distance between A and B ( or C,D).  The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of A,B ) + dy squared (distance in y-coordinates of A,B)

AB = \sqrt{7.2x^{2}+0.2y^{2}  } = 7.2

    WIDTH - is the distance between B and C (or A,D). The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of B,C) + dy squared (distance in y-coordinates of B,C)

BC = \sqrt{0.6x^{2} +6.3y^{2} }  = 6.3

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BD = \sqrt{7.1x^{2} + 6.3y^{2}  } = 9.5

6 0
3 years ago
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