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Alex_Xolod [135]
3 years ago
9

Which graph models the equation -2x + 4y = -8?

Mathematics
1 answer:
lions [1.4K]3 years ago
8 0
The graphs for this are very small, but I think the one that represents the solution is the third one, because with the x being 4 and the y being 0, that would make the point (4, 0) and satisfy the equation. With x being 0 and y being -2, the other point would be (0, -2). The graphs are too small to read, but whichever graph intersects over those two points I named is the answer.
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Which of the following inequalities define a region that contains all of Quadrant 3?
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Refer to the diagram shown below.

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4 years ago
1. A luge race is very dangerous, and a crash can cause serious injuries. The league requires anyone who has a crash to have a t
antiseptic1488 [7]

Answer:

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

Step-by-step explanation:

For each race, there are only two possible outcomes. Either the person has a crash, or the person does not. The probability of having a crash during a race is independent of whether there was a crash in any other race. This means that the binomial probability distribution is used 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.

A certain performer has an independent .04 probability of a crash in each race.

This means that p = 0.04

a) What is the probability she will have her first crash within the first 30 races she runs this season

This is:

P(X \geq 1) = 1 - P(X = 0)

When n = 30

We have that:

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

P(X = 0) = C_{30,0}.(0.04)^{0}.(0.96)^{30} = 0.2939

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.2939 = 0.7061

0.7061 = 70.61% probability she will have her first crash within the first 30 races she runs this season

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3 years ago
Write the log equation as an exponential equation. you do not need to solve for x.
vovikov84 [41]

Answer:

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using the natural log (e), we were able to give the power of 5 to 2x and then take it out from the parantheses

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