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stealth61 [152]
3 years ago
10

graph the ordered pairs on the coordinate plane. use the point A(3,2) B(-5,2) C(-1,-4) D(4,3) E(-4,0) F(2,-4)

Mathematics
1 answer:
Sindrei [870]3 years ago
3 0
<h2>Explanation:</h2><h2></h2>

In this exercise we have the following points:

A(3,2) \\ \\ B(-5,2) \\ \\ C(-1,-4) \\ \\  D(4,3) \\ \\  E(-4,0) \\ \\  F(2,-4)

So we need to graph each point on the coordinate plane. Recall that the coordinate plane is formed by two perpendicular axes where the horizontal axis is called x-axis and the vertical axis is called the y-axis. So for each point, the first coordinate is called the x-coordinate and the second one is called the y-coordinate. By knowing this, we should use graphing tool in order to plot them. The graph is shown below.

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(x − 3)(2x2 − 5x + 1)
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2x3 − 11x2 + 16x − 3

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A reflection over the <em>y</em>-axis.

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To the nearest hundredth, what is the value of x?<br><br> 42.15<br> 43.11<br> 52.07<br> 54.26
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52.07

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sin of an angle is the opposite side over the hypotenuse

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3 0
3 years ago
Suppose 88% of all batteries from a supplier have acceptable voltages. A certain type of flashlight requires two D batteries, an
ira [324]

Answer:

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

Step-by-step explanation:

For each flashlight, there are only two possible outcomes. Either it works, or it does not. Flashlights are independent. This means that 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.

Flashlight works correctly if both its batteries have acceptable voltages:

Each battery has an 88% = 0.88 probability of working correctly(having acceptable voltage), so the probability of the flashlight working correctly is given by:

p = (0.88)^2 = 0.7744

10 flashlights.

This means that n = 10

What is the probability that at least 9 of the flashlights function properly?

This is

P(X \geq 9) = P(X = 9) + P(X = 10)

In which

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

P(X = 9) = C_{10,9}(0.7744)^{9}.(0.2256)^{1} = 0.2260

P(X = 10) = C_{10,10}(0.7744)^{10}.(0.2256)^{0} = 0.0776

P(X \geq 9) = P(X = 9) + P(X = 10) = 0.2260 + 0.0776 = 0.3036

0.3036 = 30.36% probability that at least 9 of the flashlights function properly.

6 0
3 years ago
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