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Naya [18.7K]
3 years ago
8

M^3+9m Factoring. Please help

Mathematics
2 answers:
Verdich [7]3 years ago
7 0
M^3 + 9m =

There is a common factor of m.

= m(m^2 + 9)

That is the complete factorization.
m^2 + 9 is a sum of two squares which is not factorable.

Answer: m(m^2 + 9)
shusha [124]3 years ago
7 0
M^3 + 9m 

Factor:

M^3 + 9m 

= m(m^2 + 9)

Answer:
m(m^2 + 9)




Hope that helps!!!!
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Given the conditional statement c→~b, which of the following is the converse
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To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.

Step-by-step explanation:

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Use the drop-down menus to choose steps in order to correctly solve 3+4d−14=15−5d−4d for d.
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8 0
3 years ago
Read 2 more answers
Theresa Morgan, a chemist, has a 30% hydrochloric acid solution and a 50% hydrochloric acid solution. How many liters of each sh
Bogdan [553]
Let x represent the number of liters of 50% acid Theresa puts into the mix. The the number of liters of 30% acid will be (420-x). The total amount of acid in the final solution will be ...
  0.50x + 0.30(420-x) = 0.45(420)
  0.20x + 126 = 189 . . . . . . . . . . . . . . . simplify
  0.20x = 63 . . . . . . . . . . . . . . . . . . . . . subtract 126
  x = 63/0.20 = 315 . . . . . . . . . . . . . . . liters of 50% solution
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7 0
3 years ago
I need help on B and C. Not sure how I can solve those. Can someone please help me out here? Thank you for your help!
Valentin [98]

Nice job with part A on getting those correct answers.

====================================================

Part B

  • mu = mean = 43
  • sigma = standard deviation = 3

Let's calculate the z score for the raw score x = 37

z = (x - mu)/sigma

z = (37 - 43)/3

z = -6/3

z = -2

A negative z score tells us we're below the mean. Specifically, we are exactly 2 standard deviations under the mean.

If you repeat those steps for x = 46 (not changing mu or sigma), then you should get z = 1. So we're now 1 standard deviation above the mean.

Ultimately, we want to know the area under the standard normal curve (aka z curve) from z = -2 to z = 1.

Refer to the chart below which is a breakdown of the Empirical Rule. The pink areas are within 1 standard deviation of the mean. We have two regions taking up roughly 34% of the full area under the curve, so they combine to 34+34 = 68%

Then we add on another 13.5% which is the blue area on the left (between z = -2 and z = -1)

So 13.5+68 = 81.5% of the area under the curve is between z = -2 and z = 1.

<h3>Answer: 81.5</h3>

Note: the percent sign is already taken care of for us, so there's no need to type it in. But the answer above of course means 81.5% and that answer is approximate.

====================================================

Part C

Let's find the z score for x = 34. The values of mu and sigma are the same as before.

z = (x - mu)/sigma

z = (34-43)/3

z = -9/3

z = -3

So computing P(X > 34) is the same as P(Z > -3)

Notice how adding up all of the values in the chart mentioned gets us:

2.35+13.5+34+34+13.5+2.35 = 99.7

which means 99.7% of the distribution is within 3 standard deviations of the mean. The remaining 100% - 99.7% = 0.3% is the combined area of both tails. So each tail is (0.3%)/2 = 0.15%

In short, 0.15% of the area under the curve is to the left of z = -3

Therefore, 100% - 0.15% = 99.85% of the widgets are going to have z values larger than -3, which in turn means they have values larger than 34.

<h3>Answer: 99.85</h3>

Again you don't have to worry about the percent sign. Like before, the answer is approximate.

5 0
3 years ago
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