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makvit [3.9K]
3 years ago
12

Solve for x. -ax+4b>9

Mathematics
2 answers:
sergiy2304 [10]3 years ago
8 0
Let's solve for a.<span><span><span><span>(<span>−a</span>)</span><span>(x)</span></span>+<span>4b</span></span>>9</span>Step 1: Add -4b to both sides.  <span>−ax+4b+−4b</span><span>></span><span>9+−4b</span><span><span>                                                                 −<span>ax</span></span>><span><span>−<span>4b</span></span>+9</span></span>
Step 2: Divide both sides by -x.       <span>−ax−x</span><span>></span><span>−4b+9−x</span><span>                                                                  a<<span><span><span>4b</span>−9</span><span>x</span></span></span>
Fed [463]3 years ago
4 0
-ax+4b>9
-ax>9-4b
-x>(9-4b)/a
x<-(9-4b)/a
x<(4b-9)/a

Answer: x<-(9-4b)/a              or            x<(4b-9)/a
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Please show work 7r + 21 = 49r
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Answer:

1/2 = r

Step-by-step explanation:

7r + 21 = 49r

Subtract 7r from each side

7r-7r + 21 = 49r-7r

21 = 42r

Divide each side by 2

21/42 = 42r/42

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Which expression shows how 6 • 45 can be rewritten using the distributive property?. A. 6 • 40 + 6. B. 6 • 4 + 6 • 5. C. 6 • 40
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Option C.
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Several years​ ago, 50​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
galina1969 [7]

Answer:

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

Step-by-step explanation:

We have to see if 50% = 0.5 is part of the confidence interval.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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In which

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For this problem, we have that:

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95% confidence level

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The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 - 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4118

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.4365 + 1.96\sqrt{\frac{0.4365*0.5635}{1095}} = 0.4612

The 95% confidence interval for the proportion of parents that are satisfied with their children's education is (0.4118, 0.4618). 0.5 is not part of the confidence interval, so this represents evidence that​ parents' attitudes toward the quality of education have changed.

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3 years ago
In a recent test, you scored 1.0 standard deviations above the average score attained, and the scores are normally distributed.
sesenic [268]

Answer:

97.75 %

Step-by-step explanation:

You score 1 standard deviation above the mean

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50  +  47.75   = 97.75 %

So you can say that the porcentage of students that scored lower than you is 97.75 %

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3 years ago
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