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Vesna [10]
3 years ago
14

Expand and simplify the following expressions : 1.(a-5)(a-7)

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

Answer:

<u>1. (a-5)(a-7) </u>

a2 - 12a + 35

<u>2. (x-2y)(3x+4)</u>

3x2 +4x - 6xy - 8y

<u>3. (4x+3y)(4x-3y)</u>

16x2 - 9y2

<u>4. (6x-7y)(6x+7y)</u>

36x2 - 49y2

(the twos after the letters means squared)

:)

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(-9,-2) and (1,3) <br> is y-3=1/2(x-1)
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Answer:

(1,3) is a solution.

Step-by-step explanation:

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3 years ago
A researcher surveyed 150 high school students and found that 68% played a musical insturment. What would be a reasonable range
maria [59]

Answer:

The reasonable range for the population mean is (61%, 75%).

Step-by-step explanation:

The interval estimate of a population parameter is an interval of values that consist of the values within which the true value of the parameter lies with a certain probability.

The mean of the sampling distribution of sample proportion is, \hat p.

One of the best interval estimate of population proportion is the 95% confidence interval for proportion,

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

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The critical value of <em>z</em> for 95% confidence level is:

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

Compute the 95% confidence interval for proportion as follows:

CI=\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}

     =0.68\pm1.96\sqrt{\frac{0.68(1-0.68)}{150}}\\\\=0.68\pm 0.0747\\\\=(0.6053, 0.7547)\\\\\approx (0.61, 0.75)

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5 0
4 years ago
ava had 30 dollars. she spent half of what she had at the friday night football game and then earned 8 dollars babysitting. how
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30/2+8

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1.80 this is the correct answer

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3 years ago
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