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4 years ago

-2 (x-5)=-5x-2 solve the equation.

Mathematics

1 answer:

Vladimir79 [104]4 years ago

5 0

-2x+10=-5x-2
-2x+5x=-2-10
3x=-12
x=-12/3
x=-4

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There are 36 students on the bus. There are 2 times as many girls than boys on the bus. On your paper, write a system of liner e

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4 years ago

In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence

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Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

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

The critical value of z for 95% confidence level is,

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

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

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3 years ago

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The money can be withdrawn from the account every two months for the next 6 years is $20, 625, 000

<h3>What is compound interest?</h3>

The formula for compound interest is given as;

$A = P ( 1 + \frac{r}{n} )^n^t$

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r = rate = 4. 5%

n = 2 months

t = 6 years

A = $25, 000 ( 1 + \frac{4. 5}{2} )^2 ^*^6$

A = $25, 000(1 + 0. 75)^1^2$

A = $25, 000( 825. 00)$

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Learn more about compound interest here:

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