F(x) = 5(x + 1)(x

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Drupady [299]

Answer:

Measure of angle R: Measure of angle S:

42 degrees 90 - 42 = 48

30 degrees 90 - 60 = 30

84 degrees 90 - 84 = 6

Complimentary angles are angles whose sum is 90 degrees

7 0

2 years ago

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An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume

Lynna [10]

Answer:

a) $21-2.58\frac{52}{\sqrt{350}}=13.83$

$21+2.58\frac{52}{\sqrt{350}}=28.17$

So on this case the 99% confidence interval would be given by (13.83;28.17)

b) $ME=2.58\frac{52}{\sqrt{350}}=7.17$

c) $ME=2.58\frac{52}{\sqrt{100}}=13.42$

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part a

$\bar X=21$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=52$ represent the population standard deviation

n=350 represent the sample size

99% confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

Now we have everything in order to replace into formula (1):

$21-2.58\frac{52}{\sqrt{350}}=13.83$

$21+2.58\frac{52}{\sqrt{350}}=28.17$

So on this case the 99% confidence interval would be given by (13.83;28.17)

Part b

The margin of error is given by:

$ME=2.58\frac{52}{\sqrt{350}}=7.17$

Part c

The margin of error is given by:

$ME=2.58\frac{52}{\sqrt{100}}=13.42$

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

6 0

2 years ago

What is the answer pls give because I am stuck

Strike441 [17]

Answer:

P = 14 * 22.5/5 = 63

Step-by-step explanation:

Step1. Find perimeter of small triangle

Step2. Find the ratio between 2 triangles

Step3. Multiply

5 0

3 years ago

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If the mass of your father is 70kg, what is his weight (N)?

Lana71 [14]

Answer:

686.7 N

Step-by-step explanation:

mass the person is 70 kg , which is constant for the entire universe.Although weight of the person is depends upon the gravity of the planet on which he resides

W= mg

m= mass W= wight and g= Acceleration due to gravity of the planet which 9.81 m/sec^2 on earth.

therefore weight W = 70×9.81 = 686.7 N

Hence the weight of the father will be 686.7 N

8 0

3 years ago

1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a

Aleks04 [339]

Answer:

y + 5 = (3/2)(x - 4)

Step-by-step explanation:

The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:

y + 5 = (3/2)(x - 4)

7 0

2 years ago

F(x) = 5(x + 1)(x - 1)