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3 years ago

Answer question 1 and 2 on the champions challenge? it really matters

Mathematics

1 answer:

babunello [35]3 years ago

8 0

If length = a, width = b
if double both a and b will double its area?
area of a rectangle is ab
if double both a and b then the area is (2a)(2b) = 4ab (then peter is wrong because the area will be 4 times not double)

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A sociologist was investigating the ages of grandparents of high school students. From a random sample of 10 high school student

umka2103 [35]

Answer:

$(69.8-71.6) -2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= -8.908$

$(69.8-71.6) +2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= 5.308$

So then the confidence interval for the difference of means is given by:

$-8.908 \leq \mu_M -\mu_F \leq 5.308$

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".

$\bar X_{M}= 69.8$ represent the mean for the age of grandmother

$\bar X_{F}= 71.6$ represent the mean for the age of grandfather

$s_{M}= 8.38$ represent the sample deviation for the age of grandmother

$s_{F}= 6.65$ represent the sample deviation for the age of grandfather

$n_M = n_F= 10$

Solution to the problem

For this case the confidence interval is given by:

$(\bar X_{M} -\bar X_F) \pm t_{\alpha/2} \sqrt{\frac{s^2_M}{n_M} +\frac{s^2_F}{n_F}}$

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n_M +n_F-2=10+10-2=18$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,18)".And we see that $t_{\alpha/2}=2.101$

And replacing we got:

$(69.8-71.6) -2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= -8.908$

$(69.8-71.6) +2.101 \sqrt{\frac{8.38^2}{10} +\frac{6.65^2}{10}}= 5.308$

So then the confidence interval for the difference of means is given by:

$-8.908 \leq \mu_M -\mu_F \leq 5.308$

5 0

3 years ago

I don’t know what the anwsered would be i don’t understand this module

LekaFEV [45]

Answer:25,000(0.15)^x

Step-by-step explanation:

I think this is the answer because there are 25,000 gray wolf in the world and they are expected to grow by 15%. 15% is .15. So those two numbers multiplied, to the x exponent should give you the answer of how large the wolf population is expected to be.

8 0

3 years ago

HELP ME PLEASE What is the slope of a line that passes through the points shown in this table?

tatuchka [14]

Answer:

The slope of the line is 3 ---> m = 3

Step-by-step explanation:

To find the slope of the line, you can choose any two given points from the table. Let's do (1, 3) and (2, 6)

Slope formula:

m = (y2 - y1) / (x2 - x1)

m = (6 - 3) / (2 - 1)

m = 3 / 1

m = 3

3 0

3 years ago

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Here is a sequence

Rina8888 [55]

Answer:

5120

Step-by-step explanation:

....80,160,320.... 2560

You are multiplying by 2 each time.

4 0

3 years ago

Find the volume of the following figure

Nimfa-mama [501]

Answer:

there is no picture?

Step-by-step explanation:

8 0

2 years ago

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