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3 years ago

CAN SOMEONE PLEASEEE HELP SIMPLIFY THESE TWO EXPONENT PROBLEMS I HAVE NO CLUE HOW

Mathematics

1 answer:

Alecsey [184]3 years ago

6 0

Answer:

20. $-\frac{y^{12} }{9x^{4} }$

Step-by-step explanation:

21. $3 x^{2} y^{2}$

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A random sample of 9 wheels of cheese yielded the following weights in pounds has a sample mean of 20.90 and a sample variance o

Ronch [10]

Answer:

$2.002 \leq \sigma^2 \leq 11.365$

Step-by-step explanation:

1) Data given and notation

s represent the sample standard deviation

$s^2$ represent the sample variance

n=9 the sample size

Confidence=90% or 0.90

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 mean or variance 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.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case we need to find the sample standard deviation with the following formula:

$s=sqrt{\frac{\sum_{i=1}^9 (x_i -\bar x)^2}{n-1}}
The sample variance given was [tex]s^2=3.45$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=9-1=8$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.

The excel commands would be: "=CHISQ.INV(0.05,8)" "=CHISQ.INV(0.95,8)". so for this case the critical values are:

$\chi^2_{\alpha/2}=15.507$

$\chi^2_{1- \alpha/2}=2.732$

And replacing into the formula for the interval we got:

$\frac{(9)(3.45)}{15.507} \leq \sigma \frac{(9)(3.45)}{2.732}$

$2.002 \leq \sigma^2 \leq 11.365$

7 0

3 years ago

What is the square root of 5

kirill115 [55]

2.2360679775 is the square root of 5.

5 0

3 years ago

Read 2 more answers

Agata [3.3K]

Answer:

75 cheeseburgers and 86 french fries

Step-by-step explanation:

This is a guessing math problem so do a random amount and change amount of items to get closer to the answer

81 x 3 = $243

80 x 1.50 = $120

243 + 120 = 363 -354 = 9 dollars

we need nine less dollars so 9/1.5 = 6 so six more fries

86 x 1.5 = 129

75 x 3 = 225

129 + 225 = $354

Please mark brainliest

4 0

3 years ago

A survey asked people to name their favorite season. The results of the survey showed that 34% said spring and 15% said fall. Wh

max2010maxim [7]

Answer:

D. 29% and 22%

Step-by-step explanation:

The known percentages are 34% and 15%. Add these two together to get 49%. All four choices should add up to 100%. So subtract to find what remains:

100% - 49%

= 51%

We don't actually have enough information to determine the percents for summer and winter. BUT the only answer that adds up to 51% is answer D. 29% and 22%.

8 0

2 years ago

Curtis threw 15 darts at a dartboard.40% of his darts hit the bull’s eye.how many darts not hit the bulls eye?

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

The number of darts that failed to hit the bulls eye is 40% of 15 subtracted from 15

Since 40% of the darts hit the bulls eye .

Therefore

40% of 15

40/100 x 15

0.4 x 15

This means that 6 darts hit the bulls eye.

Therefore,number of darts that did not hit the bulls eye is

15 - 6 = 9

9 darts failed to hit the bulls eye

7 0

3 years ago