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Mathematics

1 answer:

Sphinxa [80]3 years ago

3 0

Answer:

261.8

Step-by-step explanation:

pi x 5 squared x 10/3 = 261.8 for a cone

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Complete the solution of the equation. find the value of y when x equals 1. <br><br>9x +7y= -12

Taya2010 [7]

Answer:

$y=-3$

Step-by-step explanation:

Given Equation:

$9x +7y=-12\\$ y=? at x= 1

Putting the given value of 'x' in the equation:

$9(1) +7y=-12\\\\9+7y=-12\\\\7y=-12-9\\\\7y=-21\\\\y=-\frac{21}{7} \\y=-3$

At $x=1$ , the value of y is $y=-3$

6 0

4 years ago

Mrs.Hall records the heights of 50 students in a spreadsheet. The mean height is 68 inches. After looking at the data again, she

son4ous [18]

After removing the outliers, the new total of student heights is
68*50 -82 -86 = 3232
so the new mean is
3232/48 = 67.33

8 0

4 years ago

f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many

Oksanka [162]

Answer:

n=1849

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by: