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valkas [14]
2 years ago
5

What is the height of the cone below?

Mathematics
1 answer:
poizon [28]2 years ago
5 0

Answer:

Nearly the answer is 15 cm

because answer is in decimals

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A random sample of 20 items is selected from a population. When computing a confidence interval for the population mean, what nu
kumpel [21]

Answer:

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

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 represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

For this case since the sample size is lower than 30 , n =20<30, is not appropiate use the normal standard distribution to calculate the confidence interval for the mean, and then for this case is better use the t distribution since takes in count the correction factor to approximate the distribution of the true parameter.

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

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

8 0
3 years ago
Let a be -1/6 and let b be 1/2. Let x be the sum of the reciprocals of a and b, let y be the product of the reciprocals of a and
Ilia_Sergeevich [38]

Answer:

x + y + z = - 22

Step-by-step explanation:

Reciprocal of a : - 6,

Reciprocal of b : 2

Therefore if x is the sum of the reciprocals of a and b, it will be - 6 + 2 = - 4. x will be - 4.

Respectively if y is the product of the reciprocals of a and b, it will be - 6 * 2 = - 12. y is - 12. And if z is twice the reciprocal of a / the reciprocal of b, it will be the following,

z = 2(- 6) / 2

= - 12 / 2 = - 6

And x + y + z = - 4 - 12 - 6 = - 22. That is your solution.

3 0
3 years ago
!!!HELP ME WITH THIS QUESTION PLEASE!!!
lidiya [134]

9514 1404 393

Answer:

  A.  {1, 7, 11}

Step-by-step explanation:

The constant in the equation is 1, so that is the value when x=0. No answer choice can be correct unless it includes the value 1. The only viable choice is A.

_____

If you want to go to the trouble to evaluate the expression for the different values of x, you can. It often works well to rewrite the expression to "Horner form":

  (2x -1)x +1

For x = -2, this is (2(-2) -1)(-2) +1 = (-5)(-2) +1 = 11

For x = 0, this is 1

For x = 2, this is (2(2) -1)(2) +1 = (3)(2) +1 = 7

So, the range for the given domain is {1, 7, 11} . . . . . matches choice A

3 0
3 years ago
Please help (Determine the slope of the line. Show the work you did to find the slope.)
Scrat [10]

Answer:

slope of line is 3/5

Step-by-step explanation:

slope is the ratio of the change in the y-values over the change in the x-values

in this problem, if you go from pt A to pt B, you rise by 3 and go to the right by 5, thus slope of 3/5

if you go from pt B to pt C, you rise by 6 and go to the right by 10

however, 6/10 can be reduced to 3/5

if you start at point (0,2) and rise by 3 and run to the right by 5 you are at point (5,5)

change in y-values is 5-2 or 3

change in x-values is 5-0 or 5

(5-2)/(5-0) = 3/5

3 0
3 years ago
Are the figures below similar? Why or why not? Determine whether the triangles shown in the image are similar.
Vika [28.1K]

Answer:

B) no, because the corresponding angles are not congruent

Step-by-step explanation:

Similar triangles must have proportional sides, as well as congruent corresponding angles. In this instance, we can see that the angles are not <em>congruent</em>, and so there is no need to solve for proportion.

~

3 0
3 years ago
Read 2 more answers
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