1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
8

What is the volume of the cone with radius 4 ft and height 10 ft? Round to the nearest cubic foot.

Mathematics
2 answers:
GrogVix [38]3 years ago
7 0

Answer:168 ft3

Step-by-step explanation:

umka2103 [35]3 years ago
5 0

Answer:

D) 168 ft3

Step-by-step explanation:

The formula to find the volume of a cone is V=πr^{2}\frac{h}{3}.

We need to plug in the radius, 4, and the height, 10, into this equation.

V=π(4)^{2}\frac{10}{3}

V=π16\frac{10}{3}

V=π53.33

V=167.55

If we round up to the nearest whole number, we get 168 ft^{3}. Therefore, the correct answer is D) 168 ft3.

I hope I helped!

You might be interested in
What is the value of x <br> A.45<br> B.50<br> C.90<br> D.30
xenn [34]
I think the answer would be D
4 0
3 years ago
Read 2 more answers
Find the missing sides from the right-angled triangles given below. Step by step
strojnjashka [21]

Answer:

BD = √13cm, AC = 10c,

Step-by-step explanation:

AB^2 = AD^2 + BD^2\\\\49 = 36 + BD^2\\\\BD = \sqrt{49 - 36} = \sqrt{13}cm\\\\AC^2 = AD^2 +DC^2\\

       =36 + 64\\=100

\\AC = \sqrt{100} = 10cm

6 0
3 years ago
Read 2 more answers
Small Sample:
agasfer [191]

Answer:

The 80% confidence interval for the proportion of companies that are planning to increase their workforce is (0.033, 0.331).

A sample size of 8852 is needed.

Step-by-step explanation:

First question:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

Only 2 of the 11 companies were planning to increase their workforce.

This means that n = 11, \pi = \frac{2}{11} = 0.1818

80% confidence level

So \alpha = 0.2, z is the value of Z that has a pvalue of 1 - \frac{0.2}{2} = 0.9, so Z = 1.28.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1818 - 1.28\sqrt{\frac{0.1818*0.8182}{11}} = 0.033

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1818 + 1.28\sqrt{\frac{0.1818*0.8182}{11}} = 0.331

The 80% confidence interval for the proportion of companies that are planning to increase their workforce is (0.033, 0.331).

Second question:

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A poll taken in July 2010 estimates this proportion to be 0.36.

This means that \pi = 0.36

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.01?

This is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.96\sqrt{\frac{0.36*0.64}{n}}

0.01\sqrt{n} = 1.96\sqrt{0.36*0.64}

\sqrt{n} = \frac{1.96\sqrt{0.36*0.64}}{0.01}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.36*0.64}}{0.01})^2

n = 8851.04

Rounding up(as a sample of 8851 will have a margin of error slightly over 0.01):

A sample size of 8852 is needed.

4 0
3 years ago
A town hosts an Arbor Day celebration. Each of the 105 families attending gets to choose a sapling to take home as they leave. M
nekit [7.7K]

Answer:

michelles

Step-by-step explanation: hope you get it right have a great day and may i have brainlyest

5 0
3 years ago
Read 2 more answers
I need answers for bi<br> And bii
pentagon [3]
Bi: 19 packs
bii:yes=15*19=285
285-272=13

8 0
3 years ago
Read 2 more answers
Other questions:
  • 1. Choose the best definition for the term: factor (1 point)
    13·2 answers
  • Simplify (6x2 − 3 + 5x3) − (4x3 − 2x2 − 16). (1 point) a 2x3 − x2 + 21 b −2x3 + x2 − 21 c x3 + 8x2 + 13 d −x3 − 8x2 + 13
    15·2 answers
  • Which type of triangle can be formed with sides measuring 8 inches 8 inches and 3inches
    13·1 answer
  • What are two integers whose sum is -2 and product is -80?
    10·1 answer
  • What is the circumference of the circle if AB=6 in.
    9·2 answers
  • . Write an equation to represent the relationship in the following table. Captionless Image
    8·1 answer
  • Please help me this is pretty hard
    11·1 answer
  • Can anyone help me with this
    13·2 answers
  • Using the picture solve for the answer
    12·1 answer
  • WORTH 20 POINTS IF CORRECT! Write the slope-intercept form of the equation of each line show or explain your work. 1. is (0,4) (
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!