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
beks73 [17]
3 years ago
10

The large sphere has a diameter of 20 feet.

Mathematics
1 answer:
nydimaria [60]3 years ago
7 0

Answer:

<h2>The volume of the sphere is 4187 cubic feet, approximately.</h2>

Step-by-step explanation:

The volume of a spherer is defined as

V=\frac{4}{3} \pi r^{3}

Where r is the radius and \pi \approx 3.14

According to the proble, the diameter is 20 feet. By definition of radius,

r=\frac{d}{2}=\frac{20ft}{2} =10ft

Replacing the radius in the volume formula

V=\frac{4}{3} \pi (10)^{3}

V=4,187 \ ft^{3}

Therefore, the volume of the sphere is 4187 cubic feet, approximately.

You might be interested in
/
abruzzese [7]
O C
I hope this helps.
4 0
3 years ago
How do you write 9.11 x 10 4 in standard form?​
vitfil [10]

Answer:

9400.11

Step-by-step explanation:

7 0
3 years ago
URGENT: statistics: A researcher wishes to estimate the percentage of adults who support abolishing the penny what size sample s
irina1246 [14]

Using the margin of error for the z-distribution, the sample sizes are given as follows:

a) 822.

b) 1068.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

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

The margin of error is given by:

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

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

We have a 95% confidence level, hence\alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so the critical value is z = 1.96.

Item a:

The estimate is of \pi = 0.26, hence we solve for n when M = 0.03.

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

0.03 = 1.96\sqrt{\frac{0.26(0.74)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.26(0.74)}

\sqrt{n} = \frac{1.96\sqrt{0.26(0.74)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.26(0.74)}}{0.03}\right)^2

n = 821.2

A sample of 822 is needed.

Item b:

No prior estimate, hence \pi = 0.5.

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

0.03 = 1.96\sqrt{\frac{0.5(0.5)}{n}}

0.03\sqrt{n} = 1.96\sqrt{0.5(0.5)}

\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.03}

(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.03}\right)^2

n = 1067.11

A sample of 1068 is needed.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
2 years ago
What is 6/9 divided by 1/3
alisha [4.7K]

Answer:

2

Step-by-step explanation:

6/9÷1/3

Keep Change Flip

6/9 x 3/1

Multiply.

6/3

=2

Hope this helps :)

4 0
3 years ago
Read 2 more answers
What is the volume of this sphere?
Airida [17]
11488, 4pi*r^2/3 is the formula
3 0
4 years ago
Read 2 more answers
Other questions:
  • The baker pays $0.50 per pound for sugar and $0.75 per pound for butter. Write an expression that shows how much the baker will
    9·2 answers
  • A verbal phrase for 6n-4 is
    12·1 answer
  • Find the 85th term of the arithmetic sequence - 25, 37, 49, ...
    15·2 answers
  • Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probab
    7·1 answer
  • PLEASE ANSWER AND EXPLAIN 99 POINTS [URGENT]
    5·2 answers
  • Please help. I will give brainiest. Please.
    7·1 answer
  • A students needs at least seven hours of sleep each night.The student goes to bed at 11:00 p.m. and wakes up up before 6:30 a.m.
    11·1 answer
  • The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 314 people entered the park, a
    9·1 answer
  • Janice earns $17.60 an hour plus double overtime for weekend work. Last week, she worked her regular 30 hours plus 12 weekend ho
    5·1 answer
  • Please help<br><br> 1) _____<br><br> 2) _____<br><br> 3) _____ <br><br> 4) ____<br><br> 5) ____
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!