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
SCORPION-xisa [38]
3 years ago
8

A sold sphere has volume 42pie. Find the radius of the sphere

Mathematics
1 answer:
Over [174]3 years ago
7 0

Answer:

The Radius of sphere is 3.15 unit  

Step-by-step explanation:

Given as,

Volume of Sphere = 42 \pi    unit³

From the Volume of Sphere = \frac{4}{3} \pi r³

Where r is the radius of Sphere

So , 42 \pi  = \frac{4}{3} \pi r³

Or,  42  = \frac{4}{3} r³

Or ,  r³ = (\frac{42 \times 3}{4})

Or,   r³ = 31.5

Or, Radius = \sqrt[3]{31.5} = 3.15 unit

Hence the Radius of sphere is 3.15 unit   Answer

You might be interested in
What is the volume of an cylinder shown below with radius of 11 and height of 12
den301095 [7]

Answer:

Step-by-step explanation:

your answer is 4,561.593

6 0
3 years ago
(15 – 5) •2<br> ill give brainlist
IRISSAK [1]

Answer:

20

Step-by-step explanation:15-5=10 10 x 2 =20

8 0
3 years ago
Read 2 more answers
A Pew Internet poll asked cell phone owners about how they used their cell phones. One question asked whether or not during the
EastWind [94]

Answer:

a) \hat p=\frac{471}{1024}=0.460

The standard error is given by:

SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156

And the margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305

b) The 99% confidence interval would be given by (0.429;0.491)

Step-by-step explanation:

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}})

Data given and notation  

n=1024 represent the random sample taken    

X=471 represent the people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

\hat p=\frac{471}{1024}=0.460 estimated proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering    

p= population proportion of people responded that they had used their cell phone while in a store within the last 30 days to call a friend or family member for advice about a purchase they were considering

Part a

The confidence interval would be given by this formula

\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}

For the 95% confidence interval the value of \alpha=1-0.95=0.05 and \alpha/2=0.025, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=1.96

The standard error is given by:

SE= \sqrt{\frac{\hat p(1-\hat p)}{n}}=\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0156

And the margin of error is given by:

ME=z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}=1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.0305

Part b

If we replace the values obtained we got:

0.460-1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.429

0.460+1.96\sqrt{\frac{0.460(1-0.460)}{1024}}=0.491

The 99% confidence interval would be given by (0.429;0.491)

8 0
3 years ago
Describe the relationship between base 4 and exponent 3
Sergio [31]
Is there any options?
4 0
3 years ago
How many times does 3 go into 9
AVprozaik [17]
3 go into 9 3 times
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which of these phrases contain a variable? Check all that apply.
    7·2 answers
  • Match the following items by entering the correct letter in Column 1 from Column 3.
    12·2 answers
  • 1.45x + 1.25y =70.85 <br><br> x + y = 53
    7·1 answer
  • Can someone help me with this ​
    11·2 answers
  • Add or subtract the following mixed numbers using the first method. (Add the whole numbers; add the fractions; combine the parts
    15·1 answer
  • 105 push ups in 3 minutes . find the unit rate and how many in five minutes
    5·2 answers
  • In ΔLMN, m = 390 cm, n = 430 cm and ∠L=134°. Find the length of l, to the nearest centimeter. PLEASE HELP ITS URGENT
    13·1 answer
  • Find the sum of 0.48 and 0.6
    12·1 answer
  • a package of 3 pairs of insulated gloves costs 19.77. what is the unit price of the pairs of gloves?​
    7·1 answer
  • (FIRST PERSON TO ANSWER GETS BRAINLIEST!!!) A student earned $2500.75 at his summer job making $12.50 per hour. Let h represent
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!