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
alex41 [277]
3 years ago
13

A six-sided die is rolled three times. what is the probability that all three rolls will be 6?

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

you have a 1/6 probability of rolling a 6

 so for 3 6's it would be

1/6 x 1/6 x 1/6 = 1/216

You might be interested in
What's the distance between the two points , ( -3 , -4 ) and ( 4 , 3 ) ?
mixer [17]
Answer: the distance between the two points in Decimal Form is 9.899
3 0
3 years ago
Read 2 more answers
The percentage of body fat of a random sample of 36 men aged 20 to 29 found a sample mean of 14.42. Find a 95% confidence interv
Rina8888 [55]

Answer:

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

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=14.42 represent the sample mean

\mu population mean (variable of interest)

\sigma=6.95 represent the population standard deviation

n=36 represent the sample size  

Solution to the problem

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.95 or 95%, the value of \alpha=0.05 and \alpha/2 =0.025, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that z_{\alpha/2}=1.96

Now we have everything in order to replace into formula (1):

14.42-1.96\frac{6.95}{\sqrt{36}}=12.150    

14.42+ 1.96\frac{6.95}{\sqrt{36}}=16.690    

So on this case the 95% confidence interval would be given by (12.150;16.690)    

5 0
3 years ago
Steven wishes to save for his retirement by depositing $2,000 at the beginning of each year for thirty years. Exactly one year a
Ad libitum [116K]

Step-by-step explanation:

i = interest 3% for 30 years

This is a simple dynamical system for whom the the solutions are given as

S=R[\frac{(i+1)^n-1}{i}](i+1)

putting values we get

S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)

= $98005.35

withdrawal of money takes place from one year after last payment

To determine the result we use the present value formula of an annuity date

P = R\frac{1-(1+i)^{-n}}{i}{i+1}

we need to calculate R so putting the values and solving for R we get

R= $6542.2356

8 0
3 years ago
What is the solution to the system of equations? <br><br>6x+2y=6<br><br>7x+3y=5
Stells [14]
The answer is (2,-3)
4 0
3 years ago
Read 2 more answers
PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is t
Tom [10]

Answer: The value of x is 6.

Step-by-step explanation:

TO find the volume of a cube you cube any side length. so if the side  length is 6.

6^3 = 216

To find the surface area of a cube you will square one of the side lengths and multiply it by 6.

so the side length is 6 and 6 squared is 36

36*6 = 216

3 0
3 years ago
Other questions:
  • A card is drawn at random from a standard pack of playing cards then a fair coin is flipped what is the probability of selecting
    13·1 answer
  • Deanna gets 3 problems incorrect on her math quiz and scores 85%. How many questions were on the quiz?
    6·1 answer
  • Cesar said that 19.2 × 9.5 equals 18.24. Is Cesar's answer reasonable? A. Yes, Cesar's answer is reasonable. B. No, Cesar's answ
    6·2 answers
  • Find the measure of ∠ECB. Circle A is intersected by line CD at points D and E and line CB at point B, forming angle ECB outside
    11·2 answers
  • Given triangle ABC with coordinates A(−5, 4), B(−5, 1), and C(−7, 0), and its image A′B′C′ with A′(−1, 0), B′(−4, 0), and C′(−5,
    6·2 answers
  • Find the area of the region under the graph of the function f on the interval
    11·1 answer
  • 11 x (3+3) - (66/11) - 3
    12·2 answers
  • If x represents a given number, the expression "3 less than twice the given number"
    13·1 answer
  • Need help, I don’t understand this!
    7·1 answer
  • What is the range of the function on the graph?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!