The formula for density of an object is Density= 
First you plug in the information you already know. 163.5= 
Now you have to solve for the mass so you multiply 0.492 by 163.5 
Lastly, you simplify and you will get 80.44. Hope this helped :)
Tom rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 21.
1 answer:
The probability of getting a total that is a factor of 21 is 0.22
<u>Explanation:</u>
Factor of 21 is = 1, 3, 7, 21
Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12
The possible combinations are:
(1,2) (1,6)
(2,1) (2,5)
(3,4)
(4,3)
(5,2)
(6,1)
Total outcome = 6 X 6
= 36
Number of outcomes that is the factor of 21 is 8
The probability of getting a total that is a factor of 21 is
p(21) = 0.22
Therefore, the probability of getting a total that is a factor of 21 is 0.22
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Answer:
5.495 inches.
Step-by-step explanation:
We have been given that Monet measures the diameter of an Oreo and finds that each cookie is 1.75 inches across. We are asked to find the circumference of an Oreo.
We know that circumference of circle is equal to , where r represents radius of circle.
We also know that diameter is 2 times radius.
Upon substituting , we will get:
Using 3.14 as an estimation for π, we will get:
Therefore, the circumference of an Oreo would be 5.495 inches.
Answer:
68% of the incomes lie between $36,400 and $38,000.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = $37,200
Standard Deviation, σ = $800
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Empirical rule:
- Almost all the data lies within three standard deviation of mean for a normally distributed data.
- About 68% of data lies within one standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within three standard deviation of mean.
Thus, 68% of data lies within one standard deviation.
Thus, 68% of the incomes lie between $36,400 and $38,000.