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chubhunter [2.5K]
3 years ago
6

If you roll a fair six-sided die and a fair four-sided die, what is the probability that neither die shows a 1?

Mathematics
1 answer:
Masja [62]3 years ago
3 0
For the first die, 5 out of 6 are not 1. 
That is 5/6. 
For the second die, 3 out of 4 are not 1. 
That is 3/4.  
Multiply 5/6 by 3/4 to get the probability.
5/6 x 3/4 = 20/72 
Simplify once to get 10/36. 
Do it again to get 5/18. 
In decimal form it is 0.2777 and in percent form it is 27.77%. 
Hope this helps!

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If the standard deviation of a set of data is zero, what can you conclude about the set of values? The sum of the deviations fro
Rashid [163]

Answer:

All values are identical.

Step-by-step explanation:

We are given the following in the question:

If the standard deviation of a set of data is zero.

Then, all the values in data are identical.

This can be shown as:

Let all the terms in data be x.

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{nx}{n} = x

Sum of squares of differences =

\displaystyle\sum (x_i - x)^2 = 0

\sigma = \sqrt{\frac{0}{n}} = 0

Thus, the correct answer is

All values are identical.

3 0
3 years ago
Find the volume of a rectangular prism with a height of 18 if the base has a length of 9 and a width of 17.
docker41 [41]

Hey there! I'm happy to help!

To find the volume of a rectangular prism, you simply multiply each of the three different sides!

18×9×17=2754

Therefore, the volume of this rectangular prism is c. 2754 units cubed.

Now you can find the volume of a rectangular prism! Have a wonderful day!

3 0
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3 0
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Answer:

2879ft

Step-by-step explanation:

The level runway (x), height gained (h), and distance travelled (r) form a right-angled triangle with base angle  

10

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We may hence use trig ratios to solve for any of the unknowns, in particular for the distance r as follows :

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