Ok so 2 dice
the probability means (desired outcomes)/(total possible outcomes)
one way is to list all outcomes and find the desirable ones (I will list and find product and bold all numbers less than 13)
product of 2 numbers means multiply fyi
1,1=1
1,2=2
1,3=3
1,4=4
1,5=5
1,6=6
2,1=2
2,2=4
2,3=6
2,4=8
2,5=10
2,6=12
3,1=3
3,2=6
3,3=9
3,4=12
3,5=15
3,6=18
4,1=4
4,2=8
4,3=12
4,4=16
4,5=20
4,6=24
5,1=5
5,2=10
5,3=15
5,4=20
5,5=25
5,6=30
6,1=6
6,2=12
6,3=18
6,4=24
6,5=30
6,6=36
36 possible outcomes
23 less than 13, desired outcomes=23
probability=23/36
answer is it is 23/36 probability that the number is less than 13 aka about 64%
Answer:
(0.6613, 8.3387)
Step-by-step explanation:
Let the heights of men be the first population and the heights of women be the second population. Then
We have 
, 
, 
and
, 
, 
. The pooled
estimate is given by
The 99% confidence interval for the true mean difference between the mean height of the men and the mean height of the women is given by (if the samples are independent)
, i.e.,
where 
is the 0.5th quantile of the t distribution with (15+7-2) = 20 degrees of freedom. So
, i.e.,
(0.6613, 8.3387)
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.
Answer:
Step-by-step explanation:
George is g and Mike is m
Substitute g in the second equation
- 2m - 5 + m = 31
- 3m - 5 = 31
- 3m = 36
- m = 12
Finding g
- g = 2*12 - 5 = 24 - 5 = 19
