Answer:
0.4
Step-by-step explanation:
These are the relative frequencies of each face (data are missing in the text of the problem):
Number Showing on Top Face Frequency
1 0
2 3
3 3
4 6
5 3
6 5
The probability to obtain a certain number when throwing the dice is given by
where
is the relative frequency of the number 
to occur
is the sum of the relative frequencies
Here the sum of the frequencies is:
For number 5 here, we have:
(from the table)
So the probability of getting a 5 is
For number 6 here, we have
So the probability of getting a 6 is
So the probability to obtain either a 5 or a 6 in the next rolling is:
Answer:
solved
Step-by-step explanation:
Mean = 12
SD = 2
Answer to part 2) Less than 7 months
P(x < 7)
P(x < 7) = P(z < (7-12)/2) = P(z < -2.5)
This probability can be obtained by referring to the Z table
Thus P(x < 7) = 0.0062
1) Between 7 and 12 months
P(7 < x < 12) = P( x< 12) - P(x < 7)
We have P(x < 12) = 0 ......[because mean = 12]
and P(x < 7) = 0.0062 ...[this we got is part a]
Thus on plugging these values we get
P( 7 < x < 12) = 0.5 - 0.0062 = 0.4938
Thus P(7 < x < 12) = 0.4938
3
Answer:
Second option: 81y^4 - 16x^2, the difference of squares
Step-by-step explanation:
(9y^2-4x)(9y^2+4x) is a special product named difference of squares, then we can apply this formula:
(a-b)(a+b)=a^2-b^2, with a=9y^2 and b=4x, then:
(9y^2-4x)(9y^2+4x)=(9y^2)^2 - (4x)^2
(9y^2-4x)(9y^2+4x)=(9)^2 (y^2)^2 - (4)^2 (x)^2
(9y^2-4x)(9y^2+4x)=81y^(2*2) - 16x^2
(9y^2-4x)(9y^2+4x)=81y^4 - 16x^2
By looking at the bottom length of both triangles, we can determine the scale from one to the other.
C-E = 30 units
D-F = 28 units
This can be translated as the fraction 15/14.
So if we look back at the possible answers, both B and C are likely candidates for being the answer.
But to get the answer, we multiply 24 X (15/14).
Which is 25.7, or 25 and 5/7. Your answer is C.
