There are 36 possible ways of throwing two dices. The following lists are shown in ordered pair:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
a) a pair of 3's
The probability is 1/36 because there is only one pair which is (3,3).
b) any pair
The probability is 6/36 or 1/6 because the number of pairs are (1,1) (2,2) (3,3) (4,4) (5,5) and (6,6).
c) at least one 4
The probability is 10/36 or 5/18 because there would be (4,1) (4,2) (4,3) (4,5) (4,6) (1,4) (2,4) (3,4) (5,4) (6,4) for any combination.
d) a total of 9
The probability is 4/26 or 2/13 because (4,5) (5,4) (3,6) (6,3) are the totals of 9.
5) a total greater than 8
The probability is 10/36 or 5/18. Just find the ordered pair having a sum greater than 8.
Hope this helps.
Answer:
Efx=2300 may be it would help : )
Step-by-step explanation:
To find that u have to :
mass mid value(x) Number..(f) fx
10-29 19 32 608
30-39 9 38 342
40-49 9 64 576
50-59 9 35 315
60-69 9 22 198
70-99 29 9 . 261
Efx=2300
It is true if two vectors point in opposite directions. This means their cross product must be zero.
<h3>What is cross product?</h3>
Cross product is a vector product of two vectors in the three dimensional vector space.
In the case when the two vectors point in opposite directions so there cross product should be zero.
Impact on two points:
In the case when the two vectors point in opposite directions so there cross product should be zero.
Like
A*B = [A][B] sin
Here theta is be the angle that lies between them
So,
A*B = [A][B] sin 180
So, A*B = 0
hence, the given statement is true.
learn more about vectors here:
brainly.com/question/21797532
#SPJ4
Answer:
k=2
Step-by-step explanation:
3^k*2 * 3^-k+2 = 81
Factor out 81 to be : 3^4
Rewrite the equation:
k*2 - k+2 = 4
k^2 - 2k = 4
Simplify : k+2 = 4
<u> - 2 - 2</u>
k = 2