The definition of two events being mutually
exclusive (or disjoint) only means that it is not possible for the two events to
occur together. Given two events, E and F, they are mutually
exclusive and also mean independent.
In this case, since events E and F are mutually
exclusive, therefore the probability that either E or F will occur will simply
be the sum of two events.
P (E or F) = P (E) + P (F)
P (E or F) = 0.25 + 0.51
P (E or F) = 0.76
Therefore this means that there is a 76% probability that
either E or F will occur.
Answer:
The ordered pairs for 1 and 3 are:
(1,2) (3,8)
Now use the slope formula:
(y2-y1)/(x2-x1)
(8-2)/(3-1)= 6/2 = 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>The roots are:</u>
- 3, 3, 2 - 3i, 2 + 3i (conjugate of 2 - 3i should be added) and the leading coefficient is - 5
<u>The polynomial is:</u>
- -5(x - 3)² (x - [2 - 3i]) (x - [2 + 3i]) =
- - 5(x² - 6x + 9) (x² - 4x + 13) =
- -5(x⁴ - 10x³ + 46x² - 114x + 117) =
- -5x⁴ + 50x³ - 230x² + 570x - 585
Answer:
40 kids
Step-by-step explanation:
288 minus the 8 kids that had to hide in cars= 280. 280 divided by the seven busses is 40
Answer:
0.74 to 6.06
Step-by-step explanation:
The groups are independnet,
SE(xh bar-xa bar)=sqrt [sh^2/nh+sa^2/na]=sqrt [10.1^2/80+10.3^2/80]=1.61
At df=157, the t critical is 1.65
90%c.i=(xh bar-xa bar)+-tcritical SE(xh bar-xa bar)
=(25.2-21.8)+-1.65*1.61
=0.74 to 6.06
