Answer:
<
Step-by-step explanation:
Since it is a negative value, whatever fraction is closer to 0 will be greater.
Work out the z scores for 51 and 54
z1 = (51 - 57.5) / 6.5 = -1
z2 = (64 - 57.5)/6.5 = 1
from tables of normal distribution this value os 3413 + 3413 = 68.26%
so the answer is c
Answer: There are 4 possibilities. They are all listed below with their percents.
You can create a tree diagram to shows all of the possibilities. It will start with 2 branches and then each of those branches will have 2 branches.
The possibilities are: UU, UD, DU, DD
To find the probabilities of each, you have to multiply the percent for each together.
UU = 0.66 x 0.66 = 0.4356
UD = 0.66 x 0.34 = 0.2244
DU = 0.34 x 0.66 = 0.2244
DD = 0.34 x 0.34 = 0.1156
Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1