Answer:
Age of Alice = 25, Age of Jane = 20.
Step-by-step explanation:
Let age of Alice = x
Then age of Jane is 80% of the age of Alice
=> Age of Jane = 80% of x = 80/100 * x = 0.8x
Adding the two ages gives 45.
The two ages are x and 0.8x.
The sum of the two ages is x+ 0.8 x = (1+0.8)x = 1.8x.
=> 1.8 x = 45
Dividing both sides by 1.8, x = 45/1.8
=> x= 25
But x represents the age of Alice.
So age of Alice is 25.
Age of Jane = 0.8* 25 = 20
Verification: Adding the two ages gives 45.
The z-score for 36,000 is (36,000 - 40,000) / (15,000 / √25) = -1.333
The z-score for 42,000 is (42,000 - 40,000) / (15,000 / √25) = 0.6667
P(36,000 < x < 42,000) = P(-1.3333 < z < 0.6667)
P(z < 0.6667) - P(z < -1.3333)
0.7475 - 0.0913
0.6562
Answer:
2.33 = x
Step-by-step explanation:
pages minutes
21 9
x 1
Cross multiply.
21×1 = 9×x
<u>21</u><u> </u> <u>9x</u>
9 9
9 cancels 9 leaving x. and 21 divided by 9 equals 2.33 pages. NB. both sides are divided by 9 because we want x by itself and what you do to one side, you have to do to the other.
First we have to get the LCM of 8 and 6, which is 24. so the fractions with be Maria 9/24 and Nina 12/24. therefore Nina are more
