Answer:
a. 121
b. 32100
c. 0.2
d. 400
Step-by-step explanation:
a. Quick disclaimer: If there's a decimal point on the divisor, in this case it would be .05, you have to move the decimal point until it has no decimal, in this case .05 would become 5.0 or just 5. The other number also has to have it's decimal point moved as much as the divisor, in this case two times, so it would be from 6.05 to 605. So with this in mind: 605/5 = 121
b. 96.3/.003 = 96300/3 = 32100
c. 0.12/0.6 = 1.2/6 = 0.2
d. 3.2/.008 = 3200/8 = 400
Answer:what
Step-by-step explanation:
Answer:
a) 20.16; b) 20.49 and 21.51
Step-by-step explanation:
We use z scores for each of these. The formula for a z score is
.
For part a, we want the 20th percentile; this means we want 20% of the data to be lower than this. We find the value in the cells of the z table that are the closest to 0.20 as we can get; this is 0.2005, which corresponds with a z score of -0.84.
Using this, 21 as the mean and 1 as the standard deviation,
-0.84 = (X-21)/1
-0.84 = X-21
Add 21 to each side:
-0.84+21 = X-21+21
20.16 = X
For part b, we want the middle 39%. This means we want 39/2 = 19.5% above the mean and 19.5% below the mean; this means we want
50-19.5 = 30.5% = 0.305 and
50+19.5 = 69.5% = 0.695.
Looking these values up in the cells of the z table, we find those exact values; 0.305 corresponds with z = -0.51 and 0.695 corresponds with z = 0.51:
-0.51 = (X-21)/1
-0.51 = X-21
Add 21 to each side:
-0.51+21 = X-21+21
20.49 = X
0.51 = (X-21)/1
0.51 = X-21
Add 21 to each side:
0.51+21 = X-21+21
21.51 = X
For this case we must do a conversion. By definition we have to:
1 milligram equals 1000 micrograms
1 liter equals 1000 milliliters
So:
Answer: