Step-by-step explanation:
1. 0.08703 killograms
2. Decameters
3. Liters
Answer: 5%
Step-by-step explanation:
First notice that she contributes $300 a month and annually means yearly, so find the amount that she contributes yearly by multiplying 300 by 12 because there are 12 months in a year.
300 * 12 = 3600
Now to find the percentage, divide the amount she contributes in year by her annual salary.
3600/ 72000 = 0.05
Convert 0.05 into a percent by multiplying 0.05 by one hundred.
0.05 * 100 = 5%
Answer:
8 and 14
Step-by-step explanation:
let the 2 numbers be x and y with x > y
We can model the situation using the following 2 equations
x + y = 22 → (1)
3x - y = 34 → (2)
adding the equations term by term will eliminate the term in y
(x + 3x) + (y - y) = (22 + 34)
4x = 56 ( divide both sides by 4 )
x = 14
substitute x = 14 into (1)
14 + y = 22 ⇒ y = 22 - 14 = 8
Answer:
20.33%
Step-by-step explanation:
We have that the mean (m) is equal to 87.5, the standard deviation (sd) 6.25 and the sample size (n) = 12
They ask us for P (x <86)
For this, the first thing is to calculate z, which is given by the following equation:
z = (x - m) / (sd / (n ^ 1/2))
We have all these values, replacing we have:
z = (86 - 87.5) / (6.25 / (12 ^ 1/2))
z = -0.83
With the normal distribution table (attached), we have that at that value, the probability is:
P (z <-0.83) = 0.2033
The probability is 20.33%