Answer:
The probability is 0.31
Step-by-step explanation:
In this question, we are tasked with calculating the probability that a random plumber called at Denver will charge an amount greater than $86 given the mean and the standard deviation.
Firstly, we calculate the standard score of $86 using the mean and the standard deviation.
Mathematically;
z-score = (x-mean)/SD
where x = 86, mean = 84 and SD = 4
z-score = (86-84)/4 = 2/4 = 0.5
Hence, we want to calculate P(z ≥ 0.5)
Using standard table
P( (z ≥ 0.5) = 1 - P(z ≤ 0.5) = 1 - ( 0.19146 + 0.5) = 0.30854
To the nearest hundredth = 0.31
Answer:
A. -1/8 x + 3/16
Step-by-step explanation:
Distribute -1/2 over the parentheses
-1/2 ( 1/4 x - 3/8 )
-1/2 (1/4 x) - 1/2 (-3/8 )
multiply fractions to simplify
-1/8 x + 3/16
A is correct
I plugged this into a calculator and got: 70.45% or approximately 70.5%
I would say the dog food is 5.5 pounds and the cat food is 3.75 pounds
