<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.
<u>Let's calculate theor individual work rate</u> :
Felix's rate = 1/90
Oscar's rate = 1/120
Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360
<u>Time taken for both of the to decorate 8 dozens</u> :
Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes
<u>Hence, the time taken to decorate 16 dozens will be</u> :
(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).
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Answer:
Laura and Rob are correct
Step-by-step explanation:
we have
39/50
1) Rob said he could divide the numerator by the denominator
so
using a calculator
39/50=0.78
Rob is correct
2) Laura said she could write an equivalent fraction with 100 as the denominator to converted into a decimal
so
Multiply by 2/2
(39/50)*(2/2)=78/100=0.78
Laura is correct
therefore
Laura and Rob are correct
The average speed for the trip is 11 miles per hour, or mph. 99 miles divided by 9 is 11
60 meters
4 seconds
To find the unit rate, divide the distance by the time.
60/4=15meters per second= 15m/s
Answer:
The probability is 0.017429
Step-by-step explanation:
We start by calculating the z-score
Mathematically;
z-score = (x-mean)/SD/√n
In this case;
x = 273
mean = 276
SD = √(variance) = √81 = 9
n = 40
Substituting these values into the z-score formula, we have that;
z = (273-276)/9/√40
z = -2.11
So we proceed to get the probability
the probability in this case is;
P( z < -2.11)
We can use the normal distribution table for this
Our answer will be
P( z < -2.11) = 0.017429
