Hi! I'm happy to help!
To first solve this, we need to make those mixed numbers improper fractions.
To make 4 1/2 an improper fraction, you have to turn 4 into halves (multiply four by 2) then add the extra half, giving you 9/2.
÷(−1
)
Now, we turn 1 3/7 into an improper fraction. We turn 1 into sevenths (multiply 1 by 7) then add the other 3 sevenths, giving you 10/7.
÷(−
)
From here, we need to turn this problem into a multiplication problem in order to solve. Since multiplication is the opposite of division, we need to get the opposite of something, so we use our second fraction and flip it.
×(−
)
Now, we multiply the top by the top, and the bottom by the bottom. (any positive multiplied by a negative gives a negative)
-
<u>Since we cannot simplify, our final answer is -63/20.</u>
I hope this was helpful, keep learning! :D
Answer: the probability the mean weight will exceed 2.1 ounces is 0.09
Step-by-step explanation:
Let x be the random variable representing the amount of icing on a Cuppie Cake large cupcake. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = standard deviation
n = number of samples
From the information given,
µ = 2
σ = 0.3
n = 16
x = 2.1
the probability that the mean weight will exceed 2.1 ounces is expressed as
P(x ≥ 2.1)
For x = 2.1
z = (2.1 - 2)/(0.3/√16) = 1.33
We would determine the probability for the area above z = 1.33 from the normal distribution table. It would be
p = 1 - 0.91 = 0.09
P(x ≥ 2.1) = 0.09
10, because 10 does not need to be rounded to the nearest 10 if the number is already 10, but if the number was 17 then rounding to the nearest 10 would be 20
The answer would be 142<span />
