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
-84 > -6(2 - 3b)
<em><u>Distributive property.</u></em>
-84 > -12 + 18b
<em><u>Add 12 to both sides.</u></em>
-72 > 18b
<em><u>Divide both sides by 18.</u></em>
-4 > b
The value of b is less than -4
I believe it's B.
If I'm wrong tell me so I can see what I did wrong.
Answer: 97.7 in
Step-by-step explanation: The perimeter is another name for circumference. Since we know that the formula for circumference is 2(pi)r, but we only want half of that.
Note that 2r is another way of writing the diameter (d).
In this case, we can use the formula d(pi)/2 + d (we’re adding d because d(pi)/2 will only give us the perimeter of the arch.
38(pi)/2 = 59.66
59.66 + 38 = 97.66
Rounded, that would be 97.7 in
