Answer:
Step-by-step explanation:
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. Which graph represents the proportion of pieces of pie that have more than 375 calories.
Answer: The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and for a negative z score means the raw score is below the mean. The z score is given as:
Given that: μ = 350 calories, σ = 20 calories, x > 375
From the graph, The shaded area represents the proportion of pieces of pie that have more than 375 calories
From the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25)
= 1 - 0.8944 = 0.1056 = 10.56%
Answer:
the base of the ladder is 27.89 ft away from the building
Step-by-step explanation:
Notice that this situation can be represented with a right angle triangle. The right angle being that made between the ground and the building, the ladder (32 ft long) being the hypotenuse of the triangle, the acute angle of 
being adjacent to the unknown side we are asked about (x). So, we can use the cosine function to solve this:
which rounded to the nearest hundredth gives;
x = 27.89 ft
Answer:
Step-by-step explanation:
step 1
Find PN
we know that
PN is a diameter
PS is a radius
so
step 2
Find the measure of arc MP
step 3
Find the measure of angle MNP
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 4
Find the measure of angle MPN
we know that
The inscribed angle measures half that of the arc comprising
substitute the value
step 5
Find the measure of angle NMP
The sum of the internal angles of a triangle must be equal to 180 degrees
therefore
The triangle MNP is a right triangle
step 6
Find the length MN
In the right triangle MNP
substitute the values
Answer:
He generates a random whole number from 1 to 3.
Step-by-step explanation:
Each winner has 3 possibilities, gets cotton candy, gets a shirt, or gets a keychain. We can asign each of this possibiltiies a number, 1 for cotton candy, 2 for the shirt and 3 for a keychain. So, for a simulation, its enough to take one of this whole numbers for each winner.
The diagram included should explain this.
