Answer: 150 people voted in the election.
Step-by-step explanation:
Let x = Total number of votes.
Mason got
votes.
Isabella got 40 votes, Amelia got 60 votes.
Then,
Combined votes = 

Hence, 150 people voted in the election.
Answer:
f(x) < –x2 + x – 1
Step-by-step explanation:
The graph is going down so we know that there is a maximum, therefore the A value has to be negative. This rules out f(x) < x2 + x – 1 and f(x) > x2 + x – 1
. The shaded area of the graph is below which indicates that f(x) has to be less than the function. This means the correct answer is f(x) < –x2 + x – 1 .
Answer:
Option. B
Step-by-step explanation:
Answer:
0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
A soft drink machine outputs a mean of 29 ounces per cup. The machine's output is normally distributed with a standard deviation of 4 ounces.
This means that 
What is the probability of filling a cup between 33 and 35 ounces?
This is the p-value of Z when X = 35 subtracted by the p-value of Z when X = 33.
X = 35



has a p-value of 0.9332.
X = 33



has a p-value of 0.0413.
0.9332 - 0.0413 = 0.8919
0.8919 = 89.19% probability of filling a cup between 33 and 35 ounces.