Tanya is going to Six Flags andplans to spend no more than $250.If the ticket cost $50 and foodaverages $4 per items, how manyfo
1 answer:
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Answer:
A. {-1, 2, 7}
Step-by-step explanation:
For a set of ordered pairs, the domain is the set of first-numbers (x). The range is the set of second numbers (y, or g(x)).
The first step here is to find the g(x) values for each of the listed x-values.
The attachment shows a table.
Often, we like to list the domain and/or range values in numerical order, eliminating any duplicates. That is, the set of range values {2, -1, -1, 7} would be listed as ...
{-1, 2, 7} . . . . . . matches choice A
_____
You find the g(x) values by substituting for x and doing the arithmetic.
g(-2) = (-2)² -2 = 4 -2 = 2, for example
Answer:
63% of the values lies between 70 and 85.
Step-by-step explanation:
We are given that a normally distributed set of numbers has a mean of 75 and a standard deviation of 7.97.
<em>Let X = Set of numbers</em>
The z-score probability distribution for is given by;
Z = ~ N(0,1)
where, = mean value = 75
= standard deviation = 7.97
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.
So, percentage of values that lies between 70 and 85 is given by = P(70 < X < 85) = P(X < 85) - P(X 70)
P(X < 85) = P( <
) = P(Z < 1.25) = 0.89435 {using z table}
P(X 70) = P(
) = P(Z
-0.63) = 1 - P(Z < 0.63)
= 1 - 0.73565 = 0.26435
<em>Now, in the z table the P(Z </em><em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.25 and x = 0.63 in the z table which has an area of 0.89435 and 0.73565 respectively.</em>
Therefore, P(70 < X < 85) = 0.89435 - 0.26435 = 0.63 or 63%
<em>Hence, 63% of the values lies between 70 and 85.</em>