Answer:
The speed of 65 mph is an outlier in the distribution of the player's serve speeds
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100 mph
Standard Deviation, σ = 10 mph
Formula:
Outlier on basis of z-score:
- Any z-score greater than 3 or less than -3 is considered to be an outlier.
- This rule of thumb is based on the empirical rule.
Calculation of z-score:
Thus, the speed of 65 mph is an outlier in the distribution of the player's serve speeds as the corresponding z-score is less than -3.
Answer:
Step-by-step explanation:
The information that we know about the circle is the following:
center of the circle: (5, -2)
radius:
We use the general form for the equation of a circle whose center is at the point :
In this case since the center of our circle is at (5, -2), we conclude that:
and
so we substitute this values, along with the value for the radius:
simplifying the expression we get the equation of the circle:
A. (2, -1)
Remember, you can always plug it in to y= if you have a graphing calculator/the app desmos!
Original cost -total cost to get amount of tax.
Sophie will have a greater daises to total flowers ratio than Eleanor. To make this easier to see, let's assume the boquets have 10 flowers each, and Eleanor uses 2 daisies and 8 tulips, while Sophie uses 5 daisies and 5 tulips. Then Eleanors ratio is 2:10=1:5, while Sophie's ratio is 5:10=1:2.