Setting f(x) = 0, we have:
-x2 -7x +30 =0
The roots of this quadratic equation are:
x = 3 and -10
Since the diver is on a diving board, the -10 is somewhere behind him. We use the root x = 3 since this distance is in front of the board.
Therefore, the answer is:
x = 3; the diver hits the water 3 feet away horizontally from the board
Answer:
x=4
Step-by-step explanation:
Answer:
Outlier therefore could only be values below - 12.75
or could only be values above + 121.125
Step-by-step explanation:
0, 4, 6, 14, 17
inner quartile range of 0 - 17 is 1/2 of 17 subtracted from the higher number = 17 - 1/2 of 8.5 = 8.5 - 4.25 = 4.25 - 4.25 x 3
= 4.25 to 12.75 for inner quartile
inner quartile range is 12.75-4.25 = 8.5
We then 1.5 x 8.5 to show the outlier
= 12.75 meaning there is no outlier if is below.
Lower quartile fences = 4.25 - 1.5 = 2.75
or -1.5 x 8.5 (the range) = -12.75
Upper quartile fence = 12.75 + 1.5 = 14.25 x 8.5 = 121.125 this would be an outlier if it is 12.75 higher than 121.125 or 12.75 lower than 5.50.
Outlier therefore could only be values below - 12.75
or could only be values above + 121.125
An observation is considered an outlier if it exceeds a distance of 1.5 times the interquartile range (IQR) below the lower quartile or above the upper quartile. The values of the lower quartile - 1.5 x IQR and upper quartile + 1.5 x IQR are known as the inner fences.
An observation is an outlier if it falls more than above the upper quartile or more than below the lower quartile. The minimum value is so there are no outliers in the low end of the distribution. The maximum value is so there are no outliers in the high end of the distribution.
You can make an equation: 6.75 + x = 10
6.75 is the amount you spend on the book, x is the amount you can spend on the drink, and 10 is the total cost.
Solve for x to find how much you can spend on the drink.
6.75 + x = 10
Subtract 6.75 from both sides to isolate x.
x = 3.25
You can spend $3.25 on the drink.
Answer:
76
Step-by-step explanation:
median is the number in the very center of the list of numbers in order:
64, 72, 72, 80, 85, 89
to find the one in the middle we take away the numbers from both ends:
72, 72, 80, 85
72, 80
since there are two numbers in the middle we’ll find the average
(72+80)/2
152/2
76
