Answer: x ≤3
Step-by-step explanation:
Your answer is correct
<span>400,958,6 Hope this helps!</span>
Answer:
Step-by-step explanation:
The prices of quoted of auto repairs are as listed below;
$139, $150, $345, $99, $167, $155, $140, $200.
For her to check whether there is an outlier in the data, she needs to find the mean of the set of data. An outlier is a value in a set of a data that varies considerably from other data in a dataset. It may be larger or smaller than other set of datas. An outlier can affect the decision of a set of data to be analysed if nor taken care of.
From the data, the possible outliers are $99 and $345
Mean of the data = sum of all the prices/sample size
xbar = \sum Xi / N
Xi are individual datas
\sum Xi = $139+$150+$345+$99+$167+$155+$140+$200+$160
\sumXi = $1555
Sample size = 9
Mean = $1555/9
Mean = $172.78
Hence the value that would best represent the central tendency is $177.78
Since this is an obtuse triangle, Point O is not equidistant from A, B, and C. Point O is not on the perpendicular bisectors, so the third statement is true. Point O is equidistant from AB, BC, and CA because these lines are pressed against the circpe in a mannered way.
Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
