The shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall. Write an absolute value equ
2 answers:
Answer:
Step-by-step explanation:
It is given that the shortest person in a class is 55 inches tall and tallest person in that class is 75 inches tall.
Let x represent the heights.
Minimum value of x = 55
Maximum value of x = 75
The midpoint of maximum and minimum value is
Difference between extreme points and midpoint is
The absolute value equation is
Therefore the required absolute value equation that represents the minimum and maximum heights is |x-65| ≤ 10.
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Answer:
D m =
Step-by-step explanation:
factor the expressions in the denominator and the numerator to simplify the expression:
=>
=>
to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:
=> =
=
in this case, the values of m from option D make the denominator of the fraction equals 0.
The interquartile range of the players' weights = 48 pounds.
The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.
It should be noted that the following is true for a boxplot.
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
So, it is evident that for this question,
First quartile = 174 pounds
Third quartile = 222 pounds
Inter Quartile Range = (Third quartile) - (First quartile)
= 222 - 174
= 48 pounds.
To know more about "interquartile"
Refer this link:
#SPJ4
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be
where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by
where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)