Mathematics, 31.05.2020 00:57 tylerwoodson

The five-number summary for a set of data is given below. Min Q1 Median Q3 Max 53 61 63 72 76 What is the interquartile range of the set of data?

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Answer from: naynay1997

(IQR) Interquartile range = 74 - 57 = 17

Step-by-step explanation:

Arrange the data set from least to greatest. (which already is in a least to greatest form)

53, 61, 63, 72, 76

find the median (the middle number)

Median: 63

then find both lower and upper quartile:

Lower quartile: 53 + 61 = 114/2 = 57

Upper quartile: 72 + 76 = 148/2 = 74

Formula for the interquartile range:

(IQR) interquartile range: upper quartile - lower quartile = answer

Answer from: Quest

the speed is $135$ miles per hour > is false

step-by-step explanation:

we know that

a relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

in a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

the graph shown in the figure represent a direct variation

the slope of the line represent the speed

$y/x=k$

for the point $(1.5,90)$

substitute the values of x and y

$k=90/1.5=60\ miles/hour$

the linear equation is equal to

$y=60x$

statements

case a) it takes $2$ hours to go $120$ miles

the statement is true

because

substitute

for $x=2$

find the value of y in the linear equation

$y=60(2)=120\ miles$ > is correct

case b) the speed is $135$ miles per hour

the statement is false

because the speed is $60\ miles/hour$

case c) the unit rate for the trip is $60\ miles/hour$

the statement is true

because the speed is equal to the slope of the linear equation

case d) it took $20$ minutes to go the first $20$ miles

the statement is true

because

substitute

for $x=20\ minutes=(1/3)\ hour$

find the value of y in the linear equation

$y=60(1/3)=20\ miles$ > is correct

Answer from: Quest

it is definatly the 3rd one. very much looks like it, for a good chance, the third one would be best for you.

8(4)^8=72^feet to say that the total can conclude to 8(4) which as you know would mean 8 x 4. that equals 32w. 32^ could make a 72 answer as well. but your coefficent will remain w so your answer is 72w.

you!

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