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docker41 [41]
2 years ago
14

Logan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data

sets shown are trueLogan wants to move to a new city. He gathered graphs of temperatures for two different cities. Which statements about the data sets shown are true?
City A

A box-and-whisker plot. The whiskers have a range of 10 and the box has a range of 3.

City B

A box-and-whisker plot. The whiskers have a range of 18.5 and the box has a range of 9.5.
City A is likely to have a colder temperatures because the interquartile range is smaller than that of City B.
City A is likely to have temperatures that remain fairly constant year round because it has a compact interquartile range compared to that of City B.
City A is likely to have very hot days and extreme temperatures because the mean is larger than that of City B.
City B is likely to have more warm days than City A because the maximum value is greater.
City B is likely to have more extreme temperatures with colder days in winter and hotter days in summer because the range is greater than that of A.
City B is likely to have more lower temperatures than City A because the median for City B is lower.
Mark this and return
Mathematics
2 answers:
Bad White [126]2 years ago
7 0

Answer:

The correct options are;

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A

Step-by-step explanation:

Here we have for City A

Maximum - Minimum = 10

Interquartile range =3

City B

Maximum - Minimum = 18.5

Interquartile range =9.5

Therefore, City A is likely to have temperatures that remain fairly constant all year round because it has a compact interquartile range compared to that of City B

City B is likely to have more extreme temperatures with colder days in the winter and hotter days in the summer because the range is greater than that of A.

Y_Kistochka [10]2 years ago
7 0

Answer:a and d

Step-by-step explanation:

I took the test

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Paraphin [41]

we know that

If two lines are parallel, then, their slopes are equal.

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we will proceed to calculate the slope in each case, to determine the solution of the problem

<u>Case A)</u> Point B(5,2)\ C(7,-5)

Find the slope BC

Substitute the values in the formula

m=\frac{-5-2}{7-5}


m=\frac{-7}{2}


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so

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therefore

<u>the answer Part A) is</u>

B(5,2)\ C(7,-5) ------> y=-3.5x-15

<u>Case B)</u> Point D(11,6)\ E(5,9)

Find the slope DE

Substitute the values in the formula

m=\frac{9-6}{5-11}


m=\frac{3}{-6}


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so

The equation y=-0.5x-3 is parallel to the line passing through the points D(11,6)\ E(5,9)

therefore

<u>the answer Part B) is</u>

D(11,6)\ E(5,9) ------> y=-0.5x-3

<u>Case C)</u> Point F(-7,12)\ G(3,-8)

Find the slope FG

Substitute the values in the formula

m=\frac{-8-12}{3+7}  

m=\frac{-20}{10}


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Any linear equation with slope m=-2 will be parallel to the line passing through the points F(-7,12)\ G(3,-8)

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Substitute the values in the formula

m=\frac{9-4}{8-4}


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The equation y=1.25x+4 is parallel to the line passing through the points H(4,4)\ I(8,9)

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<u>the answer Part D) is</u>

H(4,4)\ I(8,9) ------> y=1.25x+4

<u>Case E)</u> Point J(7,2)\ K(-9,8)

Find the slope JK

Substitute the values in the formula

m=\frac{8-2}{-9-7}


m=\frac{6}{-16}


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Any linear equation with slope m=-0.375 will be parallel to the line passing through the points  J(7,2)\ K(-9,8)

<u>Case F)</u> Point L(5,-7)\ M(4,-12)

Find the slope LM

Substitute the values in the formula

m=\frac{-12+7}{4-5}


m=\frac{-5}{-1}


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The equation y=5x+19 is parallel to the line passing through the points L(5,-7)\ M(4,-12)

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<u>the answer Part F) is</u>

L(5,-7)\ M(4,-12) ------>  y=5x+19




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abruzzese [7]

Answer:

The total number of slices is 92

Step-by-step explanation:

we know that

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step 1

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0.30(10)=3 pizzas

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3(12)=36 slices

step 2

70% of the pizzas have 8 slices each

so

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step 3

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What is the area of the composite figure whose vertices have the following coordinates? (−2, −2) , (3, −2) , (5, −4) , (1, −8) ,
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1 year ago
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If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this
otez555 [7]

Answer:

10

Step-by-step explanation:

If there is a direct relation between two variables x and y then it can be represented as

y = kx ,

where y is dependent variable

x is  independent variable

k is constant of variation

_____________________________

First condition

y = 400

x = r

using y = kx then relationship will be

400 = kr

finding k here

k = 400/r

Second condition

y = r

x = 4

using y = kx then relationship will be

r = 4k

finding k

k = r/4

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Thus, 40 is the value of r

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Thus, constant of variation is 10 which is correct choice.

To cross validate

k = 400/r = 400/40 = 10

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1 year ago
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