The following box plot shows the class scores on a particular math test:

box plot with number line titled Percent with 50 as the minimum, 70 as quartile 1, 75 as the median, 95 as quartile 3, and 100 as the maximum

Which of the following data sets is represented in the box plot?

{40, 50, 50, 89, 89, 100}
{50, 70, 70, 75, 75, 95, 95, 100}
{0, 50, 70, 80, 90, 100}
{70, 70, 75, 95, 95, 100}

{50, 70, 70, 75, 75, 95, 95, 100} is the data set represented in the box plot.

Given,

The minimum value is 50.

The maximum value is 100.

The median is 75.

The lower Quartile is 70.

The upper Quartile is 95.

We have to find in which box plot the above data is represented.

Since in option A, C and option D  the minimum value is 40, 0 and 70 respectively. so the above data is not in these options.

Now check only option B for further details.

Th median of option B is

Its lower quartile is also 70 and upper quartile is 90.

Hence the option B is correct.

For more details on median follow the link:

link

{50, 70, 70, 75, 75, 95, 95, 100}

Step-by-step explanation:

{50, 70, 70, 75, 75, 95, 95, 100}

Min: 50

Max: 100

Median: (75+75)/2 = 75

Q1: (70+70)/2 = 70

Q3: (95+95)/2 = 95

given : the shape of his satellite can be modeled by   where x and y are modeled in inches.

now,the given equation   is a equation of parabola.

here, coefficient of x is positive, hence the parabola opens rightwards.

on comparing this equation with standard equation , we get

in standard equation, coordinates of focus=(0,m)

thus for given equation coordinates of focus=(0,1.5)

step-by-step explanation:

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.