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3 years ago

What inequality represents the verbal expression? all real numbers less than 70

Mathematics

1 answer:

neonofarm [45]3 years ago

5 0

For this case we have:

Let x be the variable that belongs to the real numbers. Then, all reals less than 70 can be expressed as:

$x$

The tip of the inequality is directed to the real numbers, since they tell us that they are less than 70, for 70 the inequality remains open.

Answer:

$x$

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The box-and-whisker plot below shows the numbers of text messages received in one day by students in the seventh and eighth grad

Leya [2.2K]

<h3><u>Answer with explanation:</u></h3>

From the box and whisker plot of seventh grade we have:

The minimum value =6

First quartile or lower quartile i.e. $Q_1$ = 14

Median or second quartile i.e. $Q_2$ = 18

Third quartile or upper quartile i.e. $Q_3$ =22

and maximum value = 26

From the box and whisker plot of eighth grade we have:

The minimum value =22

First quartile or lower quartile i.e. $Q_1$ = 26

Median or second quartile i.e. $Q_2$ = 30

Third quartile or upper quartile i.e. $Q_3$ = 34

and maximum value = 38

The overlap of the two sets of data is as follows.

The upper quartile or third quartile of seventh grade is same as the minimum value of the data of eighth grade.
And the maximum value of seventh grade is same as the lower quartile of eighth grade.

IQR is calculated as the difference of the Upper quartile and the lower quartile

i.e. $Q_3-Q_1$

so, IQR of seventh grade is:

22-14=8

IQR of seventh grade=8

IQR of eighth grade is:

34-26=8

Hence, IQR of eighth grade=8

The difference of the median of the two data sets is:

30-18=12

Hence, the difference of median is: 12

As the IQR of both the sets is same i.e. 8.

Hence, the number that must be multiplied by IQR so that it is equal to the difference between the medians of the two sets is:

$8\times n=12\\\\n=\dfrac{12}{8}\\\\n=\dfrac{3}{2}\\\\n=1.5$

Hence, the number is : 1.5

6 0

3 years ago

HELP PLSSSSS

ludmilkaskok [199]

Answer:

a=21

AB=23.9

BC=19.5

CD=(23.9)

AD=19.5

Step-by-step explanation:

Each pair of parallel sides are equal in a parallelogram. Sense both pairs use the same variable we can just choose the easiest to solve which would be:

a-1.5=19.5

add 1.5 to both sides

a=21

now substitute 21 in for a in each equation.

AB=CD so

AB=23.9

BC=AD so

BC=19.5

CD=(21)+2.9 so

CD=(23.9)

AD is given so

AD=19.5

4 0

2 years ago

A loan of $8 000 was repaid in 2 years in

Anika [276]

Answer:

P = 8000

t = 2

I = p × r × t

400 = 8000 × r/100 × 2

r = 400/160 per year

r = 40/16 = 2.5 %

3 0

3 years ago

Read 2 more answers

Could someone pretty please help me on this. I need explanation.

astraxan [27]

Answer:

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... A slope with a greater absolute value indicates a steeper line. The direction of a line is either increasing, decreasing, horizontal or vertical.

Step-by-step explanation:

here are a few more things you might want to know will douing this

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When you look at the two lines, you can see that the blue line is steeper than the red line. It makes sense the value of the slope of the blue line, 4, is greater than the value of the slope of the red line, . The greater the slope, the steeper the line.

Can you create a line segment with infinite steepness?

An infinite slope is simply a vertical line. When you plot it on a line graph, an infinite slope is any line which runs parallel to the y-axis. You can also describe this as any line that doesn't move along the x-axis but stays fixed at one constant x-axis coordinate, making the change along the x-axis 0.

How does rate of change affect the steepness of a line?

The steepness of a line is essentially the slope. ... A negative slope would be depicted by a line going from the upper left to bottom right. Slope values increase the higher the number is: For instance, a line with a slope of 2 is steeper than a line with a slope of 12 . Hope this helps!Jun 20, 2018

What are the 3 slope formulas?

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

What is a 6% grade?

A road sign indicating a 6% grade, or 6% slope. A six percent slope means that the road elevation changes 6 feet for every 100 feet of horizontal distance (Figure 1.3). ... A road climbs at a gradient of 6 percent. The road gains 6 feet in elevation for every 100 feet of horizontal distance.

What does the slope represent?

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y. The slope indicates the rate of change in y per unit change in x.

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3 0

3 years ago

25 pointssss !!!!!!!!!

Reptile [31]

Answer:

Dion needs to add 10% of the solution

4 0

3 years ago