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3 years ago

Find the distance between the two points. (−4, 7), (4, 0)

1 answer:

3 0

Distance² = (difference in 'y')² + (difference in 'x')²

=   (0 - 7)² + (4 + 4)²

   =    49 +    64

   = 113

Distance = √113 = approx. 10.63 (rounded)

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Nam owns a used car lot. He checked the odometers of the cars and recorded how far they had driven. He then created both a histo

Scilla [17]

Answer:

(a) The correct option is (A).

(b) The correct option is (B).

Step-by-step explanation:

Nam collected the data for the distance traveled by all the cars in his car lot.

(a)

A histogram is a bar graph representing the distribution of a random variable. The height of the bars of the histogram represents the frequency for a specific interval.

If Nam wants to know how many vehicles had driven more than 200,000 km, the histogram would be the best display of this data. This is because the histogram shows the frequency for various interval values.

The correct option is (A).

(b)

A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,

Minimum (shown at the bottom of the chart)
First Quartile (shown by the bottom line of the box)
Median (or the second quartile) (shown as a line in the center of the box)
Third Quartile (shown by the top line of the box)
Maximum (shown at the top of the chart).

So, if Nam wants to find whether the median distance was approximately 140,000 km, a box plot would be a better choice. This is because the box plot represents the median of the data by a line within the box.

The correct option is (B).

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3 years ago

Read 2 more answers

76.98 divided by 45.2

Stella [2.4K]

Answer:

1.7030973451327434

Step-by-step explanation:

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3 years ago

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PLEASE HELP CORRECT ANSWERS ONLY!!

mariarad [96]

Answer:

Associative Property of Reciprocals

5 0

3 years ago

Is 5x+7=x-2 a one solution?

il63 [147K]

5x-x=-2-7
4x=-9
x=2/3 or x=-2/3
Since there are 2 answers, it is not one solution.

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3 years ago

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Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at th

Jobisdone [24]

Answer:

Area of the polygon = 59 in²

Explanation:

From the given diagram, we can note that the given polygon is composed of an upper triangle, a side triangle and a rectangle

Therefore:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

1- getting the area of the upper triangle:

We have:

base of triangle = 7 in

height of triangle = 6 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*7*6=21$ in²

2- getting the area of the side triangle:

We have:

base of triangle = 4 in

height of triangle = 5 in

Therefore:

Area of upper triangle = $\frac{1}{2}*base*height = \frac{1}{2}*4*5=10$ in²

3- getting the area of the rectangle:

We have:

length of rectangle = 7 in

width of rectangle = 4 in

Therefore:

Area of rectangle = length x width = 7 x 4 = 28 in²

4- getting the total area of the polygon:

Area of polygon =

area of upper triangle + area of side triangle + area of rectangle

Therefore:

Area of polygon = 21 + 10 + 28 = 59 in²

Hope this helps :)

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3 years ago