All categories

2 years ago

The box-and-whisker plot below represents some data set. What percentage of the

Mathematics

1 answer:

myrzilka [38]2 years ago

4 0

Answer:

25 percent; each section of the box plot counts as 25%

You might be interested in

A. Write an equation that compares Tom sand Ann's ages.b. Draw a graph to represent theequation

kompoz [17]

a. The equation that relates Ann's age (x) and Tom's age (y) is a line

The slope-intercept form of a line is:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line that passes through the points (x1, y1) and (x2, y2) is computed as follows:

$m=\frac{y_2-y_1}{x_2-x_1}$

From the table, the line passes through the points (4, 8) and (8, 12), then its slope is:

$m=\frac{12-8}{8-4}=\frac{4}{4}=1$

Substituting with m = 1 and the point (4, 8) into the general equation, we get:

8 = 1(4) + b

8 = 4 + b

8 - 4 = b

4 = b

Finally, the equation that compares Tom's and Ann's age is:

y = x + 4

b. To graph the line y = x + 4, we need to draw two points and then connect them with a line. Replacing with x = 0 into the equation:

y = 0 + 4

y = 4

then, the point (0, 4) is on the line. And we can also use the point (4,8)

3 0

11 months ago

On a number line, A is at -2 and B is at 4. What is the coordinate of C, which is 2/3

STatiana [176]

Answer:

Step-by-step explanation:

The distances have the ratio:

(C -A) = (2/3)(B -A)

C = (2/3)B +(1/3)A . . . . . add A

C = (2B +A)/3 . . . . . . . . combine terms

C = (2(4) +(-2))/3 = 6/3 = 2

The coordinate of C is 2.

7 0

3 years ago

A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas

-BARSIC- [3]

Answer:

392 miles in all.

3 0

2 years ago

1. Find 3 equivalent fraction for the following: a) 5/6 b) 7/11 c) 9/7

SOVA2 [1]

Answer:

Step-by-step explanation:

To find equivalent fractions, multiply the numerator and the denominator by the same table.

a) 5/6

$\frac{5*2}{6*2}=\frac{10}{12}\\\\\frac{5*3}{6*3}=\frac{15}{18}\\\\\frac{5*4}{6*4}=\frac{20}{24}$

b) 7/11

$\frac{7*3}{11*3}=\frac{21}{33}\\\\\frac{7*4}{11*4}=\frac{28}{44}\\\\\frac{7*5}{11*5}=\frac{35}{55}$

c)9/7

$\frac{9*2}{7*2}=\frac{18}{14}\\\\\frac{9*5}{7*5}=\frac{45}{35}\\\\\frac{9*10}{7*10}=\frac{90}{70}$

8 0

3 years ago

The coordinates of the vertices of a rectangle are (−3, 4) , (7, 2) , (6, −3) , and (−4, −1) . What is the perimeter of the rect

ki77a [65]

Answrer

Find out the what is the perimeter of the rectangle .

To prove

Now as shown in the figure.

Name the coordinates as.

A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .

In rectangle opposite sides are equal.

Thus

AB = DC

AD = BC

Formula

$Disatnce\ formula = \sqrt{(x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2}}$

Now the points A(−3, 4) and B(7, 2)

$AB = \sqrt{(7- (-3))^{2} +(2- 4)^{2}}$

$AB = \sqrt{(10)^{2} +(-2)^{2}}$

$AB = \sqrt{100+4}$

$AB = \sqrt{104}$

$AB = 2\sqrt{26}\units$

Thus

$CD= 2\sqrt{26}\units$

Now the points

A (−3, 4) , D (−4, −1)

$AD = \sqrt{(-4 - (-3))^{2} +(-1- 4)^{2}}$

$AD = \sqrt{(-1)^{2} +(-5)^{2}}$

$AD = \sqrt{1 + 25}$

$AD = \sqrt{26}\units$

Thus

$BC = \sqrt{26}\units$

Formula

Perimeter of rectangle = 2 (Length + Breadth)

Here

$Length = 2\sqrt{26}\ units$

$Breadth = \sqrt{26}\ units$

$Perimeter\ of\ rectangle = 2(2\sqrt{26} +\sqrt{26})$

$Perimeter\ of\ rectangle = 2(3\sqrt{26})$

$Perimeter\ of\ rectangle = 6\sqrt{26}$

$\sqrt{26} = 5.1 (Approx)$

$Perimeter\ of\ rectangle = 6\times 5.1$

Perimeter of a rectangle = 30.6 units.

Therefore the perimeter of a rectangle is 30.6 units.

8 0

2 years ago