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2 years ago

Find the slope of the line represented by the data below slope=

Mathematics

2 answers:

Valentin [98]2 years ago

7 0

QUËSTIONS:- find the slope of the line represented by the data

ANSWER:-

$SLOPE = \frac{y2 -y1}{x2 - x1} \\ SLOPE = \frac{3 - 9}{4 - 2}$

$SLOPE = \frac{ - 6}{2} \\ SLOPE = - 3 \: \: ans$

Ymorist [56]2 years ago

7 0

Answer:

-3

Step-by-step explanation:

Slope(m)=-6/2

=-3/1

=-3

Hope this helps!

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A city council consists of eight Democrats and eight Republicans. If a committee of six people is selected, find the probability

saw5 [17]

Answer:

39.16% probability of selecting three Democrats and three Republicans

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the people are selected is not important. So we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes:

3 Democrats, from a set of 8.

3 Republicans, from a set of 8.

$D = C_{8,3}*C_{8,3} = (C_{8,3})^{2} = (\frac{8!}{3!5!})^{2} = 56^2 = 3136$

Total outcomes:

6 people from a set of 16.

$T = \frac{16!}{6!10!} = 8008$

Probability:

$p = \frac{D}{T} = \frac{3136}{8008} = 0.3916$

39.16% probability of selecting three Democrats and three Republicans

5 0

2 years ago

What are the coordinates of the vertices of the image of

Umnica [9.8K]

<u>Answer:</u>

W (-1, 4) ---> W' (-4, -1)

X (-1, 2) ---> X' (-2, -1)

Y (2, 2) ---> Y' (-2, 2)

Z (2, 4) ---> Z' (-4, 2)

<u>Step-by-step explanation:</u>

We are given the graph with a rectangular figure WXYZ and we are to find the coordinates of its vertices W'X'Y'Z' after the transformation of 90° rotation.

We know that, the rule for 90° rotation of a point (x, y) gives (-y, x).

So,

W (-1, 4) ---> W' (-4, -1)

X (-1, 2) ---> X' (-2, -1)

Y (2, 2) ---> Y' (-2, 2)

Z (2, 4) ---> Z' (-4, 2)

3 0

3 years ago

Read 2 more answers

Consider the following set of equations:

leva [86]

Infinite solutionsthats what i think it is

8 0

3 years ago

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Please help meeee I have 20 minutes to turn this in

lana66690 [7]

Answer:

RSU = 75.2°

Step-by-step explanation:

this is because:

⇒ RSU = RST + TSU

⇒ RSU = 48 + 27.2

⇒ RSU = 75.2°

Hence proved

6 0

3 years ago

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Drag each tile to the correct box. not all tiles will be used.

lana66690 [7]

Answer:

$y=\frac{13}{6}x$ $y= \frac{11}{5}x$ $y = \frac{21}{9}x$ $y = \frac{19}{8}x$

Step-by-step explanation:

Given

The attached graph

Required

Equations with higher unit rate

First, calculate the unit rate of the graph

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

Where:

$(x_1.y_1) = (0,0)$

$(x_2.y_2) = (7,15)$

So:

$m = \frac{15 - 0}{7 - 0}$

$m = \frac{15}{7}$

$m = 2.143$

For the given options.

The unit rate is the coefficient of x

So: $y = \frac{19}{8}x$

Going by the above definition of unit rate.

$m = \frac{19}{8}$

$m = 2.375$

$y = \frac{27}{13}x$

$m = \frac{27}{13}$

$m = 2.077$

$y = \frac{21}{9}x$

$m = \frac{21}{9}$

$m = 2.333$

$y= \frac{11}{5}x$

$m= \frac{11}{5}$

$m= 2.20$

$y = \frac{15}{7}x$

$m = \frac{15}{7}$

$m = 2.143$

$y = \frac{31}{15}x$

$m = \frac{31}{15}$

$y = 2.067$

$y=\frac{13}{6}x$

$m=\frac{13}{6}$

$m=2.167$

The unit rates grater than the graph's from small to large are:

$y=\frac{13}{6}x$ $y= \frac{11}{5}x$ $y = \frac{21}{9}x$ $y = \frac{19}{8}x$

$m=\frac{13}{6}$ $m= \frac{11}{5}$ $m = \frac{21}{9}$ $m = \frac{19}{8}$

4 0

3 years ago

Read 2 more answers