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3 years ago

Which of the following describes a compound event?

Mathematics

1 answer:

Bess [88]3 years ago

4 0

B. "rolling a 3 on a die and getting heads on a coin toss"

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What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

2 years ago

Read 2 more answers

Solve using substitution or elimination. y = x + 1 2x - 5y = 4

andrew-mc [135]

Substitute y = x + 1 into 2x - 5y = 4

-3x - 5 = 4

Solve for x in -3x - 5 = 4

x = -3

Substitute x = -3 into y = x + 1

y = -2

Therefore,

x = -3

y = -2

5 0

3 years ago

What is the slope for the following equation 9x + 2y = 9

MArishka [77]

Slope of the equation is -9/2

Step-by-step explanation:

Step 1: Write the equation in slope-intercept form y = mx + b

9x + 2y = 9

2y = -9x + 9

y = -9/2 x + 9/2

⇒ Slope, m = -9/2

7 0

3 years ago

Please help I need to turn this in

sesenic [268]

Can’t see the pictures

5 0

3 years ago

2. Mikel eats 22 ounces of candy in 11 days.

Sergeu [11.5K]

Answer:

22/11=2 2x8=16

16 ounces = 1 pound

Step-by-step explanation:

a. 2 ounces per day

b. 8 days to eat 1 pound of cady

3 0

2 years ago