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3 years ago

10

A school debate team has 4 girls and 6 boys. A total of 3 of the team members will be chosen to participate in the district deba

te. What is the probability that 3 girls and no boys will be selected

1 answer:

Sloan [31]3 years ago

3 0

Personally if I would of put it in a fraction it be 2/10

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Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line

DedPeter [7]

Answer:

An equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

Step-by-step explanation:

Given the points

(-2, -1) and (0, 4)

The slope between two points

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)$

$m=\frac{4-\left(-1\right)}{0-\left(-2\right)}$

$m=\frac{5}{2}$

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

$y-y_1=m\left(x-x_1\right)$

Putting the point (-2, -1) and the slope m=1 in the line equation

$y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)$

$y+1=\frac{5}{2}\left(x+2\right)$

$y=\frac{5}{2}x+4$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

so

$y=\frac{5}{2}x+4$

$\frac{5}{2}x-y=-4$

Therefore, an equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

7 0

2 years ago

Simplify the following expression. 2^2 • 2^3

sesenic [268]

Answer:

4 × 6

Step-by-step explanation:

2^2= 4 or 2 × 2= 4

2^3= 6 or 2 × 2 × 2= 6

So, 4 × 6

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3 years ago

-6 > -9<br><br> Which best explains whether the inequality is true or false?

Natali [406]

Answer:

-6 on a number line is closer to 0 which make sit greater while -9 is farther away which makes it less than -6

Step-by-step explanation:

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3 years ago

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Gennadij [26K]

Add the two together and divide the answer by 137.16 add it together

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3 years ago

triangle ABC has coordinates A(4, 1), B(2, 3), and C(7, 5). If the triangle is rotated 270° counterclockwise about the origin, w

Kitty [74]

Coordinates of a' would be (1,-4)

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3 years ago