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3 years ago

15

In a group of 20 students there are 12 boys and 8 girls 4 of the boys play on foot ball team what is the probability of choosing

1 student at random from the group who is not on football team

1 answer:

Tems11 [23]3 years ago

3 0

Answer:

There is a 1 in 5 chance. (1/5)

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Construct 3 linear equation starting with qiven solution z = 1/3

Andreyy89

Answer:

(a) $9z+2=5$

(b) $21z-11=-4$

(c) $4z=2-2z$

Step-by-step explanation:

We are required to construct 3 linear equations starting with the given solution z = 1/3.

<u>Equation 1</u>

<u /> $z=\frac{1}{3}$ <u />

Multiply both sides by 9

$9z=\frac{1}{3}\times 9\\9z=3$

Rewrite 3 as 5-2

9z=5-2

Add 2 to both sides

Our first equation is: $9z+2=5$

<u>Equation 2</u>

<u /> $z=\frac{1}{3}$ <u />

Multiply both sides by 21

$21z=\frac{1}{3}\times 21\\21z=7$

Rewrite 7 as 11-4

21z=11-4

Subtract 11 from both sides

Our second equation is: $21z-11=-4$

<u>Equation 3</u>

<u /> $z=\frac{1}{3}$ <u />

Multiply both sides by 6

$6z=\frac{1}{3}\times 6\\6z=2$

Rewrite 6z as 4z+2z

4z+2z=2

Subtract 2z from both sides

Our third equation is: $4z=2-2z$

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In the statement "height is a function of weight," which variable is the input and which is the output?

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Input is weight and output is height

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Kristin drew a triangle with 2 congruent sides and 1 obtuse angle. Which term best describes the triangle mark all that appl. A

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Complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k

KonstantinChe [14]

Equation $x^2+4x+2$ is converted to $1(x-(-2))^2-2$

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

We need to complete the square to transform the expression x^2+4x+2 into the form a(x-h)^2+k . Let's do this :

We have , following equation to convert as :

⇒ $x^2+4x+2$

⇒ $(x+2)^2-2$

⇒ $1(x+2)^2-2$

⇒ $1(x+2)^2-2$

⇒ $1(x-(-2))^2-2$

Comparing this to equation a(x-h)^2+k we get :

$a=1\\h=-2\\k=-2$

Therefore , Equation $x^2+4x+2$ is converted to $1(x-(-2))^2-2$ .

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