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3 years ago

A high school club has 10 members who are seniors and 8 members who

Mathematics

1 answer:

Taya2010 [7]3 years ago

6 0

Answer:

The probability that the person will not be a senior

P(E⁻) = 1 - P(E)

= $1- \frac{5}{9} = \frac{4}{9}$

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A high school club has 10 members who are seniors and 8 members who are juniors

n(S) = 10 + 8 = 18

If a member is randomly selected to be the club president

Let 'E' be the event that the person will be a senior

The probability that the person will be a senior

$P(E) = \frac{n(E)}{n(S)}$

$P(E) = \frac{n(E)}{n(S)} = \frac{10}{18} = \frac{5}{9}$

The probability that the person will not be a senior

P(E⁻) = 1 - P(E)

= $1- \frac{5}{9} = \frac{4}{9}$

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A group of friends are at a baseball game and are purchasing souvenirs. Dustin purchased 5 t-shirts and 1 baseball cap, spending

Inessa [10]

Answer:

Shirt-$19

Cap-$24

Step-by-step explanation:

5s+1c=119

1s+1c=43

1c=43-1s

substitute:

5s+(43-1s)=119

5s+43-1s=119

4s=119-43

4s=76

1s=19

substitute:

1c=43-(19)

1c=24

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3 years ago

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hichkok12 [17]

Answer:

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Step-by-step explanation:

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3 years ago

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Which products result in a perfect square trinomial? Select three options.

Kazeer [188]

Answer:

Second option: $(xy+x)(xy+x)$

Third option: $(2x-3)(-3+2x)$

Fifth option: $(4y^2+25)(25+4y^2)$

Step-by-step explanation:

By definition, a perfect square trinomial can be obtained by squaring binomials.

Then:

$(a+b)^2=(a+b)(a+b)=a^2+2ab+b^2\\\\(a-b)^2=(a-b)(a-b)=a^2-2ab+b^2$

Knowing this, to obtain a perfect square trinomial, the binomials that you multiply must be equals.

Therefore, the products result in a perfect square trinomial are:

$(xy+x)(xy+x)=(xy+x)^2=(xy)^2+2(xy)(x)+x^2=x^2y^2+2x^2y+x^2$

$(2x-3)(-3+2x)=(2x-3)^2=(2x)^2-2(2x)(3)+3^2=4x^2-12x+9$

$(4y^2+25)(25+4y^2)=(4y^2+25)^2=(4y^2)^2+2(4y^2)(25)+25^2=16y^4+200y^2+625$

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3 years ago

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Explain how to solve -4(1.75 + x) =18

kobusy [5.1K]

Answer:

first change any decimal to a whole. -4(175+x)=18. Then times -4 by 175 and x, -700+ 4x =18. Then add +700 to -700 which equals just 4x ,then add +700 to 18, which is 4x = 718. then divide both sides by 4 and estimate. x= 180

Step-by-step explanation:

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3 years ago

Which equations have the same value as 3/5 (30x-15)=72 select 3

const2013 [10]

Answer:

x=4.5

Step-by-step explanation:

Given the equation $\frac{3}{5}(30x-15)=72$ , we simplify as:

$\frac{3}{5}(30x-15)=72\\\\18x-9=72$

#We further simplify as multiples of 9(divide by 9 to solve for x):

$18x-9=72\\\\2x-1=8\\\\2x=9\\\\x=4.5$

Hence, from our simplification the equation has the same value as x=4.5

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3 years ago