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4 years ago

5

What is the value of x

1 answer:

bagirrra123 [75]4 years ago

5 0

Step-by-step explanation:

x+x+90=180

2x+90=180

2x=180-90

2x=90

2x/2=90/2

x=45

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After a late night of studying, Ebony decides to grab a latte before class so she can stay awake through her morning lecture. Sh

Rzqust [24]

Answer:

$P(Same\ Bill) = \frac{1}{3}$

$P(Second$

$P(Both\ Even) = \frac{1}{9}$

$Pr(One\ Odd) = \frac{4}{9}$

$P(Sum < 10) = \frac{1}{3}$

Step-by-step explanation:

Given

$Bills: \$1, \$5, \$10$

$Selection = 2\ bills$

The sample space is as follows:

This implies that we construct possible outcome that Ebony selects a bill, returns the bill and then select another.

This means that there are possibilities that the same bill is selected twice.

So, the sample space is as follows:

$S = \{(1,1), (1,5), (1,10), (5,1), (5,5), (5,10), (10,1), (10,5), (10,10)\}$

$n(S) = 9$

Solving (a): $P(Same\ Bill)$

This means that the first and second bill selected are the same.

The outcome of this are:

$Same = \{(1,1),(5,5),(10,10)\}$

$n(Same\ Bill) = 3$

The probability is:

$P(Same\ Bill) = \frac{n(Same\ Bill)}{n(S)}$

$P(Same\ Bill) = \frac{3}{9}$

$P(Same\ Bill) = \frac{1}{3}$

Solving (a): $P(Second < First\ Bill)$

This means that the second bill selected is less than the first.

The outcome of this are:

$Second < First = \{(1,5), (1,10), (5,10)\}$

$n(Second < First) = 3$

The probability is:

$P(Second$

$P(Second$

$P(Second$

Solving (c): $P(Both\ Even)$

This means that the first and the second bill are even

The outcome of this are:

$Both\ Even = \{(10,10)\}$

$n(Both\ Even) = 1$

The probability is:

$P(Both\ Even) = \frac{n(Both\ Even)}{n(S)}$

$P(Both\ Even) = \frac{1}{9}$

Solving (e): $P(Sum < 10)$

This question has missing details.

The correct question is to determine the probability that, the sum of both bills is less than 10

The outcome of this are:

$One\ Odd = \{(1,10), (5,10), (10,1), (10,5)\}$

$n(One\ Odd) = 4$

The probability is:

$Pr(One\ Odd) = \frac{n(One\ Odd)}{n(S)}$

$Pr(One\ Odd) = \frac{4}{9}$

Solving (d): $P(One\ Odd)$

This question has missing details.

The correct question is to determine the probability that, exactly one of the bills is 0dd

The outcome of this are:

$Sum < 10 = \{(1,1), (1,5), (5,1)\}$

$n(Sum < 10) = 3$

The probability is:

$P(Sum < 10) = \frac{n(Sum < 10)}{n(S)}$

$P(Sum < 10) = \frac{3}{9}$

$P(Sum < 10) = \frac{1}{3}$

3 0

3 years ago

Factor this polynomial expression.<br> x2 – 16x+64

Sladkaya [172]

x^2-16x+64

(x-8)(x-8)

x(x)*(x)(-8)*(-8)(x)(-8)(-8)

x^2-8x-8x+64

x^2-16x+64

Answer: (x-8)^2 or (x-8)(x-8)

3 0

3 years ago

Nakeisha has 42 m of fencing to build a four-sided fence around a rectangular plot of land. The area of the land is 110 square m

Maurinko [17]

Answer:

length=11 width=10

Step-by-step explanation:

Create two equations with length(l) and breath(w) as our unknowns

2l+2w=42

2l=42-2w

2l/2=(42-2w)/2

l=21-w(equation 1)

lxw=110

lw=110

Substitute equation one into equation two

(21-w)w=110

21w-w²=110

Write your equations in standard quadratic form

0=w²-21w+110

solve this as a quadriatic tri nominal

0=(w-10)(w-11)

0=w-10. or 0=w-11

10=W. 11=L

5 0

2 years ago

the strauss insurance company laid off 20% of its employees one year and then increased its staff by 12 1/2% the following year.

jekas [21]

<span>The Strauss Insurance company's net change in staff over the two-year period was a loss of twelve employees. 24 of the original 120 were laid off the first year, leaving 96, and 12 were hired the following year,</span>

7 0

4 years ago

Akira buys 10 tickets to a show. She also pays a $5 parking fee. If she spent $35 in total, how much did each ticket cost? Use x

Arte-miy333 [17]

Answer: Each ticket cost 3 dollars

Step-by-step explanation: First take 35 and subtract 5 which equals 30

then divide 30 by 10 and you get 3

7 0

3 years ago