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2 years ago

What is the intersection of y=7 and y=1\2x+6

1 answer:

8 0

Y=7 is just a straight horizonal line that is perpendicular to the y axis at 7

and y=1/2x+6, is in y=mx+b form where m=slope and b=yintercept so

to find the intersection, yo just find when both sentances are correct so

y=7
subsitute that into y=1/2x+6

7=1/2x+6
subtract 6 from both sides
1=1/2x
multiply both sides by 2
2=x

so the point (2,7) is the intersection

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2. Trouvaughn bought b bags of oranges, which cost 80 cents per bag. If Trouvaughn paid with a

Damm [24]

Amount that trouvaughn paid : $0.80b
ten dollar bill = $10

so $(10-0.80b)

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3 years ago

In a lottery game, a player picks six numbers from 1 to 21. If the player matches all six numbers, they win 40,000 dollars. Othe

Darina [25.2K]

Answer:

The expected value of this game is -$0.26.

Step-by-step explanation:

Expected value:

Each possible earning/loss multiplied by it's probability.

Probability:

Number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Probability of winning:

Desired outcomes:

The 6 correct numbers, so $D = 6$

Total outcomes:

6 numbers from a set of 21. So

$T = C_{21,6} = \frac{21!}{6!15!} = 54264$

Probability:

$p = \frac{1}{54265}$

Expected value

$\frac{1}{54265}$ probability of earning 40,000.

$\frac{54264}{54265}$ probability of losing 1. So

$E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26$

The expected value of this game is -$0.26.

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3 years ago

Marisol is cutting a 13.5-foot plece of ribbon for a craft project. She cuts off 4.5 feet,

Nata [24]

Answer:

Each remaining piece is 2.25 ft.

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2 years ago

If 5% more than a is b, and b is 15% less than, what is the ratio of a to c? Please answer quickly.

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Answer: 24 5 + 9 = 15 + 9 = 24

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Rosa believes she can use a division expression to find the cost per pound of ground beef when 1 pound sells for $4. Which state

DiKsa [7]

Answer:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

Step-by-step explanation:

Given that

1 pound of ground beef sells for $4.

To find the cost per pound:

We need to divide the cost with the number of pounds.

i.e.

$\text{Cost per pound = }\dfrac{\text{Total Cost}}{\text{Number of pounds}}$

If 'Number of pounds' = 1, then cost per pound = Total Cost

Therefore, the above division expression can be used to find the Cost pound.

Putting the values given to find the 'Cost per pound':

$\text{Cost per pound = }\dfrac{\$4}{1} = \$4$

Therefore, Rosa's belief is correct that, a division expression can be used.

The correct answer is:

Rosa is correct in using a division expression because the term "per" implies the quotient of the quantities before and after that word.

6 0

2 years ago

Read 2 more answers