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3 years ago

Write an equation of the line passing through point p(-2,6) that is parallel to the line x=-5

Mathematics

1 answer:

padilas [110]3 years ago

5 0

Answer:

The graph of the line x = -2 is also attached below.

Step-by-step explanation:

Given the line

x=-5

x=-5 represents the vertical. We know that the slope of a vertical line is undefined. Thus, the slope of x=-5 is undefined.

Since parallel lines have the same slopes, it means the line which is supposed to be the parallel line to the given line and passing through p(-2, 6) must also be in the form (x = a).

As the line passes through (-2, 6). As the line is vertical, meaning no matter what the value of y is, the x-value remains the same.

Thus, the equation of the line would be x = -2

The graph of the line x = -2 is also attached below.

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Suppose a box of Cracker Jacks contains one of 5 toy prizes: a small rubber ball, a whistle, a Captain America decoder ring, a r

lakkis [162]

Answer:

11.42 boxes

Step-by-step explanation:

For the first box bought, there is a 100% chance of getting a unique toy (since you still don't have any). E₁ = 1.

After that, there is a 4 in 5 chance of getting a unique toy from the next box, the expected number of boxes required is:

$E_2 = (\frac{4}{5})^{-1} = 1.25$

For the next unique toy, there is now a 3 in 5 chance of getting it:

$E_3 = (\frac{3}{5})^{-1} = 1.67$

Following that logic, there is a 2 in 5 chance of getting the 4th unique toy:

$E_4 = (\frac{2}{5})^{-1} = 2.5$

Finally, there is a 1 in 5 chance to get the last unique toy:

$E_5 = (\frac{1}{5})^{-1} = 5$

The expected number of boxes to obtain a full set is:

$E=E_1+E_2+E_3+E_4+E_5\\E=1+1.25+1.67+2.5+5\\E=11.42\ boxes$

5 0

3 years ago

The probability that Latisha orders french fries at lunch is .32 and the probability that she orders a grilled cheese and fries

EastWind [94]

There is a typo error in the last part of the question. The corrected part is-

"If the probability that she orders just a grilled cheese sandwich is .76, what is the probability that she will order a grilled cheese or fries?"

Answer:

The probability that she will order a grilled cheese sandwich or fries is <u>0.43.</u>

Step-by-step explanation:

Given:

Probability of ordering fries is, $P(F)=0.32$

Probability of ordering cheese sandwich is, $P(S)=0.76$

Probability of ordering both sandwich and fries is, $P(F\cap S)=0.65$

Probability of ordering cheese sandwich or fries is given by the union of both the events 'F' and 'S' given as $P(F\cup S)$ .

Now, using addition theorem of probability, we get:

$P(F\cup S)=P(F)+P(S)-P(F\cap S)\\P(F\cup S)=0.32+0.76-0.65\\P(F\cup S)=0.43$

Therefore, probability of ordering cheese sandwich or fries is 0.43.

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3 years ago

A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o

DENIUS [597]

To answer this question you will use ratios. The information given gives us a part to part ratio of 1 part vinegar for every 3 parts oil.

Because the total amount of furniture polish is 30 ounces, we will need to write one part vinegar to three parts oil as a part to part to whole ratio.

Use this information then and create an equivalent ratio with a total of 30 ounces. See below.

1 vinegar (x7.5) = 7.5 ounces
3 oil. (X7.5). = 22.5 ounces
4 total (x7.5). = 30 ounces

You will need 7.5 ounces of vinegar and a 22.5 ounces of oil.

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3 years ago

How do you do advanced order of operations? Need help on my homework!

Licemer1 [7]

Order of Operations = PEMDAS

Parentheses
Exponents
Multiplication
Division
Addition
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3 years ago

What types of erosion creates caves?

pishuonlain [190]

Caves are formed by the dissolution of limestone. Rainwater picks up carbon dioxide from the air and as it percolates through the soil, which turns into a weak acid. This slowly dissolves out the limestone along the joints, bedding planes and fractures, some of which become enlarged enough to form caves.

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3 years ago