How do I solve this problem using the substitution method?

( 13points)Help!!!

sammy [17]

Answer:

I believe your answer should be D. I am so sorry if it's wrong but it makes the most sense to my eyes. Hope it helps <3

7 0

3 years ago

How do you write 8.65 as a mixed number?

Afina-wow [57]

8 65/100 is the answer

6 0

4 years ago

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Consider a machine that fills 275 gallon tanks of water. The owner discovers that the machine does not always dispense exactly 2

fenix001 [56]

Answer:

(a) The random variable X is a continuous random variable.

(b) The probability density function is shown below.

(c) The probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.

Step-by-step explanation:

Let the random variable X be denoted as the amount of water filled by the machine in a 275 gallon tank.

(a)

The random variable X is a continuous random variable.

A continuous random variables assumes infinite values. That is, they assume values in a fixed interval. For example, the distance covered by a car.

A discrete random variable assumes fixed definite values. They assume whole number values. For example, number of customers visiting a bank in an hour.

The amount of water in the tank can be any value between 0 to 275 gallon.

Hence, the random variable X is a continuous random variable.

(b)

The probability density function of the continuous random variable X is given as follows:

$0.25;\ 272$

$f_{X}(x) =0.20;\ 273$

$0.55;\ 274$

(c)

Compute the value of P (272.5 < X < 273.8) as follows:

$P(272.5$

Thus, the probability that a 275 gallon tank gets less than 272.5 gallons or more than 273.8 gallons of water is 0.285.

4 0

3 years ago

A cooler contains ten bottles of sports drink: four lemon-lime flavored, three orange-flavored, and three fruit-punch flavored.

Alika [10]

Since there are a total of 10 bottles, the probability of getting a certain one is based on the number of those bottles in the cooler.

The probability of getting a lemon-lime flavored drink is 4/10 or 40%.

The probability of getting a orange flavored drink is 3/10 or 30%

The probability of getting a fruitpunch flavored drink is also 3/10 or 30%.

If the question is asking what the probability is of choosing lemon-lime, fruit punch and fruit punch again in that order, you would multiply the probabilities together.

.4 * .3 * .3 = .036, so there’s a 3.6% chance of picking these exact 3 flavors happening again.

6 0

3 years ago

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The Greens are moving. Their real estate agent located 81 houses listed for sale in their price range. Of those houses listed fo

poizon [28]

Answer:

We know that:

There is a total of 81 houses:

51 had a finished basement.

56 had a three-car garage.

37 had a finished basement and a three-car garage.

a) How many had a finished basement but not a three-car garage?

51 had a finished basement, and 37 have a finished basement and the garage, then:

51 - 37 = 14 hoses have only the basement.

b) How many had a three-car garage but not a finished basement?

Same reasoning as above:

56 - 37 = 19 houses only have the garage.

c) How many had either a finished basement or a three-car garage?

Now we only count the ones that have one finished thing, in this case, we already found the number of houses that have only the garage or only the basement, then the number of houses that either had a finished basement or a finished garage is:

19 + 18 = 37 houses.

7 0

4 years ago