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kolezko [41]
3 years ago
15

Linda's income, in thousands of dollars, is given by the function f(x) = 40x + 10, where x is the number of years. Her expenses,

in thousands of dollars, each year is given by the function g(x) = 25x + 5.
Which function best describes the amount she is able to put into savings, h, each year, in thousands of dollars?

h(x) = 65x + 15
h(x) = (40x + 10)(25x + 5)
h(x) = -15x - 5
h(x) = 15x + 5
Mathematics
2 answers:
Pani-rosa [81]3 years ago
7 0

the correct answer for plato is h(x) = 15x + 5.

SashulF [63]3 years ago
4 0
<span>The function best describes the amount she is able to put into savings, h, each year, in thousands of dollars is </span><span>h(x) = 15x + 5.</span>
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he marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. Each person sa
Nat2105 [25]

50% of those who liked orange flavored soda also like lime flavored soda according to the conditional probability.

According to the statement

we have given that the in the survey 70% of the people surveyed said they like the orange flavored soda and 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda.

And we have to find the conditional probability about this given statement.

So, We know that the

Let A and B represents the following events.

A : The people like the orange flavored soda.

B : The people like the lime flavored soda.

It is given that 70% of the people surveyed said they like the orange flavored soda.

so, P(A) = 0.70

And 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda.

So, P(A ∩ B ) = 0.35

A. Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

And

B. The formula for conditional probability is is written below:

P(A/B) = P(A ∩ B ) / P (B)

And

C. We need to find the percent of those who liked orange flavored soda also like lime flavored soda.

Use the above written conditional probability formula then

Substitute P(A)=0.70 and P(A∩B)=0.35 in the above formula.

So,

P(B/A) = P(A ∩ B ) / P (A)

P(B/A) = 0.35 / 0.70

P(B/A) = 0.50

So, 50% of those who liked orange flavored soda also like lime flavored soda according to the conditional probability.

Learn more about conditional probability here

brainly.com/question/23382435

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. 70% of the people surveyed said they like the orange flavored soda. 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda. Using this information and the Text Editor, answer the following questions:

1.What is conditional probability?

2.Explain the formula for conditional probability.

3.Explain how to solve this example.

What percent of those who liked orange flavored soda also like lime flavored soda, and how did you come to that conclusion?

#SPJ4

5 0
2 years ago
the length of a side of a square is 10x+4 units. If the perimeter is 96 units. What is the area of the square?​
dmitriy555 [2]

Answer:

576 Units

Step-by-step explanation:

The way your teacher wants you to do it:

1. We know that multiplying a length by four gives us the perimeter of a square.

1a. Thus, we multiply the given length by four. 4(10x+4)=40x+16

1b. We know the perimeter is 96. So: 40x+16=96

2. Solving for x, we get x=2

3. Plugging our solved x into the given length  (10x+4), we see that the length of a side of the square is 10*2+4=24.

4. We know that the area of a square can be found by squaring the side of a square.

4a. 24*24=576.

5. The area is 576 units.

--------------------------------------------------------------

Easier Solution:

1. We know that the perimeter is length*4.

2. We set L to length.

2a. 4L=96

2b. L=24

3. We know that the length square is area.

4. 24*24=576.

4 0
3 years ago
the first 10 games played of the football season how many outcome possibilities are there if the total score of each game is ove
Dmitry_Shevchenko [17]
300 total point
since there r 10 games and 30 points fatal each game then it’s 300
5 0
3 years ago
-8 3/8+6 1/4 written in simplest form
natka813 [3]

Step-by-step explanation:

-8 3/8 + 6 1/4 = -2 1/8 or you can also write -17/8

<h2>hope this help you!! ;))</h2>
3 0
3 years ago
8 batteries cost £3.99 how much does 1 cost
NemiM [27]

Answer:

1 battery cost .49875 cents, but .50 rounded

Step-by-step explanation:

Divide 3.99 by 8 and you will get .49875

4 0
3 years ago
Read 2 more answers
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