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olga55 [171]
3 years ago
10

You sell soup mixes for a fundraiser. For each soup mix you sell, the company that makes the soup receives x dollars l, and you

receive the remaining amount. You sell 16 soup mixes for a total of (16x+96) dollars. How much money do you receive for each soup mix that you sell?
Mathematics
1 answer:
Whitepunk [10]3 years ago
7 0

Answer: $ 6

Step-by-step explanation:

Here, the cost price of each soup = x dollars

The cost price of 16 soup = 16 x

The selling price of 16 soup = 16 x + 96

Since, the total money received for 16 soup = The selling price of 16 soup - The cost price of 16 soup

= 16 x + 96 - 16 x

= 96

Thus, the total money received for 16 soup = 96 dollars

⇒ The total money received for 1 soup = \frac{96}{16} dollars

⇒ The total money received for 1 soup = 6 dollars

Hence, for each soup 6 dollars is received.

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A company offers premium cable for 39.95 per month plus a one time setup fee. The total cost of 6 months of service is 264.70. W
ss7ja [257]

Answer:

Total cost = 983.8

Step-by-step explanation:

Monthly charge = 39.95

One time set up fee = x

Number of months = y

Total cost = x + 39.95y

The total cost of 6 months of service is 264.70.

264.70 = x + 39.95(6)

264.70 = x + 239.7

264.70 - 239.7 = x

x = 25

Total cost = 25 + 39.95y

Write and solve a linear equation to find the total cost for 2 years of service

2 years = 24 months

Total cost = 25 + 39.95y

= 25 + 39.95(24)

= 25 + 958.8

= 983.8

Total cost = 983.8

6 0
3 years ago
7 2/3 x 3 7/9 plz help
Maslowich
28.96
or rounded it would be 29
4 0
3 years ago
A survey said that 3 out of 5 students enrolled in higher education took at least one online course last fall. Explain your calc
marysya [2.9K]

Answer:

a) 60% probability that student took at least one online course

b) 40% probability that student did not take an online course

c) 12.96% probability that all 4 students selected took online courses.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they took at least one online course last fall, or they did not. The probability of a student taking an online course is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

3 out of 5 students enrolled in higher education took at least one online course last fall.

This means that p = \frac{3}{5} = 0.6

a) If you were to pick at random 1 student enrolled in higher education, what is the probability that student took at least one online course?

This is P(X = 1) when n = 1. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{1,1}.(0.6)^{1}.(0.4)^{0} = 0.6

60% probability that student took at least one online course.

b) If you were to pick at random 1 student enrolled in higher education, what is the probability that student did not take an online course?

This is P(X = 0) when n = 1.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{1,1}.(0.6)^{0}.(0.4)^{1} = 0.4

40% probability that student did not take an online course

c) Now, consider the scenario that you are going to select random select 4 students enrolled in higher education. Find the probability that all 4 students selected took online courses

This is P(X = 4) when n = 4.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{4,4}.(0.6)^{4}.(0.4)^{0} = 0.1296

12.96% probability that all 4 students selected took online courses.

3 0
3 years ago
Can someone help? Don’t need any working out
Novay_Z [31]
Volume= 301.6
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7 0
3 years ago
Simplify the expression:<br> 3(5+3k) whoever first gets brainliest
miss Akunina [59]

Answer:

Step-by-step explanation:

15+9k

8 0
3 years ago
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