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Olegator [25]
2 years ago
7

A coffee shop charges $2.50 for each cup of coffee and $1.50 for a cupcake. Your mom gives you $10 and ask you to buy 5 cupcakes

. State an inequality and find the maximum cup of coffee you can buy.
Mathematics
2 answers:
Arada [10]2 years ago
7 0

Answer:

you can buy only 1 cup of coffee

Step-by-step explanation:

uhhh $1.50 multiply by 5 is $7.50

and $7.50 + $2.50 is $10

Dominik [7]2 years ago
5 0

Answer:

\frac{10-7.50}{2.50}\geqc

1 cup of coffee

Step-by-step explanation:

Let's say c = coffee

5 cupcakes would cost 5*1.50 = 7.50

We can make an inequality :

\frac{10-7.50}{2.50}\geqc

Now we can solve the inequality

10 - 7.50 = 2.50

2.50/2.50 = 1

The maximum cup of coffee you can buy is 1

Hope this helps :)

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Can i get help please
Natasha2012 [34]

Answer:

Function 2 is linear

Step-by-step explanation:

It is linear because all of the numbers that in x roc is 1 and y is -4

3 0
3 years ago
It is estimated that 75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell
Mademuasel [1]

Answer:

a) 75

b) 4.33

c) 0.75

d) 3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline

e) 6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

f) Binomial, with n = 100, p = 0.75

g) 4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they do not own a landline, or they do. The probability of an young adult not having a landline is independent of any other adult, which means that the binomial probability distribution is used 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.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

75% of all young adults between the ages of 18-35 do not have a landline in their homes and only use a cell phone at home.

This means that p = 0.75

(a) On average, how many young adults do not own a landline in a random sample of 100?

Sample of 100, so n = 100

E(X) = np = 100(0.75) = 75

(b) What is the standard deviation of probability of young adults who do not own a landline in a simple random sample of 100?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100(0.75)(0.25)} = 4.33

(c) What is the proportion of young adults who do not own a landline?

The estimation, of 75% = 0.75.

(d) What is the probability that no one in a simple random sample of 100 young adults owns a landline?

This is P(X = 100), that is, all do not own. So

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

P(X = 100) = C_{100,100}.(0.75)^{100}.(0.25)^{0} = 3.2 \times 10^{-13}

3.2 \times 10^{-13} probability that no one in a simple random sample of 100 young adults owns a landline.

(e) What is the probability that everyone in a simple random sample of 100 young adults owns a landline?

This is P(X = 0), that is, all own. So

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

P(X = 0) = C_{100,0}.(0.75)^{0}.(0.25)^{100} = 6.2 \times 10^{-61}

6.2 \times 10^{-61} probability that everyone in a simple random sample of 100 young adults owns a landline.

(f) What is the distribution of the number of young adults in a sample of 100 who do not own a landline?

Binomial, with n = 100, p = 0.75

(g) What is the probability that exactly half the young adults in a simple random sample of 100 do not own a landline?

This is P(X = 50). So

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

P(X = 50) = C_{100,50}.(0.75)^{50}.(0.25)^{50} = 4.5 \times 10^{-8}

4.5 \times 10^{-8} probability that exactly half the young adults in a simple random sample of 100 do not own a landline.

8 0
2 years ago
You can make small 20 small frames in 4 days or 21 large frames in 3 days. A customer has just place a order with you for 40 sma
cupoosta [38]

Answer:

I got 17.

Step-by-step explanation:

Because it takes 4 days to make 20 small frames, it takes 8 days to make 40. And because it takes 3 days to make 21 frames, and 21 multiplied by 3 is 63 (one less than 64), it would take 9 days (3 times the amount for 21) to make 64 large frames. In all, it would take APPROXIMATELY 17 days (9 +8 is 17)

6 0
3 years ago
Terrance and his family are planning how to pay for his college education. The cost of tuition at his chosen college is $14,500
Finger [1]

Answer:

terrence will have to play 2900

Step-by-step explanation:

80% * 14500

14500-11600

2900

6 0
3 years ago
Use the relationship between the angles in the
erastovalidia [21]

The 3 angles when added together make a straight line which is 180 degrees. To find x subtract the 2 known angles from 180.

The answer would be x = 180 - (67 + 52)

5 0
3 years ago
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