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Sidana [21]
1 year ago
8

At a concession​ stand, one hot dog and one hamburger cost ​$3.75 ​; one hot dog and cost ​$12.25 . Find the cost of one hot dog

and the cost of one hamburger .
Mathematics
1 answer:
raketka [301]1 year ago
8 0

The function shows that the cost of hotdogs is 1.75 and the cost of hamburger is 1.5.

<h3>How to calculate the information?</h3>

Let hotdogs = h

Let hamburger = x

The expression will be:

h + x = 3.25

h + 7x = 12.25

Subtract the functions

6x = 9

x = 1.5

Therefore, hot dogs will be:

= 3.25 - 1.5

= 1.75

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

At a concession stand, one hot dog and one hamburger cost $3.25; one hot dog and seven hamburger cost $12.25. Find the cost of one hotdog and the cost of one hamburger.

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answer is A.) -20+48i

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3 years ago
A public health organization reports that 40%of baby boys 6-8 months old in the United
Sveta_85 [38]

Using the binomial distribution, the probabilities are given as follows:

  • 0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.
  • 0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.
  • Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The values of the parameters for this problem are:

n = 10, p = 0.4.

The probability that more than 4 weigh more than 20 pounds is:

P(X > 4) = 1 - P(X \leq 4)

In which:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Then:

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

P(X = 0) = C_{10,0}.(0.4)^{0}.(0.6)^{10} = 0.0061

P(X = 1) = C_{10,1}.(0.4)^{1}.(0.6)^{9} = 0.0403

P(X = 2) = C_{10,2}.(0.4)^{2}.(0.6)^{8} = 0.1209

P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.2150

P(X = 4) = C_{10,4}.(0.4)^{4}.(0.6)^{6} = 0.2502

Hence:

P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0061 + 0.0403 + 0.1209 + 0.2150 + 0.2502 = 0.6325

P(X > 4) = 1 - P(X \leq 4) = 1 - 0.6325 = 0.3675

0.3675 = 36.75% probability that more than 4 weigh more than 20 pounds.

The probability that fewer than 3 weigh more than 20 pounds is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0061 + 0.0403 + 0.1209 = 0.1673

0.1673 = 16.73% probability that fewer than 3 weigh more than 20 pounds.

For more than 7, the probability is:

P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10)

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

P(X = 8) = C_{10,8}.(0.4)^{8}.(0.6)^{2} = 0.0106

P(X = 9) = C_{10,9}.(0.4)^{9}.(0.6)^{1} = 0.0016

P(X = 10) = C_{10,10}.(0.4)^{10}.(0.6)^{0} = 0.0001

Since P(X > 7) < 0.05, it would be unusual if more than 7 of them weigh more than 20 pounds.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

4 0
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A cell phone package charges $39 even if 0 minutes are used during the month. Each additional minute of talk time adds $0.07.
Orlov [11]

Answer: the slope intercept form for this situation is y = 0.07x + 39

Step-by-step explanation:

The cell phone package charges $39 even if 0 minutes are used during the month. This means that the package has a constant charge of $39.

Each additional minute of talk time adds $0.07. Assuming x additional minutes of talk time is made, the total cost of x additional minutes of talk time would be

0.07x + 39

Let y represent the total cost of x additional minutes, then

y = 0.07x + 39

The equation for the slope intercept form is expressed as

y = mx + c

Where

m = slope

c = intercept.

Comparing with our equation,

The slope is 0.07 and the intercept is 39

7 0
3 years ago
What are three equivalent ratios 14/2
Taya2010 [7]

Answer:

  • 7/1
  • 21/3
  • 532/76

Step-by-step explanation:

Reduce the ratio to lowest terms, then multiply numerator and denominator by any same value to get another equivalent.

  \dfrac{14}{2}=\dfrac{2\cdot 7}{2\cdot 1}=\dfrac{7}{1}\\\\=\dfrac{3\cdot 7}{3\cdot 1}=\dfrac{21}{3}\\\\=\dfrac{76\cdot 7}{76\cdot 1}=\dfrac{532}{76}

3 0
3 years ago
During a chemistry experiment, Sam records how the temperature changes over time using ordered pairs, (0, 15), (5, 20), (10, 50)
Oksi-84 [34.3K]

Answer:

no because there is no relation between the temperature changes

Step-by-step explanation:

5 0
2 years ago
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