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11111nata11111 [884]
3 years ago
6

Emily works at a concession booth for summer sports. Hotdogs are $1.50 and sodas are $0.50. At the end of the night she made a t

otal of $78.50. To replenish her stock she needs to know how many of each were sold. 35 hotdogs were sold, how many sodas were sold?
Mathematics
1 answer:
pav-90 [236]3 years ago
4 0

Answer:

52 sodas

Step-by-step explanation

h=hotdogs

s= sodas

1.5h+.5s=78.5

You know that Emily sold 35 hotdogs so you replace h with 35.

Therefore, 1.5(35)+.5s=78.5

52.5+.5s=78.5

.5s=26

s=52

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Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that a = 50, b = 52

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

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<h2><u>Problem Solving</u>:-</h2>

2. The table below shows that the distance d varies directly as the time t. Find the constant of variation and the equation which describes the relation.

<h2><u>Solution</u>:-</h2>

Since the distance d varies directly as the time t, then d = kt.

Using one of the pairs of values, (2, 20), from the table, substitute the values of d and t in d = kt and solve for k.

\sf{\rightarrow{d =  kt}}

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