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Gnesinka [82]
3 years ago
15

A cooler at a picnic contains 100 cans of soda covered by ice. There are 34 cans of​ cola, 50 cans of orange​ soda, 12 cans of g

inger​ ale, and 4 cans of root beer. The cans are all the same size and shape. If one can is selected at random from the​ cooler, determine the probability that the soda selected is root beer​, cola comma or ginger ale.
The probability that the can selected is a root beer​, cola comma or ginger ale is nothing .
​(Type an integer or a simplified​ fraction.)
Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer:

P = 1/2 = 0.5

Step-by-step explanation:

Total amount of cans = 100

Cans of cola = 34

Cans of orange soda = 50

Cans of ginger ale = 12

Cans of root beer = 4

Probability of selecting

- a can of cola = 34/100 = 0.34

- a can of orange soda = 50/100 = 0.5

- a can of ginger ale = 12/100 = 0.12

- a can of root beer = 4/100 = 0.04

Since we are asked the probability that the can selected is a root beer​, cola, or ginger ale, we need to add together the probabilities of each.

P = 0.04 + 0.34 + 0.12 = 0.5 = 1/2

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Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at
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Answer: 5 km walking and 30 km by bus

Step-by-step explanation:

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

walking - 5km/h                                         bus - 60km/h

distance walking - d₁                                 distance bus - d₂

time walking - t₁                                         time bus - t₂

d₁ + d₂ = 35

t₁ + t₂ = 1.5

v = d/t

vwalking = d₁/t₁

5 = d₁/t₁ ⇒ d₁ = 5t₁

vbus = d₂/t₂

60 = d₂/t₂ ⇒ d₂ = 60t₂

d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35

_________________________

5t₁ + 60t₂ = 35

t₁ + t₂ = 1.5  (*-5)

5t₁ + 60t₂ = 35

-5t₁ -5t₂ = -7.5   (+)

__________________________

55t₂ = 27.5

t₂ = 27.5/55 = 0.5 h

t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h

d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km

d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km

6 0
3 years ago
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