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2 years ago

The bill at a restaurant is $18.79. What is the amount of the tip if the rate is 11%?

Mathematics

1 answer:

anygoal [31]2 years ago

7 0

Answer:

A) 2.06

Step-by-step explanation:

You have to multiply The 11% which is .11 by 18.79 which gives you 2.06

So 11% in decimal form is .11 which you can do by moving the percent sign to the right twice which gives you .11

after you have done that you can multiply it by 18.79 which gives you your answer. Hope this helps

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A taste test asks people from Texas and California which pasta they prefer,

melamori03 [73]

Answer:

Yes, they are independent because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

Step-by-step explanation:

We are given that a taste test asks people from Texas and California which pasta they prefer, brand A or brand B. The table is given in the question.

A person is randomly selected from those tested.

And we have find that are being from Texas and preferring brand A independent events or not.

Firstly, we know that these two events will be independent when;

P(Texas) = P(Texas/brand A)

Now, P(Texas) = $\frac{\text{Number of people from Texas}}{\text{Total number of people}}$

= $\frac{125}{275}$ ≈ 0.45

Also, P(Texas/brand A) = $\frac{P(Texas \bigcap Brand A)}{P(Brand A)}$

= $\frac{\text{Number of people from Texas and preferring brand A}}{\text{Number of people preferring brand A}}$

= $\frac{80}{176}$ ≈ 0.45

Therefore, being from Texas and preferring brand A are independent events because P(Texas) ≈ 0.45 and P(Texas/brand A) ≈ 0.45.

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Complete the following statements.

stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains 67.62 fluid ounces of liquid.

The soda bottle contains 0.525 gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8 quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains ------- fluid ounces of liquid.

Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So, 2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62 fluid ounces of liquid.

The soda bottle contains gallons of liquid.

Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525 gallons of liquid.

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------ liters of milk.

Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

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