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3 years ago

A die is rolled 200 times with the following results.

Mathematics

1 answer:

Crazy boy [7]3 years ago

8 0

<h3>Answer: D) 0.44</h3>

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Explanation:

Add up all the frequencies that correspond to outcomes that are more than 3

So we'll add up the last three frequencies (since they correspond to outcomes of 4, 5 and 6 all of which are greater than 3) to get 20+30+38 = 88

We have 88 occurrences of rolling either a 4, a 5 or a 6. This is out of 200 rolls total.

The empirical (or experimental) probability of getting more than 3 on the die is 88/200 = 0.44

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Solve the equation 20.5 = x + 4

devlian [24]

Answer:

16.5

Step-by-step explanation:

20.5 = x + 4

16.5 = x

x = 16.5

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3 years ago

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A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of

Ostrovityanka [42]

20 gallons is consumed from the first car and 25 gallons is consumed from the second car.

<h3>What is an Equation ?</h3>

A mathematical statement that relates two algebraic expression using an equal sign is called an equation.

It is given that

Fuel Efficiency of the first car is 20 miles per gallon of gas

Fuel Efficiency of the second car is 40 miles per gallon of gas

Total miles travelled = 1400 miles

Total gas consumption = 45 gallons

Let the gallons consumed from the first car is x

then the gallons consumed by the second car is (45 - x)

The equation formed will be

20* x + 40 * (45 -x) = 1400

20x +1800 - 40x = 1400

-20x = -400

x = 20

Therefore 20 gallons is consumed from the first car and

45-20 = 25 gallons is consumed from the second car.

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2 years ago

A train goes at 78kph for 20 minutes. How long does it travel?

DerKrebs [107]

Answer:

26km

Step-by-step explanation:

The train can travel 78km per hour or per 60 min

78 = 60

x = 20

Cross multiply:

(78)(20) = 60x

1560 = 60x

x = 26

Thus the train travels 26km in 20 min

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2 years ago

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The function in Exercise represents the rate of flow of money in dollars per year. Assume a 10-year period at 8% compounded cont

QveST [7]

Answer:

Please see attachment

Step-by-step explanation:

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3 years ago

Zack has been planting young trees in his garden. The maple tree that is 42 inches tall is growing 1 inch per month, whereas the

kolezko [41]

In 16 months, two trees will be of same height

The trees will be of 58 inches tall

Solution:

Let "x" be the number of months

The maple tree that is 42 inches tall is growing 1 inch per month

Thus, equation for maple tree is given as:

Maple tree : 42 + 1 inch (number of months)

Maple tree : 42 + x ------- eqn 1

The oak tree that is 10 inches tall is growing 3 inches per month

Thus, equation for oak tree is given as:

Oak tree : 10 + 3 inch (number of months)

Oak tree : 10 + 3x -------- eqn 1

For two two trees to be equal in height, equate eqn 1 and eqn 2

$42 + x = 10 + 3x\\\\3x - x = 42 - 10\\\\2x = 32\\\\x = 16$

Thus, in 16 months, two trees will be of same height

What will that height be?

Substitute x = 16 in any one eqn

$10+3x = 10 + 3(16) = 10+48 = 58$

Thus the trees will be of 58 inches tall

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3 years ago