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beks73 [17]
3 years ago
11

At a conference of 250 people, 30% of the participants are French, 35% are Americans, 20% are Germans, and the rest are of other

nationalities. How many French participants are at the conference?
50
75
150
175
Mathematics
1 answer:
gogolik [260]3 years ago
3 0
30% of the 250 participants were French.
To find how many this is, convert the percent to a decimal and multiply the decimal by the total number of participants.
30% = 0.3
0.3 • 250 = 75
75 of the participants were French.
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The liquid volume of Eric's water bottle is 3 liters. What is the approximate liquid volume of 5 of these bottles in milliliters
stepan [7]

Answer:

Option D is correct

The approximate liquid volume of 5 of these bottles is, 15,000 milliliters.

Step-by-step explanation:

Given the statement: The liquid volume of Eric's water bottle is 3 liters.

Using conversion:

1 liters = 1000 milliliters

Convert 3 liters into milliliters;

using above conversion:

3 liters  = 3 \times 1000 = 3000 milliliters.

To find the volume of liquid in 5 of these bottles in milliliters:

Volume of liquid in 1 bottle is, 3000 milliliters.

then;

Volume of liquid in 5 bottles  = 5 \times 3000 = 15,000 milliliters.

Therefore, approximate liquid volume of 5 of these bottles is, 15,000 milliliters

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2 years ago
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7 0
2 years ago
A biased coin has a probability of 0.4 of coming up heads. What is the probability that when flipped one hundred times it comes
inn [45]

Using the binomial probability relation ; the probability that an head is obtained at least 50 times is 0.0271

<u>Using the binomial probability relation</u> :

  • P(x = x) = nCx * p^x * q^(n-x)
  • p = probability of success = 0.4
  • q = 1 - p = 0.6
  • n = number of trials = 100

P(x ≥ 50) = p(x = 50) + p(x = 51) + ...+ p(x = 100)

<u>Using a binomial probability calculator</u> :

P(x ≥ 100) = 0.0271

Therefore, the probability that atleast 50 heads are obtained in the trial is 0.0271

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5 0
3 years ago
The curved surface area of a cylinder is one third of its total surface area and the height is 5
frosja888 [35]

Answer:

Diameter of cylinder = 12 cm

Step-by-step explanation:

Given:

Height of cylinder = 5 cm

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

Find:

Diameter of cylinder

Computation:

Total surface area of cylinder = 3 x [Curved surface area of a cylinder]

πr²h = 3[2πrh]

πr²h = 6πrh

Radius of cylinder = 6 cm

Diameter of cylinder = 2 x Radius of cylinder

Diameter of cylinder = 2 x 6

Diameter of cylinder = 12 cm

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