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Mandarinka [93]
3 years ago
8

Some friends who were playing darts decided to impose a 2 point penaty for each dart that missed the dart board completely. Duri

ng the evening, a boy had 5 darts in the 20-point section, 2 darts in the triple-15-point section, and 4
darts in the double-10

point section. He missed the dart board completely 3 times. How many points did the boy score?
Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:

The boy score 164 points.

Step-by-step explanation:

We are given that some friends who were playing darts decided to impose a 2 point penalty for each dart that missed the dartboard completely.

During the evening, a boy had 5 darts in the 20-point section, 2 darts in the triple-15-point section, and 4  darts in the double-10  point section. He missed the dartboard completely 3 times.

The points boy scored by pointing the dart in the 20-point section = 5 \times 20 = 100 points

The points boy scored by pointing the dart in the 15-point section = 2 \times 15 = 30 points

The points boy scored by pointing the dart in the 10-point section = 4 \times 10 = 40 points

The penalty points imposed on the boy = 3 \times 2 = 6 points

So, the total points boy scored = 100 + 30 + 40 - 6 = 164 points.

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Answer:

She earned $60

Step-by-step explanation:

Since she had 20 dollars remaining from may, she earned the rest of the money in june so:

80-20=60

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3 years ago
Ask Your Teacher Consider a binomial random variable with n = 5 and p = 0.8. Let x be the number of successes in the sample. Eva
Readme [11.4K]

Answer:

0.942 is the required probability.  

Step-by-step explanation:

We are given the following in the question:

x is a binomial random variable with n = 5 and p = 0.8.

Then,

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

We have to evaluate:

P(x \geq 3) = P(x = 3) + P(x = 4) +P(x=5)\\\\= \binom{5}{3}(0.8)^3(1-0.8)^2 +\binom{5}{4}(0.8)^4(1-0.8)^1 +\binom{5}{5}(0.8)^5(1-0.8)^0\\\\= 0.2048 +0.4096+0.3276=0.942

0.942 is the required probability.

4 0
3 years ago
Find the volume of the composite solid. Round your answer to the nearest hundredth.
vampirchik [111]

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Step-by-step explanation:

3 0
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Multiply the following complex numbers:<br> (9-21)(7 +61)
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Step-by-step explanation:

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3 years ago
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A company will make a cereal box with whole number dimensions and a volume of 100 cubic centimeters. if carboard cost $0.05 per
Lelu [443]
Possible dimension of a box with a volume of 100 cubic cm
10 x 10 x 1 = 100
10 x 5 x 2 = 100
5 x 5 x 4 = 100

Surface area:
10 x 10 x 1 dimensions: 
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10 x 1 = 10 x 4 = 40 sq. cm
240 sq. cm * $0.05 / 100 sq.cm = $0.12 per box
0.12 per box * 100 boxes = $12

10 x 5 x 2 dimension
10 x 5 = 50 x 2 = 100 sq. cm
10 x 2 = 20 x 2 = 40 sq. cm
5 x 2 = 10 x 2 = 20 sq. cm
160 sq. cm * $0.05/100 sq. cm = $0. 08 per box
0.08 per box * 100 boxes = $8

5 x 5 x 4 dimension
5 x 5 = 25 x 2 = 50 sq. cm
5 x 4 = 20 x 4 = 80 sq. cm
130 sq. cm * $0.05/100 sq. cm = $0.065 per box
0.065 per box * 100 boxes = $6.50

The best dimension to use to have the least cost to make 100 boxes is 5 x 5 x 4. It only costs $6.50 to make 100 boxes.
8 0
3 years ago
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