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Diano4ka-milaya [45]
3 years ago
9

There are 609 skiers in line for the lift if each chair seats 6 people how many skiers will be on the last chair

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Answer:

3 skiers will be on the last chair

Step-by-step explanation:

Divide 609 skiers by 6 people per chair:

609 ÷ 6 = 101.5 (also can write as 101 and remainder of 3)

Multiply 101 • 6 = 606

609 - 606 = 3

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A rally car race course covers 515.97 miles. The winning car completed the course in 6.5 hours. What was the average speed of th
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79.38 mile per hour

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Step-by-step explanation:

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The formula for the area of a trapezoid is A = one-half (b Subscript 1 Baseline + b Subscript 2 Baseline) times h When this equa
Andre45 [30]

Answer:

The answer is \frac{2A}{h} -b_2=b_1

Step-by-step explanation:

Given that the area of a trapezoid is ;

A=1/2 (b₁+b₂)h

When the equation is solved for b₁ it will be;

A=1/2 (b₁+b₂)h

This can be written as;

A=h/2 (b₁+b₂)

Multiply both sides by 2/h

2A/h = b₁+b₂

Make b₁ subject of the formula

2A/h - b₂ = b₁

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3 years ago
An oil drilling company ventures into various locations, and its success or failure is independent from one location to another.
densk [106]

Answer:

a) 18.77% probability that the driller drills at 10 locations and has 1 success

b) 75.60% probability that the driller drills at 10 locations and has at least 2 success

Step-by-step explanation:

For each drill, there are only two possible outcomes. Either it is a success, or it is not. The probability of a drill being a success is independent of other drills. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

10 locations

This means that n = 10

Suppose the probability of a success at any specific location is 0.25.

This means that p = 0.25

(a) What is the probability that the driller drills at 10 locations and has 1 success?

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877

18.77% probability that the driller drills at 10 locations and has 1 success

(b) What is the probability that the driller drills at 10 locations and has at least 2 success?

Either there are less than 2 success, or there are at least 2. The sum of the probabilities of these events is decimal 1. So

P(X < 2) + P(X \geq 2) = 1

We want P(X \geq 2)

So

P(X \geq 2) = 1 - P(X < 2)

In which

P(X < 2) = P(X = 0) + P(X = 1)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.25)^{0}.(0.75)^{10} = 0.0563

P(X = 1) = C_{10,1}.(0.25)^{1}.(0.75)^{9} = 0.1877

P(X < 2) = P(X = 0) + P(X = 1) = 0.0563 + 0.1877 = 0.2440

P(X < 2) = P(X = 0) + P(X = 1) = 1 - 0.244 = 0.756

75.60% probability that the driller drills at 10 locations and has at least 2 success

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Answer:

B

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