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Svetradugi [14.3K]

4 years ago

13

In 2011, there were 984 rotary rigs drilling for crude oil in the United States. This was 687 more rigs than were active in 2007

. Find the number of active rotary oil rigs in 2007.

1 answer:

kondor19780726 [428]4 years ago

4 0

297 rotary rigs were active in 2007

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Answer:

Distribute -1/2 over (x - 4)

Divide both sides of the equation by -2

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Write an equation of the line containing the given point and perpendicular to the given line.

Tresset [83]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y on the vertical axis) / (change in the value of x on the horizontal axis)

The equation of the given line is

9x+7y=4

7y = 4 - 9x = -9x + 4

y = -9x/7 + 4/7

Comparing with the slope intercept form, slope = -9/7

If the line passing through the given point is perpendicular to the given line, it means that its slope is the negative reciprocal of the slope of the given line.

Therefore, the slope of the line passing through (7,-4) is 7/9

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6 0

3 years ago

Marizza181 [45]

Answer:

The probability of no correct answers is 0.125 = 12.5%.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question, which means that 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.

3 trials, each with probability of success (correct) given by p=0.50.

This means that $n = 3, p = 0.5$

The probability of no correct answers is

This is P(X = 0).

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

$P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125$

The probability of no correct answers is 0.125 = 12.5%.

6 0

3 years ago