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2 years ago

Which situation does NOT show causation?

Mathematics

2 answers:

tiny-mole [99]2 years ago

7 0

Answer is A
Hope this helps

lukranit [14]2 years ago

5 0

Answer:A

Step-by-step explanation:

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A car insurance company has determined that 8% of all drivers were involved in a car accident last year. Among the 15 drivers li

svetlana [45]

Answer:

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

Step-by-step explanation:

For each driver surveyed, there are only two possible outcomes. Either they were involved in a car accident last year, or they were not. This means that we solve this problem using binomial probability concepts.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

In this problem

15 drivers are randomly selected, so $n = 15$ .

A success consists in finding a driver that was involved in an accident. A car insurance company has determined that 8% of all drivers were involved in a car accident last year. This means that $\pi = 0.08$ .

What is the probability of getting 3 or more who were involved in a car accident last year?

This is $P(X \geq 3)$ .

Either less than 3 were involved in a car accident, or 3 or more were. Each one has it's probabilities. The sum of these probabilities is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

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

$P(X = 0) = C_{15,0}.(0.08)^{0}.(0.92)^{15} = 0.2863$

$P(X = 1) = C_{15,1}.(0.08)^{1}.(0.92)^{14} = 0.3734$

$P(X = 2) = C_{15,2}.(0.08)^{2}.(0.92)^{13} = 0.2273$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2863 + 0.3734 + 0.2273 = 0.887$

Finally

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.887 = 0.113$

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

5 0

2 years ago

Today, the Great Pyramid at Giza near Cairo, Egypt stands 137 meters tall, coming to a point.Its base is a square with each side

Vlad1618 [11]

Hope you can see the picture and understand the drawings.

It can seem complex at first but you just have to think it through.

I use pythagoras' theorem to find the diagonal of the base square and then use that information along with the height with the aid of that ever so handy pythagoras' theorem to find the length of the slope.

8 0

2 years ago

If y is 22.6 and c is 28.2, find b, rounded to the nearest tenth.

Nat2105 [25]

Can u send the question to be more clear

6 0

2 years ago

Recall that two angles are complementary if the sum of their measures is 90 degreesÂ°. Find the measures of two complementary an

raketka [301]

Answer:

18° and 72°

Step-by-step explanation:

let x be the measure of one angle then the other is 3x + 18

The sum of the 2 complementary angles = 90°, hence

x + 3x + 18 = 90

4x + 18 = 90 ( subtract 18 from both sides )

4x = 72 ( divide both sides by 4 )

x = 18

the 2 angles are 18° and (3 × 18 ) + 18 = 72°

8 0

3 years ago

Suppose that the local sales tax rate is 7% and you purchase a car for 11,100 how much tax is paid?

ss7ja [257]

Answer:

11877

Step-by-step explanation:

11100 * 7% = 777

11100 + 777 = 11877

When you multiply by 7%, you get the amount of additional tax. You add this to the original amount to get the answer.

8 0

2 years ago