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Novay_Z [31]
2 years ago
8

A study finds a positive correlation between the number of traffic lights on the most-used route between two destinations and th

e average driving time between the two destinations.
which statement is true ?


a. the correlation is most likely a coincidence


b. the correlation is most likely a causation.


c. the correlation is most likely due to a lurking variable
Mathematics
1 answer:
alukav5142 [94]2 years ago
6 0
Increasing the number of traffic lights on the most used route between the two destinations will increase the amount of time it will take to reach to the other destination, as each traffic light will cause a delay. Therefore, the increasing number of traffic lights are causing an increase in the average time to travel to the other destination.

In this case the correlation is most likely a casuation as the increase in the number of traffic lights is causing an increase in the average driving time between the two destinations.

So, the correct answer is option B
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Find the inner product for (-4,9,8) . (3,2,-2) and state whether the vectors are perpendicular.
drek231 [11]

Answer:

-10; no

Step-by-step explanation:

<h2>-4*3 + 9*2 + 8*-2 = -10</h2><h2></h2><h2>-10 does not equal 0 so it is not perpendicular</h2>

6 0
2 years ago
A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen
noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

n = 5, p = 0.93

Calculate P(at least one valve opens).

This is P(X \geq 1)

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

So

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

P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807

Finally

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193

There is a 99.99998% probability that at least one valve opens.

5 0
2 years ago
Read 2 more answers
Which of the following is the same as 8.4x 10^2<br> A.8,400<br> B.840<br> C.84<br> D. .84
zysi [14]

Answer: Your answer is B.840


Step-by-step explanation:

What you do first is the exponents 10^2 is 100

8.4 x 100 is 840 because when you multiply you move the decimal points the amount of zero's you have to the right but when you divide you do the opposite. You go left the amount of zeros there are.


6 0
3 years ago
Whats the answer to 15 3/4 ÷ 1 3/4 step by step
azamat

Answer:

9

Step-by-step explanation:

(15×4+3)/4 ÷(4×1+3)/4= 63/4 ÷ 7/4= 9

6 0
2 years ago
For which scatterplot is the correlation strongest ?
PtichkaEL [24]

the second one? Step-by-step explanation:

7 0
3 years ago
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