Please help this is so easy and show work!!!!

Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=

5/13

The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.

Sin theta is the opposite (5) over hypotenuse (13).

3 0

3 years ago

According to a survey, 18% of the car owners said that they get the maintenance service done on their cars according to the sche

Annette [7]

Answer:

a) For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

b) Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

Part a

For this case we define the random variable X="number of car owners in a random sample of 12 who get the maintenance service done on their cars according to the schedule recommended by the auto company". And for this case the distribution for X is:

$X \sim Binom (n =12, p=0.18)$

And the possible values for the random variable are X=0,1,2,3,4,5,6,7,8,9,10,11,12

Part b

Find to 3 decimal places the probability that exactly 3 car owners in a random sample of 12 get the maintenance service done on their cars according to the schedule recommended by the auto company.

Using the probability mass function we got:

$P(X=3)=(12C3)(0.18)^3 (1-0.18)^{12-3}=0.21506$

6 0

2 years ago

4. What is the median in this set of numbers? 5, 1, 2, 8, 9*<br> Ο 5<br> οοοο

muminat

Answer:

5

Step-by-step explanation:

Arrange the numbers from smallest to largest

1,2,5,8,9

The middle number is the median

5 is the middle number

5 is the median

5 0

3 years ago

What is the difference between postulate and theorem

Tresset [83]

A postulate (or sometimes called as an axiom) is something assumed rather than proven. A theorem is something that is proven. To make a theorem, we first start with undefined terms. Such as line, point, and plane. Then next comes the postulates. Then the definitions. And in some theorems, a previously proven theorem is sometimes used in order to prove the new theorem.

6 0

2 years ago

PLS HELP!!

nadezda [96]

Answer:

Step-by-step explanation:

a = number of successful events

b = total number of events.

4 0

2 years ago