You have a friend who claims to psychic. You don't believe this so you test your friend by flipping a coin 20 times and having h
1 answer:
Answer:
Given that your friend in not really psychic, he has a probability of P=1.5% of guessing right 15 out of 20 coin flips.
Step-by-step explanation:
We have a binomial distribution problem.
We have to calculate the probability of correctly guessing 15 out of 20 flips of a coin (probability of success for every trial: p=0.5).
We can calculate that with the binomial distribution formula:
Then we can conclude that, given that your friend in not really psychic, it has only 1.5% of guessing right 15 out of 20 coin flips.
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Given a circle described by the equation:
and a function g(x) given by the table
The function g(x) describes a straight line with the equation:
To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0
Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
and a function g(x) given by the table
The function g(x) describes a straight line with the equation:
To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0
Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
Answer:
0.025
Step-by-step explanation:
-This is a conditional probability problem.
-Let L denote lens defect and C charging defect.
#We first calculate the probability of a camera having a lens defect;
#Calculate the probability of a camera having a charging defect:
The the probability that a camera has a lens defect given that it has a charging defect is calculated as:
Hence, the probability that a camera has a lens defect given that it has a charging defect is 0.025
Answer:
By contradiction it can be proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.
Step-by-step explanation:
Method of contradiction means we assume opposite to the facts to be proved and then we contradict our assumption.
As a result, we prove the fact.
Here, let the four number be:
The average will be Sum of all numbers divided by count of numbers.
Now, let us assume the opposite that the average is less than all the numbers.
i.e.
Now, let us add all of them:
Which can never be possible hence, our assumption is contradicted.
our assumption is wrong.
Therefore, by contradiction it is proved that:
Average of four real numbers will be greater than or equal to at least one of the four real numbers.
Answer:
The measure of angle JKL is 97 degrees.
Step-by-step explanation:
Given:
A triangle JKL .
Measure of exterior angle K = 83 degrees
We have to find the measure of .
In we see that the exterior angle is in linear pair with
.
Note:
Linear pair angles sum is 180 degree.
Let be 'x' degrees .
So,
⇒
⇒ <em>Subtracting 83 from both sides.</em>
⇒
⇒
⇒ degrees
The measure of angle JKL in the triangle is of 97 degrees.
