Answer:
Option (3)
Step-by-step explanation:
In a right triangle,
Cosine rule →
Sine rule → 
In the given triangle,
By cosine rule,


Or cos(h°) = z ÷ x
Therefore, Option (3) will be the answer.
The Law of large numbers.
<h3>What is the Law of natural numbers?</h3>
The law of large numbers plays the main role in probability and statistics. It means that if you repeat an experiment independently so many times and average the result, what you get has to be close to the expected value.
An example of the Law of Large Numbers:
Let's assume that you rolled the dice three times and the outcomes were 6, 6, and 3. Then the average result is 5.
So, according to the law of the large numbers, if we roll the dice a large no. of times, then the average result should be closer to the expected value.
It also states that probability and statistics set a sample size that grows, and the mean of the sample size gets closer to the average of the entire population.
Learn more on the law of large numbers here:
brainly.com/question/13730477
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Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
Answer:
the answer is 5/8
Step-by-step explanation: