Simplify the expression-14-(-8)
1 answer:
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Answer:
The probability is 1/2
Step-by-step explanation:
The time a person is given corresponds to a uniform distribution with values between 0 and 100. The mean of this distribution is 0+100/2 = 50 and the variance is (100-0)²/12 = 833.3.
When we take 100 players we are taking 100 independent samples from this same random variable. The mean sample, lets call it X, has equal mean but the variance is equal to the variance divided by the length of the sample, hence it is 833.3/100 = 8.333.
As a consecuence of the Central Limit Theorem, the mean sample (taken from independant identically distributed random variables) has distribution Normal with parameters μ = 50, σ= 8.333. We take the standarization of X, calling it W, whose distribution is Normal Standard, in other words
The values of the cummulative distribution of the Standard Normal distribution, lets denote it , are tabulated and they can be found in the attached file, We want to know when X is above 50, we can solve that by using the standarization
<u>Corrected Question</u>
Is the function given by:
continuous at x=4? Why or why not? Choose the correct answer below.
Answer:
(D) Yes, f(x) is continuous at x = 4 because
Step-by-step explanation:
Given the function:
A function to be continuous at some value c in its domain if the following condition holds:
- f(c) exists and is defined.
exists.
At x=4
Therefore:
By the above, the function satisfies the condition for continuity.
The correct option is D.
There is no point of intersection between line u and line v.
Given that
These points on line u and line v.
Line u: (9, –8), (5, 4)
Line v: (4, 2), (7, –7)
We have to determine
How many points of intersection are there between line u and line v?
According to the question
To determine the point of intersection follows all the steps given below.
Line u: (9, –8), (5, 4)
The slope of the line u is,
And the value of c is at point (5, 4) is,
The equation of u is y = -3x + 19.
And
Line v: (4, 2), (7, -7)
The slope of line V is,
And the value of c is at point (4, 2) is,
The equation of u is y = -3x + 14.
The slopes of them are equal and their y-intercepted are not equal.
Line u is parallel to line v.
Hence, there is no point of intersection between line u and line v.
To know more about Slope click the link given below.