Answer:
D. The graph contains the point (4, -10)
Step-by-step explanation:
We have been given an equation of a function: . We are asked to find which of the given statements are not true about our given function.
A. The slope of the line can be written as 4/1.
We can see from our given equation that slope is 4 we can write 4 as 4/1 as it will not change value of 4, therefore, option A is true.
B. The graph crosses the y-axis 10 units below the origin.
Since we know that b represents y-intercept, where line crosses y-axis. y-intercept for our given equation is -10, which means that our given line crosses y-axis at -10 (10 units below the origin), therefore, option B is true.
C. The line has a constant rate of change.
We can see that slope of line is 4 which means with each increase in x, y will increase by 4 units, which remains constant, therefore, option C is true indeed.
D. The graph contains the point (4, -10)
Since we know that y-intercept is -10, which occurs at x equals 0, therefore, the graph does not contain the point (4,-10) and option D is not true.
Answer: The probability that the project will be completed in 33 days or less is equal to<u> </u><u>0.73</u> .
Step-by-step explanation:
We assume that this is a normally distribution.
Given : The critical path length is 30 days .
i.e. Population mean =
Variance :
Then, standard deviation :
Z-score :
The value of z corresponding to 33 =
Now, the p-value =
Hence, the probability that the project will be completed in 33 days or less is equal to 0.73.
Answer:
The set of polynomial is Linearly Independent.
Step-by-step explanation:
Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2
To find - Test the set of polynomials for linear independence.
Definition used -
A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.
The set is dependent if the determinant is zero.
Solution -
Given that,
f(x) =7 + x,
g(x) = 7 +x^2,
h(x)=7 - x + x^2
Now,
We can also write them as
f(x) = 7 + 1.x + 0.x²
g(x) = 7 + 0.x + 1.x²
h(x) = 7 - 1.x + 1.x²
Now,
The coefficient matrix becomes
A =
Now,
Det(A) = 7(0 + 1) - 1(7 - 7) + 0
= 7(1) - 1(0)
= 7 - 0 = 7
⇒Det(A) = 7 ≠ 0
As the determinant is non- zero ,
So, The set of polynomial is Linearly Independent.