Answer:
The price per serving is $0.315, therefore, it's less than $0.5
Step-by-step explanation:
In order to calculate the price per serving, we can first calculate the price per cup, this is done by dividing the total value of the box by the number of cups it can serve:
Since each serving is of a cup, then it's price has the same proportion and is given by:
The price per serving is $0.315, therefore, it's less than $0.5
Answer:
a ) See Annex
b) P₁ = 0,0464 or P₁ = 4,64 %
c) P₄ = 0,92 or P₄ = 92 %
Step-by-step explanation:
b) P₁ [ X being defective ] = P₂ + P₃
Where P₂ is the probability of X rays machine detects a weld defective and the weld is really defective
And P₃ is the probability of X rays machine detects a weld defective and the weld is not defective
Then
P₂ = 0,04 * 0,92 = 0,0368
P₃ = 0,96 * 0,01 = 0,0096
Then P₁ = 0,0368 + 0,0096
P₁ = 0,0464 or P₁ = 4,64 %
c) P₄ = 0,04 *0,92
P₄ = 0,92 or P₄ = 92 %
Answer:
The correct option is;
Step-by-step explanation:
The given information is that m(x) = x² - 17·x
The above equation can be written in the form;
y = x² - 17·x
Therefore;
0 = x² - 17·x - y
From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;
By comparison to the equation,0 = x² - 17·x - y, we have;
a = 1, b = -17, and c = -y
Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;
Which can be simplified as follows;
And further simplified as follows;
Interchanging x and y in the function of the inverse, m⁻¹(x), we have;
We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;
m'(x) = 2·x - 17 = 0
x = 17/2
Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;
m''(x) = 2 > 0, therefore, the point is a minimum point on the graph
Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;
to increase m⁻¹(x) above the minimum.