Answer:
PK represents a radius. Radius only goes half way of the circle.
Answer:
The solution for f(x) = g(x) are;
x = 1 and x = -1
Step-by-step explanation:
The given equations for the functions, g(x) are;

g(x) = 2 + x
The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;
When f(x) = g(x), we have;

By cross multiplication, we have;
1 + 2·x = x × (2 + x) = 2·x + x²
∴ x² + 2·x - 2·x - 1 = 0
x² - 1 = 0
(x - 1)·(x + 1) = 0
x = 1, or x = -1
f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1
Therefore, the solution for f(x) = g(x) are;
f(x) = g(x) = 3 or 1 where x = 1 and x = -1.
Answer:
(b)0.56
(c)0.38
Step-by-step explanation:
(a)The tree diagram is attached.
P(Ben Fails)=1-0.8=0.2
P(Tom Fails)=1-0.7=0.3
(b)Probability that both will pass their driving test.
P(both will pass)=0.8 X 0.7 =0.56
(c)Probability that only one of them will pass their driving test.
P(Tom Bass, Ben Fails OR Ben Pass, Tom Fails)
=(0.7 X 0.2)+(0.8 X 0.3)
=0.14+0.24
=0.38
S(8)=((100×(1−(50÷100)^(8))÷(1−50÷100)))
=199.22
If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
The marginal product of labor (MPL) is the change in output that results from employing an added unit of labor.
The average product of labor (APL) is the total product of labor divided by the number of units of labor employed.
Here,
P= $10
The marginal product of labor (MPL)= $25
The average product of labor (APL)= $40
The value of marginal product of labor= P × The marginal product of labor (MPL)
The value of marginal product of labor= 10×25=$250
Hence, If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
Learn more about the value of marginal product of labor here
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