Answer:
Step-by-step explanation:
Number of Men, n(M)=24
Number of Women, n(W)=3
Total Sample, n(S)=24+3=27
Since you cannot appoint the same person twice, the probabilities are <u>without replacement.</u>
(a)Probability that both appointees are men.
(b)Probability that one man and one woman are appointed.
To find the probability that one man and one woman are appointed, this could happen in two ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
P(One man and one woman are appointed)
(c)Probability that at least one woman is appointed.
The probability that at least one woman is appointed can occur in three ways.
- A man is appointed first and a woman is appointed next.
- A woman is appointed first and a man is appointed next.
- Two women are appointed
P(at least one woman is appointed)
In Part B, 
Therefore:
Answer:
x = 1 or -5/2
Step-by-step explanation:
-2x^2 - 3x + 5 = 0
multiply all through by -1
2x^2 + 3x - 5 = 0
....... 2x^2 × 5 = 10x^2 = +5x × -2x
(2x^2 + 5x)-(2x - 5) = 0
x(2x + 5) - 1(2x + 5) = 0
x - 1 = 0 or 2x + 5 = 0
x = 1 or 2x = - 5
x = 1 or -5/2
Answer:
slope is the gradient of a line. equation of a line and slope intercept form is y = mx + b where m equals the slope of the line and b is is the point on the y-axis that the line crosses. think of slope as the gradient of your stairs at home where The height (rise) of the stair is the y-axis and the length (run) of the stair is along the x-axis. let's say the rise of the stair is 6 in and the run of the stair is 9 in. The slope would then be the rise over the run or in our case 6 in over 9 in simplified that would be ⅔. let's imagine that our slope crosses the y-axis at 6 and our equation would be y = ⅔x + 6
Answer:
The answer is given below
Step-by-step explanation:
Q1: How are rational exponents and radicals related?
Rational exponents are exponents in fraction form. Radicals are roots (square root, cube root and so on).
The denominator of the rational exponent is the root which is the same as the radical.
Q2: How can the average rate of change be identified for a function?
The average rate of change is ratio of the change in output to the change in input values. The average rate of change for a function is the slope of the function.
It can be gotten by finding the first derivative of he function.
Q3: How do linear and exponential functions compare as the domain increases?
For linear functions as x increases, y also increases by the same amount (i.e rate of change is constant). For exponential function the rate of change increases by a factor known as the multiplier.
Distance formula between 2 points (x1,y1) and (x2,y2)
D=
D=29 and one point is (-5,5) and the other is (k,0)
sub
29=
29=
square both sides
841=
841=
minus 25 both sides
816=
square root both sides don't forget positive and negative roots
+/-4√51=-5-k
add 5 to both sides
5+/-4√51=-k
times -1 both sides
-5+/-4√51=k
the possible values for k are
k=-5+4√51 or k=-5-4√51
