Answer:
1. {xx < 13} 3. {yy < 5} 5. {tt > -42} 7. {dd ≤ 4}
9. {kk ≥ -3} 11. {zz < -2} 13. {mm < 29}
15. {bb ≥ -16} 17. {zz > -2} 19. {bb ≤ 10}
21. {qq ≥ 2} 23. ⎧
⎨
⎩
ww ≥ - _7
3
⎫
⎬
⎭
Lesson 0-7
1. {(−15, 4), (−18, −8), (−16.5, −2),
Step-by-step explanation:
ZX + Zz = 180°, without the actual
measu
Answer:
The shape and rate parameters are and .
Step-by-step explanation:
Let <em>X</em> = service time for each individual.
The average service time is, <em>β</em> = 12 minutes.
The random variable follows an Exponential distribution with parameter, .
The service time for the next 3 customers is,
<em>Z</em> = <em>X</em>₁ + <em>X</em>₂ + <em>X</em>₃
All the <em>X</em>'s are independent Exponential random variable.
The sum of independent Exponential random variables is known as a Gamma or Erlang random variable.
The random variable <em>Z</em> follows a Gamma distribution with parameters (<em>α</em>, <em>n</em>).
The parameters are:
Thus, the shape and rate parameters are and .
Answer:
roses cost 5 geraniums cost 10
Step-by-step explanation:
rose=x
geraniums=y
11x+14y=195
14x+7y=140
Multiply the top by -7 and the bottom by 14 so geraniums(y) cancels out and you can find rose(x)
-77x-98y=-1365
196x+98y=1960 y cancels out
119x=595
------ -----
119 119
rose(x)=5 insert 5 for x to find y (geraniumns)
11(5)+14y=195
55+14y=195
-55
14y=140
----- ----- geraniums(y)=10
14 14
So, you can't solve for two variables.
Solving for y variable:
7 = -y + 3x
y = 3x + 7
Solving for x variable:
7 = -y + 3x
-3x = -y - 7
x = (-y-7)/-3
The slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.
<u>Explanation:</u>
Points given = ( -10, -8) and ( -8, -16)
Slope = ?
( -10, -8 ) : x1 = -10 and y1 = -8
( -8, -16 ) : x2 = -8 and y2 = -16
We know,
slope = y2 - y1 / x2 - x1
Slope = -16 - ( -8) / -8 - (-10)
slope = -16 + 8 / -8 + 10
slope = -8 / 2
slope = -4
Therefore, slope of the line that passes through points ( -10, -8 ) and ( -8, -16 ) is -4.