Answer:
Step-by-step explanation:
Given that two well-known aviation training schools are being compared using random samples of their graduates
Fly more academy 70 of 140
Blue Yonder 104 of 260
Combined pass = (70+104) out of (140+260)
a) Pooled proportion=
b) H0: p1 = p2
Ha: p1 ≠p2
(two tailed test)
p difference= 
std error for difference (using pooled proportion) = 
Test statistic = p difff/std error = 4.034
c) Critical value for 0.05 is 1.96
d) p value is < 0.005
Since p < 0.05 our significant level we reject H0
There is significant difference between the two proportions.
For this, we need to find the lowest common multiple of 12 and 15....
common multiples of 12 : 12,24,36,48,60
common multiples of 15 : 15,30,45,60
LCM = 60
the caller that will be the first to win both is the 60th caller
Answer:
Tons
Step-by-step explanation:
A school bus should be weighed in tons due to the fact that it definitely weighs more than a few pounds.
1.) y=3
2.) y=13
2y + y = 3y , 22+17= 39
3y = 39 , divide 3 on each side (which cancels out the 3 with the y which leaves you with y)
3.) y=10
3y - y = 2y , 35-15= 20
2y=20 , do the same as # 2.
4.) y=4
9y - 5y = 4y , 48-32= 16
4y=16, do the same as #2 & #3
5.) (4,5)
x + 3y = 19
2x - 3y = -7
solve for x first ; x + 2x= 3x , 19-7 = 12; 3x = 12 ; divide 3 ; x= 4. You know have to make the x's cancel out. so I will multiply -2 on the first equation. -2(x+3y=19)
-2x - 6y = -38
2x - 3y = -7
Now solve for y ; -6y + -3y = -9y , -38 + -7 = -45; -9y=-45 ; divide by -9 (since they are both negative your answer will be positive) ; y= 5
6.) (6,8)
x + 4y = 38
-x - 3y = -30
solve for y first ; 4y - 3y = y , 38-30 = 8; y=8 (that simple!) Now you need to find a common multiple for 4 & 3 which is 12. So you will have to multiply each equation by either 4 or 3.
(x + 4y = 38)*3 = 3x + 12y = 114
(-x - 3y = -30)*4 = -4x - 12y = -120
solve for x ; 3x - 4x = -x , 114-120= -6 ; -x=-6. Since the x has a negative that means there's still a 1 there so -1x=-6 ; you will need to divide this which makes the 6 a positive; x=6
<h2>Complete Question: </h2>
The energy usage of a light bulb is a function. The input for the function is ___, measured in hours. The output of the function is energy usage, measured in _____. Identify the functional relationship between the variables. ________ is a function of __________. The graph of the function will show energy usage on the ________ axis and time on the _______ axis.
- Input is <u>time</u>.
- Output is measured in <u>kilowatts</u>.
- <u>Energy usage</u> measured in kilowatts is a function of <u>time</u> measured in hours.
The graph representing the function will show:
- energy usage (kilowatts) on the <u>y-axis</u>
- time (hours) on the <u>x-axis.</u>
A light bulb as a function expends energy which is measured in kilowatts and it is dependent on time measured in hours.
This implies that, the amount of energy usage of the light bulb is determined by the number of hours the light bulb is turned on.
Thus, energy usage of the light bulb (kilowatts) is a function of time (hours).
Graphing the function, we would plot<em><u> the input (time) on the x-axis, against (output) energy usage on the y-axis.</u></em>
<em>Therefore</em>,
Input = time (hours) - plotted on the x-axis.
Output = energy usage (kilowatts) - plotted on the y-axis.
Learn more about functions here:
brainly.com/question/18738793
