Answer:
since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes
Step-by-step explanation:
We have y = 13 - 3x and y = 7 - x.
=> 13 - 3x = 7 - x
=> 2x = 6, x = 3.
Then y = 7 - (3), y = 4.
Hence the price of a pencil is $3 and the price of a notebook is $4. (C)
Hey there!
1/8(p + 24) = 9
1/8(p) + 1/8(24) = 9
1/8p + 3 = 9
SUBTRACT 3 to BOTH SIDES
1/8p + 3 - 3 = 9 - 3
CANCEL out: 3 - 3 because it gives 0
KEEP: 9 - 3 because it help solve for the p-value.
NEW EQUATION: 1/8p = 9 - 3
SIMPLIFY IT!
1/8p = 6
MULTIPLY 8 to BOTH SIDES
1/8p * 8 = 6 * 8
CANCEL out: 1/8 * 8 because it gives 1
KEEP: 6 * 8 because it gives the p-value.
NEW EQUATION: p = 6 * 8
SIMPLIFY IT!
p = 48
Therefore, your answer is: p = 48
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer: 105
Step-by-step explanation: 25 frames is 1 second. The video already played 3 and 2/5 seconds before the player started to count 0, so you can write 3 and 2/5 seconds as an improper fraction. =(5*3)+2 / 5 = 17/5 seconds. Multiply by 25 frame. 17/5 *25 =85 frames. So according to the video counter,after 17/5 seconds,it should count 85 frames.However,at 0 seconds,it indicated a count of 190 frames. then to get the number of frames that were already in count you would subtract 85 frames from the 190 frames.
190-85=105 frames
(Not 100% sure so apologies if I'm wrong)
Answer:
a. proportions have not changed significantly
Step-by-step explanation:
Given
Business College= 35 %
Arts College= 35 %
Education College = 30%
Calculated
Business College = 90/300= 9/30= 0.3 or 30%
Arts College= 120/300= 12/30= 2/5= 0.4 or 40%
Education College= 90/300= 9/30 = 0.3 or 30%
First we find the mean and variance of the three colleges using the formulas :
Mean = np
Standard Deviation= s=
Business College
Mean = np =300*0.3= 90
Standard Deviation= s= == 7.94
Arts College
Mean = np =300*0.4= 120
Standard Deviation= s= == 8.49
Education College
Mean = np =300*0.3= 90
Standard Deviation= s= == 7.94
Now calculating the previous means with the same number of students
Business College
Mean = np =300*0.35= 105
Arts College
Mean = np =300*0.35= 105
Education College:
Mean = np =300*0.3= 90
Now formulate the null and alternative hypothesis
Business College
90≤ Mean≥105
Arts College
105 ≤ Mean≥ 120
Education College
U0 : mean= 90 U1: mean ≠ 90
From these we conclude that the proportions have not changed significantly meaning that it falls outside the critical region.