Answer:
I won't stop the line for a half hour break.
Step-by-step explanation:
<u>Proportions</u>
One quantity A is said to be proportional to other B if A can always be obtained by multiplying or dividing B by any constant number. Numbers {4,8,12} are proportional to {2,4,6} because they can be computed as twice their value
.
There is a situation described in the problem where we need to know if there will be enough time to produce the 900 toasters (the goal for the day) when the assembly line is stopped by half an hour.
Actual time: 2:00 pm
Final time: 5:00 pm
Rate of production: 2 toasters/minute
Actual production: 560 toasters
Updated goal: 900-560 = 340 toasters
Those 340 toasters must be produced in the remaining 3 hours (180 minutes) of work. If the assembly line stops for half an hour (30 minutes), there will be only 150 minutes to finish the goal production. At a rate of 2 toasters/minute, there will be 2*150 = 300 toasters produced. But we need to produce 340 more toasters, so that break cannot be granted or we'll be 40 toasters under goal.
It the line keeps producing for 180 minutes, it would produce 2*180 = 360 toasters, 20 more than the goal.
Note: The maximum break time that can be granted is 20/2 = 10 minutes
Answer:
8
Step-by-step explanation:
-4x+8+2x
2x+8
compare both sides
2x+__= 2x+8
it is 8
Answer:
We are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
Step-by-step explanation:
We are given that in a group of randomly selected adults, 160 identified themselves as executives.
n = 160
Also we are given that 42 of executives preferred trucks.
So the proportion of executives who prefer trucks is given by
p = 42/160
p = 0.2625
We are asked to find the 95% confidence interval for the percent of executives who prefer trucks.
We can use normal distribution for this problem if the following conditions are satisfied.
n×p ≥ 10
160×0.2625 ≥ 10
42 ≥ 10 (satisfied)
n×(1 - p) ≥ 10
160×(1 - 0.2625) ≥ 10
118 ≥ 10 (satisfied)
The required confidence interval is given by
Where p is the proportion of executives who prefer trucks, n is the number of executives and z is the z-score corresponding to the confidence level of 95%.
Form the z-table, the z-score corresponding to the confidence level of 95% is 1.96
Therefore, we are 95% confident that the percent of executives who prefer trucks is between 19.43% and 33.06%
1800 boxes with 24 candies each
Total = 1800 * 24 = 43 200 candies
The machine makes 600 candies in 1 minute
1 candy would take (1/600) minute
43 200 candies would take 43200 * 1/600 = 72
= 72 minutes.
Therefore the 1800 boxes would be done in 72 minutes.
Answer:
Vertex
Step-by-step explanation:
Vertex is the 'point' of an angle
