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:
C.
Step-by-step explanation:
Hypothesis testing procedure:
Hypothesis:
The null hypothesis will be the variances of sales of two musical stores are equal and the alternative hypothesis will be the variances of sales of two musical stores are not equal
Level of significance: alpha=0.05
Test statistic: F=variance A/variance B=(30)^2/(20)^2=900/400=2.25
P-value: p=0.107
As the alternative hypothesis mentioned that the variances are not equal this leads to two tailed test. so the p-value is calculated using excel function 2*F.DIST.RT(2.25,24,15).
Conclusion:
The p-value seems to exceed the alpha=0.05 and this depicts that the null hypothesis should not be rejected.
Point-slope form: y - y₁ = m(x - x₁)
m is the slope, (x₁ , y₁) is your point
So your point-slope equation is:
m = -4 (x₁ , y₁) = (4 , -9)
y - y₁ = m(x - x₁)
y + 9 = -4(x - 4)
Multiples of 5 are A{5,10}
multiples of 2 are B{2,4,6,8,10,12,14}
Multiples of 2 OR 5 are {2,4,5,6,8,10,12,14} for 8 possible outcomes.
Therefore the probability of spinning a multiple of 2 or 5
P(2x or 5x)=8/14 = 4/7
Adele's error was she should have multiplied the total of all the choices.
