We have two products: a two-slice toaster and a four-slice toaster.
Lets call T the number of two-slice toasters produced and F the number of four-slice toasters produced.
If we have 300 hours per week of labor, the sum of the labor required for T and F has to be lower or equal to that value.
The labor hours that take to make the two-slice toasters can be written as 6*T, as it is the product of the hours per unit (6 hours/unit) by the number of units (T units).
The same can be done for F, where the labor required can be expressed as 10*T.
If we add these terms, and make them be less or equal than 300, we get:
The production capacity is 40 units, so the sum of T and F has to be less or equal than 40.
We can express this as:
Answer:
The system of inequalities for this problem becomes:
6T+10F<=300
T+F<=40
Answer:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
Step-by-step explanation:
For this case we assume the following probability distribution:
X 5 6 7 8 9 10
P(X) 0.05 0.15 0.33 0.28 0.12 0.07
First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.
In order to calculate the expected value we can use the following formula:
And if we use the values obtained we got:
For this case this value means that the expected score is about 7.48
In order to find the standard deviation we need to find first the second moment, given by :
And using the formula we got:
Then we can find the variance with the following formula:
![Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096](https://tex.z-dn.net/?f=Var%28X%29%3DE%28X%5E2%29-%5BE%28X%29%5D%5E2%20%3D57.46-%287.48%29%5E2%20%3D1.5096)
And then the standard deviation would be given by:
Volume = (l*h*w)\3
v= (20*15*15)\3
v=4500\3
v=1500
Answer:
x<-7/3
Step-by-step explanation:
3x+12<5
3x+12-12<5-12
3x<-7
3x/3<-7/3
x<-7/3
Easy what is 25-10?
it is 15. So your answer would be 0.15
Can I plz have brainliest?
