Answer:
The mean would be 14.4 hours.
Step-by-step explanation:
In order to find the mean, or average, of the numbers, you would add all the numbers together.
17 + 15 +14 + 14 + 12 which equals 72
Then, you take the total which is 72, and divide it by how many numbers you added together which is 5.
72/5 = 14.4
Answer:
you have to start with you b which in your problem is 5 so put a point at 5 on the y-axis on your graph. then with the M (the fraction numbers) you have to move either up or down depending if there is a negative number. so yours is 1/2 so then you would start at the 5 point and go up 1 and right 2 then you just keep repeating till you get a few points and can make a line then you just do the same thing for the other equation. start at 3 on the y-axis and then go up 3 and right 4 then just keep repeating till you get a few point and can create a line at the end the lines should cross each other like perpendicular lines
Step-by-step explanation:
hope this helps:)
<h3>
The probability of picking a red face card from the deck is 
</h3><h3>
The probability of NOT picking a red face card from the deck is 
</h3>
Step-by-step explanation:
The total number of cards in the deck = 52
The total number of red( Diamond + Hearts) face cards in the given deck
= 2 Red Queens + 2 Red jacks + 2 Red kings = 6 cards
Let E : Event of picking a red face card from the deck
Now , P( any event) = 
So, here P(Picking a red face card) = 
Hence, the probability of picking a red face card from the deck is
Now, as we know P (any event NOT A) = 1 - P(any event A)
So, P(NOT Picking a red face card) = 1 - P(Picking a red face card)
Hence, the probability of NOT picking a red face card from the deck is
Answer:
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
Step-by-step explanation:
for
I= ∫x^n . e^ax dx
then using integration by parts we can define u and dv such that
I= ∫(x^n) . (e^ax dx) = ∫u . dv
where
u= x^n → du = n*x^(n-1) dx
dv= e^ax dx→ v = ∫e^ax dx = (e^ax) /a ( for a≠0 .when a=0 , v=∫1 dx= x)
then we know that
I= ∫u . dv = u*v - ∫v . du + C
( since d(u*v) = u*dv + v*du → u*dv = d(u*v) - v*du → ∫u*dv = ∫(d(u*v) - v*du) =
(u*v) - ∫v*du + C )
therefore
I= ∫u . dv = u*v - ∫v . du + C = (x^n)*(e^ax) /a - ∫ (e^ax) /a * n*x^(n-1) dx +C = = (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C
I= (x^n)*(e^ax) /a - n/a ∫ (e^ax) *x^(n-1) dx +C (for a≠0)
20x-1000 +4000 = 60x
20x-60x= -4000 +1000
-40x= -3000
x= -3000/-40
75 The mix will be 75 lbs
And $20 coffee will be 75 -50 = 25lbs
