Answer:
z = 0.9778x^2 / y.
Step-by-step explanation:
When z varies with the square of x the equation is z = kx^2 where k = a constant.
If it also varies inversely with y the equation is z = kx^2/y.
When z = 4.4 , x = 3 and y = 2 we have:-
4.4 = k * 3^2 / 2
Multiplying by 2:
8.8 = 9k
k = 8.8 / 9
= 0.9778.
So the required formula is z = 0.9778x^2 / y.
6 Pallets per hour.
If there are 9 that need to be done in 1.5 hours, we have 9 in 90 minutes. If we divide that by 9, we get 1 every 10 minutes. If we multiply that to get an hour, we get 6 done in 60 minutes.
Answer:
The probability will be "0.0111".
Step-by-step explanation:
The given values are:
Mean,
= 79
Standard deviation,
= 3.5
Now,
⇒ 
⇒ 
So,
= ![1 - P{\frac{(\bar x - \mu \bar x )}{ \sigma \bar x} < \frac{(81 - 79) }{0.875} ]](https://tex.z-dn.net/?f=1%20-%20P%7B%5Cfrac%7B%28%5Cbar%20x%20-%20%5Cmu%20%5Cbar%20x%20%29%7D%7B%20%5Csigma%20%5Cbar%20x%7D%20%20%3C%20%5Cfrac%7B%2881%20-%2079%29%20%7D%7B0.875%7D%20%5D)
= 
= 
Answer:
(a) 0
(b) -3/26
Step-by-step explanation:
(a)
We essentially plug 1 in for x and 2 in for y.
Our expression is 
, so making the correct substitutions yields:
So, the answer for part (a) is 0.
(b)
Again, we're now plugging in 1 for x and 5 for y:
So, the answer for part (b) is -3/26.
Answer:
-270 to -360 degrees I quadrant
And for this case since -300° is between -270 to -360 degrees we can conclude that this angle is in the I quadrant
Step-by-step explanation:
For this case we can solve this problem taking in count the following rule when we have negative angles:
0 to -90 degrees IV quadrant
-90 to -180 degrees III quadrant
-180 to -270 degrees II quadrant
-270 to -360 degrees I quadrant
And for this case since -300° is between -270 to -360 degrees we can conclude that this angle is in the I quadrant
