Answer:
Option A
Step-by-step explanation:
A type I error is committed when a researcher rejects the null hypothesis when it is actually true.
The null hypothesis is: U <= 50%
The alternative is: U > 50%
Thus, the principal could have committed an error by rejecting null hypothesis and concluding that more than 50% of students want earlier lunch, when in actuality 50% or less want earlier lunch.
Answer:
Cedric's share=$120
Abel's share=$60
Step-by-step explanation:
Abel will receive half as much as Cedric
Let
Cedric's share=x
Abel's share = 1/2 of x
Total money=$180
x + 1/2x = 180
2x+x/2 =180
3/2x=180
Divide both sides by 3/2
x= 180÷3/2
=180 × 2/3
=360/3
=120
Therefore,
Cedric's share = x = 120
Abel's share=1/2x
=1/2 × 120
=120/2
=60
Cedric's share=$120
Abel's share=$60
Salt flows in at a rate of (5 g/L)*(3 L/min) = 15 g/min.
Salt flows out at a rate of (x/10 g/L)*(3 L/min) = 3x/10 g/min.
So the net flow rate of salt, given by
in grams, is governed by the differential equation,

which is linear. Move the
term to the right side, then multiply both sides by
:


Integrate both sides, then solve for
:


Since the tank starts with 5 g of salt at time
, we have


The time it takes for the tank to hold 20 g of salt is
such that

Answer:
y =1/3x+20
Step-by-step explanation:
He starts 20 minutes late so we need to add 20 minutes to the time
He travels 3 times faster so he takes 1/3 of the normal time x
y =1/3x+20
To answer this question you would subtract the $250 deductible from $1400. The answer would be $1150 remaining After the deductible. You would then pay 10% of this $1150 for your cost. 0.10 times $1150 =$115. Add the $115 to the $250 deductible and your total cost would be $365.