You have to make a cos graph that starts its minimum and of -2, has an amplitude of 10, a period of 10 and a maximum of 18.
I decided to use a cos graph since cos graphs start at their minimum or maximum unlike a sine graph that starts halfway between the minimum and maximum. You also know the amplitude has to be 10 since 18+2=20 and 20/2=10. We were also told that the water wheel completels a rotation every 10 minutes which means the period is 10 minutes.
lets start of with a regular cos(x) graph. This starts on its maximum instead of minimum so we have to multiply it by -1 to get -cos(x) which does start on its minimum.
-cos(x) has an amplitude of 1 instead of 10, to fix that we multiply it by 10 to get -10cos(x) which has an amplitude of 10.
-10cos(x) has a period of 2π instead of 10, to fix this we multiply the x by 2π/10 to get -10cos((π/5)x) which now has a period of 10.
-10cos((π/5)x) has a minimum of -10 and maximum of 10 instead of a minimum of -2 and maximum of 18, to fix this we add 8 to -10cos((π/5)x) to get -10cos((π/5)x)+8 which does have a minimum of -2 and maximum of 18.
Therefore the answer is y=-10cos((π/5)x)+8. x being time in minutes and and y being the height in feet.
I hope this helps. Let me know if anything is unclear.
1 hour - 200 calls |multiply 8
8 hours - 1600 calls
There are 8 employees so every employee take 1600 : 8 = 200 phone calls daily
Answer:
0.818
Step-by-step explanation:
Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.
We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).
We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have
We conclude that
Hence, the shipment will be accepted with probability 0.818
<em>I hope this helps you!</em>
(Lets hope i'm right.)
1. A I think.
2. A since its a question
Have a lovely day! ~Pooch ♥
Answer:
A) T = -1.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
10t+4−2t=2−2(t+4)
10t+4+−2t=2+(−2)(t)+(−2)(4)(Distribute)
10t+4+−2t=2+−2t+−8
(10t+−2t)+(4)=(−2t)+(2+−8)(Combine Like Terms)
8t+4=−2t+−6
8t+4=−2t−6
Step 2: Add 2t to both sides.
8t+4+2t=−2t−6+2t
10t+4=−6
Step 3: Subtract 4 from both sides.
10t+4−4=−6−4
10t=−10
Step 4: Divide both sides by 10.
Hope this helps!
:)
:)
:)
-Josh
