Probability is represented as the number of ways for an event to happen over all possible outcomes. For the theoretical probability, there is 1 black spot and 5 total options. Therefore, the probability is 1/5, or 0.20.
For experimental probability, there were 103 times it landed on black out of 500 spins. The probability is 103/500, or 0.206.
Lastly, the multiple choice. The larger sample size you take, assuming a fair spinner, the more likely you are to see results similar to the theoretical probability. This is because the larger sample size taken, the less each individual spin effects the outcome.
The diary farmer should use 1000 pounds of 85 % protien and 55 % of 200 pounds to make 1200 pounds of a high-grade 80% protein ration
<em><u>Solution:</u></em>
Let the amount of 85 % protien supplement be "x"
Then amount of 55 % protien be (1200 - x)
According to given question,
85 % of "x" protien supplement + 55 % of 1200 - x protien used to get 80 % of 1200 pounds
85 % of x + 55 % of (1200 - x) = 80 % of 1200
Pounds of 85 % protien used = 1000 pounds
Then pounds of 55 % protien used = 1200 - 1000 = 200 pounds
Thus he should use 1000 pounds of 85 % protien and 200 pounds of 55 % protien to get 1200 pounds of a high-grade 80% protein ration
Answer:
The ruins of the day
Painted with a scar
And the more I straighten out
The less it wants to try
The feelings start to rot
One wink at a time
Oh oh
Forgiving who you are
For what you stand to gain
Just know that if you hide
It doesn't go away
When you get out of bed
Don't end up stranded
Horrified with each stone
On the stage
My little dark age
Picking through the cards
Knowing what's nearby
The carvings on the face
Say they find it hard
And the engine's failed again
All limits of disguise
The humor's not the same
Coming from denial
Oh oh
I grieve in stereo
The stereo sounds strange
I know that if you hide
It doesn't go away
If you get out of bed
And find me standing all alone
Open-eyed
Burn the page
My little dark age
I grieve in stereo
The stereo sounds strange
You know that if it hides
It doesn't go away
If I get out of bed
You'll see me standing all alone
Horrified
On the stage
My little dark age
Giddy with delight
Seeing what's to come
The image of the dead
Dead ends in my mind
Policemen swear to God
Love's seeping from the guns
I know my friends and I
Would probably turn and run
If you get out of bed
Come find us heading for the bridge
Bring a stone
All the rage
My little dark age
I grieve in stereo
The stereo sounds strange
I know that if you hide
It doesn't go away
If you get out of bed
And find me standing all alone
Open-eyed
Burn the page
My little dark age
All alone
Open-eyed
Burn the page
My little dark age
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
4
3
= 1.3333333333333
θ =
arctan( ΔY ) + 180°
ΔX
= 233.13010235416°
ΔX = -3 – 3 = -6
ΔY = -6 – 2 = -8
Distance (d) = √ΔX2 + ΔY2 = √100 = 10
Equation of the line:
y = 4/3x – 2
When x=0, y = -2
When y=0, x = 1.5
D.
