Answer:
I think its B but I have very little evidence. Don't even put B but I was just saying I think it is.
Step-by-step explanation:
Y=-3
-3=-1.5x
you substitiue y value, then you divide both sides by -1.5 and you get 2 for x.
(2,-3)
y=4.5
4.5=-1.5x
you substitute y value, then again you divide both sides by -1.5 and you get 3.
(3,4.5)
y=6
6=-1.5x
same thing for this last one. then once again divide by -1.5 and you get -4.
(-4,6)
Answer:
Option D. 11√6/2
Step-by-step explanation:
We'll begin by calculating the side opposite to angle 60°.
This is illustrated below:
Angle θ = 60°
Opposite =?
Hypothenus = 11
Using the sine ratio, we can obtain the side opposite to angle 60° as follow:
Sine θ = Opposite/Hypothenus
Sine 60 = Opposite /11
Cross multiply
Opposite = 11 × Sine 60
Sine 60 = √3/2
Opposite = 11 × √3/2
Opposite = 11√3/2
Finally, we shall determine the value of x as follow:
Angle θ = 45°
Opposite = 11√3/2
Hypothenus = x
Using the sine ratio, we can obtain the value of x as shown below:
Sine θ = Opposite/Hypothenus
Sine 45° = 11√3/2 /x
Cross multiply
x × Sine 45° = 11√3/2
Sine 45° = 1/√2
x × 1/√2 = 11√3/2
x/√2 = 11√3/2
Multiply through by √2
x = √2 × 11√3/2
x = 11√6/2
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The probability that the student knows the answer to the question is 
The probability that that the student will guess is 
The probability that that the student get the correct answer given that the student guessed is 
Here W denotes that the student gets the correct answer
Generally it a certain fact that if the student knows the answer he would get it correctly
So the probability the the student got answer given that he knows it is

Generally from Bayes theorem we can mathematically evaluate the probability that the student knows the answer given that he got it correctly as follows

=> 
=> 
Answer:
14 days
Step-by-step explanation:
Amount earned by gardener for each day worked = $60
Amount paid by gardener for each day when absent = $15
Total number of days = 20
Let the total number of days when the gardener was working = x
Then he was absent for (20 - x) days.
Total amount earned during this period = $750
Then, ![\[60x - 15(20-x) = 750\] ](https://tex.z-dn.net/?f=%5C%5B60x%20-%2015%2820-x%29%20%3D%20750%5C%5D%0A)
=> ![\[60x + 15x - 300 = 750\]](https://tex.z-dn.net/?f=%5C%5B60x%20%2B%2015x%20-%20300%20%3D%20750%5C%5D)
=> \[75x = 1050\]
=> x = 14
So the gardener worked for 14 days out of 20.