Answer:
g(x)=3
Step-by-step explanation:
Let's find the answer.
W(f,g)=3e^x which can be written as:
W(f,g)=(3)*(e^x), notice that:
(e^x)=f(x) so:
W(f,g)=3*f(x), establishing:
W(f,g)=g(x)*f(x) then:
g(x)=3
In conclusion, g(x)=3.
Measures of sum of the two opposite angles.
Answer:
Option A ( -3/2 ,
)
Step-by-step explanation:
- According to Question, The Spinner Rotate 600* Thus after Completing 360* it Comes Exactly Where It Started . Now again rotate It 180* .
- Now We Are on ( -X axis ) & Completed 360*+180*=540* Rotation
- Now After Rotate It 60* More we come in Third Quadrant & Here In Third Quadrant Only Tangent & Cotangent Is Positive .(Sine & Cosine is Negative)
(For Diagram, Please Find in attachment)
Now In Triangle OAB
1/2 = -X / 3 Thus X= -3/2
/2 = -Y / 3 Thus Y = -
* 3 /2
In the study the total number of males was 739 and the total number of all employees was 1501. The men who felt stressed or tensed out during work were 244 and those that never felt stressed out were 495.
Assuming that, A= Employed adults was male and B= Employed adult felt tense or stress out at work.
Then , P(A/B) = P(A∩B)/ P(B)
P(B) is the probability of having a male.
P(B) = 739/1501
P(A∩B) is the probability of a man being stressed or tensed out at work.
and P(A∩B) = 244/ 1501
Hence, P(A/B) =(244/1501)/ (739/1501)
= 244/739
= 0.3302.
Thus, the probability that the employed work felt tense or stress at work given that the employed employee was male is 0.3302
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.