Answer:

Step-by-step explanation:
The diagram shows right triangle with hypotenuse of 15 units and angle of 30°. This angle is opposite to the leg with length of x units.
In the right triangle, the leg opposite to the 30° angle is half of the hypotenuse, so

The answer is -1.1
Hope you get it right
Answer:
The company has to produce more than 92 guitars and sell them for making a profit.
Step-by-step explanation:
These are the cost and revenue functions, where x represents the number of guitars to be manufactured and sold: R(x) = 120x, and C(x) = 100x + 1840.
Therefore, the condition for no loss-no gain for manufacturing x number of guitars is
R(x) = C(x)
⇒ 120x = 100x + 1840
⇒ 20x = 1840
⇒ x = 92
Therefore, the company has to produce more than 92 guitars and sell them for making a profit. (Answer)
Standard deviations of the four activities of the critical path are 1,2,4,2.
Standard deviation of this critical path = Sum of square root of variance of this corresponding critical path
Standard deviation of critical path 



Now we need to find the probability that the project will completed in 38 weeks given that its expected completion time is 40 weeks.
That is, we need to find P(X<38) :


Probability 
Thus the probability that the project will be completed in 38 weeks is 0.34.
Answer:
46,189
Step-by-step explanation:
The prime numbers that are less than 20 are :
1,2,3,5,7,11,13,17,19
to get the greatest value, we multiply the four numbers with the largest values i.e
11 x 13 x 17 x 19 = 46,189