Answer:
23%
Step-by-step explanation:
If in any year there is a 12% chance that a mutual fund will outperform the market, that is in a mutually exclusive situation where the previous years performance is not considered. In this situation where trying to calculate the probability of a mutual fund outperforming the market 2 years in a row, the answer will be 23% as according to the calculations done by the financial analyst where the probability is calculated in a situation dependent on the previous years performance.
Answer: option D
Step-by-step explanation:
Remember the cosine identity:
Given the right triangle DFE shown in the image, you can identify that the adjacent side and the hypotenuse for the angle F of this triangle are:
Now you can substitute values into and then reduce the fraction.
THerefore you get:
-3(x-5)=45
distribute
-3x+15 = 45
subtract 15 from each side
-3x = 30
divide by -3
x = -10
Answer:
Correct arrangement of equation of displacement to find a is as follows;
1- Vt - d = 1/2 a t^2 (^ represents exponent i.e. t square as given in equation)
2- 2(Vt - d ) = a t^2
3- a = 2(Vt - d )/ t^2 (keep in mind, 2(Vt - d) whole divided by t^2)
Step-by-step explanation:
1- In the first equation, Vt is taken to the left side of the equation (keep in mind, original equation of displacement used for reference as given in question) and multiplied by -1 on the both sides of the equation.
2- In the second equation, 2 is multiplied on the both sides.
3- Multiply t^2 on both sides of the equation, We will get a in correct arrangement, which is required to find.
yards/costumes:16/(5/2) = X/(19/2)
Cross multiply.
(5/2)x = 152
Multiply both sides by 2/5.
x = 101 1/3 yards
