Answer:
The value of x = 1
Step-by-step explanation:
Given
To determine
x = ?
Using the trigonometric ratio
cos Ф = adjacent / hypotenuse
here
Ф = 45°
adjacent of 45° = x
hypotenuse = √2
so substituting Ф = 45° adjacent = x and hypotenuse = √2 in the equation
cos Ф = adjacent / hypotenuse
switch sides
Multiply both sides by 2
∵ 
Divide both sides by √2
Therefore, the value of x = 1
In this case, the expected value of a discrete random variable is equal to the sum of the probability of occurrence of each event multiplied by the value of the result of said event.
Then, the possibilities of dollar gains multiply by their probability of occurrence and add up. In this way, the expected value in this problem is:
Finally, the expected value of making the investment is $ 10 net profit.
Answer:
660 ft³
Step-by-step explanation:
The volume (V) of a rectangular prism is calculated using the formula
V = lbh ( l is length, b is breadth and h is height )
The dimensions must be in the same units, thus we need to change length into feet.
l = 4 × 3 = 12 ft ( 1 yard = 3 feet )
b = 5 ft and h = 11 ft
V = 12 × 5 × 11 = 660 ft³
Answer:
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
Step-by-step explanation:
What we are asked here is imply to state how long in terms of distance would be Arielle position after 15 minutes
Now, 55 ft will take her 234 minutes
x ft will take her 15 minutes
x * 234 = 55 * 15
234x = 3825
x = 3825/234
x = 16.35 ft
This means that she will be 16.35 ft away from the rim in 15 minutes at this current rate.
