Each friend will have to pay rounded to the nearest thousandth 0.996 so each friend will pay about .99 cents.
Answer:
1 triangle
Step-by-step explanation:
1 triangle= always equals 180 degrees
45+45+90= 180 degrees
Therefore u can only make 1 triangle
Answer:
-5
Step-by-step explanation:
What is the slope of the line represented by the equation y = – – 5x
The equation of the line is given in slope-intercept form. The slope is simply the coefficient of x in the equation.
The slope of the line is thus -5
Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
Probability of winning:
Desired outcomes:
The 6 correct numbers, so
Total outcomes:
6 numbers from a set of 21. So
Probability:
Expected value
probability of earning 40,000.
probability of losing 1. So
The expected value of this game is -$0.26.
Answer:
see explanation
Step-by-step explanation:
Using the trigonometric identities
sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x
cosec x =
Consider left side
=
=
= cosec x = right side ⇒ proven