Which of the following expressions is used when referring to the outcomes of two variables?a. mutually exclusive
b. joint probabilities
c. independent events
d. sample spaces Please select the best answer from the choices provided A B C D Mark this and return Save and Exit Next

Answer:  D) csc (2π/3)

Step-by-step explanation:

2π/3 is in Quadrant II

Quadrant II has a negative x-value and a positive y-value.

x-values are: cos & sec

y-values are: sin & csc

tan = y/x so will be negative in Quadrant II

A) sec = -

B) tan = -

C) cos = -

D) csc = +     this works!

Answer:

you have to put in the answers.

Answer:

$385.00 = $85.00 * 3.647 + $75.00

Step-by-step explanation:

The equation that best represents the situation is:

Total Cost = Hourly Rate x Repair Time + Diagnosis Fee

In this case, the hourly rate is $85.00 and the diagnosis fee is $75.00. We are given that the total cost is $385.00. Let's represent the repair time as "t" in hours.

So, we can write the equation as:

$385.00 = $85.00 * t + $75.00

To solve for the repair time "t", we need to isolate the variable.

First, we subtract $75.00 from both sides of the equation:

$385.00 - $75.00 = $85.00 * t

Simplifying, we get:

$310.00 = $85.00 * t

Next, we divide both sides of the equation by $85.00 to solve for "t":

$310.00 / $85.00 = t

Using a calculator, we find that t is approximately 3.647, which means the repair time is approximately 3.647 hours.

Therefore, the equation that best represents the situation is:

$385.00 = $85.00 * 3.647 + $75.00

Answer:

Step-by-step explanation:

You didn't list the options from which we are to choose as your system of inequalities, but that doesn't matter...we'll come up with them on our own and then you can match them to your options.  The first inequality is going to be about the number of hours worked.  The second inequality is going to be about the money earned.  Hours worked and money earned have to be in 2 different inequalities because they are not the same.  If x is one job and y is the other, and the combination of these jobs cannot be more than 12 hours total, then the inequality for this is:

x + y ≤ 12

That represents the hours worked.  As far as the money goes, she makes $8 per hour, x, at the first job, and $9 per hour, y, at the second job.  She wants the combination of these wages to be at least $100.  The inequality that represents the money earned is:

8x + 9y ≥ 100

That is the system that represents your situation.

Answer with Step-by-step explanation:

Sample space on rolling two number cubes is:

(1,1)    (1,2)    (1,3)    (1,4)    (1,5)   (1,6)

(2,1)   (2,2)   (2,3)   (2,4)   (2,5)   (2,6)

(3,1)   (3,2)   (3,3)   (3,4)   (3,5)   (3,6)

(4,1)   (4,2)   (4,3)   (4,4)   (4,5)   (4,6)

(5,1)   (5,2)   (5,3)   (5,4)   (5,5)   (5,6)

(6,1)   (6,2)   (6,3)   (6,4)   (6,5)   (6,6)

Sum of the numbers on the cubes lies between 2 and 12

A = {the sum of the number cubes is odd}

   ={3,5,7,9,11}

B = {the sum of the number cubes is divisible by 3}

   ={3,6,9,12}

Hence, A ∪ B={3, 5, 6, 7, 9, 11, 12}