<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = 
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)
Not 100% sure this is correct but this seems correct.
Answer:
-3x + 7
Step-by-step explanation:
she used the y-intercept as the slope and the slope as the y- intercept.
The expected value per game is -0.26. Over 1000 games, you can expect to lose $263.16.
To find the expected value, we multiply the probability of winning by the amount of winnings, the probability of losing by the amount of loss, and adding those together.
We have a 1/38 chance of winning; 1/38(175) = $4.61. We also have a 37/38 chance of losing; 37/38(5) = $4.87.
$4.61-$4.87 = -$0.26 (rounded)
To five decimal places, our answer is -0.26136; multiplied by 1000 games, this is $261.36 lost.
Answer:
B
Step-by-step explanation:
Two events A and B are called independent, when
where 
is the probability that B occurs given that A has already occurred.
A = randomly selected person is a student
B = randomly selected person prefer "Vikings"
B|A = randomly selected student prefer "Vikings"
Probabilities:
Since
we can state that events are not independent.
