Answer:
120
Step-by-step explanation:
Blue marbles = 2
Red marbles = 3
Total marbles = 2 + 3 = 5
If a marble is drawn 300 times ;prediction for the number of times a blue marble will be drawn :
P(drawing a blue marble) = number of blue marbles / total number of marbles
= 2 /5 = 0.4
Predicted number of times blue is drawn in 300 selections :
300 * 0.4 = 120
Approximately 120 times
You're incorrect. an angle of 155 degrees is an obtuse angle. the angle is obviously an acute angle, as it is under 90 degrees. the answer is 50 degrees, or A.
Using simpler trigonometric identities, the given identity was proven below.
<h3>
How to solve the trigonometric identity?</h3>
Remember that:

Then the identity can be rewritten as:

Now we can multiply both sides by cos⁴(x) to get:

Now we can use the identity:
sin²(x) + cos²(x) = 1

Thus, the identity was proven.
If you want to learn more about trigonometric identities:
brainly.com/question/7331447
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Answer:
D). 8.
Step-by-step explanation:
Each quarter will come up heads or tails - that is 2 possibilities.
So for 3 tosses the number of outcomes is 2*2*2 = 8.
F(x) = 1 / (x - 2)...when x = 4
f(4) = 1 / (4 - 2)
f(4) = 1/2 <==
f(x) = 1 / (x - 2)...when f(x) = 1
1 = 1 / (x - 2) ...multiply both sides by (x - 2) eliminating it on the right
1(x - 2) = 1
x - 2 = 1
x = 1 + 2
x = 3 <==