Answer:
7/25
Step-by-step explanation:
Probability = # of favorable outcomes / # of possible outcomes
Favorable outcomes = # of blue and yellow marbles
There are 3 yellow marbles and 4 blue marbles
There are 7 blue and yellow marbles so the favorable outcome is 7
Possible outcomes = total number of marbles
12 + 3 + 6 + 4 = 25
There are a total of 25 marbles
So possible outcomes = 25
If probability= favorable outcomes / possible outcomes then the probability of pulling a blue or yellow marble is 7/25
Answer:
D.) 38.6 m
Step-by-step explanation:
Use the cosine ratio:
Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:
Now isolate the variable. Multiply both sides by x:
The x's on the right side cancel each other out. Simplify:
Now divide both sides by cos75°:
The cos75° on the left side cancels each other. Simplify:
Insert this value into a calculator to simplify the value of x:
The hypotenuse is 38.6 m.
:Done
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Answer: x=2 because for any y value the x value is always 2.