Answer:
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
Step-by-step explanation:
When finding the probability of events in mathematics, we have both independent and dependent events.
Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.
Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events.
From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.
Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.
Answer:
The unit ratio would be 8 grams per milliliters
Step-by-step explanation:
Since, the unit ratio is a fraction with denominator 1,
In other words, the amount of one quantity in unit amount of other quantity is called unit rate or unit ratio.
Here, the amount first quantity = 16 grams,
The amount of second quantity = 2 milliliters,
Thus, unit ratio = 
= 8 grams per milliliters
Answer:
The 92nd term of the arithmetic sequence is 731 because the common difference between them is 8 and then I added 8 with every single number that I got and I continued adding until I get my 92nd term which is 731.
Factor out the cos<span>θ:
</span>cosθ (2sin<span>θ + sqrt3) = 0
</span>Therefore, the only ways this can happen are if either cosθ = 0 or if (2sin<span>θ + sqrt3) = 0
</span>The first case, cosθ = 0 only at θ <span>= pi/2, 3pi/2.
</span>The second case, <span>(2sin<span>θ + sqrt3) = 0 simplifies to:
</span></span>sin<span>θ = (-sqrt3)/2
</span><span><span>θ = 4pi/3, 5pi/3
</span></span><span><span>Therefore the answer is A.
</span></span>
Answer:
y = 7
Step-by-step explanation:
5(3y - 13) = 6y - 2
5*3y + 5*-13 = 6y - 2
15y - 65 = 6y - 2
15y - 6y = 65 - 2
9y = 63
y = 63/9
y = 7
Check:
5((3*7)-13) = 6*7 - 2
5(21-13) = 42 - 2
5*8 = 40
