Answer:

Step-by-step explanation:
Given

--- First Quadrant
Required
Find tan(A)
The sin of an angle is:

and

By comparison:


So, the Adjacent is:



Collect like terms


Take square roots


The tangent of an angle is:

This gives:

-6y+y2+3-4y2-7+1-4y in simplified form is -10y-3y^2-3
Answer:
25%
Step-by-step explanation:
This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:
P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15
There is a 60% chance of rain on Saturday, mean the equation is
P(X = true) = 0.6
The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:
P(X = true) * P(Y = true)= 0.15
0.6* P(Y = true)= 0.15
P(Y = true)= 0.15/0.6
P(Y = true)= 0.25 = 25%
Answer:
1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)
Step-by-step explanation:
There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.
For this case we have the following multiplication:

We can rewrite this operation to facilitate the calculation.
We have then:

From here, we apply the distributive property.
We have then:

Rewriting we have:

Finally adding all the numbers we have:

Answer:
The value of 6 * 298 is 1788 and the calculations can be provided as follows:
