Answer: 0.5049
Step-by-step explanation:
The probability that the first card drawn is a heart is 13/52 = 1/4
The probability that the second card drawn, without replacement, is a spade is 13/51
So the probability of drawing a heart for the first card and spade for the second card is
1/4 + 13/51 = 103 / 204 = 0 5049
Answer:
Step-by-step explanation:
In right triangles only, the tangent of an angle is equal to its opposite side divided by its adjacent side.
Therefore, we have the following equation:
Solving, we get:
Also in right triangles only, the cosine of an angle is equal to its adjacent side divided by the hypotenuse of the triangle.
We can also use the Pythagorean theorem now that we've found BC. However, if you choose to do so, make sure you don't use a rounded value for BC, as that could cause a notable deviation in your final answer.
Using the Pythagorean theorem to verify our answers:
Answer:
f(g(x)) = -9(sqrt(x + 1) ) + 9
-36
Step-by-step explanation:
This is easier to see if you use the expanded notation.
f(g(x)) = ?
But what that means is that the left most function is f(x) and where every you see an x, you put in a g(x) like so
f(g(x)) = -9(g(x)) + 9 Now substitute the right side of g(x) into the equation for f(x)
f(g(x)) = -9(sqrt(x + 1) ) + 9
Edit to get the numerical answer.
This should be your answer or the expression that will give you the answer.
f(g(24)) = -9(sqrt(24+1) ) + 9
f(g(24)) = -9sqrt(25) +9
f(g(24)) = - 9*5 + 9
f(g(24)) = - 45 + 9
f(g(24)) = - 36
3/19 = 0.157...not this one
3/16 = 0.1875...not this one
3/11 = 0.2727 <== this one does
3/8 = 0.375...not this one
Answer: 2
8 to the power of 1/3 is 2.
Step-by-step explanation:
