Answer:
cos(52°) = 18/x
x = 18·sec(52°)
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
In this geometry, that means ...
cos(52°) = 18/x
You can use the relation sec(x) = 1/cos(x) to rewrite this as ...
x = 18·sec(52°)
_____
You can also use the complementary angle and the complementary trig function.
sin(90° -52°) = 18/x
Answer: The mean for the probability distribution will be 69.25.
Explanation:
Since we given that





As we know the formula for expectation of x i.e. known as mean for the probability distribution,

So, we apply this formula in our case,


Hence, the mean for the probability distribution will be 69.25.
Answer:
The correct answer is 1/2 or 0.5
Step-by-step explanation:
8(15-4)/4^2-5
8(11)/4^2-5
Now i'm going to multiply 8 by 11
88/4^2-5
Now solve 4^2
Which is 16.
Now we have 88/16-5
Divide 88 and 16 which is 5.5.
Now minus 5.5 - 5 which gets us our answer: 0.5
Quart because it's bigger than a pint and a quart is the closest to a gallon
The graph should look the the one I attached to this answer