HELP!! <3 Right now, the gym covers an area of x square feet. Ms.Lauren wants to increase the size of the gym by 20%. Which e
2 answers:
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Answer:
0.7698
Step-by-step explanation:
If you call your random variable , then what you are looking for is
because you want the probability of being <em>between 87 and 123.</em>
We need a table with of the normal distribution. But we can only find the table with and
. Because of that, first we need to <em>normalize </em>our random variable:
(you can always normalize your variable following the same formula!)
now we can do something similar to our limits, to get a better expression:
And we transform our problem to a simpler one:
(see Figure 1)
From our table we can see that (this is represented in figure 2).
Remember that the whole area below the curve is exactly 1. So we can conclude that (because 0.8849 + 0.1151 = 1). We also know the normal distribution is symmetric, then
.
FINALLY:
For this case we will define the following:
A, B: are the values of the triangle angles
a, b: are the values of the lengths of the sides opposite the angles A, B.
We then have to use the law of the sine:
Clearing the angle B we have:
Substituting values we have:
Answer:
the following is true:
A. angle B=38.08 degrees
A, B: are the values of the triangle angles
a, b: are the values of the lengths of the sides opposite the angles A, B.
We then have to use the law of the sine:
Clearing the angle B we have:
Substituting values we have:
Answer:
the following is true:
A. angle B=38.08 degrees
Answer:
Option b
or
Step-by-step explanation:
The absolute value is a function that transforms any value x into a positive number.
Therefore, for the function x> 0 for all real numbers.
Then the equation:
has two cases
if
(i)
if
(ii)
We solve the case (i)
We solve the case (ii)
Then the solution is:
or