Answer:
17.2
Step-by-step explanation:
We need to use the law of sines
sin A sin B
------------ = ----------
a b
sin 25 sin 27
------------ = ----------
16 x
Using cross products
x sin 25 = 16 sin 27
Divide each side by sin 25
x = 16 sin 27 / sin 25
x =17.18772863
Rounding to the nearest tenth
x = 17.2
Answer:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Let X the random variable that represent points in a game of bowling of a population, and for this case we know the distribution for X is given by:
Where
and 
We know that the value for Renee is X=175 and the z score obteined was Z=2.
Solution to the problem
And the best way to solve this problem is using the normal standard distribution and the z score given by:
We are interested on the value of
and we can solv for it:


And replacing the values we have:

Answer:
x=2.25
Step-by-step explanation:
- 8=2(x-5)+6x
- 8=2x-10+6x
- 8+10=2x+6x
- 18=8x
- 18/8=x
- 2.25=x