Answer:
x = 13.5
Step-by-step explanation:
To find x, we use the sine rule
For the sine rule,
the ratio of the sides to the sine of the angle facing the side is equal for all the sides of the triangle
Thus,
x/sin 34 = 11/ sin 27
x = 11 sin 34/sin 27
x = 13.5
Answer: 0.0885
Step-by-step explanation:
Given : According to a recent Catalyst Census, 16% of executive officers were women with companies that have company headquarters in the Midwest.
i.e. p= 0.16
Sample size : n= 154
Now, the probability that more than 20% of this sample is comprised of female employees is given by :-

[∵
]
[Using the standard z-value table]
Hence, the required probability = 0.0885
Answer:
The total number of games won by Unicorn is 40.
Step-by-step explanation:
- We are given with a word problem
- We are asked to find the number of unicorns played during the season
- We can do this in two steps
Step 1: Finding the win percentage
Step 2: Finding the number of unicorns played during the season
Step 1 of 2
Let the number of games played by unicorn be x.The unicorn won 60% of the first x-10 games That is 
Combining the 8 games we get,

Step 2 of 2
The unicorn totally won 65% of the games played.
That is 
Equating both the equation gives

Answer:
121.5
Step-by-step explanation:
Find the mean of the last 4 numbers.