Answer:
TanФ=-1.793
Step-by-step explanation:




To approximate the P(x<27) we need to find the z-score of the data, this will be given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
z=-1.25
thus
P(x<27)=P(z<-1.25)
=0.1056
=10.56%
Answer: 10.56%
They are both drawn as right angled triangles so if we can constract them then they should obey pythagoras theorem
First traingle:- 8^2 = 64
7^2 + 6^2 = 49 + 36 = 85 so this does not obey the theorem and you cant draw it.
Second traingle: 9^2 = 81 and 5^2 + 7^2 = 25 + 49 = 75 so we cant draw that one either.
Answer:
The required probability = 0.144
Step-by-step explanation:
Since the probability of making money is 60%, then the probability of losing money will be 100-60% = 40%
Now the probability we want to calculate is the probability of making money in the first two days and losing money on the third day.
That would be;
P(making money) * P(making money) * P(losing money)
Kindly recollect;
P(making money) = 60% = 60/100 = 0.6
P(losing money) = 40% = 40/100 = 0.4
The probability we want to calculate is thus;
0.6 * 0.6 * 0.4 = 0.144
The answer is C BECAUSE for this question, you can think relatively. They give you the responses for 54 people surveyed, however they want the answer from 1,140 students. You can set up the proportion of 30/54 = x/1140 to find out the number of students agreeing to keep the mascot. You get 1900/3 or 633 1/3.