Answer:
0.0069
Step-by-step explanation:
This is a power series problem.
The taylor power series expansion for sin(x) = x - x³/3! + (x^(5))/5! - (x^(7))/7! + (x^(9))/9! .......
Our question says we should use the first 5 terms to find the value of sin(π). Thus;
sin(π) = π - π³/3! + (π^(5))/5! - (π^(7))/7! + (π^(9))/9!
This gives;
π - (π^(3)/6) + (π^(5))/120 - (π^(7))/5040 + (π^(9))/362880 ≈ 0.0069
This is the concept of simultaneous equations; We are required to create the equations modelling the above information.
Suppose the number of movie tickets was x and the number of meal tickets was y.
Therefore;
Total number of tickets was:
x+y=22
Total amount earned was:
0.5x+2y=25
The simultaneous equations representing the information is:
x+y=22
0.5x+2y=25
My calculator shows that
(2.1)/(1.488) = 1.41129
which is approximate. If you want the result to two decimal places, then it would be 1.41 and not 1.40
Try 1.41 and it should work out, assuming your teacher wants two decimal places.
Answer: 75%
Step-by-step explanation:
In order to answer this question, we have to know the meaning of a box plot. Boxplots are especially useful in statistical analysis and gives us a meaningful range of values. A box plot consists of 2 shapes, which are the box part and the extended lines. The short sides of the box and the vertical line in the middle of the box represent a certain percentage of the values. The vertical line in the boxplot is the median of your dataset. For example, according to the shape given in the question, the median value for CPA's is 50 and this is closer to the left side of the box. This means that the first half ogf the dataset (when ranked from the smallest to the greatest) is closer to each other. The sides of the box represent the values at the 25% and 75% of the values respectfully.
For example, if we have 100 values, we rank them in order and the 25th value corresponds to the left side of the boxplot (named first quartile), 50th value (which is also the median) corresponds the vertical line in the box and and the 75the value corresponds to the right side of the box (named third quartile).
The extended arms are calculated as accordingly: IQR=(3rd quartile value-1st quartile value). Left extended arm is first quartile-1.5*IQR and right extended arm is third quartile+1.5*IQR. However, this information is not directly related to this question.
Now, this question should seem simpler. The median salary of CPA is 50 and this is equal to left side of the Actuary boxplot, which corresponds to the 25% of actuaries. As a result, CPA median salary is less than 75% of the Actuaries (100%-25%).
Answer:
y=
Step-by-step explanation:
x/y=n-9
x= y(n-9)
x= yn-9n
-yn= -x-9n
yn= x+9n
y=
