Answer:
third option
Step-by-step explanation:
set all the x's equal to zero
Answer:
Step-by-step explanation:
We have been given that in a population of exam scores, a score of x=48 corresponds to z=+1.00 and a score of x=36 corresponds to z=-0.05.
To find the values of mean and standard deviation, we will use z-score formula as:
Let us solve for x (sample score).
Upon substituting our given values, we will get two equations as:
Upon substituting equation (1) in equation (2), we will get:
Therefore, the mean of the given data would be approximately 36.57.
Upon substituting in equation (1), we will get:
Therefore, the standard deviation for the given data would be approximately 11.43.
<span>So we want to know what is the area of the shaded reagion that consists of a circle inside a square If the side of the square is a=10cm. For that we simply calculate both areas and subtract the area of a circle from the area of a square: area of a square A=10^2=100 cm^2, area of a circle B=pi*r^2 where r=a/2. So: B=3.14*5^2=78.5cm^2: A-B=100-78.5=21.5cm^2 So the correct answer is D</span>
First 40 hours rate = $12 per hour.
Next 10 hours charge ( Upto 50 hours) = A half of $12 that is $6 per hour.
And after next 10 hours chrges ( More than 50 hours) = 2 times of initial rate, that is 2*12 = $24 per hours.
Let us take variale x for number of hours and f(x) is the function for total earning for x hours.
So, we can setup a piecewise function as
Therefore,
70 hours can be divided into = 40 hours + 10 hours + 20 hours.
Total earning of 70-hour week = 12* 40 hours + 6 * 10 hours + 24*20 hours
= 480 + 60 + 480
= $1020.
Therefore, he earn $1020 for a 70-hour week.
Answer:
3
Step-by-step explanation:
The opposite sides are equal
2y+ 4 = 10
2y = 6
y = 3