Answer:
b
Step-by-step explanation:
doesn't tell the amount of money each check he gets
The length of each side of the larger square is 8 cm.
<u>Step-by-step explanation</u>:
Step 1 ;
- The combined area of two squares = 80 sq.cm
- The side of small square = x
- The side of larger square = 2x
Step 2 :
Area of the square = a^2
Area of small square + area of large square = 80
x^2 + (2x)^2 = 80
x^2 + 4x^2 = 80
5x^2 = 80
x^2 = 80/5
x^2 = 16
x = ±4
Step 3 :
Since length cannot be negative, the value of x= 4
∴ The length of the side of small square = 4cm
The length of the side of larger square = 2x = 8cm
Answer:
59 to 66
Step-by-step explanation:
Mean test scores = u = 74.2
Standard Deviation = 
= 9.6
According to the given data, following is the range of grades:
Grade A: 85% to 100%
Grade B: 55% to 85%
Grade C: 19% to 55%
Grade D: 6% to 19%
Grade F: 0% to 6%
So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.
6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for 0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)
The formula for z score is:
For z = -1.56, we get:
For z = -0.88, we get:
Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)
The correct answer would be g(x).
Notice that g(x) has a greater slope than f(x), which would make the line, if it were to be graphed, steeper, which means it increases at a faster rate.
To prove that g(x) has a greater output, you can plug in values into x to see which equation has the greater output.
Let's start with the number 1:
2(1)+2=4
7(1)+1=8
Then you can try other numbers such as 10 to see if this trend continues:
2(10)+2=22
7(10)+1=71
As you have seen, g(x) appears to have the greater output.
Hope this helps!
First you must add up all of the numbers. Then divide the sum by the number of students in the class. You will get 2.65 as your answer. Then round to the nearest number. Your final answer is 3.
