Answer:
42
Step-by-step explanation:
In short, the sum of the opposite areas are equal.
x + 30 = 24 + 48
x = 42
To prove this, draw a line from each corner to the "center" where the four lines meet. Along each side of the square are two triangles. These triangles have the same base and the same height, and therefore have the same area.
If we say the triangles at the bottom have area a, the triangles on the left have area b, the triangles on top have area c, and the triangles on the right have area d, then we can write 4 equations:
a + b = x
b + c = 24
c + d = 30
a + d = 48
Adding the first and third equations:
a + b + c + d = x + 30
Adding the second and fourth equations:
a + b + c + d = 24 + 48
Therefore:
x + 30 = 24 + 48
x = 42
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)
Answer:
2
Step-by-step explanation:
It is the only one that makes sense
Answer:
6
Step-by-step explanation:
This function corresponds to 'even' function, then
in order to calculate the 'x' of the vertex: (3+9)/2=6.
Answer:
X=-4
Step-by-step explanation:
5x-10x=22-2
-5x=20
x=-4
