Answer:
About 1.23 standard deviation above the mean
Step-by-step explanation:
From what we have here, we need to calculate the difference between the given value and the mean and divide by the standard deviation
That would be through calculating the z score as follows;
z-score = (x - mean)/SD
where x is the given value
z-score = (87-71)/13 = 1.23
Since the score is bigger than the mean, the correct choice here is that the score is about 1.23 standard deviation above the mean
Answer:
-37/68
Step-by-step explanation:
3/4(14x+8)-(1/2x+2)=3/8(4-x)-1/4
(21/2x+6)-(1/2+2)=(3/2x-3/8)-1/4
(21/2x-1/2x)+(6-2)=3/2x-3/8-1/4
10x+4=3/2x-5/8
37/8=-17/2x
37/8 (2)=-17/2x(2)
37/4=-17x
37/68=-x
-37/68=x
Answer:
No, middle term should be 40x.
Step-by-step explanation:
![16 {x}^{2} - 2 \times 4x \times 5 + {25}^{2} \\ = {(4x)}^{2} - 40x + {5}^{2} \\ = (4x - 5)^{2} \\](https://tex.z-dn.net/?f=16%20%7Bx%7D%5E%7B2%7D%20%20-%202%20%5Ctimes%204x%20%5Ctimes%205%20%2B%20%20%7B25%7D%5E%7B2%7D%20%20%5C%5C%20%20%20%3D%20%20%7B%284x%29%7D%5E%7B2%7D%20%20-%2040x%20%2B%20%20%7B5%7D%5E%7B2%7D%20%20%5C%5C%20%20%3D%20%284x%20-%205%29%5E%7B2%7D%20%20%5C%5C%20)
Hence, for the given trinomial to be a perfect square its middle term should be 40x and not 36x.
Answer:
x = 6
Step-by-step explanation:
subtract 10 from both sides -> 4x = 24
divide by 4 to get x = 6
Answer:
8
Step-by-step explanation:
a*b=72
a=9
9*b=72
b=72/9
b=8