Answer:
3^12
Step-by-step explanation:
Simplify the expression, 3^10/3^-2.
Next, solve for the sum. which will be 3^12.
Full answer is 531441
Answer:
y = (-4/5)x + 12/5
Step-by-step explanation:
Slope = (4-0)/(-2-3) = 4/-5 = -4/5
y = (-4/5)x + c
When x = 3, y = 0
0 = (-4/5)(3) + c
c = 12/5
y = (-4/5)x + 12/5
5y = -x + 12
5y + x = 12
The Z-score is calculated by the formula below
![\begin{gathered} z-score=\frac{(x-\mu)}{\sigma}_{} \\ \mu=\operatorname{mean} \\ \sigma=s\tan dard\text{ deviation} \\ x=\text{score} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20z-score%3D%5Cfrac%7B%28x-%5Cmu%29%7D%7B%5Csigma%7D_%7B%7D%20%5C%5C%20%5Cmu%3D%5Coperatorname%7Bmean%7D%20%5C%5C%20%5Csigma%3Ds%5Ctan%20dard%5Ctext%7B%20deviation%7D%20%5C%5C%20x%3D%5Ctext%7Bscore%7D%20%5Cend%7Bgathered%7D)
Step 2: Substitute the given parameters in the formula
![\begin{gathered} z-\text{score}=\frac{145-165}{40} \\ Z=-\frac{20}{40} \\ Z=-\frac{1}{2} \\ Z=-0.5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20z-%5Ctext%7Bscore%7D%3D%5Cfrac%7B145-165%7D%7B40%7D%20%5C%5C%20Z%3D-%5Cfrac%7B20%7D%7B40%7D%20%5C%5C%20Z%3D-%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20Z%3D-0.5%20%5Cend%7Bgathered%7D)
Hence, the z-score of a person who scored 145 on the exam is -0.5
Answer:
x = 8
Step-by-step explanation:
6 = 14 - x
chance the equation around so it is solvable
14 - x = 6
14 - 6 = x
now solve
14 - 6 = 8
that means x equals 8 so
6 = 14 - 8
-5x^3 + 2x^2 + 1
a coefficient is the number that is multiplied by the variable.For instance, the coefficient of 2x is 2....because 2 (the number) is multiplied by the variable x.
so in ur problem....there are 2 coefficients..-5 and 2.
** the number 1 is not a coefficient, it is a constant...a " loner " with no variables (letters) attached.
** and if u have just the letter...such as n, the coefficient to that is 1 but the one is just not written...it is actually 1n.
okay...I am gonna shut up now :)