Answer:
E(x)=0.15
V(x)=0.3075
S(x)=0.5545
Step-by-step explanation:
The mean of a discrete variable is calculated as:
where 
are the values that the variable can take and 
are their respective probabilities.
So, if we call x the number of defective transistors in cartons, we can calculate the mean E(x) as:
Because there are 0 defective transistor with a probability of 0.92, 1 defective transistor with a probability of 0.03, 2 defective transistors with a probability of 0.03 and 3 defective transistors with a probability of 0.01.
At the same way, the variance V(x) is calculated as:
Where 
So, the variance V(x) is equal to:
Finally, the standard deviation is calculated as:
When graphing, its how much you rise and run
thats the formula when u have a graph and the question is asking for the slope.
you chose a point, and go down or up however many times it goes to the next point, and you run to the left however many times it gets you to get to that point.
if the line goes downward the slope is therefore negative, and if the line goes upward, the slope is therefore, positive.
m in math is meant to be slope, so
9x - y = 5
7x - 6y = 5
Solve both equations for one variable. I'll solve for y.
9x - y = 5 Subtract 9x from both sides
-y = -9x + 5 Divide both sides by -1
y = 9x - 5
7x - 6y = 5 Subtract 7x from both sides
-6y = -7x + 5 Divide both sides by -6
y =
x -
Since both equations equal y, you can set them equal to each other and solve for x.
9x - 5 =<span>
x -
Multiply both sides by 6 to eliminate the fractions
54x - 30 = 7x - 5 Subtract 7x from both sides
47x - 30 = -5 Add 30 to both sides
47x = 25 Divide both sides by 47
x = </span>
Now, plug that x-value into the x of either equation. I'll plug it into 9x - y = 5.
9x - y = 5 Plug in the x-value
9(<span>
) - y = 5 Multiply
</span>
- y = 5 Subtract <span>
from both sides
</span>-y = <span>0.21276595744 (I had to convert it to a decimal) Divide both sides by -1
y = -</span><span>0.21276595744
So, the answer to the system is (</span>0.53191489361, -<span>0.21276595744)</span>
Answer:
X=8
Step-by-step explanation:
Cross multiply:
4 * 6 = x * 3
Simplifying
4 * 6 = x * 3
Multiply 4 * 6
24 = x * 3
Reorder the terms for easier multiplication:
24 = 3x
Solving
24 = 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
24 + -3x = 3x + -3x
Combine like terms: 3x + -3x = 0
24 + -3x = 0
Add '-24' to each side of the equation.
24 + -24 + -3x = 0 + -24
Combine like terms: 24 + -24 = 0
0 + -3x = 0 + -24
-3x = 0 + -24
Combine like terms: 0 + -24 = -24
-3x = -24
Divide each side by '-3'.
x = 8
Simplifying
x = 8
Answer:
1.0217
Step-by-step explanation:
so u can just didvide 5.1085 and u should get 1.0217 andi fi am wronbg i would check just ikn case
