Answer:
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
where 
is the slope and 
is the y-intercept (the value of y when the line intercepts the y-axis)
<u>1) Find the slope of the line (m)</u>
The equation for slope: 
when the given points are 
and 
Plug in the given points (3,1) and (6,3)
Now, plugging this back into , our equation looks like this:
<u />
<u>2) Find the y-intercept of the line</u>
To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):
Subtract both sides by 2 to isolate b
<u>3) Plug m and b into y=mx+b</u>
I hope this helps!
Answer:
The probability of assembling the product between 7 to 9 minutes is 0.50.
Step-by-step explanation:
Let <em>X</em> = assembling time for a product.
Since the random variable is defined for time interval the variable <em>X</em> is continuously distributed.
It is provided that the random variable <em>X</em> is Uniformly distributed with parameters <em>a</em> = 6 minutes and <em>b</em> = 10 minutes.
The probability density function of a continuous Uniform distribution is:
Compute the probability of assembling the product between 7 to 9 minutes as follows:
![=\frac{1}{4}\times [x]^{9}_{7}\\](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5Bx%5D%5E%7B9%7D_%7B7%7D%5C%5C)
Thus, the probability of assembling the product between 7 to 9 minutes is 0.50.
Answer:
-1960
Step-by-step explanation:
The expression on the left expands to ...
(4x -7)² = (4x)² +2(4x)(-7) +(-7)² = 16x² -56x +49
Matching coefficients, you have ...
Then the expression c(b+a) evaluates to ...
49(-56+16) = 49(-40) = -1960
Answer:
x=16
Step-by-step explanation:
1/2 ( x - 4 ) = 1/3 ( x + 2)
distribute both sides
1
/2
(x−4)=
1/
3
(x+2)
(
1
/2
)(x) + (
1/
2
)(−4) =(
1
/3
) (x)+(
1/3
)(2)(Distribute)
1
/2
x+−2=
1
/3
x+
2
/3
1
/2
x+−2=
1
/3
x+
2
/3
Step 2: Subtract 1/3x from both sides.
1/2x -2 -1/3
x
x=
1
/3
x +
2/3 −
1/
3
x
1
/6 x−2=
2/
3
Step 3: Add 2 to both sides.
1
/6
x −2+2=
2/
3 +2
1
/6
x =
8
/3
Step 4: Multiply both sides by 6.
6*(
1/6
x) =6*(
8
/3
)
x=16
Answer:
24
Step-by-step explanation:
-27 - x = -51
+27 +27
-x = -24
x = 24
