Answer:
Finding slope: y2-y1/x2-x1
3-9/1+2
=-6/2
Divide 2 from both
=-3/1 or -3
Slope= -3
Finding y-intercept= y=mx+b
Choose any point on the line to plug in the x and the y then plug in the slope.
I choose (1,3)
3=-3×1+b
3=-3+b
Add 3 to both sides
6=b
Y-intercept=6
Equation: y=-3x+6
Step-by-step explanation:
Answer:
Step-by-step explanation:
The number of samples is large(greater than or equal to 30). According to the central limit theorem, as the sample size increases, the distribution tends towards normal. The formula is
z = (x - µ)/(σ/√n)
Where
x = sample mean
µ = population mean
σ = population standard deviation
n = number of samples
From the information given,
µ = 22199
σ = 5300
n = 30
the probability that a senior owes a mean of more than $20,200 is expressed as
P(x > 20200)
Where x is a random variable representing the average credit card debt for college seniors.
For n = 30,
z = (20200 - 22199)/(5300/√30) =
- 2.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.0197
P(x > 20200) = 0.0197
Answer:
Step-by-step explanation:
Answer:
Part A)
Part B)
Step-by-step explanation:
We know that the rectangle has a length of (x+5) and a width of 12 cm.
Part A)
Remember the formula for the perimeter of a rectangle:
We know that the perimeter is 86. Substitute that for P:
Substitute (x+5) for the length l and 17 for w. So:
We can simplify this to acquire our equation:
Part B)
To find the length, let's find our x first. We have the equation:
Divide both sides by 2:
Now, subtract 22 from both sides. Therefore, our x is:
To find the length, remember that the length is:
Since we now know the value of x, substitute 21 for x:
Add:
So, the length is 26 centimeters.
And we're done!
Answer:
MgCl₂
Step-by-step explanation:
