<h3>
Answer: Choice C) 40 </h3>
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Work Shown:
Plug in x = 0
This indicates that (0,1) is on the curve. This is the y intercept.
Do the same for x = 2
So we know that (2,81) is another point on this curve.
We need to find the slope of the line through (0,1) and (2,81) to get the slope of the secant line we want.
The slope of the line through (0,1) and (2,81) is m = 40. This value of m is exactly the slope of the secant line your teacher is asking for. This is why the answer is choice C.
Answer:
n= -9
Step-by-step explanation:
Simplifying
-2(n + 3) + -4 = 8
Reorder the terms:
-2(3 + n) + -4 = 8
(3 * -2 + n * -2) + -4 = 8
(-6 + -2n) + -4 = 8
Reorder the terms:
-6 + -4 + -2n = 8
Combine like terms: -6 + -4 = -10
-10 + -2n = 8
Solving
-10 + -2n = 8
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + -2n = 8 + 10
Combine like terms: -10 + 10 = 0
0 + -2n = 8 + 10
-2n = 8 + 10
Combine like terms: 8 + 10 = 18
-2n = 18
Divide each side by '-2'.
n = -9
Simplifying
n = -9
Answer:
Step-by-step explanation:
Multiply through by the L. C. M which is PS.
1/p*ps+1/s*ps=1*ps
P+p=ps
2p=ps
Divide both sides by 2
2p/2=ps/2
P=ps/2
Answer:
B) 25
Step-by-step explanation:
First, you add up all the numbers. Then, you divide it by 9 which is the total amount of numbers there are.
Answer:
(0.767,0.833)
Step-by-step explanation:
The 95% confidence interval for population proportion p can be computed as
The z-value associated with 95% confidence level is 1.96.
whereas p=x/n
We are given that x=440 and n=550.
p=440/550=0.8
Thus, the required confidence interval is
0.767<P<0.833 (rounded to 3 decimal places)
Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)
