Answers:
Vertical asymptote: x = 0
Horizontal asymptote: None
Slant asymptote: (1/3)x - 4
<u>Explanation:</u>
d(x) = 
= 
Discontinuities: (terms that cancel out from numerator and denominator):
Nothing cancels so there are NO discontinuities.
Vertical asymptote (denominator cannot equal zero):
3x ≠ 0
<u>÷3</u> <u>÷3 </u>
x ≠ 0
So asymptote is to be drawn at x = 0
Horizontal asymptote (evaluate degree of numerator and denominator):
degree of numerator (2) > degree of denominator (1)
so there is NO horizontal asymptote but slant (oblique) must be calculated.
Slant (Oblique) Asymptote (divide numerator by denominator):
- <u>(1/3)x - 4 </u>
- 3x) x² - 12x + 20
- <u>x² </u>
- -12x
- <u>-12x </u>
- 20 (stop! because there is no "x")
So, slant asymptote is to be drawn at (1/3)x - 4
Answer:
Step-by-step explanation:
let x = the amount of money in the second piggy back
We assume that the second piggy bank has MORE than the piggy bank with $7.31 in it:
x - 7.31 ≤ 10
<u>Solution</u>
Add 7.31 to both sides: x - 7.31 + 7.31 ≤ 10 + 7.31
⇒ x ≤ 17.31
Answer:
Step-by-step explanation:
Answer: 7/4
Answer:
a. P=0.01222
b. P=0.98778
c. The probability of rejecting the claim is now P=0.00298.
Step-by-step explanation:
In this case, we evaluate the sampling distribution for a population proportion π=0.8 with a sample size of 25.
We need to calculate the probability of getting a sample mean below 15, which means p=15/25=0.6.
The standard deviation of the sampling distribution is:
The z value por p=0.6 is
The probability of having a sample mean less than 15 is
The probaiblity of not rejecting the claim is 1-0.01222=0.98778
If the value 15 is replaced by 14, we have a new value of p=14/25=0.56.
There will be less chances of rejecting the hypothesis.
The answer to this is x= -4
