Graph the following and identify the graph as a circle, ellipse, parabola, or hyperbola. You may add more points to the chart if
you wish. PLEASE HELP IM BEGGING
1 answer:
Answer:
If XY = -1 then Y = -1 / X
Substitute the given values of X into the above formula and solve for Y:
X = 1 ⇒ Y = -1
X = -1 ⇒ Y = 1
X = 1/2 ⇒ Y = -2
X = -1/2 ⇒ Y = 2
X = 1/3 ⇒ Y = -3
X = -1/3 ⇒ Y = 3
Additional points:
X = 2 ⇒ Y = -1/2
X = -2 ⇒ Y = 1/2
If X = 0 then Y = 1/0 which means the function is undefined, therefore the curve will get close to Y = 0 (y-axis) but will not touch it.
If Y = 0 then 0 = -1/X which is impossible, therefore the curve will get close to X = 0 (x-axis) but will not touch it.
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Answer:
Option D
Step-by-step explanation:
Given expression has been given as,
Option D will be the answer.
Answer:
95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].
Step-by-step explanation:
We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.
Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;
P.Q. = ~ N(0,1)
where, = sample mean time = 5.15 years
= sample standard deviation = 1.68 years
n = sample of college graduates = 4400
= population mean time
<em>Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.</em>
<u>So, 95% confidence interval for the population mean, </u><u> is ;</u>
P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%
level of significance are -1.96 & 1.96}
P(-1.96 < < 1.96) = 0.95
P( <
<
) = 0.95
P( <
<
) = 0.95
<u>95% confidence interval for</u> = [
,
]
= [ ,
]
= [5.10 , 5.20]
Therefore, 95% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].