What is 1/3 of 20,000
2 answers:
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Answer:
a) P(t>2.120) = 0.025
b) P(t<1.337) = 0.90
c) P(t<-1.746) = 0.05
d) P(t>2.583) = 0.01
e) P(-2.120<t<2.120) = 0.95
f) P(-1.746<t<1.746) = 0.90
Step-by-step explanation:
The question is incomplete:
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.120. (Use 3 decimals.)
b. To the left of 1.337. (Use 2 decimals.)
c. To the left of -1.746. (Use 2 decimals.)
d. To the right of 2.583. (Use 2 decimals.)
e. Between -2.120 and 2.120. (Use 2 decimals.)
f. Between -1.746 and 1.746. (Use 2 decimals.)
We have a t-distribution with 16 degrees of freedom.
We can calculate the probabilities with a spreadsheet, a table or an applet.
We have to calculate the probabilities of:
a) P(t>2.120) = 0.025
b) P(t<1.337) = 0.90
c) P(t<-1.746) = 0.05
d) P(t>2.583) = 0.01
e) P(-2.120<t<2.120) = 0.95
f) P(-1.746<t<1.746) = 0.90
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
(1)
Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides
2y = - 3x + 1 ( divide all terms by 2 )
y = - x +
← in slope- intercept form
with slope m = -
Parallel lines have equal slopes, thus
y = - x + c ← is the partial equation
To find c substitute (- 6, 15) into the partial equation
15 = 9 + c ⇒ c = 15 - 9 = 6
y = - x + 6 ← equation of line
(2)
Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides
2y = - x + 8 ( divide all terms by 2 )
y = - x + 4 ← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, - 2) into the partial equation
- 2 = 10 + c ⇒ c = - 2 - 10 = - 12
y = 2x - 12 ← equation of line