The value of x from the given equation is 5/3
<h3>How to determine the value</h3>
Since the three points are collinear to U, they are on a straight line which equals 0
Then we have,
UM + UD = MD
5x+30 + 10x+20 = 3x+80
Collect like terms
5x + 10x + 50 = 3x + 80
15x - 3x = 80 - 50
12x = 30
x = 30/12 = 15/6 = 5/3
Thus, the value of x from the given equation is 5/3
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Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.
(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be
Hence, a) (176.76,172.24), b) 0.976.
9514 1404 393
Answer:
y -2 = 2(x -2)
Step-by-step explanation:
The slope of the line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -2)/(3 -2) = 2/1 = 2
The point-slope form of the equation for the line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For the first point and the slope we found, the equation is ...
y -2 = 2(x -2)
__
You can rearrange this to any form you may like.
y -2 = 2x -4 . . . eliminate parentheses
y = 2x -2 . . . . . slope-intercept form
2x -y = 2 . . . . . standard form
Answer:
72 pies
Step-by-step explanation:
24 pies + 48 pies = 72 pies
Events A and B are dependent (option B).
<h3>What are dependent events?</h3>
Dependent events are events that can occur together. If event A occurs then event B would occur. In a standard deck of cards, cards that are hearts are red in colour. If a heart card is picked, then it would be red in colour.
Independents events are events whose occurrence do not depend on each other. They are random events.
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