Answer:
a) 0.172
b) 0.167
c) 0.1404
Step-by-step explanation:
Margin of error, E =
here,
p = probability of the event
n = sample size
a) n = 30
p = 10 ÷ 30 = 0.333
Therefore,
E =
= 2 × 0.0861
= 0.172
b) n = 30
p = 21 ÷ 30 = 0.7
Therefore,
E =
= 2 × 0.0836
= 0.167
c) n = 30
p = 22 ÷ 50 = 0.44
Therefore,
E =
= 2 × 0.0702
= 0.1404
The equation of a line that is passing through the points (0, 4) and (1, 6) will be y = 2x + 4.
<h3>What is the linear system?</h3>A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A coordinate plane. The x-axis and y-axis are each scaled by one.
A graph of a line goes through the points (0, 4) and (1, 6) will be
The equation of a line that is passing through the points (0, 4) and (1, 6) will be
y - 4 = [6 - 4 / 1 - 0] (x - 0)
y - 4 = 2x
y = 2x + 4
The graph is given below.
More about the linear system link is given below.
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Answer:
At the end of the party <u>5.5 gallons or 88 cups</u> of punch will be leftover.
Step-by-step explanation:
Given:
There are 20 guest at a party.
Now, to find the quantity of punch that will be leftover.
Number of guests = 20.
Total gallons of punch = 8.
Now, using conversion factor we change gallons into cups:
1 gallon = 16 cup.
So, 8 gallons = 16 × 8 = 128 cups.
<u><em>Thus, total cups of punch = 128.</em></u>
Total number of cups each guest will drink = 2.
Now, to get total number of cups the 20 guests will drink by multiplying:
<u><em>Total number of cups the 20 guests will drink = 40.</em></u>
So, to get the leftover punch we subtract the total number of cups the 20 guests will drink from total cups of punch:
So, 88 cups =
Therefore, at the end of the party 5.5 gallons or 88 cups of punch will be leftover.