The number section A, section B and section C seats sold are 26500, 14200 and 12300 respectively.
<h3>How to use equation to find the total number of seat in each section?</h3>
The stadium has 53,000 seats.
Seats sell for $25 in Section A, $20 in Section B, and $15 in Section C.
The number of seats in Section A equals the total number of seats in Sections B and C.
Therefore,
a = b + c
a + b + c = 53000
b + c + b + c = 53000
2b + 2c = 53,000
25a + 20b + 15c = 1131000
25(b + c) + 20b + 15c = 1131000
25b + 25c + 20b + 15c = 1131000
45b + 40c = 1131000
Hence,
2b + 2c = 53000
45b + 40c = 1131000
40b + 40c = 1060000
45b + 40c = 1131000
-5b = - 71000
b = - 71000 / -5
b = 14,200
Therefore,
2(14,200) + 2c = 53000
2c = 53000 - 28400
2c = 24600
c = 24600 / 2
c = 12300
Hence,
a = b + c
a = 14200 + 12300
a = 26500
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Answer:
And rounded up we have that n=99
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We assume the value for
since we don't have previous info. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=99
Answer:
Jana had 8 oranges, and Jordan had 15 oranges.
Step-by-step explanation:
First, identify what you know:
1) In total, Jana and Jordan had 23 oranges.
2) Jana had 7 less oranges than Jordan.
We can create a formula, where x equals the number of oranges Jana has.
23 = x + (x + 7)
16 = x + x (subtracted 7 from both sides)
x = 8 (divided both sides by 2)
So, now we know Jana had 8 oranges, which is 7 less than Jordan.
8 + 7 = ?
? = 15
Jana had 8 oranges, while Jordan had 15, for a total of 23 oranges.