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Illusion [34]
3 years ago
12

Use the substitution method to solve the system of equations: 2x – 5y = –14 x – 2y = –5

Mathematics
2 answers:
Nutka1998 [239]3 years ago
8 0
Solve for 1 variable
solve for x in second

add 2y to both sides
x=2y-5
sub 2y-5 for x in first equation
2(2y-5)-5y=-14
4y-10-5y=-14
-10-y=-14
add 10 to both sides
-y=-4
times -1
y=4

sub
x=2y-5
x=2(4)-5
x=8-5
x=3

x=3
y=4
(3,4)
Nezavi [6.7K]3 years ago
3 0

After using the substitution method to solve the system of equations, I’ve acquired the values of x and y which is 3 and 4 respectively or (3, 4). I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.

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Executives from Six Flags, a well-known amusement park chain, had interest in constructing a Six Flags theme park in a location
natima [27]

Answer:

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to 0.248.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

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This means that p = \frac{124}{500} = 0.248

The mean of the sampling distribution for the sample proportion when taking samples of size 500 from this population is equal to

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Step-by-step explanation:

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