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3 years ago

13

How do you solve, 2=2y-x and 23=5y- 4x , using the substitution method

1 answer:

kicyunya [14]3 years ago

5 0

2= 2y - x
23 = 5y - 4x

isolate the x in the first equation

x = 2y - 2

now use this to substitute x in the second equation

23 = 5y - 4 (2y - 2)
23 = 5y - 8y + 6
23 = -3y + 6
-3y = 17
y = -5 2/3 (5.6 repeating )

now use that to find x in either equation.

2 = 2 (-5.66666) - x
2= -11.3 repeating - x
13.3 repeating = -x
x = -13.3 repeating

optional ** use the second equation to check

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anygoal [31]

Answer:

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3 years ago

A researchers wants to determine the mean weight of avocados grown in Southern California. The population from which the sample

natka813 [3]

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Step-by-step explanation:

Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-

$\overline{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}$

, where $\overline{x}$ = sample mean.

s= sample standard deviation.

n= Sample size.

$t_{\alpha/2}$ = critical value

By considering the given information , we have

$\overline{x}=6$

s=0.75

n= 9

Significance level = $\alpha=0.1$ [1-0.90=0.1]

By using students' t distribution -table , the critical value for 95% confidence level :

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[Note: degree of freedom = n-1]

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$6\pm (1.86) \dfrac{0.75}{\sqrt{9}}$

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Hence, the required confidence interval =(0.465, 5.535)

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