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Marianna [84]
3 years ago
9

Y= 3x+13 y=x-3 How do you solve this equation?

Mathematics
2 answers:
ra1l [238]3 years ago
6 0

Answer:

x=-5 & y=-2

Step-by-step explanation:

y= 3x+13

y= x-3

x-3=3x+13

-3=2x+13

-10=2x

x=-5

then

y=3(-5)+13

y=-15+13

y=-2

Gemiola [76]3 years ago
3 0

Answer:

x=-8, y=-11. (-8, -11).

Step-by-step explanation:

y=3x+13

y=x-3

-----------

3x+13=x-3

3x-x+13=-3

2x+13=-3

2x=-3-13

2x=-16

x=-16/2

x=-8

y=-8-3=-11

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In order to estimate the difference between the average hourly wages of employees of two branches of a department store, the fol
Julli [10]

Answer:

0.071,1.928

Step-by-step explanation:

                                                Downtown Store   North Mall Store

Sample size   n                             25                        20

Sample mean \bar{x}                         $9                        $8

Sample standard deviation  s       $2                        $1

n_1=25\\n_2=20

\bar{x_1}=9\\ \bar{x_2}=8

s_1=2\\s_2=1

x_1-x_2=9-8=1

Standard error of difference of means = \sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}

Standard error of difference of means = \sqrt{\frac{2^2}{25}+\frac{1^2}{20}}

Standard error of difference of means = 0.458

Degree of freedom = \frac{\sqrt{(\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}})^2}{\frac{(\frac{s_1^2}{n_1})^2}{n_1-1}+\frac{(\frac{s_2^2}{n_2})^2}{n_2-1}}

Degree of freedom = \frac{\sqrt{(\frac{2^2}{25}+\frac{1^2}{20}})^2}{\frac{(\frac{2^2}{25})^2}{25-1}+\frac{(\frac{1^2}{20})^2}{20-1}}

Degree of freedom =36

So, z value at 95% confidence interval and 36 degree of freedom = 2.0280

Confidence interval = (x_1-x_2)-z \times SE(x_1-x_2),(x_1-x_2)+z \times SE(x_1-x_2)

Confidence interval = 1-(2.0280)\times 0.458,1+(2.0280)\times 0.458

Confidence interval = 0.071,1.928

Hence Option A is true

Confidence interval is  0.071,1.928

4 0
3 years ago
Alonzo and Miguel scored a total of 54 points in a basketball game. Miguel scored 4 more points than Alonzo. How would I graph t
Liono4ka [1.6K]
A + m = 54, m = a + 4  and,  a + m = 54, - a + m = 4,

Combine the equations: 2m = 58

Now solve: 2m = 58, 2m/2 = 58/2, m = 29, therefore a = 24
4 0
3 years ago
A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon. It was felt that gasoline price i
slava [35]

Answer:

<em>alternative hypothesis : H₁ :</em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

<em>Alternative Hypothesis : H₁: μ < $1.298 a gallon</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given A recent gasoline survey said that the national average price of gasoline was $1.298 a gallon

<em>Population average μ= $1.298 a gallon</em>

<em>sample size 'n' = 37</em>

<em>Sample mean (x⁻) = $1.192 a gallon </em>

<em>Sample standard deviation 'S' = $0.0436</em>

<em>Null hypothesis :H₀ : μ =  $1.298 a gallon</em>

<em>Alternative Hypothesis : μ < $1.298 a gallon</em>

<em>Degrees of freedom : ν = n-1= 37-1=36</em>

<em>t₀.₀₂₅ = 1.688</em>

<em>Test statistic </em>

<em>                        </em>t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }<em></em>

<em>                        </em>t = \frac{1.192-1.298 }{\frac{0.0436}{\sqrt{37} } }<em></em>

<em>                      t =  -14.8044</em>

<em>|t| = |-14.8044| > 1.688</em>

<em>Null hypothesis is rejected </em>

<em>Alternative hypothesis is accepted </em>

<em>Recent  Gasoline surveys felt that gasoline price in Texas was significantly lower than the national average</em>

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3 years ago
Josie buys o purse that costs $64.95. If the sales tax is 5.5%, what is the cost of the tax.​
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Answer:

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Step-by-step explanation:

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3 years ago
What is the value of 19.4 Nine is underlined​
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Answer:

19

Step-by-step explanation:

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4 0
2 years ago
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