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vodka [1.7K]
3 years ago
5

Write the equation of a line through (3,1), parallel to y = x + 1

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0

Answer:

The answer is C ( y= 2/3x - 1 )

Step-by-step explanation:

Equation Formula : y - y1 = m ( x - x1)

y - 1 = 2/3 ( x - 3 )

y - 1 = 2/3x - 2

y = 2/3x - 2 + 1

y = 2/3x - 1

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At the Foremost State Bank the average savings account balance in 2012 was $1900. A random sample of 45 savings account balanes
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Answer:

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Mean of the Population = 1900

Given random sample size 'n' =  45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

<u><em>Null Hypothesis</em></u>:-

There is no difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012.

<u><em>Alternative Hypothesis</em></u> :-

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

<u><em>Step(ii</em></u>):-

Test statistic

        t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

        t = \frac{1000-1900 }{\frac{225}{\sqrt{45} } }

       t = -900 /33.54 = -26.517

      |t| = |-26.517|=26.517

Degrees of freedom

                       γ = n-1 = 45-1 =44

t₍₀.₀₁ , ₄₄₎ = 2.326

The calculated  |t| = |-26.517|=26.517 > 2.326 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is difference between mean savings account balance in 2013 is different from the mean savings account balance in 2012

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2 years ago
Volume of Spheres
Oliga [24]
It’s simple. The volume of a sphere is V=4/3πr^3.. so you will convert the mm to m okay?? 10mm=1cm .. so do your conversion from here then when you get the radius then you will substitute it into the volume where r is the radius.. so for the first one l changed mm to cm so.. radius is 4cm then l substitute it into the formula so l got 270 after rounding it to the nearest tenth.. pi=22/7 bear in mind. So do the same for the other one
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How to rename 120,000
EleoNora [17]
One hundred twenty thousand
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3 years ago
What is the answer to 180x(n-2)
Mice21 [21]
180xn-360x is the answer
5 0
3 years ago
HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !
seropon [69]

\large\underline{\sf{Solution-}}

\textsf{Given expression;}\\

\rm{23 =  \frac{7}{9}(6x - 36) + 9 } \\

\rm{\longmapsto} \: 23 =  \frac{(42x - 256)}{9}  + 9 \\

\rm{\longmapsto} \: 23 =  \frac{(42x - 256 + 81)}{9}  \\

\rm{\longmapsto} \: 23 =  \frac{(42x - 175)}{9}  \\

\rm{\longmapsto} \:  \frac{23}{1}  =  \frac{(42x - 175)}{9}  \\

\textsf{By doing cross multiplication, we get}\\

\rm{\longmapsto}23(9) = 1(42x - 175) \\

\rm{\longmapsto}207 =42x - 175\\

\rm{\longmapsto} \: 42x =  - 175 - 207 \\

\rm{\longmapsto} \: 42x =  - 379 \\

\rm \therefore \: x =  -  \frac{375}{42}  \\

\textsf{Hence, the value of x will be -375/42 respectively.}\\

\textbf{Read more:}

\textsf{Similar Questions}

Solve the expression and find the value of x. [tex] \frac{x⁠…

brainly.com/question/25420312

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