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2 years ago

(6,-1) and y = – 1/3x+ 1 y = 3x + [?]

Mathematics

1 answer:

Tju [1.3M]2 years ago

4 0

Answer:

- 19

Step-by-step explanation:

Let's consider the equation as ;

y = 3x + c

( 6, -1 ) satisfies the equation ;

-1 = 3( 6) + c

c = - 18 - 1

c = -19

So the slope - intercept is (- 19)

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The hard drive on your computer has a capacity of 160 gigabytes (GB). You have used 122 GB. You want to save some home videos to

QveST [7]

Capacity of the hard drive = 160 GB.

Used space = 122 GB.

Free space = 160 - 122 = 38 GB.

So, the size of the home video collection should be less than or equal to 38 GB.

If u is the amount of space used, then, u ≤ 38

If a is the amount of space available, then a = 38 - u.

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3 years ago

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Find the value of x in the triangle.

Hatshy [7]

Answer:

Step-by-step explanation:

The sum of measures of angles in triangle is allways 180°

So:

x + 53° + 60° = 180° {subtract 113° from both sides}

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2 years ago

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

lakkis [162]

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:

Step(i):-

Mean of the Population = 1900

Given random sample size 'n' = 45

Mean of the sample x⁻ = 1000

Standard deviation of the sample = 225

Null Hypothesis:-

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

Alternative Hypothesis :-

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

Step(ii):-

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

Can anyone help me with this problem

lapo4ka [179]

I believe that it is 1. 20 degrees and 2. 80 degrees

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3 years ago

Please help me i need help please

Oksanka [162]

90-70= 20
angle 4= 20
90-50= 40
angle 6= 40
90-15= 75
angle 8= 75

4 0

3 years ago