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KiRa [710]
3 years ago
6

Find the solution of the system of equations shown on the graph.

Mathematics
1 answer:
Digiron [165]3 years ago
8 0
The answer for this question is Y=3x+1
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Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail inste
Volgvan

Answer:

a) The calculated value   t =  5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

b) p - value  0.00001

The p - value 0.00001  < 0.01

The result is significant at p<0.01

Step-by-step explanation:

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

Given mean of the population = 10

Sample size 'n'= 35

Mean of the sample x⁻ = 14.44

Standard deviation of the sample 's' = 4.45

Level of significance ∝ = 0.01

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

<em>Null Hypothesis H₀</em> : μ >10

<em>Alternative Hypothesis</em> : H₁ : μ < 10

Test statistic

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

                t = \frac{14.44-10}{\frac{4.45}{\sqrt{35} } }

               t =  5.903

Degrees of freedom = n-1 = 35-1 = 34

tabulated value t₀.₀₁,₃₄  = 2.572

The calculated value   t =  5.903 > 2.572 at 0.01 level of significance

Null hypothesis is rejected at 0.01 level of significance

There is a true mean value is less than 10

<u><em>p- value</em></u> :

p - value  0.00001

The p - value 0.00001  < 0.01

The result is significant at p<0.01

8 0
2 years ago
Tia states that the graph of g(x) = (x – 2)3 + 7 is a translation of 2 units to the left and 7 units up from f(x) = x3. Is Tia’s
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Answer:

No.

Step-by-step explanation:

Compare g(x) = (x – 2)^3 + 7 to f(x) = (x - h)^3 + k.  Here, h denotes horizontal translation and k denotes vertical translation.  Translation to the left by 2 units would be (x + 2)^3 + 7.  Translation to the right by 2 units would be (x - 2)^3 + 7.  So, no, Tia's description of horiz. translation is incorrect.

However, her adding 7 does denote a positive vertical translation.


4 0
3 years ago
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What is the probability of choosing a king from a deck of cards? Type your answer as a fraction.
Vikki [24]

Answer:

4/52 or 1/13

Step-by-step explanation:

there are only 4 kings; diamond, Heart, Spades and Clubs.

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The formula for volume is length multiplied by width multiplied by height
I hope this helps sorry if it doesn't :)
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The equation to find out the volume in this case is V=x*x*2x, or V=2x^3. Use this we can get that the volumes would be 16, 54, 128, and 250.
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