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GrogVix [38]
4 years ago
6

Question 2 Explain the difference between the graphs y = x3 and y = 3(x – 4)3 + 7.

Mathematics
1 answer:
Fiesta28 [93]4 years ago
3 0

Answer:

The first graph , y=x³ is a cubic function graph and that of the second graph, y = 3(x – 4)3 + 7 is a linear graph.

Step-by-step explanation:

The graph of y=x³ is a cubic function graph where the x term has the highest power of x as 3. As attached in the first graph.

The second graph for y = 3(x – 4)3 + 7. is a linear graph that can be written as;

y=(3x-12)3 +7

y=9x-36 + 7

y=9x - 29

which is a linear graph with a slope of 9 and cuts the y-axis at -29 as shown in the second attached graph.

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The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is approximately normal wit
lyudmila [28]

Answer:

The probability the average mpg is less than 28 mpg is 0.8413.

Step-by-step explanation:

Given : The manufacturer of a new compact car claims the miles per gallon (mpg) for the gasoline consumption is approximately normal with

Mean \mu=26 mpg and standard deviation \sigma=12 mpg.

Number of sample n=36

To find : What is the probability the average mpg is less than 28 mpg?

Solution :

Applying z-score formula,

z=\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

The portability is given by, P(X

=P(\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

=P(\dfrac{x-\mu}{\frac{\sigma}{\sqrt{n}}}

=P(z

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Using z-table,

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Therefore, the probability the average mpg is less than 28 mpg is 0.8413.

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3 years ago
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