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GarryVolchara [31]
3 years ago
6

Graph y=-6(3)^x please do the table and the graph 20 POINTS!

Mathematics
1 answer:
Margarita [4]3 years ago
4 0

Answer:

<em>Explanation to the answer below... (Answers in the Explanation</em><em>)</em>

Step-by-step explanation:

We Know that our rule is y = y = -6(3)^{x} , which means we can use this rule to find y from x. Since we don't know what X, is, we have to assume numbers like 1, to 7. And there is no space to write on the graph, I'll put a virtual copy of a graph.

1st Point,

y = -6(3)^{x}\\y =  -6(3)^{1}\\y = -6(3)\\y = -18\\x = 1, y = -18

2nd, point

y = -6(3)^x\\ y = -6(3)^2\\y = -6(9)\\y = -54\\x = 2, y = -54

3rd Point

y = -6(3)^x\\y = -6(3)^3\\y = -6(27)\\y = -162\\x = 3, y = -162

4th Point

y = -6(3)^4\\y = -6(81)\\y = -486\\x = 4, y = -486\\

5th Point

y = -6(3)^5\\y = -6(243)\\y = -1458\\\x = 5, y = -1458

6th Point

y = -6(3)^x\\y = -6(3)^6\\y = -6(729)\\y = -4,374\\x = 6, y = -4,374\\

7th Point (Last Point)

y = -6(3)^x\\y = -6(3)^7\\y = -6(2,187)\\y. = -13,122\\x = 7, y = -13,122

Let's now plot them on the Graph, the values are so big, the graph might look a little odd.

Always remember that we can continue the points infinitely, and there is no stop, The Graph is attached below...

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No, the manager is not correct based on the 95% confidence interval.

Step-by-step explanation:

We are given that the average daily revenue over the past five-week period has been $1,080 with a standard deviation of $260, i.e.; X bar = $1080 and s = $260 and sample size, n = 35 .

The Pivotal quantity for 95% confidence interval is given by;

                \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

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So, 95% confidence interval for average daily revenue, \mu is given by;

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P(-2.032 < \frac{Xbar - \mu}{\frac{s}{\sqrt{n} } } < 2.032) = 0.95

P(-2.032 * {\frac{s}{\sqrt{n} } < {Xbar - \mu} < 2.032 * {\frac{s}{\sqrt{n} } ) = 0.95

P(X bar - 2.032 * {\frac{s}{\sqrt{n} } < \mu < X bar + 2.032 * {\frac{s}{\sqrt{n} } ) = 0.95

95% confidence interval for \mu = [ X bar - 2.032 * {\frac{s}{\sqrt{n} } , X bar + 2.032 * {\frac{s}{\sqrt{n} } ]

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Therefore, the store manager believe is not correct.

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