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telo118 [61]
3 years ago
8

Write an exponential function in the form y=ab^x that goes through the point (0,17) and (6,1088)

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

Answer:

y = 17(2)^x

Step-by-step explanation:

If the graph of y = ab^x goes through (0, 17), then

                        17 = ab*0, or a = 17

Then the function is y = ab^x with a = 17, or

                                  y = 17*b^x and we must find b.

If the graph of y = 17*b^x also goes through (6, 1088), then the following must be true:   1088 = 17*b^6

which reduces to 64 = b^6

Taking the sixth root of both sides, we get 64^(1/6) = b, and so b = 2

Then the desired exponential function is

y = 17(2)^x

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Step-by-step explanation:

  The number of celebrities is  n = 348

   

So to solve this we would assume that p is the percentage of people that died on the month preceding their birth month  

     

  Generally if there is no death postponement then p will be mathematically evaluated as

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  Alternative \ Hypothesis  H_1 : p < 0.083

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We are told that the significance level is  \alpha  = 0.05, the the z value of \alpha is

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Since this test is carried out on the left side of the area under the normal curve then the critical value will be

                 z_{\alpha } = - 1.65

So what this implies is that  H_o will be rejected if

                z \le -1.65

Here z is the test statistics

Now z is mathematically evaluated as follows

                  z = \frac{c - np}{\sqrt{np_o(1- p_o)} }

                z = \frac{16 - (348 *0.083)}{\sqrt{348*0.083 (1- 0.083)} }

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From our calculation we see that the value of z is less than -1.65 so the Null hypothesis will be rejected

   Hence this tell us that the  evidence provided is not enough to conclude  that 16 celebrities died a month to their birth month

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