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tatuchka [14]
2 years ago
12

Determine whether the function f(x) = 8(0.61)^x shows exponential growth or decay

Mathematics
1 answer:
grandymaker [24]2 years ago
7 0
I think the answer is decay
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The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand
alexira [117]

Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

            t = <em>1.076</em>

Step-by-step explanation:

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

Given Mean of the Population (μ) = 8.0

<em>Mean of the sample (x⁻) = 8.25</em>

Given data

                  8,9,9,8,8,9,8,7

Given sample size  n= 8

Given sample standard deviation(S) = 0.661

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

<em>Null hypothesis : H:  (μ) = 8.0</em>

<em>Alternative Hypothesis :H:(μ) > 8.0</em>

<em>Degrees of freedom = n-1 = 8-1=7</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

<em>                    t₍₇,₀.₀₅₎   = 2.3646</em>

<em>The calculated value   t =  1.076 < 2.3646 at 0.05 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

3 0
3 years ago
Help please god help
oksian1 [2.3K]
yikes i remember doing this but.... i completely forgot ;–; i really wish i could help
4 0
2 years ago
BD is the angle bisector of ZABC.
mojhsa [17]

Answer:

B:25°

Step-by-step explanation:

Now \angle ABC gets bisected by BD.

\angle ABD=25^{\circ}

Since, the angle is bisected, this means that the angle is split into two equal parts or the angle is halved.

We know that one of the angles is 25^{\circ} so the other angle has to be 25^{\circ} also.

Hence, the m\angle DBC=25^{\circ}.

6 0
2 years ago
A store normally sells a floor lamp for $83.99. The store is having a sale that reduces the lamp's price by 15%. How much does t
-Dominant- [34]
The answer should be $71.39
4 0
2 years ago
Which of the following point is a solution to:x-4=-5​
HACTEHA [7]

Answer:

-1

Step-by-step explanation:

If you add 4 to both sides you get

x-4+4=-5+4

the -4and+4 cancel out so you get

x=-1

4 0
2 years ago
Read 2 more answers
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