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Andrews [41]
3 years ago
7

Consider the function p(c)=2^c+1 . What is p(3)?

Mathematics
1 answer:
I am Lyosha [343]3 years ago
5 0

Answer:

The answer to your question is:

Step-by-step explanation:

Data     I'm not sure if number 1 is a power of not, so I'll answer both cases.

1.- Number 1 is not a power

            p(c) = 2^c + 1

            p(3) = 2³ + 1

            p (3) = 8 + 1

            p(3) = 9

2.- Number 1 is a power

            p(c) = 2^c + 1

            p(3) = 2^3 + 1

            p(3) = 2^4

            p(3) = 16

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Anna007 [38]

Answer:

31

Step-by-step explanation:

The Range is the difference between the lowest and highest values (3, 34)

7 0
2 years ago
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Using the rule of 72, how long will it take for the principal to double with an annual compound interest rate of 6%?
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Answer:

C. 12

Step-by-step explanation:

With the rule of 72, you would divide 72 by the periodic interest rate to get the number of years for the principal to double

72 ÷ 6 = 12

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3 years ago
For each of these word problems, determine if the answer can be found using the division problem 125 ÷ 12.
olasank [31]

Answer:

125/12

Step-by-step explanation:

1st problem-no

2nd problem-yes

3rd problem-yes

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3 years ago
At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening
pav-90 [236]

Answer:

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

p_v =2*P(z>4)=0.0000633  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation  

\bar X=23 represent the sample mean

\sigma=3.5 represent the population standard deviation

n=49 sample size  

\mu_o =21 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the average age of the evening students is significantly different from 21, the system of hypothesis would be:  

Null hypothesis:\mu = 21  

Alternative hypothesis:\mu \neq 21  

The statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

P-value

Since is a two sided test the p value would be:  

p_v =2*P(z>4)=0.0000633  

Conclusion  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

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3 years ago
When the sides of the cube are scaled by a factor of k = 5, the volume increases
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