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Feliz [49]
3 years ago
14

Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5

Mathematics
2 answers:
Hatshy [7]3 years ago
8 0
A cubic function is a function with the highest degree of 3. So the answer is V
Andrews [41]3 years ago
8 0

Answer:

Option C is a cubic function

Step-by-step explanation:

Given the options we have to choose the cubic function

Cubic function is the function with degree 3 i.e the highest power of variable is 3.

Option a: f(x)=3x+1

The above polynomial has highest power 1 i.e of degree 1

∴ not a cubic function

Option b: f(x)=3x^2+x+2

The above polynomial has highest power 2 i.e of degree 2

∴ not a cubic function

Option c: f(x)=5x^3+2x+1

The above polynomial has highest power 3 i.e of degree 3

∴ above is a cubic function

Option d: f(x)=x^3+x^4+5

The above polynomial has highest power 4 i.e of degree 4

∴ not a cubic function

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3 years ago
A major metropolitan newspaper selected a simple random sample of 1,600 readers from their list of 100,000 subscribers.
Tpy6a [65]

Answer: (0.36845,\ 0.43155)

Step-by-step explanation:

Let p be the population proportion of  readers who would like more coverage of local news.

As per given , we have

sample size :=1600

sample proportion : \hat{p}=40\%=0.40

The confidence interval for population proportion is given by :-

\hat{p}\pm z^* \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

From z-table ,

For 99% confidence interval the z-value is 2.576.

Substitute all the values in the above formula , we get

The 99% confidence interval for the proportion of readers who would like more coverage of local news as

0.40\pm(2.576) \sqrt{\dfrac{0.40(1-0.40)}{1600}}

0.40\pm(2.576) \sqrt{\dfrac{0.24}{1600}}

0.40\pm(2.576) \sqrt{0.00015}

0.40\pm(2.576) (0.0122474487139)

0.40\pm0.03155

(0.40-0.03155,\ 0.40+0.03155)=(0.36845,\ 0.43155)

Hence, the 99% confidence interval for the proportion of readers who would like more coverage of local news is (0.36845,\ 0.43155) .

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