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pychu [463]
3 years ago
7

5. Which function would have the point (0,0) on its graph?

Mathematics
1 answer:
stepladder [879]3 years ago
4 0

Answer:

B. <em>Output = Input x 5</em>

Step-by-step explanation:

Given:

Point (0,0)

To find which of the functions given will have the point (0,0) on its graph.

Solution:

In order to check whether a point (x,y) lies on the graph of the function, we plugin the x as the input in the function and y as the output of the function and see if it satisfies the equation.

Plugging in point (0,0) in the functions given:

A. <em>Output = Input + 3</em>

Plugging in Output=0 and Input=0

0=0+3

0=3

The above statement can never be true and hence, the function graph  does not have the point (0,0).

B. <em>Output = Input x 5</em>

Plugging in Output=0 and Input=0

0=0\times 5

0=0

The above statement is always true and hence, the function graph does  have the point (0,0).

C. <em>Output = Input - 2</em>

Plugging in Output=0 and Input=0

0=0-2

0=-2

The above statement can never be true and hence, the function graph  does not have the point (0,0).

D. <em>Output = Input + 3</em>

Plugging in Output=0 and Input=0

0=0+3

0=3

The above statement can never be true and hence, the function graph  does not have the point (0,0).

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Complete Question

ymposium is part of a larger work referred to as Plato's Dialogues. Wishart and Leach† found that about 21.4% of five-syllable sequences in Symposium are of the type in which four are short and one is long. Suppose an antiquities store in Athens has a very old manuscript that the owner claims is part of Plato's Dialogues. A random sample of 498 five-syllable sequences from this manuscript showed that 129 were of the type four short and one long. Do the data indicate that the population proportion of this type of five-syllable sequence is higher than that found in Plato's Symposium? Use = 0.01.  

a. What is the value of the sample test statistic? (Round your answer to two decimal places.)  

b. Find the P-value of the test statistic. (Round your answer to four decimal places.)

Answer:

a) Z=2.45

b) P Value=0.0073

Step-by-step explanation:

From the question we are told that:

Probability of Wishart and Leach P=21.4=>0.214

Population Size N=498

Sample size n=12

Therefore

P'=\frac{129}{498}

P'=0.2590

Generally the Null and Alternative Hypothesis is mathematically given by

H_0:P=0.214

H_a:=P>0.214

Test Statistics

Z=\frac{P'-P}{\sqrt{\frac{P(1-P)}{n}}}

Z=\frac{0.2590-0.214}{\sqrt{\frac{0.214(1-0.214)}{498}}}

Z=2.45

Therefore P Value is given as

P Value =P(Z\geq 2.45)

P Value =1-P(Z\leq 2.45)

P Value =1-0.99268525

P Value=0.0073

7 0
2 years ago
456 divided by n=4.56
Arlecino [84]
To find this out, just divide 456, by the answer of 4.56
So once you divide that, you get 100.
So, n=100
CHECK:
456 divided by 100=4.56
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Hope this helped :)
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Answer:

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