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4 years ago

Determine whether the function is periodic. If it is, find the period.

Mathematics

2 answers:

Vadim26 [7]4 years ago

6 0

A. periodic; about 6

Archy [21]4 years ago

6 0

Answer:

A. Periodic; About 6

Step-by-step explanation:

We know that,

A periodic function is a function which repeats its values in regular intervals.

From the graph, we see that,

The function starting from the point x= -3.5 repeats itself from the point x= 2.5

Thus, the function is a periodic function.

We know,

Period is the non-zero real number after which the function repeats itself.

So, the period of the given function = 2.5 - (-3.5) = 2.5 + 3.5 = 6

Thus, period of the given function is 6.

Hence, option A is correct.

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3 years ago

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Theoretically, if the spinner is spun 150 times, how many times would you expect to get an even number?

Inessa05 [86]

Answer:

Step-by-step explanation:

If there is 6 even numbers and 6 odd numbers, then the spinner would land on an even number half the time. Half of 150 is 75 so the answer is 75.

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3 years ago

Please help, it's urgent!

Aneli [31]

For this case we have to, by defining properties of powers and roots the following is fulfilled:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We must rewrite the following expression:

$\sqrt [3] {8 ^ {\frac {1} {4} x}}$

Applying the property listed we have:

$\sqrt [3] {8 ^ {\frac {1} {4} x}} = 8 ^ {\frac{\frac {1} {4} x} {3} }= 8 ^ {\frac {1} {4 * 3} x} = 8 ^ {\frac {1} {12} x}$

Using the property again we have to:

$8 ^ {\frac {1} {12} x} = \sqrt [12] {8 ^ x}$

Thus, the correct option is option C

Answer:

Option C

6 0

4 years ago

Read 2 more answers

Suppose that you play the game with three different friends separately with the following results: Friend A chose scissors 100 t

Yanka [14]

Answer:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

Step-by-step explanation:

Data given and notation

n represent the random sample taken

X represent the number of scissors selected for each friend

$\hat p=\frac{X}{n}$ estimated proportion of scissors selected for each friend

$p_o=\frac{1}{3}=0.333$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion that the friend will pick scissors is less than 1/3 or 0.333, the system of hypothesis would be:

Null hypothesis: $p\geq 0.333$

Alternative hypothesis: $p < 0.333$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

Friend A

$\hat p_A= \frac{100}{400}=0.25$

$z=\frac{0.25 -0.333}{\sqrt{\frac{0.333(1-0.333)}{400}}}\approx -3.47$

Friend B

$\hat p_B= \frac{20}{120}=0.167$

$z=\frac{0.167 -0.333}{\sqrt{\frac{0.333(1-0.333)}{120}}}\approx -3.80$

Friend C

$\hat p_C= \frac{65}{300}=0.217$

$z=\frac{0.217-0.333}{\sqrt{\frac{0.333(1-0.333)}{300}}}\approx -4.17$

So then the best solution for this case would be:

-3.47 (100 out of 400; 25%), -3.80 (20 out of 120; 16.7%), -4.17 (65 out of 300; 21.7%)

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4 years ago

In a survey, it was reported 820 people will attend the concert. But, 1000 people attended the concert. What is the percent erro

Sergeu [11.5K]

18%.

820 - 1000 = -180 (Ignore minus sign)

180/1000 = 0.18

18 × 100 = 18

Add a percentage sign =18%

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4 years ago