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4 years ago

Which function is graphed below

Mathematics

2 answers:

Svetlanka [38]4 years ago

6 0

I think the answer is a. f(x)= cos(x).

maxonik [38]4 years ago

6 0

Answer: Option 1 is correct.

Explanation:

This graph shows that it cuts x-axis at $\frac{\pi} {2}$ =0 and at $\frac{3\pi} {2}$ =0 which is satisfying the property of cosx

Extrema of the graph at x=0, $\frac{\pi} {2}$ , $2\pi$

Properties of the given graph:

maxima at x=0 and $2\pi$

minima at x= $\pi}$

x-intercept at x = $\frac{\pi} {2}$ , $\frac{3\pi} {2}$

period = $2\pi$

Range [-1,1]

Domain is all real numbers.

These all properties follows by cos x function.

So, the given graph would be of cos x

Thus, Option 1 is correct.

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In a triangle, what is always opposite the angle that has the LEAST measure?

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Answer:

In any triangle: The shortest side is always opposite the smallest interior angle. The longest side is always opposite the largest interior angle.

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3 years ago

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Add the polynomials (7x3−2x2−12)+(−3x3−8x2+10x)

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Answer:

See below

Step-by-step explanation:

● (7x^3 - 2x^2 -12) + (-3x^3 - 8x^2 +10x)

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4 years ago

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40 . 8- 10 exponent 2

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Answer:

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Step-by-step explanation:

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3 years ago

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Suppose a random sample of 100 observations from a binomial population gives a value of pˆ = .63 and you wish to test the null h

irakobra [83]

Answer:

We conclude that the population proportion is equal to 0.70.

Step-by-step explanation:

We are given that a random sample of 100 observations from a binomial population gives a value of pˆ = 0.63 and you wish to test the null hypothesis that the population parameter p is equal to 0.70 against the alternative hypothesis that p is less than 0.70.

Let p = population proportion.

(1) The intuition tells us that the population parameter p may be less than 0.70 as the sample proportion comes out to be less than 0.70 and also the sample is large enough.

(2) So, Null Hypothesis, $H_0$ : p = 0.70 {means that the population proportion is equal to 0.70}

Alternate Hypothesis, $H_A$ : p < 0.70 {means that the population proportion is less than 0.70}

The test statistics that would be used here One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion = 0.63

n = sample of observations = 100

So, the test statistics = $\frac{0.63-0.70}{\sqrt{\frac{0.70(1-0.70)}{100} } }$

= -1.528

The value of z-test statistics is -1.528.

Now at 0.05 level of significance, the z table gives a critical value of -1.645 for the left-tailed test.

Since our test statistics is more than the critical value of z as -1.528 > -1.645, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the population proportion is equal to 0.70.

(c) The observed level of significance in part B is 0.05 on the basis of which we find our critical value of z.

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3 years ago

20 subtracted from three times a number is 6 more than the number

kompoz [17]

<h3>20 subtracted from three times a number is 6 more than the number. Then the number is 13</h3>

Solution:

Given statement is:

20 subtracted from three times a number is 6 more than the number

We can translate the sentence into algebraic expression

Let "a" be the unknown number

Then,

20 subtracted from three times "a" is 6 more than "a"

Which means,

3a - 20 = 6 + a

3a - a = 6 + 20

2a = 26

Divide both sides by 2

a = 13

Thus the number is 13

3 0

4 years ago