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Alex Ar [27]
2 years ago
10

which of the following polynomials has a graph with odd symmetry? a. 7x^4+13x^3-11 b. 5x^7+4x^6+3x^5+x c.13x^5 -1/2x^3+7x+3 d. 8

x^5+7x^3-5x
Mathematics
2 answers:
agasfer [191]2 years ago
6 0

Answer: 45x3x345!3

Step-by-step explanation:

you multiply all numbers then you divide by all the numbers there and there’s your answer

Zina [86]2 years ago
5 0

Answer:

D) f(x)=8x^5+7x^3-5x

Step-by-step explanation:

A function is odd if its graph is symmetric to the origin, which we can check this if f(-x)=-f(x) is true:

<u>Option A</u>

f(x)=7x^4+13x^3-11\\\\f(-x)=7(-x)^4+13(-x)^3-11\\\\f(-x)=7x^4-13x^3-11

Since f(-x)\neq-f(x), then the function does not have odd symmetry

<u>Option B</u>

<u />f(x)=5x^7+4x^6+3x^5+x\\\\f(-x)=5(-x)^7+4(-x)^6+3(-x)^5+x\\\\f(-x)=-5x^7+4x^6-3x^5+x

Since f(-x)\neq-f(x), then the function does not have odd symmetry

<u>Option C</u>

<u />f(x)=13x^5-\frac{1}{2}x^3+7x+3\\\\f(-x)=13(-x)^5-\frac{1}{2}(-x)^4+7(-x)+3\\ \\f(-x)=-13x^5-\frac{1}{2}x^4-7x+3

Since f(-x)\neq-f(x), then the function does not have odd symmetry

<u>Option D</u>

<u />f(x)=8x^5+7x^3-5x\\\\f(-x)=8(-x)^5+7(-x)^3-5(-x)\\\\f(-x)=-8x^5-7x^3+5x

Since f(-x)=-f(x), then the function DOES have odd symmetry. You can also see that the function is odd because every term has an odd exponent.

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A sample has a sample proportion of 0.3. which sample size will produce the
jasenka [17]

The sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.

<h3>What are population and sample?</h3>

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

A sample has a sample proportion of 0.3.

Level of confidence = 95%

At the same confidence level, the larger the sample size, the narrower the confidence interval.

As we have a 95% confidence interval the sample size should be lower.

The sample size from the option = 36 (lower value)

Thus, the sample size of 36 will produce the widest 95% confidence interval when estimating the population parameter option (b) is correct.

Learn more about the population and sample here:

brainly.com/question/9295991

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7 0
1 year ago
Evaluate the algebraic expression for the given variable <br> -x- -3,x=-5
Dvinal [7]
Here u go, u replace x by the number

6 0
3 years ago
I can’t figure out what the half circle means the answer options are 163,129,149 and 186
vodka [1.7K]

Answer: 129

Step-by-step explanation: First find the area of the circle. Since we know the area of a circle is πr²  (pi multiplied by the radius squared) we can find the area of the half circle. The radius is 5 (because radius is half of the diameter)

Area=3.14(5)²

       =3.14(25)

       =78.5

But since this is just a half circle, divide this by 2

That will get 39.25

Then add this to the area of the rectangle (L*W) which is 90

That will get about 129

4 0
3 years ago
McAllister et al. (2012) compared varsity football and hockey players with varsity athletes from noncontact sports to determine
jonny [76]

Answer:

t _{critical} = 1.760

t = 2.2450

d. 0.264

Step-by-step explanation:

The null hypothesis is:

H_o: \mu_1 - \mu_2 = 0

Alternative hypothesis;

H_a : \mu_1 - \mu_2 > 0\\

The pooled variance t-Test would have been determined if the population variance are the same.

S_p^2 = \dfrac{(n_1-1)S_1^2+(n_2-1)S^2_2}{(n_1-1)+(n_2-1)}

S_p^2 = \dfrac{(8-1)2.507^2+(8-1)2.8282^2}{(8-1)+(8-1)}

S_p^2 = 7.14

The t-test statistics can be computed as:

t= \dfrac{(x_1-x_2)-(\mu_1 - \mu_2)}{\sqrt{Sp^2 ( \dfrac{1}{n} +\dfrac{1}{n_2})}}

t= \dfrac{(9-6)-0}{\sqrt{7.14 ( \dfrac{1}{8} +\dfrac{1}{8})}}

t= \dfrac{3}{1.336}

t = 2.2450

Degree of freedom df = (n_1 -1) + ( n_2 +1 )

df = (8-1)+(8-1)

df = 7 + 7

df = 14

At df = 14 and ∝ = 0.05;

t _{critical} = 1.760

Decision Rule: To reject the null hypothesis if the t-test is greater than the critical value.

Conclusion: We reject H_o and there is sufficient evidence to conclude that the test scores for contact address s less than Noncontact athletes.

To calculate r²

The percentage of the variance is;

r^2 = \dfrac{t^2}{t^2 + df}

r^2 = \dfrac{2.2450^2}{2.2450^2 + 14}

r^2 = \dfrac{5.040025}{5.040025+ 14}

r^2 = 0.2647

7 0
3 years ago
Miss Kirkland Works 40 hours on Mondays in 8 hours on Tuesdays in the school library during one week in May she worked 1/4 of he
Rashid [163]

Answer:

She worked 12 hours for the week

Step-by-step explanation:

Given that :

Hours worked :

Mondays = 40 hours

Tuesdays = 8 hours

If 1/4 of regular hours was worked in a certain week, the number of hours worked that week can be calculated thus ;

1/4 (Monday hours + Tuesday hours)

1/4(40 + 8)

(1/4 * 40) + (1/4 * 8)

10 + 2

= 12 hours

8 0
2 years ago
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