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2 years ago

11

I need help on the last one

1 answer:

BaLLatris [955]2 years ago

4 0

Answer:

C as C^unt

Step-by-step explanation:

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Is this relation a function?

kobusy [5.1K]

Answer:

yes though i am not completely sure

Step-by-step explanation:

5 0

3 years ago

To estimate a population mean, the sample size needed to provide a margin of error of 3 or less with a 95% confidence when the p

Over [174]

Answer:

The minimum sample needed to provide a margin of error of 3 or less is 52.

Step-by-step explanation:

The confidence interval for population mean (<em>μ</em>) is:

$\bar x\pm z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

The margin of error is:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}$

<u>Given:</u>

MOE = 3

<em>σ </em>= 11

The critical value for 95% confidence interval is: $z_{\alpha /2}=1.96$

**Use the <em>z</em>-table for critical values.

Compute the sample size (<em>n</em>) as follows:

$MOE= z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\\3=1.96\times \frac{11}{\sqrt{n}}\\n=(\frac{1.96\times11}{3} )^{2}\\=51.65\\\approx52$

Thus, the minimum sample needed to provide a margin of error of 3 or less is 52.

7 0

2 years ago

The perimeter p of a rectangle is given by the formula p=2L+2w, where L is the length of the rectangle and w is the width. Which

Ilya [14]

D) p/2 - l

because, p= 2(l+w)
P/2=l+w
w=p/2-L

7 0

2 years ago

Marcos sees a cake advertised as $15 or 2 for $25. What is the difference of the unit rate?

Mekhanik [1.2K]

Answer:

A. 2.50

Step-by-step explanation:

25 ÷ 2 = 12.5

15 - 12.5 = 2.50

6 0

3 years ago

The indefinite integral can be found in more than one way. First use the substitution method to find the indefinite integral. Th

Fantom [35]

Answer:

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C$

Step-by-step explanation:

To find:

∫ $6x^5(x^6-2)\,dx$

Solution:

Method of substitution:

Let $x^6-2=t$

Differentiate both sides with respect to $t$

$6x^5\,dx=dt$

[use $(x^n)'=nx^{n-1}$ ]

So,

∫ $6x^5(x^6-2)\,dx$ = ∫ $t\,dt$ = $\frac{t^2}{2}+C_1$ where $C_1$ is a variable.

(Use ∫ $t^n\,dt=\frac{t^{n+1} }{n+1}$ )

Put $t=x^6-2$

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1$

Use $(a-b)^2=a^2+b^2-2ab$

So,

∫ $6x^5(x^6-2)\,dx$ = $\frac{1}{2}(x^6-2)^2+C_1=\frac{1}{2}(x^{12}+4-4x^6)+C_1=\frac{x^{12} }{2}-2x^6+2+C_1=\frac{x^{12} }{2}-2x^6+C$

where $C=2+C_1$

Without using substitution:

∫ $6x^5(x^6-2)\,dx$ = ∫ $6x^{11}-12x^5\,dx$ = $\frac{6x^{12} }{12}-\frac{12x^6}{6}+C=\frac{x^{12} }{2}-2x^6+C$

So, same answer is obtained in both the cases.

7 0

2 years ago