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2 years ago

If f (x)=x^2, then f (4) = 4^2= 16

Mathematics

1 answer:

inn [45]2 years ago

4 0

Answer: t^2

Step-by-step explanation:

if f(x)=x^2

then f(t)=t^2

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A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained i

Scorpion4ik [409]

Answer:

a) We need a sample size of at least 3109.

b) We need a sample size of at least 4145.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

(a) he uses a previous estimate of 25%?

we need a sample of size at least n.

n is found when $M = 0.02, \pi = 0.25$ . So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.25*0.75}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.25*0.75}$

$\sqrt{n} = \frac{2.575\sqrt{0.25*0.75}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.25*0.75}}{0.02})^{2}$

$n = 3108.1$

We need a sample size of at least 3109.

(b) he does not use any prior estimates?

When we do not use any prior estimate, we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 2.575\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 2.575\sqrt{0.5*0.5}$

$\sqrt{n} = \frac{2.575\sqrt{0.5*0.5}}{0.02}$

$(\sqrt{n})^{2} = (\frac{2.575\sqrt{0.5*0.5}}{0.02})^{2}$

$n = 4144.1$

Rounding up

We need a sample size of at least 4145.

8 0

3 years ago

PLS HELP!! will give brainliest

lubasha [3.4K]

Answer:

B. {-2, 0, 1, 3}

Step-by-step explanation:

See attached image.

8 0

1 year ago

Complete the equation of the line through (-6,5) and<br> (-3, -3).<br> Use exact numbers.

Arada [10]

Answer:

Step-by-step explanation:

6 0

3 years ago

a man buys and old bicycles for Rs 1850 and spend Rs 150 to repair it if he sells it at 25% profit find its selling price

AysviL [449]

Answer:

Rs 2,500

Step-by-step explanation:

He has spent Rs1850 + Rs150 = Rs2000

if Rs2000 = 100%

X = 125%

By cross multiplication, we get;

100x = 2000 * 125

x = 250000/100

x = Rs 2,500

5 0

2 years ago

Find the derivative of F(x)=-x^4+4x^3+ 70 for 0<=x<=3

timofeeve [1]

Answer:

-4x^3 +12x^2 for 0 < x < 3

Step-by-step explanation:

The power rule is appropriate:

(d/dx)x^n = n·x^(n-1)

This is applied to each of the terms.

F'(x) = -(4·x^3) +4(3x^2) +0

F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3

The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].

8 0

2 years ago