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3 years ago

Help me please, it's easy kinda

Mathematics

2 answers:

trasher [3.6K]3 years ago

7 0

Karl ate 5/6 of a small bag of popcorn .

nikklg [1K]3 years ago

5 0

He ate 5/6 of a bag of popcorn

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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

Having Problems With This Question

hjlf

Answer:

f+g(2)=10

f-g(4)=-4

F/G(2)= 7/3

(f)(g)(1)=0

Step-by-step explanation:

1. (f+g)=2x+3+x^2-1 2(2)+2=10

2. (f-g)=(2x+3)-(x^2-1)=-x^2+2x+4= -16+8+4=-4

3. f/g= 2x+3/x^2-1 4+3/3= 7/3

4. f*g= (2x+3)(x^2-1)= 2x^3+3x^2-2x-3= 2(1)^3-2(1)+3(1)^2-3=0

8 0

3 years ago

Which of the following is a requirement for a trinomial to be factored as a perfect square? A. The coefficient for the x^2 term

prisoha [69]

For the trinomial to be a perfect square trinomial the coefficient for the x^2 term must. E a perfect square.
Letter C

4 0

3 years ago

Help please!! will give brainiest :))

jeyben [28]

Answer:

81(x + 2y)(x - 2y)

Step-by-step explanation:

$81 {x}^{2} - 324 {y}^{2} \\ \\ = {(9x)}^{2} - {(18y)}^{2} \\ \\ = (9x + 18y)(9x - 18y) \\ \\ = 9(x + 2y) \times 9(x - 2y) \\ \\ = 81(x + 2y)(x - 2y)$

7 0

3 years ago

Read 2 more answers

What’s the answer and the work ?

Phoenix [80]

Answer:

2√14

Step-by-step explanation:

√56

√2^2 x 14

√2^2 √14

2√14

5 0

3 years ago