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4 years ago

0.05 = 10 x ___ Steps of problem please

Mathematics

1 answer:

Katen [24]4 years ago

5 0

0.05 = 10 x 50. beacuse if you take 10 and times it by 50 it will get you 500

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Two sisters, sister A and sister B, play SCRABBLE with each other every evening. Sister A is a statistician, and she draws a ran

snow_tiger [21]

Answer:

First question: LCL = 522, UCL = 1000.5

Second question: A sample size no smaller than 418 is needed.

Step-by-step explanation:

First question:

Lower bound:

0.36 of 1450. So

0.36*1450 = 522

Upper bound:

0.69 of 1450. So

0.69*1450 = 1000.5

LCL = 522, UCL = 1000.5

Second question:

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:

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

The project manager believes that p will turn out to be approximately 0.11.

This means that $\pi = 0.11$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The project manager wants to estimate the proportion to within 0.03

This means that the sample size needed is given by n, and n is found when M = 0.03. So

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

$0.03 = 1.96\sqrt{\frac{0.11*0.89}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.11*0.89}$

$\sqrt{n} = \frac{1.96\sqrt{0.11*0.89}}{0.03}$

$(\sqrt{n})^2 = (\frac{1.96\sqrt{0.11*0.89}}{0.03})^2$

$n = 417.9$

Rounding up

A sample size no smaller than 418 is needed.

6 0

3 years ago

Evaluate the following expression. Round your answer to two decimal places.

RideAnS [48]

Answer: 2.18

Step-by-step explanation:

log(11)/log(3)=2.18

3 0

3 years ago

Is the point (4,-3) a solution for this system?

Oduvanchick [21]

Yes it is.

Step by step explanation:

3 0

3 years ago

Name this line in 3 ways

faltersainse [42]

Straight

Never ending (You can tell this as there are arrows on the ends)

On a diagonal with a negative slope

7 0

4 years ago

For f(x)=2x+1 and g(x)=x^2-7, find (f.g)(x)

hram777 [196]

Option C (in the figure) is correct.

Step-by-step explanation:

We need to find (f.g)(x)

Given that $f(x)=2x+1\\g(x)= x^2-7$

Now finding (f.g)(x)

$(f.g)(x)= f(x).g(x)$

$(f.g)(x)= (2x+1)(x^2-7)\\(f.g)(x)=2x(x^2-7)+1(x^2-7)\\(f.g)(x)=2x^3-14x+x^2-7\\(f.g)(x)=2x^3+x^2-14x-7$

So, $(f.g)(x)=2x^3+x^2-14x-7$

Option C (in the figure) is correct.

Learn more about Composite Functions at:

brainly.com/question/10772025

brainly.com/question/10541435

Keywords: Composite function

#learnwithBrainly

8 0

3 years ago