A tiger eats 55 pounds of meat a day if he eats 1,754 how many days is that

Consider a population consisting of values 2, 3, 5, 7. what is the population standard deviation?

denis23 [38]

Answer:

The population standard deviation is 1.92.

Step-by-step explanation:

Population mean:

Sum of all values divided by the number of values. Thus:

$M = \frac{2 + 3 + 5 + 7}{4} = 4.25$

Population standard deviation:

Square root of the division between the sum of the difference squared of each value and the mean, and the number of values. Thus.

$S = \sqrt{\frac{(2-4.25)^2 + (3-4.25)^2 + (5-4.25)^2 + (7-4.25)^2}{4}} = 1.92$

The population standard deviation is 1.92.

6 0

2 years ago

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

2 years ago

Line AB, segment DF, and segment CE are drawn. Segments DF and CE intersect at point Z. Which statement about the diagram is tru

Tju [1.3M]

Step-by-step explanation:

A chord is a segment with endpoints on the circle.

A tangent line is a line that touches a circle at only one point.

A diameter is a chord that passes through the center of the circle.

A secant line is a line that touches a circle at two points.

Therefore, AB is a secant line.

8 0

2 years ago

May i get help please?

Gekata [30.6K]

Answer:

(2,0)

Step-by-step explanation:

Reflection basically flipped upside down. If this image is reflected across x=-2, the D' (said as 'D prime') coordinate would be equal to 2,0.

Prime coordinates are the coordinates of the image after it has been translated.

6 0

2 years ago

HELP PLEASE!<br><br> 15 POINTS

Goshia [24]

Answer:

Its 58

Step-by-step explanation:

2+2+2+2+2+4+4+4+6+10+10=58 but the closest number to it is 56

8 0

2 years ago

Read 2 more answers