What sample size is needed to give a margin of error within in estimating a population mean with 95% confidence, assuming a previous sample had .

Answers

Answer 1

Answer:

Answer:

$n = ((1.96√(\pi(1-\pi)))/(M))^2$

The sample size needed is n(if a decimal number, round up to the next integer), considering the estimate of the proportion $\pi$ (if no previous estimate use 0.5) and M is the desired margin of error.

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.

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

In which

z is the z-score that has a p-value of $1 - (\alpha)/(2)$ .

The margin of error is of:

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

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a p-value of $1 - (0.05)/(2) = 0.975$ , so $Z = 1.96$ .

Needed sample size:

The needed sample size is n. We have that:

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

$M = 1.96\sqrt{(\pi(1-\pi))/(n)}$

$√(n)M = 1.96√(\pi(1-\pi))$

$√(n) = (1.96√(\pi(1-\pi)))/(M)$

$(√(n))^2 = ((1.96√(\pi(1-\pi)))/(M))^2$

$n = ((1.96√(\pi(1-\pi)))/(M))^2$

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The bar diagram represents the ratio of points scored by the home team and the visiting team in a basket ball game. How many points did the visiting team score if the home team scored 84 points?

Answers

Answer:

60 points.

Step-by-step explanation:

Bar diagram which represents the ratio of the points earned by the home team and visitor's team.

Fro the bar diagram,

Ratio of the points earned = $\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}$

= $(7)/(5)$

If the points earned by the home team = 84

$\frac{\text{Points earned by the home team}}{\text{Points earned by visitor's team}}$ = $(7)/(5)$

$\frac{84}{\text{Points earned by visitor's team}}$ = $(7)/(5)$

Points earned by the visitor's team = $(84* 5)/(7)$

= 60

Therefore, 60 points were earned by the visitor's team.

IfGeometry SOHCAHTOA

Answers

In geometry, sohcahtoa is an easy way to remember what sine, cos and tan stand for

Soh is sine, which is equal to opposite over hpotenuse

Cah is cos which is equal to adjacent over hypotenuse

Toa is tan which is equal to opposite over adjacent

Y+z+ 2; use y=-6, and z = 5

Answers

When y = -6 and z = 5, the value of the expression y + z + 2 is 1.

To calculate the expression y + z + 2 when y = -6 and z = 5, you simply substitute these values into the expression and perform the arithmetic operations:

y + z + 2 = (-6) + (5) + 2

Now, perform the addition:

(-6) + (5) + 2 = -1 + 2 = 1

So, when y = -6 and z = 5, the value of the expression y + z + 2 is 1.

for such more question on expression

brainly.com/question/4344214

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Answer:

Step-by-step explanation:

y + z + 2

first you have to replace the variables with the numbers

This is your equation now.

-6 + 5 + 2

Now you just have to solve it.

-6 + 5 = -1+ 2 = 1

7 - 6 = 1

Multiply (4x-3w)(5x-7w)

Answers

Answer:

20x² - 43xw + 21w²

Step-by-step explanation:

We use FOIL to expand the expression:

F - First

4x(5x) = 20x²

O - Outside

4x(-7w) = -28xw

I - Inside

-3w(5x) = -15xw

L - Last

-3w(-7w) = 21w²

20x² - 28xw - 15xw + 21w²

Combine like terms and add up using correct signs and you should get your answer.

Answer:

$20 {x}^(2) - 43xw + 21 {w}^(2)$

solution,

$(4x - 3w)(5x - 7w) \n = 4x(5x - 7w) - 3w(5x - 7w) \n = 20 {x}^(2) - 28xw - 15xw + 21 {w}^(2) \n = 20 {x}^(2) - 43xw + 21 {w}^(2)$

Hopethishelps...

Goodluck on your assignment..

When factoring x2 – 3xy + 2y2 by grouping the first step can be:Question 7 options:

x2 – 4xy + xy + 2y2

x2 – 2xy – xy + 2y2

x2 – 3xy + xy + 2y2

x2 + 2xy - 5xy + 2y2

Answers

Answer:

x^2 – 3xy + 2y^2

Step-by-step explanation:

Factor the following:

x^2 - 3 x y + 2 y^2

Hint: | Factor the quadratic x^2 - 3 x y + 2 y^2.

The factors of 2 that sum to -3 are -1 and -2. So, x^2 - 3 x y + 2 y^2 = (x - 1 y) (x - 2 y):

Answer: (x - y) (x - 2 y)

add using the number line. −3+11 Drag and drop the word Sum to the correct value on the number line.

Answers

Answer:

the number line is attached below

Step-by-step explanation:

add using the number line. −3+11

Use the number line to add the numbers

Start at -3 on number line. then to add 11, move 11 units to the right

From -3, move 11 units the right. we reach at 8 on the number line

So -3+11 is 8

The number line is attached below

Answer:

-3 + 11 = 8

Step-by-step explanation:

Just plot 8 on the number line.

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WNuApply6. Nadia is comparing costs for two brands of garden compost. ForBrand A, the cost y for x bags is shown in the table For Brand B,the cost y can be represented by the equation y = 1,99%, wherex represents the number of bags, Which brand costs less for6 bags of compost? How much less?

MZTRI = 3x - 5, mZIRB = x + 27,and mZTRB = 86. Find the mZTRI.

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observe as seguintes situações e sua representação em linguagem matematica dois numeros x e y são tais 2x y=6 x-y=3