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2 years ago

How many configurations are there if we roll a die (6-face) four times?

1 answer:

4 0

Each time there are 6 possible outcomes.

If you roll four times, the number of possible outcomes would be 6^4, or 1296.

Final answer: 1296 configurations.

You might be interested in

A doctor wants to estimate the mean HDL cholesterol of all 20- to 29-year-old females. The number of subjects needed to estima

Ludmilka [50]

Answer:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

ME represent the margin of error

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

2) Solution to the problem

Since the new Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=1.64$

Assuming that the deviation is known we can express the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =\pm 3 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

Replacing into formula (b) we got:

$n=(\frac{1.64(14.7)}{3})^2 =64.57 \approx 65$

So the answer for this case would be n=65 rounded up to the nearest integer

And the sample size would decrease by 160-65=95 subjects

8 0

2 years ago

Urgent!!!!?

ExtremeBDS [4]

Answer:

C) 6 feet

Step-by-step explanation:

The diagram is shown in the attachment.

Using the Pythagoras Theorem,

$x^2=4^2+4^2$

$x^2=16+16$

$x^2=32$

We take positive square root to obtain

$x=\sqrt{32}$

$x=4\sqrt{2}$

x=5.66ft

Rounding to the nearest feet we have x=6ft

4 0

3 years ago

X = 55, because 60 + 65 = 125 and 180 - 125 = 55

Lina20 [59]

Answer: x= 55 because 60 + 65 =125 and 180 - 125 = 55

Step-by-step explanation:

The sum of three angles in any triangle is 180. Therefore you add the two angles that you have and use that number to subtract it by 180. Then you will have your answer. Also you can get the answer to y by subtracting the value of x from 180.

7 0

2 years ago

What is the area of this figure?

Oksanka [162]

<h3>Answer: 297 square cm</h3>

=============================================

Work Shown:

Break up the figure as shown in the diagram below.

A rectangle and trapezoid form

-------------

Area of rectangle = base*height = 9*15 = 135 cm^2

Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2

total area = (area of rectangle)+(area of trapezoid)

total area = (135) + (162)

total area = 297 square cm

3 0

2 years ago

(please help and explain) <br> will mark brainliest!!

9966 [12]

Answer:

x = 40

Step-by-step explanation:

Angles SRT and STR are congruent, so they have the same measure.

The measure of <SRT is 20, so the measure of <STR is also 20.

Angles STR and STU form a linear pair. Two angles that form a linear pair are supplementary, so their measures add up to 180.

m<STR + m<STU = 180

20 + 4x = 180

4x = 160

x = 40

7 0

2 years ago