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8090 [49]
3 years ago
6

a fair number cube labeld 1,2,3,4,5,6 is rolled a hundred times. about how many times could you expect to roll a three?

Mathematics
1 answer:
Vsevolod [243]3 years ago
3 0
So probability is (desired outcomes)/(total possitlble outcomes)
desired is 1 since 3 appaears once on the cube
6 total possible

so probaity of rolling a3 is 1/6

100 times
100 times 1/6=100/6=16 and 2/3 times
round up
17 times
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Inscribe a circle in a unit square and to r= 1000 random.
Oduvanchick [21]

Step-by-step explanation:

area of square = 1

area of a circle in square = \pi r^2 = \pi *(1/2)^2 = \frac{\pi }{4}

bu estimate  p^ = X/n = 760/1000 = 0.76Therefore, 
[tex]\frac{\pi }{4} \approx 0.76

\pi \approx 0.76*4 =3.04

b) if n tend to infinity

\pi will approach 3.14

6 0
3 years ago
Find the value of x and y​
notsponge [240]

Answer:

z

Step-by-step explanation:

z

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3 years ago
My brother wants to estimate the proportion of Canadians who own their house.What sample size should be obtained if he wants the
AVprozaik [17]

Answer:

a) n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07

And rounded up we have that n=1476

b) n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681

And rounded up we have that n=1681

Step-by-step explanation:

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".

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}} (a)  

If solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2} (b)  

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.9=0.1 and \alpha/2 =0.05. And the critical value would be given by:  

z_{\alpha/2}=\pm 1.64  

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.675(1-0.675)}{(\frac{0.02}{1.64})^2}=1475.07

And rounded up we have that n=1476

Part b

For this case since we don't have a prior estimate we can use \hat p =0.5

n=\frac{0.5(1-0.5)}{(\frac{0.02}{1.64})^2}=1681

And rounded up we have that n=1681

8 0
3 years ago
Question in attachment
kiruha [24]

Answer:

1. a= 7, A = 49 degrees

Side A = 7 , Side B = 24, Side C = 25

A= 49 degrees, C = 90 degrees , B=41

2. A= 4, B = 6.9, C=8

A= 22 degrees, B = 68, C= 90

3. A= 7, B = 14.4, C=16

A= 45 , B=45  , C=90

6 0
3 years ago
A circle is divided into three arcs of measures x 2x and 3x what’s the value of x
lidiya [134]

Answer:

60°

Step-by-step explanation:

This questions tests our knowledge on arcs and arc measures.

-Arc measure is the angle that an arc makes with the circle's center.

-The arc measure is proportional to the arc.

#The sum of the 3 arcs is x+2x+3x=6x

Given a circle has 360°, the arc measurement x can be calculated as:

[x+2x+3x]=360\textdegree\\\\6x=360\textdegree\\\\x=60\textdegree

Hence, the arc measurement x is 60°

8 0
3 years ago
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