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harina [27]
3 years ago
7

Which expression should you simplify to find the 90% confidence interval,

Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0

Answer:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.2870.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

Step-by-step explanation:

The estimated proportion of interest is \hat p=0.45

We need to find a critical value for the confidence interval using the normla standard distributon. For this case we have 95% of confidence, then the significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025.

And the critical value is:z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The confidence interval for the true population proportion is interest is given by this formula:  

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

Replacing the values provided we got:

0.45 - 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.287\\\\0.45 + 1.96\sqrt{\frac{0.45(1-0.45)}{36}}=0.613

And we can conclude at 95% of confidence that the true proportion of interest for this case is between 0.287 and 0.613

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The diagram shows a circle inscribed in a square.
beks73 [17]

Answer:

A

Step-by-step explanation:

first lets find the area of the square

A=l*w

12*12=144 m^2

then lets find the are of the circle

A=pi*r^2

A=3.14*(d/2)^2

the diameter of the circle is 12m

A=3.14*(12/2)^2

A=3.14*(6)^2

A=3.14*36

A=113.04 m^2

Now, lets subtract the area of the circle form the area of the square

144-113.04= 30.96 m^2

So, the answer is A

5 0
3 years ago
25 Points! Show ALL Work! Image Attached.
SVEN [57.7K]

Answer:

a) x = 13

b) x = 7

Step-by-step explanation:

A) Since they have the same base of 2 so

x + 4 + (-5) = 12

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b) Since they have the same base of -3 so

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4 0
3 years ago
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KiRa [710]

Answer:

Mr Doyle washed the most.

4/15 still need to be washed.

Step-by-step explanation:

2/5=6/15  Mr Doyle

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so Mr Doyle washed the most.

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7 0
2 years ago
Rational root therom
VikaD [51]
I need more information to figure out what you need
8 0
3 years ago
Read 2 more answers
Can yall please help?
butalik [34]

Answer:

3000000000

Step-by-step explanation:

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Same with 3*10^-2 so we have

(3*10^7)/(1/100) which is equal to 3*10^7*100 which is equal to 3000000000

Please give me Brainliest if im correct

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2 years ago
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