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guapka [62]
3 years ago
14

If n(A)=80,and n(B)=65,what is the least value of n(AuB)=? please help me friends

Mathematics
1 answer:
asambeis [7]3 years ago
5 0

Answer:

Step-by-step explanation:

n(AUB)=n(A)+n(B)-n(A∩B)

greatest intersection of (A∩B)=65

n(A∪B)=80+65-65=80

so least value of n(A∪B)=80

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Step-by-step explanation:

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Alekssandra [29.7K]

Answer:

1.  The y values are decreasing by 16  7 and 4 then rising by 7 and 16 so the line of symmetry is at -4 or 4

2. f = g(x) function just like g = f(x) function so say f value table or g(x) function

3.  y = g(x) = -4  when x = 0

4.  y - 0 = - 4x   means the same as y = -4x

5.  [0 , -4] is the vertex

6.  6(5) = 30

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7 the y values are increasing by 3/4 , 11/5, 1,  7/1 and  8.5 / 1

which means thy are increasing minimum by 1/1.5 and could be a square function.

8. This is a g function or  a f(x).

9. y intercept is 1

10  common ratio is  0:1

11 equation for the table is  y = x -1

12.  5.400

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13.

The values for y are decreasing by 2 then drop by 12 from -2/14 to 0/-2 then increase again at a rate of 20 and decrease slightly to 18 being  -2/-20

we can see this as -2/16 ,-2/14 , 0/-2  2/ -22 meaning the line of symmetry is not clear as we cannot see an average without working out the mean or adding all the totals up.

14.  p(x) function or q value.

15.  the y intercept is -2

16. the equation for this table is y = x-2

17.

The value for p(4) is same method divide smaller into larger then times x 4

-20/-2 = 10  

then -11 x 10 = -110

18. slope = -2

17) if they were asking for value for 4(p) is  16/ -2 = 8 and  -2 / 4  = 0.5/ 8 this shows 8 so 4 is half this value = 0.24 / 4  meaning x = 0.24

Step-by-step explanation:

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An SRS of 350 high school seniors gained an average of x¯=21 points in their second attempt at the SAT Mathematics exam. Assume
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Answer:

a) 21-2.58\frac{52}{\sqrt{350}}=13.83  

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So on this case the 99% confidence interval would be given by (13.83;28.17)  

b) ME=2.58\frac{52}{\sqrt{350}}=7.17

c) ME=2.58\frac{52}{\sqrt{100}}=13.42

d) D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

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".  

Part a

\bar X=21 represent the sample mean  

\mu population mean (variable of interest)  

\sigma=52 represent the population standard deviation  

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99% confidence interval  

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that z_{\alpha/2}=2.58  

Now we have everything in order to replace into formula (1):  

21-2.58\frac{52}{\sqrt{350}}=13.83  

21+2.58\frac{52}{\sqrt{350}}=28.17  

So on this case the 99% confidence interval would be given by (13.83;28.17)  

Part b

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{350}}=7.17

Part c

The margin of error is given by:

ME=2.58\frac{52}{\sqrt{100}}=13.42

Part d

As we can see when we reduce the sample size we increase the margin of error so the best option for this case is:

D. Decreasing the sample size increases the margin of error, provided the confidence level and population standard deviation remain the same.

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Ivenika [448]
Y = 2x³,    when x = -3

<span>y = 2*(-3)³
</span>
<span>y = 2*-27
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3 years ago
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