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Oxana [17]
3 years ago
6

The average cost of living for a family of four in twelve different cities was found to be $65,351 with a standard deviation of

$7,711. What is a 90% confidence interval for the true mean
Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Answer:

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $65,351

Standard deviation r = $7,711

Number of samples n = 12

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$65,351+/-1.645($7,711/√12)

$65,351+/-1.645($2,225.973962860)

$65,351+/-$3661.727168905

$65,351+/-$3,661.73

= ( $61,689.27, $69,012.73)

Therefore, the 90% confidence interval (a,b) = ( $61,689.27, $69,012.73)

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Sever21 [200]

Answer:

46

Step-by-step explanation:

With those problems if you are not given a picture is good we draw one.

Because an angle bisector forms 2 congruent angles and because is given that < XVY ≅ < YVW  then

m < XVY = m < YVW

      2x+7 = x+15 , subtract x and 7 from both sides to isolate the like terms

      2x-x = 15-7, combine like terms

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From the picture and the given we see that

m < XVW = m < XVY + m < YVW

m < XVW = 2x+7 + x+15 , combine like terms

m < XVW = 3x + 22, substitute x for 8

m < XVW = 3*8 + 22

m < XVW = 46

Check our work:

m < XVY =  2x+7  = 2*8 +7 = 16 +7 = 23

m < YVW =  x+15 = 8 +15 = 23

m < XVW = m < XVY + m < YVW = 23+23 =46

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2 years ago
This is some bull help
slamgirl [31]

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y=2(-4)+2=-6

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Two plot the values of x and y you need to put it in (x,y) then plot it. Then you can check it by using the equation, y=mx+b, the b is the y intercept, so check to see if it starts there, and then check and see if it followings the slope

(-4, -6), (-2, -2), (0, 2), (1, 4), (3, 8)

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! As well as a great rest of Black History Month! :-)  

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2 years ago
Xavier, Yolanda and Sara shared some money. Yolanda received 40% more money than Xavier, and Zara received 60% of Yolanda's shar
leonid [27]

Answer:

Step-by-step explanation:

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Let x represent Xavier's share

Let y represent Yolanda's share

Let z represent Zara's share.

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Use the z-score:
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Use either a z-score table or a calculator for this purpose.

Using my calculator, I found that this area is 0.532.  That places 112 in the 53rd percentile.

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