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zubka84 [21]
3 years ago
9

I need help with this ​

Mathematics
1 answer:
Sophie [7]3 years ago
8 0
X+ 8, y-11!!!!!!!!!!!
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A random sample of 84 students at a university showed an average age of 22 years and a sample standard deviation of 3 years. Fin
Debora [2.8K]

Answer:

The margin of error for the 94% confidence interval is 0.6154.

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for population mean is:

CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

The margin of error of this interval is:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

The critical value of <em>z</em> for 94% confidence level is, <em>z</em> = 1.88.

Compute the margin of error for the 94% confidence interval as follows:

MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}

          =1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154

Thus, the margin of error for the 94% confidence interval is 0.6154.

7 0
3 years ago
40 points | Sierra and Alek each have five cousins. Their ages are listed below.
faust18 [17]

Find the mean for both:

Sierra: 2 + 11 + 12 + 13 + 15 =  53

53/5 =10.6

Median is the middle value = 12

Alek: 9 + 11 + 11 + 12 + 13 = 56

56/5 = 11.2

Median = 11

A: The medians do not equal the mean.

B: Sierra's are more spread out, ( no identical ages and a greater range ).

C: Sierra's mean is less than Alek.

D. Sierra has an outlier (2).

The answer would be B

8 0
3 years ago
Angle 1 and angle 2 form a linear pair.if m angle =5x+9 and m angle 2=3x+11,find the measures of both angels.
lbvjy [14]

Answer: ∠1 = 109°    ∠2 = 71°

<u>Step-by-step explanation:</u>

If the two angles form a linear pair, then their sum is 180°

  ∠1      +     ∠2     = 180°

(5x + 9) + (3x + 11) = 180

              8x + 20  = 180

              8x          = 160

                x          = 20

∠1 = 5x + 9

    = 5(20) + 9

    = 100   + 9

    = 109

∠2 = 3x + 11

     = 3(20) + 11

     =    60  + 11

     =         71

  <u> CHECK:</u>

∠1   + ∠2 = 180°

109° + 71° = 180°

     180°   = 180°  \checkmark

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%3D%20%20%5Cfrac%7B144%7D%7B25%7D%20" id="TexFormula1" title=" {x}^{
ss7ja [257]

Answer:

x²=144/25

x=±12/5

Step-by-step explanation:

Hope it helps u

4 0
3 years ago
You and a friend missed the bus so you must wall home from school together. At the park, you part ways.
OLga [1]

Answer:

1.5 miles or kilograms

Step-by-step explanation:

consider marking me brainlist

8 0
2 years ago
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