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tiny-mole [99]
3 years ago
6

100 POINTS PLS SOLVE !! :: k-4 /9 =3 8+b /-4 = -5

Mathematics
1 answer:
MaRussiya [10]3 years ago
4 0

Answer:

<h2>k = 31/9 </h2><h2>b = 12</h2>

Step-by-step explanation:

<u>k - 4 </u>= 3

   9

k/9  = 3(9) + 4

k = 31/9

----------------------------

<u>8 + b </u> = -5

  -4

8 + b = -5 (-4)

8 +  b = 20

b = 20 - 8

b = 12

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The simple random sample of size n=36 is obtained from a population with

\mu = 74

and

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Therefore the sampling distribution has a mean of

\mu = 74

The standard error of the means becomes the standard deviation of the sampling distribution.

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Part b) We want to find

P(\bar X \:>\:75.9)

We need to convert to z-score.

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Part c)

We want to find

P(\bar X \: < \:71.95)

We convert to z-score and use the normal distribution table to find the corresponding area.

P(\bar X \: < \:71.95)  = P(z \: < \: \frac{71.9 5- 74}{1} )  \\  = P(z \: < \: \frac{71.9 5- 74}{1} ) \\  = P(z \: < \:  - 2.05) \\  = 0.0202

Part d)

We want to find :

P(73\:

We convert to z-scores and again use the standard normal distribution table.

P( \frac{73 - 74}{1} \:< \: z

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