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Anna11 [10]
3 years ago
12

I will a!or u BRAINLIEST pls answer this question!!!

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0
I think it’s B I’m not surr
Veseljchak [2.6K]3 years ago
6 0
It’s c lol hope this helps
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The Wall Street Journal reports that 33% of taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deduction
Len [333]

Answer:

(a) <em>                             </em><em>n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable <em>X</em> represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, <em>μ</em> = $16,642 and standard deviation is, <em>σ</em> = $2,400.

Assuming that the random variable <em>X </em>follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

  • For a sample size of <em>n</em> = 20

P(\mu-200

                                           =P(-0.37

  • For a sample size of <em>n</em> = 50

P(\mu-200

                                           =P(-0.59

  • For a sample size of <em>n</em> = 100

P(\mu-200

                                           =P(-0.83

  • For a sample size of <em>n</em> = 500

P(\mu-200

                                           =P(-1.86

<em>                                  n</em> :      20           50          100         500

P (-200 < <em>X</em> - <em>μ </em>< 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\bar x) approaches the whole population mean (\mu_{x}).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

8 0
3 years ago
IM SOOOO STUCKKKK HELLPPPPPPPPPPP!!
KonstantinChe [14]

Answer:

18

Step-by-step explanation:

x² = 16² + 30² - 2(16)(30)cos 30°

x² = 256 + 900 - 960(0.866)

x² = 1156 - 831.36

x² = 324.64

x = 18.02

Approx. 18

Please mark my answer as brainliest

3 0
3 years ago
Read 2 more answers
Decimals to fractions 3/4=?
GrogVix [38]
.75 is the decimal form of 3/4
7 0
3 years ago
Is -49 a rational number? please explain
aleksklad [387]
Yes, because a rational number is any number that can be expressed as a fraction a/b where a/b are both integers, but cannot be zero.
7 0
2 years ago
Here are descriptions for how two dot patterns are growing,
Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

T_n =2n^2 + 1

When n = 0 to 3, we have:

T_0 =2(0)^2 + 1 =1

Step 0 = 1 dot

T_1 =2(1)^2 + 1 =3

Step 1 = 3 dots

T_2 =2(2)^2 + 1 =9

Step 2 =  9 dots

T_3 =2(3)^2 + 1 =19

Step 3 =  19 dots

Next, we draw the diagrams of both patterns (see attachment)

Read more about patterns at:

brainly.com/question/15590116

6 0
2 years ago
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