PLEASE HELP ME Simplify the expression 2/ square root of 7.

Mathematics

1 answer:

tester [92]3 years ago

5 0

Answer:

Decimal Form: 5.29150262

Step-by-step explanation:

Brainliest?

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den301095 [7]

The sum of the measures of angles in all quadrangles is 360 °. Therefore:

$(25x+1)+(25x-2)+(20x-1)+82=360\\\\70x+80=360\ \ \ |-80\\\\70x=280\ \ \ |:70\\\\x=4$

$m\angle D=(20x-1)^o\to m\angle D=(20\cdot4-1)^o=79^o\\\\Answer:\ B.\ 79^o$

8 0

3 years ago

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) n : 20 50 100 500

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

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable X 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, μ = $16,642 and standard deviation is, σ = $2,400.

Assuming that the random variable X 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 n = 20

$P(\mu-200$

$=P(-0.37$

For a sample size of n = 50

$P(\mu-200$

$=P(-0.59$

For a sample size of n = 100

$P(\mu-200$

$=P(-0.83$

For a sample size of n = 500

$P(\mu-200$

$=P(-1.86$

n : 20 50 100 500

P (-200 < X - μ < 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 ( $\mu_{x}$ ).