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2 years ago

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Which expression is equivalent to (8 a minus 3 b + 7) minus (2 a + b minus 4)? 6 a minus 2 b + 11 6 a minus 4 b + 3 6 a minus 2

b + 3 6 a minus 4 b + 11

2 answers:

bekas [8.4K]2 years ago

6 0

This is how it turns out:

saul85 [17]2 years ago

6 0

The answer is 6a - 4b+ 11

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A door delivery florist wishes to estimate the proportion of people in his city that will purchase his flowers. Suppose the true

zloy xaker [14]

Answer:

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

$\mu_{\hat p}=p$

The standard deviation of this sampling distribution of sample proportion is:

$\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}$

As the sample size is large, i.e. <em>n</em> = 492 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by the normal distribution.

The mean and standard deviation of the sampling distribution of sample proportion are:

$\mu_{\hat p}=p=0.07\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.07(1-0.07)}{492}}=0.012$

Compute the probability that the sample proportion will differ from the population proportion by greater than 0.03 as follows:

$P(|\hat p-p|>0.03)=P(|\frac{\hat p-p}{\sigma_{\hat p}}|>\frac{0.03}{0.012})$

$=P(|Z|>2.61)\\\\=1-P(|Z|\leq 2.61)\\\\=1-P(-2.61\leq Z\leq 2.61)\\\\=1-[P(Z\leq 2.61)-P(Z\leq -2.61)]\\\\=1-0.9955+0.0045\\\\=0.0090$

Thus, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is 0.009.

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3 years ago

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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<u><em>hope it helps you..</em></u>

<u><em>have a great day!!</em></u>

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2 years ago

Read 2 more answers

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Inga [223]

Answer:

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Step-by-step explanation:

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2 years ago

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Find all numbers such that three times the number is greater than eight less than the number.

klio [65]

Answer:

ALL SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

Step-by-step explanation:

Here, assume such number = m

Now, given :

3 times the number = 3 x ( m) = 3 m

8 less than the given number = m - 8

Now, according to the question:

3 times the number > 8 less than the given number

or, 3 m > m - 8

or, 3m - m > m - 8 + m

or, 2 m > - 8

or, m > - 4

Hence, all SUCH NUMBERS WHICH ARE GREATER THAN -4 satisfy the given condition.

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3 years ago