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Svetllana [295]
3 years ago
5

Need some math help!!! Factor the polynomial by grouping: 12p^3 − 21 p^2 + 28p − 49

Mathematics
2 answers:
Andru [333]3 years ago
8 0

Answer:

\left(4p-7\right)\left(3p^2+7\right)

Step-by-step explanation:

12p^3-21p^2+28p-49

\left(12p^3-21p^2\right)+\left(28p-49\right)

7\left(4p-7\right)

3p^2\left(4p-7\right)

7\left(4p-7\right)+3p^2\left(4p-7\right)

\left(4p-7\right)\left(3p^2+7\right)

yan [13]3 years ago
8 0
12p³ – 21p² + 28p – 49

3p²(4p–7) + 7(4p–7)

(4p–7)(3p+7)
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Will give brainliest! Need help asap!
scZoUnD [109]

Let's write f(x)=4x-1, g(x)=-3x+5

We see f(.8)=2.2, g(.8)=2.6    close, with g a bit bigger

then f(.9)=2.6, g(.9)=2.3      also close, with f a bit bigger

We see f and g crossed somewhere between .8 and .9 at a value beween 2.2 and 2.6, so I'd guess a meet near (0.85, 2.4).  Closest answer is

Answer: D (.9, 2.4)

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What is the standard deviation of the data set? 1, 4, 2, 2, 8, 7, 3 Round your answer to the nearest tenth.
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Ierofanga [76]

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Step-by-step explanation:

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An economist uses the price of a gallon of milk as a measure of inflation. She finds that the average price is $3.82 per gallon
salantis [7]

Answer:

(a) The standard error of the mean in this experiment is $0.052.

(b) The probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c) The probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d) The likelihood that the sample mean is greater than $3.92 is 0.9726.

Step-by-step explanation:

According to the Central Limit Theorem if we have an unknown population with mean <em>μ</em> and standard deviation <em>σ</em> and appropriately huge random samples (<em>n</em> > 30) are selected from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

\mu_{\bar x}=\mu

And the standard deviation of the distribution of sample mean is given by,

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

The information provided is:

n=40\\\mu=\$3.82\\\sigma=\$0.33

As <em>n</em> = 40 > 30, the distribution of sample mean is \bar X\sim N(3.82,\ 0.052^{2}).

(a)

The standard error is the standard deviation of the sampling distribution of sample mean.

Compute the standard deviation of the sampling distribution of sample mean as follows:

\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}

    =\frac{0.33}{\sqrt{40}}\\\\=0.052178\\\\\approx 0.052

Thus, the standard error of the mean in this experiment is $0.052.

(b)

Compute the probability that the sample mean is between $3.78 and $3.86 as follows:

P(3.78

                               =P(-0.77

Thus, the probability that the sample mean is between $3.78 and $3.86 is 0.5587.

(c)

If the difference between the sample mean and the population mean is less than $0.01 then:

\bar X-\mu_{\bar x}

Compute the value of P(\bar X as follows:

P(\bar X

                    =P(Z

Thus, the probability that the difference between the sample mean and the population mean is less than $0.01 is 0.5754.

(d)

Compute the probability that the sample mean is greater than $3.92 as follows:

P(\bar X>3.92)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{3.92-3.82}{0.052})

                    =P(Z

Thus, the likelihood that the sample mean is greater than $3.92 is 0.9726.

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Answer:

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