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shepuryov [24]
3 years ago
15

Susie use the one have to help compare 1/3 to 3/5 and to help in comparing 3/7 with 2/3 explain how 1/2 helps determine which fr

action is greater than each combination
Mathematics
1 answer:
gogolik [260]3 years ago
8 0

The fraction \frac{3}{5} and \frac{2}{3} are the greatest in each combination.

Explanation:

Comparing the fraction \frac{1}{2} with \frac{1}{3} and \frac{3}{5} to find the greatest value.

The fraction \frac{1}{2}>\frac{1}{3} and \frac{1}{2}

Thus, \frac{1}{3}

Hence, \frac{3}{5} is the greatest value in this combination.

Also, Comparing the fraction \frac{1}{2} with \frac{3}{7} and \frac{2}{3} to find the greatest value.

The fraction \frac{1}{2}>\frac{3}{7} and \frac{1}{2}

Thus, \frac{3}{7}

Hence, \frac{2}{3} is the greatest value in this combination.

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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.

3 0
3 years ago
(x + 4)(3x + 2) = ____________ 2. (3x – 1)(2x – 5) = ____________ 3. (5x + 2)(2x + 5) = ____________ 4. (4x – 1)(2x + 7) = _____
Sidana [21]

Answer:

Step-by-step explanation:

Use FOIL method

1) (x +4 )(3x +2) = x*3x + x*2 + 4*3x + 4*2

                        = 3x² + 2x + 12x + 8

                        = 3x² + 14x + 8

4) (4x - 1) (2x + 7) = 4x*2x + 4x*7 + (-1)*2x + (-1) * 7

                           = 8x² + 28x - 2x - 7

                            = 8x² + 26x - 7

6 0
2 years ago
Answer for the points<br> 6 − (9 − 2) + 3 × 6
AfilCa [17]

Answer:

17

Step-by-step explanation:

USING BIDMAS (Brackets Indices Division Multiplication Addition Subtraction)

6 − (9 − 2) + 3 × 6

9-2=7

3x6=18

6-7+18=17

8 0
3 years ago
What is the approximate circumference of the circle shown below 14.8cm
Harman [31]

Answer:

r≈2.36cm

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Help. Only two questions.
anastassius [24]
6; because they are an equal distance apart
7 0
3 years ago
Read 2 more answers
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