What is the approximate area of a circle with radius 6 cm?

Emmanuel bought 27 lb of potting soil this week. This amount is 5 lb more than twice the amount of potting soil he bought last w

exis [7]

Answer:

Emmanuel purchased 11 pounds of soil last week.

Step-by-step explanation:

If we want to find the number of pounds of soil Emmanuel purchased last week, we will have to work backwards.

We know that the amount is 5 lb more than twice the amount of potting soil he bought last week. This info gives us an equation.

2x + 5 = 27, as its twice the amount last week and 5 lbs more. Now we solve.

2x + 5 = 27 | Subtract 5 from both sides

2x = 22 | Divide both sides by 2

x = 11

8 0

3 years ago

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As part of their business promotional package, the Milwaukee Chamber of Commerce would like an estimate of the mean cost per mon

Morgarella [4.7K]

Answer:

a) $884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

b) For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=884$ represent the sample mean

$\mu$ population mean (variable of interest)

s=50 represent the sample standard deviation

n=40 represent the sample size

Solution to the problem

Part a

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=40-1=39$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,39)".And we see that $t_{\alpha/2}=2.426$

Now we have everything in order to replace into formula (1):

$884-2.426\frac{50}{\sqrt{40}}=864.82$

$884+2.426\frac{50}{\sqrt{40}}=903.179$

So on this case the 98% confidence interval would be given by (864.82;903.179)

Part b

For this case the upper bound of the confidence interval is lower than 950 so we don't have a significant evidence to conclude that the true mean is 950 per month

3 0

3 years ago

-6(x+4) what this answer simplified.

Ilya [14]

Answer:

-6x-24

Step-by-step explanation:

all you have to do is multiply, so -6*x and -6*4 and since -24 is a negative the equation is going to be subtracting

3 0

3 years ago

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Which of the following represents a fraction that coverts to a repeating decimal with a value less than one ?

BARSIC [14]

Answer:

4/9 is 0.44 repeating

3 0

3 years ago

An inequality that contains at least one variable

soldier1979 [14.2K]

Answer: x-4 ≥12

Step-by-step explanation:

Hi, to answer this question we have to know what an inequality and a variable are:

Inequality: An inequality is a expression that compares two values, showing if one is less than, greater than, or simply not equal to another value.

Variable: is a symbol for a number that is unknown: they usually are letters (x;y).

An inequality that contains at least one variable could be:

x-4 ≥12

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3 years ago

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