Find the volume of a can of corn with a diameter of 3 inches and a height of 6 inches

Find the product. (3x 2 - 5x + 3)(3x - 2)

Romashka [77]

Answer:

9x^3-21x^2+19x-6

Step-by-step explanation:

First you have to distribute the first equation into the second since the two are being multiplied:

(3x^2-5x+3)(3x-2)

9x^3-6x^2-15^2+10x+9x-6

(simplify)

9x^3-21x^2+19x-6

7 0

4 years ago

Wayland purchased new speakers that were on sale for 30% of the regular price. He saved $36 which is 30% off. What is the regula

Nonamiya [84]

Answer:

Step-by-step explanation:

First consider the unknown original price as 'x'.

Then consider the rate of discount.

To find the actual discount, multiply the discount rate by the original amount 'x'.

To find the sale price, subtract the actual discount from the original amount 'x' and equate this to given sale price.

5 0

3 years ago

Solve the equation and enter the value of x below 2(x+6)=-10

malfutka [58]

Answer:

$\huge \boxed{x=-11}$

Step-by-step explanation:

First, divide by 2 from both sides of equation.

$\displaystyle \frac{2(x+6)}{2}=\frac{-10}{2}$

Then, solve.

$\displaystyle x+6=-5$

Subtract by 6 from both sides of equation.

$\displaystyle x+6-6=-5-6$

Solve to find the answer.

$\displaystyle x=-11$ , which is our answer.

6 0

3 years ago

A classic rock radio station claims to play an average of 50 minutes of music every hour. However, it seems that every time you

tia_tia [17]

Answer:

a) $47.917-1.796\frac{2.811}{\sqrt{12}}=46.460$

$47.917+1.796\frac{2.811}{\sqrt{12}}=49.374$

b) Null hypothesis: $\mu =50$

Alternative hypothesis: $\mu \neq 50$

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

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".

We have the following data: 44 49 45 51 49 53 49 44 47 50 46 48

And we can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

And replacing we got:

$\bar X= 47.917, s= 2.811$

$\mu$ population mean (variable of interest)

n=12 represent the sample size

Part a: Calculate the confidence interval

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

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

The degrees of freedom are given:

$df= n-1= 12-1=11$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,11)".And we see that $t_{\alpha/2}=1.796$

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

$47.917-1.796\frac{2.811}{\sqrt{12}}=46.460$

$47.917+1.796\frac{2.811}{\sqrt{12}}=49.374$

Part b

For this case the system of hypothesis are:

Null hypothesis: $\mu =50$

Alternative hypothesis: $\mu \neq 50$

And after analyze the interval obtained the upper limit not contains the value of 50, so then we can conclude that the claim is not satisfied for this case, and the population mean seems to be lower than 50 at 10% of significance.

6 0

3 years ago

. The product of 2<br> rational numbers.

Zarrin [17]

Answer:

$Rational$

Step-by-step explanation:

The product of two numbers is always rational.

4 0

3 years ago

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