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Anvisha [2.4K]
3 years ago
11

a cube is 6.75 cm on each side. Using the formula volume = (length of a side)^3, and 1 inch = 2.54 cm, determine the volume of t

he cube in cubic feet.
Mathematics
1 answer:
andriy [413]3 years ago
7 0
The volume of a cube is then (6.75cm)^3. Here the units are cubic centimeters or cm^3. Since there are 2.54 cm in 1 inch [exact] and 12 inches in 1 foot, the volume of the cube is (6.75 cm)^3 * (1 inch/2.54cm)^3 * (1 ft/12 inch)^3. 0.01086 ft^3 is your answer
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How can I solve this equation 6+7x=55
lorasvet [3.4K]

You could solve it with these two steps:

             #1).  Subtract 6 from each side of the equation.
and then
             #2). Divide each side by 7.

If you'll do that, the solution will be right there on the paper in front of you.
It'll begin with "x =", and right after that will be the value of 'x'.


7 0
3 years ago
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A snowboard is on sale for $476. If the
melamori03 [73]

Answer:

15%

Step-by-step explanation:

we call the original price 100% and to find the discount amount :

Multiply 100 by $476 then divide by $560

100 × $476 ÷ $560 = 85

$476 is 85% of the original price therefore the amount of discount as in percentage is 100 - 85 = 15%

8 0
3 years ago
(23.01) In a randomized comparative experiment on the effect of dietary calcium on blood pressure, researchers divided 58 health
Paul [167]

Answer:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

\bar X=113.7 represent the sample mean

\mu population mean (variable of interest)

s=9.1 represent the sample standard deviation

n=29 represent the sample size  

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 by:

df=n-1=29-1=28

The Confidence is 0.96 or 96%, the significance is \alpha=0.04 and \alpha/2 =0.02, and the critical value would be t_{\alpha/2}=2.154

Replacing the info we got:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

And the 96% confidence is given by (110.06; 117.34)

5 0
3 years ago
The number of wins for a high school football team is measured for the season. When the team plays at home, it is generally beli
Svetach [21]

Hi there :)

Question :

........

☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, and a causal relationship exists between the team playing at home and winning.

☆ The scatter plot would closely resemble a straight line with a negative slope. The data has a strong, negative correlation, but causation cannot be determined.

☆ The scatter plot would not be represented by a line of best fit with a negative slope. There is a weak correlation between the football team playing at home and winning.

☆ There is no causation and almost no correlation between the football team playing at home and winning.

Direct Answer- <em><u>Option A</u></em>

<em>Answer Explanation -</em>

<u>r = -0.91</u>

Negative, so opposite directions, which can be explained as for example, the more the team travels(plays away games), the less games it wins.

| r | = 0.91, which is quite close to 1, so a significant relationship. Also, Negative relation means that the scatter plot would be represented by a straight line with a negative slope, and so,<em><u> correct answer is Option A</u></em>

<em>Method explanation :-</em>

Correlation coefficients measure the relationship between variables, the closer | r | is to 1, the stronger the relationship will be.

If the coefficient is positive, then there will be a positive relationship. If the coefficient is negative, then there is a negative relationship.

5 0
2 years ago
Find the pay per hour if you earned $120.67 for 16 hours worked.
JulsSmile [24]

Answer:

$7.54 is the right answer

5 0
2 years ago
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