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anyanavicka [17]
3 years ago
15

Question 2 of 7

Mathematics
2 answers:
slamgirl [31]3 years ago
8 0
2 times 8 x 12

192

2 times 5 x 8

80

2 times 12 x 5

60

192+80+60=332 ft^2
posledela3 years ago
6 0

Answer:

332 ft²

Step-by-step explanation:

The total area of the fish tank is the sum of the areas of the base and the walls.

The area of a rectangle is A = side 1 × side 2

Base

A = 12 ft × 5 ft = 60 ft²

2 8×12-walls

A = 8 ft × 12 ft = 96 ft²

2 walls: 2 × 96 ft² = 192 ft²

2 5×8-walls

A = 5 ft × 8 ft = 40 ft²

2 walls: 2 × 40 ft² = 80 ft²

Total area: 60 ft² + 192 ft² + 80 ft² = 332 ft²

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mel-nik [20]

Answer:

\Huge\boxed{x=33.2}

Step-by-step explanation:

Hello there!

We can solve for x using law of sines

As we can see in the image a side length divided by sin ( its opposite angle) = a different side length divided by sin ( its opposite angle)

So we can use this equation to solve for x

\frac{21}{sin(35)} =\frac{x}{sin(65)}

Our objective is to isolate the variable using inverse operations so to get rid of sin (65) we multiply each side by sin (65)

\frac{x}{sin(65)} sin(65)=x\\\\\frac{21}{sin(35)} sin(65)=\frac{21sin(65)}{sin(35)}

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7 0
3 years ago
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Step-by-step explanation:

6 0
3 years ago
What is the formula for a confidence interval?
ikadub [295]

Answer:

a) The formula is given by mean \pm the margin of error. Where the margin of error is the product between the critical value from the normal standard distribution at the confidence level selected and the standard deviation for the sample mean.

b) \bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

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".  

If the distribution for X is normal or if the sample size is large enough we know that the distribution for the sample mean \bar X is given by:

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Part a

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Part b

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

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

5 0
3 years ago
-1/3d + 4/5 = 3/4<br> solve for the variable.
Gnesinka [82]

Answer:  x equals 12

Step-by-step explanation:

hope this helped

4 0
3 years ago
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