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ladessa [460]
3 years ago
5

What is the volume of a rectangular crate that has dimensions 8 inches by 8 inches by 1 1/4 feet? 80 in.3 1,024 in.3 960 in.3 31

in.
Mathematics
1 answer:
snow_tiger [21]3 years ago
7 0

in plain and short, is just their product.

now, let's convert the mixed fractions to "improper" firstly, and then multiply.

\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} \\\\\\ 8\cdot 8\cdot \cfrac{5}{4}\implies \cfrac{8\cdot 8\cdot 5}{4}\implies \cfrac{320}{4}\implies 80

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I don’t understand can someone please explain how to work this out and what the answer is
joja [24]

When you see an equation with parenthesis around it, you can use this:

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Otherwise known as PEMDAS.

We can see that in the equation, there are parenthesis, so we can open those. We open parenthesis by taking the number right next to the parenthesis (or outside the parenthesis) and we multiply that number by everything inside. So this is what it would look like:

-2x^2 - 10x + 8

See how the signs changed? This rule only applies when you multiply something, but here is how I think of it:

+ and + always equals +.

- and - always equals +.

- and + always equals -.

+ and - always equals -.

So that's it! Just to be clear, the answer is:

-2x^2 - 10x + 8

Hope I helped, sorry if I'm wrong!

`Mschmindy

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3 0
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Construct a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s
vivado [14]

Using the z-distribution, the 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The estimate and the sample size are given by:

\pi = 0.36, n = 100.

Then the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836

The 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

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