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2 years ago

What is the quotient (6x4 − 15x3 + 10x2 − 10x + 4) ÷ (3x2 + 2)?

Mathematics

1 answer:

Alexandra [31]2 years ago

6 0

Answer:

The quotient of (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)

is 2x2 + 5x + 2.

Step-by-step explanation:

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What is the volume of a triangular prisim if the length is 4cm heigght is 3cm and width is 11cm

aniked [119]

Volume is a three-dimensional scalar quantity. The volume of the triangular prism is 66cm².

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the length of the triangle is 4cm, while the width of the triangle is 11cm, therefore, the area of the base of the triangle will be,

Area of triangle = 0.5 × 4cm × 11cm

Area of triangle = 22 cm²

Now, the volume of the prism with a base area of 22cm² and a height of 3 cm is,

Volume of the triangular prism = 22cm² × 3cm = 66cm³

Hence, the volume of the triangular prism is 66cm².

Learn more about Volume:

brainly.com/question/13338592

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5 0

2 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vesna [10]

Answer:

A sample size of at least 1,353,733 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.327$ .

You would like to be 98% confident that you esimate is within 0.1% of the true population proportion. How large of a sample size is required?

We need a sample size of at least n.

n is found when M = 0.001.

Since we don't have an estimate for the proportion, we use the worst case scenario, that is $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.001 = 2.327\sqrt{\frac{0.5*0.5}{n}}$

$0.001\sqrt{n} = 2.327*0.5$

$\sqrt{n} = \frac{2.327*0.5}{0.001}$

$(\sqrt{n})^{2} = (\frac{2.327*0.5}{0.001})^{2}$

$n = 1353732.25$

Rounding up

A sample size of at least 1,353,733 is required.

5 0

3 years ago

There are 10 marbles in a bag. Tyrell draws one marble out at a time without looking and replaces it in the bag. Tyrell did this

LekaFEV [45]

The best choice is 'C'. If it's 1, 5, and 4, then ideally, in 100 draws, you would expect 10, 50, and 40 ... pretty close to Tyrell's actual experimental results.

6 0

3 years ago

Read 2 more answers

I need help with this one

klio [65]

It is a that is your answer

8 0

3 years ago

Staples pays George Nagovsky an annual salary of $36,000. Today, George's boss informs him that he will received a $4,600 raise.

konstantin123 [22]

George will receive 13% of his old income

3 0

3 years ago