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3 years ago

2x^3+4x^2-5/x+3 using long divsion

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

7 0

Answer:

2x^4+4x^3+3x-5/x

Step-by-step explanation:

What do you mean by long division.....

1. Write the problem.

2. Write all numerators above the common denominator- x.

3. Reorder the terms and you get the answer.

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A little kid's swimming pool holds 280 quarts of water. How many gallons is that? Show all of your work

castortr0y [4]

Answer:

70 gallons

Step-by-step explanation:

I know there are 4 quarts in a gallon, so divide the given quarts amount by 4!

280 ÷ 4 = 70.

Search "gallon conversion chart" on a search engine to find some helpful images!! :)

3 0

2 years ago

A test consists of 100 multiple choice questions, each with five possible answers, only one of which is correct. Find the mean a

TEA [102]

Answer: Mean = 20 and standard deviation = 4

Step-by-step explanation:

Let x represents the success of getting the correct answer.

Here, the total number of trials(n) = 100

The probability of getting the correct answer, p = 1/5

Thus, the mean of the number of correct answer,

$\mu_x= np$

$\mu_x= 100\times 1/5$

$\mu_x= 20$

Now, the standard deviation, $\sigma_x= \sqrt{n\times p\times (1-p)}$

$\sigma_x= \sqrt{100\times 1/5\times 4/5}$

$\sigma_x= \sqrt{16}$

$\sigma_x= 4$

Thus, First option is correct.

6 0

3 years ago

Rectangle A measures 9inches by 3 inches, rectangle B is a scaled copy of rectangle A . What are all the measurements pairs that

Tanzania [10]

Answer:

Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.

Step-by-step explanation:

Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.

As we are given Dimensions of rectangle A = 9 inches by 3 inches

Then for any scaling factor x the dimensions of rectangle B will be:

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimension of rectangle B = x * (9 inches by 3 inches)

Dimensions of rectangle B = 9x inches by 3x inches

For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:

For scaling factor (x) = 3;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 3 (9 inches by 3 inches)

Dimensions of rectangle B = 27 inches by 9 inches

On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 0.75 (9 inches by 3 inches)

Dimensions of rectangle B = 6.75 inches by 2.25 inches

8 0

2 years ago

2. The quality assurance department inspects its production line. The product either fails or passes the inspection. Past experi

Oksana_A [137]

Answer:

(a) $E(X) = 950$

(b) $COV = 0.007255$

Step-by-step explanation:

The given problem can be solved using binomial distribution since the product either fails or passes, the probability of failure or success is fixed and there are n repeated trials.

probability of failure = q = 0.05

probability of success = p = 1 - 0.05 = 0.95

number of trials = n = 1000

(a) What is the expected number of non-defective units?

The expected number of non-defective units is given by

$E(X) = n \times p \\\\E(X) = 1000 \times 0.95 \\\\E(X) = 950$

(b) what is the COV of the number of non-defective units?

The coefficient of variance is given by

$COV = \frac{\sigma}{E(X)}$

Where the standard deviation is given by

$\sigma = \sqrt{n \times p\times q} \\\\\sigma = \sqrt{1000 \times 0.95\times 0.05} \\\\\sigma = 6.892$

So the coefficient of variance is

$COV = \frac{6.892}{950}$

$COV = 0.007255$

(c) What is the probability of having more than 980 non-defective units?

We can use the Normal distribution as an approximation to the Binomial distribution since n is quite large and so is p.

$P(X > 980) = 1 - P(X < 980)\\\\P(X > 980) = 1 - P(Z < \frac{x - \mu}{\sigma} )\\\\$

We need to consider the continuity correction factor whenever we use continuous probability distribution (Normal distribution) to approximate discrete probability distribution (Binomial distribution).

$P(X > 980) = 1 - P(Z < \frac{979.5 - 950}{6.892} )\\\\P(X > 980) = 1 - P(Z < \frac{29.5}{6.892} )\\\\P(X > 980) = 1 - P(Z < 4.28)\\\\$

The z-score corresponding to 4.28 is 0.99999

$P(X > 980) = 1 - 0.99999\\\\P(X > 980) = 0.00001\\\\$

So it means that it is very unlikely that there will be more than 980 non-defective units.

8 0

3 years ago

Question below here you can rear if not aks me please and thank you

Vanyuwa [196]

180-48.2-75=56.8 thank you

5 0

2 years ago