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4 years ago

What is the mathmatical definition of decomposing

Mathematics

2 answers:

Vinil7 [7]4 years ago

7 0

Answer:

Decomposing is an important mathematical concept because it helps students develop an understanding of how addition and subtraction works. Students can put together (compose) or take apart (decompose) objects to represent addition and subtraction.

Idk what else to say

jarptica [38.1K]4 years ago

4 0

It's when we break a number apart. Like as if we take 3,864. And we take each number and put it in a area of the number.

3=Thousands.
8=Hundreds.
6=Tens.
4=Ones.

Fairly simple and easy.

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The weight of an adult swan is normally distributed with a mean of 26 pounds and a standard deviation of 7.2 pounds. A farmer ra

Snezhnost [94]

Let $X$ denote the random variable for the weight of a swan. Then each swan in the sample of 36 selected by the farmer can be assigned a weight denoted by $X_1,\ldots,X_{36}$ , each independently and identically distributed with distribution $X_i\sim\mathcal N(26,7.2)$ .

You want to find

$\mathbb P(X_1+\cdots+X_{36}>1000)=\mathbb P\left(\displaystyle\sum_{i=1}^{36}X_i>1000\right)$

Note that the left side is 36 times the average of the weights of the swans in the sample, i.e. the probability above is equivalent to

$\mathbb P\left(36\displaystyle\sum_{i=1}^{36}\frac{X_i}{36}>1000\right)=\mathbb P\left(\overline X>\dfrac{1000}{36}\right)$

Recall that if $X\sim\mathcal N(\mu,\sigma)$ , then the sampling distribution $\overline X=\displaystyle\sum_{i=1}^n\frac{X_i}n\sim\mathcal N\left(\mu,\dfrac\sigma{\sqrt n}\right)$ with $n$ being the size of the sample.

Transforming to the standard normal distribution, you have

$Z=\dfrac{\overline X-\mu_{\overline X}}{\sigma_{\overline X}}=\sqrt n\dfrac{\overline X-\mu}{\sigma}$

so that in this case,

$Z=6\dfrac{\overline X-26}{7.2}$

and the probability is equivalent to

$\mathbb P\left(\overline X>\dfrac{1000}{36}\right)=\mathbb P\left(6\dfrac{\overline X-26}{7.2}>6\dfrac{\frac{1000}{36}-26}{7.2}\right)$
$=\mathbb P(Z>1.481)\approx0.0693$

5 0

3 years ago

nida is buying a small storage box online. She sees a cube box with volume of 125cm^3. What is the length of each box edge?

aleksklad [387]

Answer:

5 cm

Step-by-step explanation:

Here, we want to get the length of each box edge

Let the length be s

Mathematically, the volume of a cube is s^3

Thus;

s^3 = 125

s^3 = 5^3

s = 5 cm

5 0

3 years ago

Please help! 7th one!

denis23 [38]

The method we need to use here is very particular to this type of a situation. The way we will find that polynomial, or the divisor, is to follow this formula: $g(x)= \frac{dividend-remainder}{quotient}$ . For us that will look like this: $g(x)= \frac{4x^4-5x^3-39x^2-46x-2-(-5x+8)}{x^2-3x-5}$ . First we will simplify as much as possible that very long numerator there. It simplifies to $g(x)= \frac{4x^4-5x^3-39x^2-41x-10}{x^2-3x-5}$ . What you do now is use long division of polynomials, which, unfortunately, is impossible to show in this forum. However, get familiar with the long division process if you are not already, and you will find that your polynomial g(x) is $4x^2+7x+2$ .

6 0

4 years ago

How many inches are in 5 1/2 feet?

Brums [2.3K]

Answer:

there are 66 inches in 5 and a half fert

3 0

3 years ago

Read 2 more answers

sarah wants to buy a gym membership. One gym has a $150 joining fee and costs $35 a month. Another gym has no joining fee and co

Doss [256]

Answer:

6 months

Step-by-step explanation:

60,120,180,240,300,360

150+35=185. 185,220,255,290,325,360

5 0

3 years ago