What property is 15+0=15

erik [133]

Answer:

A

Step-by-step explanation:

The two trapezoids are similar and have a ratio of 2 : 1. We can figure that out because FG, (5.8) divided by KL(2.9) = 2.

Then we do 17.4/2 to get A.

:)

7 0

2 years ago

(x +y)^5<br> Complete the polynomial operation

Vesna [10]

Answer:

Please check the explanation!

Step-by-step explanation:

Given the polynomial

$\left(x+y\right)^5$

$\mathrm{Apply\:binomial\:theorem}:\quad \left(a+b\right)^n=\sum _{i=0}^n\binom{n}{i}a^{\left(n-i\right)}b^i$

$a=x,\:\:b=y$

$=\sum _{i=0}^5\binom{5}{i}x^{\left(5-i\right)}y^i$

so expanding summation

$=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5$

solving

$\frac{5!}{0!\left(5-0\right)!}x^5y^0$

$=1\cdot \frac{5!}{0!\left(5-0\right)!}x^5$

$=1\cdot \:1\cdot \:x^5$

$=x^5$

also solving

$=\frac{5!}{1!\left(5-1\right)!}x^4y$

$=\frac{5}{1!}x^4y$

$=\frac{5x^4y}{1}$

$=5x^4y$

similarly, the result of the remaining terms can be solved such as

$\frac{5!}{2!\left(5-2\right)!}x^3y^2=10x^3y^2$

$\frac{5!}{3!\left(5-3\right)!}x^2y^3=10x^2y^3$

$\frac{5!}{4!\left(5-4\right)!}x^1y^4=5xy^4$

$\frac{5!}{5!\left(5-5\right)!}x^0y^5=y^5$

so substituting all the solved results in the expression

$=\frac{5!}{0!\left(5-0\right)!}x^5y^0+\frac{5!}{1!\left(5-1\right)!}x^4y^1+\frac{5!}{2!\left(5-2\right)!}x^3y^2+\frac{5!}{3!\left(5-3\right)!}x^2y^3+\frac{5!}{4!\left(5-4\right)!}x^1y^4+\frac{5!}{5!\left(5-5\right)!}x^0y^5$

$=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$

Therefore,

$\left(x\:+y\right)^5=x^5+5x^4y+10x^3y^2+10x^2y^3+5xy^4+y^5$

6 0

2 years ago

Find 45 divided by 5/11

Vlad [161]

45 divided by 5 is 99

6 0

2 years ago

Read 2 more answers

Kiran got 99 marks in Math, 69 mark in English and 91 in science. Another student Surya got 92 marks in Maths 33 in English and

statuscvo [17]

Answer:

Total marks = 468

Step-by-step explanation:

to find their total marks, you should simply find the sum of all the marks scored by Kiran and Surya in all subjects. That is done as follows:

99 + 69 + 91 + 92 + 33 + 84 = 468

4 0

2 years ago

Which of the following is not true about the standard error of a statistic?

aniked [119]

Answer:

Only option d is not true

Step-by-step explanation:

Given are four statements about standard errors and we have to find which is not true.

A. The standard error measures, roughly, the average difference between the statistic and the population parameter.

-- True because population parameter is mean and the statistic are the items. Hence the differences average would be std error.

B. The standard error is the estimated standard deviation of the sampling distribution for the statistic.

-- True the sample statistic follows a distribution with standard error as std deviation

C. The standard error can never be a negative number. -- True because we consider only positive square root of variance as std error

D. The standard error increases as the sample size(s) increases

-- False. Std error is inversely proportional to square root of n. So when n decreases std error increases

5 0

2 years ago