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3 years ago

SOMEONE HELP ME PLS ASAP I WILL GIVE BRAINLIEST PROVE ABCD IS A PARALLELOGRAM

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation:

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A company has 8 mechanics and 6 electricians. If an employee is selected at random, what is the probability that they are an ele

Andre45 [30]

Answer:

$Probability = \frac{3}{7}$

Step-by-step explanation:

Given

Electrician = 6

Mechanic = 8

Required

Determine the probability of selecting an electrician

First, we need the total number of employees;

$Total = n(Electrician) + n(Mechanic)$

$Total = 6 + 8$

$Total = 14$

Next, is to determine the required probability using the following formula;

$Probability = \frac{n(Electrician)}{Total}$

$Probability = \frac{6}{14}$

Divide numerator and denominator by 2

$Probability = \frac{3}{7}$

<em>Hence, the probability of selecting an electrician is 3/7</em>

4 0

3 years ago

Find minimum value for the perimeter of the rectangle.

katrin [286]

Answer:

possible lengths

45 and 2

3 and 20

5 and 18

15 and 6

10 and 9

there perimeter will be

answer to this question is 15 and 6

7 0

3 years ago

Find a compact form for generating functions of the sequence 1, 8,27,... , k^3

pantera1 [17]

This sequence has generating function

$F(x)=\displaystyle\sum_{k\ge0}k^3x^k$

(if we include $k=0$ for a moment)

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{k\ge0}x^k$

Take the derivative to get

$\displaystyle\frac1{(1-x)^2}=\sum_{k\ge0}kx^{k-1}=\frac1x\sum_{k\ge0}kx^k$

$\implies\dfrac x{(1-x)^2}=\displaystyle\sum_{k\ge0}kx^k$

Take the derivative again:

$\displaystyle\frac{(1-x)^2+2x(1-x)}{(1-x)^4}=\sum_{k\ge0}k^2x^{k-1}=\frac1x\sum_{k\ge0}k^2x^k$

$\implies\displaystyle\frac{x+x^2}{(1-x)^3}=\sum_{k\ge0}k^2x^k$

Take the derivative one more time:

$\displaystyle\frac{(1+2x)(1-x)^3+3(x+x^2)(1-x)^2}{(1-x)^6}=\sum_{k\ge0}k^3x^{k-1}=\frac1x\sum_{k\ge0}k^3x^k$

$\implies\displaystyle\frac{x+4x^3+x^3}{(1-x)^4}=\sum_{k\ge0}k^3x^k$

so we have

$\boxed{F(x)=\dfrac{x+4x^3+x^3}{(1-x)^4}}$

5 0

4 years ago

What’s the volume of the composite figure of the triangle? 4x8x12

lilavasa [31]

Answer:

384

Step-by-step explanation:

All you have to do is multiply the three numbers

5 0

4 years ago

Pre algebra help ! Easy

vitfil [10]

The only answer is 1

3 0

4 years ago

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