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3 years ago

Simplify the expression -3x+5y-2+7x-8y+5

1 answer:

Natasha2012 [34]3 years ago

8 0

To simplify this expression we need, at first, to find like terms.

<span>-3x+5y-2+7x-8y</span><span>-3x+5 = (</span>-3x+7x)+ (5y-8y) -2+5 = 4x + 3y +3

4x + 3y +3 is the answer.

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A group of three undergraduate and five graduate students are available to fill certain student government posts. If four studen

creativ13 [48]

Answer:

$Pr = 0.4286$

Step-by-step explanation:

Given

Let

$U \to\\$ Undergraduates

$G \to$ Graduates

So, we have:

$U = 3; G =5$ -- Total students

$r = 4$ --- students to select

Required

$P(U =2)$

From the question, we understand that 2 undergraduates are to be selected; This means that 2 graduates are to be selected.

First, we calculate the total possible selection (using combination)

$^nC_r = \frac{n!}{(n-r)!r!}$

So, we have:

$Total = ^{U + G}C_r$

$Total = ^{3 + 5}C_4$

$Total = ^8C_4$

$Total = \frac{8!}{(8-4)!4!}$

$Total = \frac{8!}{4!4!}$

Using a calculator, we have:

$Total = 70$

The number of ways of selecting 2 from 3 undergraduates is:

$U = ^3C_2$

$U = \frac{3!}{(3-2)!2!}$

$U = \frac{3!}{1!2!}$

$U = 3$

The number of ways of selecting 2 from 5 graduates is:

$G = ^5C_2$

$G = \frac{5!}{(5-2)!2!}$

$G = \frac{5!}{3!2!}$

$G =10$

So, the probability is:

$Pr = \frac{G * U}{Total}$

$Pr = \frac{10*3}{70}$

$Pr = \frac{30}{70}$

$Pr = 0.4286$

5 0

2 years ago

Andrew went for a walk in the park. The trail he took is 1 1/4 miles long. He walked for 1/2 mile before stopping for a water br

garik1379 [7]

Andrew walked for 3/4 miles after his break

<h3>How to calculate the number of miles Andrew walked after the break ? </h3>

Andrew went for a walk

The trail he took is 1 1/4 miles long

He walked for 1/2 miles before stopping for a water break

After the break, he continued the journey

He continued the journey without stopping

The distance Andrew walked after his break can be calculated as follows

5/4 - 1/2

= 5-2/4

= 3/4

Hence Andrew walked for 3/4 miles after taking the break

Read more on miles here

brainly.com/question/14085856

#SPJ1

6 0

1 year ago

Consider the probability that at least 93 out of 154 CDs will not be defective. Assume the probability that a given CD will not

Yuki888 [10]

Answer:

0.5962

Step-by-step explanation:

Given that :

p = 61% = 0.61

q = 1 - p = 1 - 0.61 = 0.39

n = 154 ; x = 93

Using the binomial probability formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

P(x>=93) = p(x=93)+p(x=94)+...+p(x=n)

P(x>= 93) = 0.59619

P(x>= 93) = 0.5962

7 0

2 years ago

Please help!<br> Hard math.

Reil [10]

Answer:

the value of digit 3 in 156.32 =

3 x 0.1 = 0.3

The value of digit 3 in 13 =

3 x 1 = 3

3/0.3=10 times

The value of digit 3 in 13 is 10 ten times the value of digit 3 in 156.32

As long as the (digit in ones/single digit) of a number is equal to 3

The value of digit 3 of it is always 10 ten times the value of digit 3 in 156.32

5 0

2 years ago

what is the equation in slope intercept form of the line that is parallel to the given line and passes through the point (0,12)?

Ket [755]

Without the original equation, it's impossible to answer that question. I'm sorry.

8 0

3 years ago