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Svetllana [295]

3 years ago

8

Solve for x

}^{2} = 7x + 2" alt="4 {x}^{2} = 7x + 2" align="absmiddle" class="latex-formula">

1 answer:

Alina [70]3 years ago

7 0

$\bf 4x^2=7x+2\implies 4x^2-7x-2=0\implies (4x+1)(x-2)=0 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 4x\cdot x=\boxed{4x^2}~\hfill (1)(-2)=\boxed{-2}\hfill (4x\cdot -2)+(1\cdot x)=\boxed{-7x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 4x+1=0\implies 4x=-1\implies &x=-\cfrac{1}{4}\\[1em] x-2=0\implies &x=2 \end{cases}$

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What is the initial value of the equation shown?

Ksju [112]

Answer:

Y = 2

Step-by-step explanation:

if you were looking for y's value

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2 years ago

Which property is illustrated by the following statement if ABC=DEF and DEF=XYZ then ABC=XYZ

Harlamova29_29 [7]

Answer:

Transitive property of equality

Step-by-step explanation:

Let A be any non empty set and R is any subset of the Cartesian product A × A. Then, R is a relation on A.

The relation R is said to be a transitive relation if (a, b) ∈ R, (b, c) ∈ R, then (a, c) ∈ R.

It is given that ABC = DEF and DEF = XYZ, then ABC = XYZ.

This shows the transitive property of equality.

3 0

3 years ago

Read 2 more answers

he yearbook club had a meeting. The meeting had 24 people, which is three-fourths of the club. How many people are in the club

WINSTONCH [101]

Answer:

32 people

Step-by-step explanation:

If 3/4 equals 24, we need to find the other fourth. We can divided the total number of people by the numerator. 24/8, then add 8, which equals 32.

4 0

3 years ago

A gambler has a coin which is either fair (equal probability heads or tails) or is biased with a probability of heads equal to 0

yawa3891 [41]

Answer:

(a) 0.1719

(b) 0.3504

Step-by-step explanation:

For every coin the number of heads follows a Binomial distribution and the probability that x of the 10 times are heads is equal to:

$P(x)=\frac{n!}{x!(n-x)!}*p^x*(1-p)^{10-x}$

Where n is 10 and p is the probability to get head. it means that p is equal to 0.5 for the fair coin and 0.3 for the biased coin

So, for the fair coin, the probability that the number of heads is less than 4 is:

$P(x$

Where, for example, P(0) and P(1) are calculated as:

$P(0)=\frac{10!}{0!(10-0)!}*0.5^0*(1-0.5)^{10-0}=0.0009\\P(1)=\frac{10!}{1!(10-1)!}*0.5^1*(1-0.5)^{10-1}=0.0098$

Then, $P(x$ , so there is a probability of 0.1719 that you conclude that the coin is biased given that the coin is fair.

At the same way, for the biased coin, the probability that the number of heads is at least 4 is:

$P(x\geq4 )=P(4)+P(5)+P(6)+...+P(10)$

Where, for example, P(4) is calculated as:

$P(4)=\frac{10!}{4!(10-4)!}*0.3^4*(1-0.3)^{10-4}=0.2001$

Then, $P(x\geq4 )=0.3504$ , so there is a probability of 0.3504 that you conclude that the coin is fair given that the coin is biased.

7 0

3 years ago

There is a ratio of 5 girls to 3 boys in the chorus. There are 24 boys in the chorus. How. many girls are in the chorus?

leva [86]

Answer: 40

Step-by-step explanation:

5/3 24/?

divided by 8 =24 divided by 8 =3

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Hope this helps :)

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3 years ago