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2 years ago

What is the value of the expression 2x2 + 3xy – 4y2 when x = 2 and y = - 4?

1 answer:

5 0

Please use " ^ " to denote exponentiation: <span>2x^2 + 3xy – 4y^2

Now let x=2 and y= -4:

2(2)^2 + 3(2)(-4) - 4(-4)^2 = 8 - 24 -4(16) = -16 - 4(16) = -5(16) = -80 (answer)</span>

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Out of 450 applicants for a job, 206 are male and 62 are male and have a graduate degree.

xxMikexx [17]

Answer:

0.3009 is the probability that the applicant has graduate degree given he is a male.

Step-by-step explanation:

We are given he following in the question:

M: Applicant is male.

G: Applicant have a graduate degree

Total number of applicants = 450

Number of male applicants = 206

$n(M) = 206$

Number of applicants that are male and have a graduate degree = 62

$n(M\cap G) = 62$

$\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$P(M) = \dfrac{206}{450} = 0.4578$

$P(M\cap G) = \dfrac{n(M\cap G)}{n} = \dfrac{62}{450} = 0.1378$

We have to find the probability that the applicant has graduate degree given he is a male.

$P(G|M) = \dfrac{P(G\cap M)}{P(M)} = \dfrac{\frac{62}{450}}{\frac{206}{450}} = \dfrac{62}{206} = 0.3009$

Thus, 0.3009 is the probability that the applicant has graduate degree given he is a male.

5 0

2 years ago

Simplify (1-6)(-4-7)

lakkis [162]

Answer:

I’m guessing you subtract the numbers from the inside of the parenthesis and then multiply the two.

(-5)(-11) = 55

I hope this is correct.

7 0

2 years ago

Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your

Sati [7]

Answer:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

Step-by-step explanation:

Given

m₁ = 3/2

m₂ = -3/2

We know that when two lines are parallel, they have equal slopes

But

m₁ ≠ m₂

3/2 ≠ -3/2

As the m₁ and m₂ are not equal.

Hence, the lines are not parallel.

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = 3/2 × -3/2

= -9/4

= -2.25

m₁ × m₂ ≠ -1

Thus, the lines are not perpendicular.

Conclusion:

As the lines are neither parallel nor perpendicular.

Therefore, the correct answer is ''neither''.

Hence, option C is correct.

8 0

2 years ago

Someone please help me!!

Alinara [238K]

Answer:

The first choice

Step-by-step explanation:

Multiplyil by 6 to get 4y - 1 =21

4 0

2 years ago

I dont know how to do this please help and also please explain, thank you:)

saveliy_v [14]

Answer:

Step-by-step explanation:

it's A lol

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8 0

3 years ago

Read 2 more answers