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3 years ago

Determine f(2) where f(x)= x+1/4x-2

Mathematics

1 answer:

taurus [48]3 years ago

3 0

F(2)= (2)+1/4(2)-2
F(2)=3/6
F(2)= 1/2

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You are going to meet a friend at the airport. Your experience tells you that the plane is late 70% of the time when it rains, b

Feliz [49]

Answer:

0.4

Step-by-step explanation:

Probability of rain = P(R)

Probability of late plane = P(L)

So, the probability of no rain = P(R')

Breaking it down

If it rains, 40% chance, P(R) = 0.4

That the plane would be late if it rains = 70% × 40%, that is, P(R n L) = 0.7 × 0.4 = 0.28, 28% of the total chance.

That the plane would be on time if it rains = 30% × 40%, that is, P(R n L') = 0.3 × 0.4 = 0.12, 12% of the total chance.

If it doesn't rain, 60% chance, P(R') = 1 - P(R) = 1 - 0.4 = 0.6

That the plane would be late if it doesn't rain = 20% × 60%, that is, P(R n L') = 0.2 × 0.6 = 0.12, 12% of the total chance.

That the plane would be on time if it doesn't rain = 80% × 60%, that is, P(R' n L') = 0.8 × 0.6 = 0.48, 48% of the total chance.

So, probability that the plane would be late = P(L) = P(R n L) + P(R' n L) = 0.28 + 0.12 = 0.4 = 40%

6 0

3 years ago

Ms. A. Lee is an advisor for the Walton College of Business and she is often asked by students what they should major in if they

sdas [7]

Answer:

1. college

2, salary

3. true experiment

4. 2

Step-by-step explanation:

1. in this scenario the independent variable is the college. that is either walton college or non walton.

2. the dependent variable is the variable of interest. And this is salary. Students want to know what to major in that can give them a lot of salary when they start working.

3. This is a true experiment due to the random sample assigned.

4. 2 conditions to infer causation have been met.

3 0

3 years ago

Solve for p: 1/4p = 11 a) p = 7 b) p = 15 c) p = 30 d) p = 44

NISA [10]

Hello!

Explanation:

First, you had to do is multiply by 4 from both sides of an equation.

$4*\frac{1}{4}p=11*4$

And, then simplify. You can also multiply by the numbers.

$11*4=44$

$4*11=44$

$44/11=4$

$44/4=11$

Answer: $p=44$

*The answer must have a positive sign.*

Hope this helps!

Thanks!

-Charlie

7 0

3 years ago

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Solve: [4x + 2] + 6 =0

WINSTONCH [101]

Answer:

Given

Step-by-step explanation:

4x+2+6=0

4x+2=-6

4x= -6-2

4x= -8

x = -8/4

= -2

6 0

3 years ago

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for v= 4i - 5j, find unit vector u in the direction of v, and write your answer as a linear combination of the standard unit vec

umka21 [38]

Answer:

a. $u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

Step-by-step explanation:

The given vector is v= 4i - 5j

The magnitude of this vector is;

$|v|=\sqrt{(-4)^2+(-5)^2}$

$|v|=\sqrt{16+25}$

$|v|=\sqrt{41}$

The unit vector u in the direction of v is;

$u=\frac{v}{|v|}$

$u=\frac{4i - 5j}{\sqrt{41}}$

$u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}$

We rationalize to get

$u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}$

4 0

3 years ago

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