All categories

2 years ago

What is the domain of f(x) = 2|x - 3| + 1 ?

Mathematics

1 answer:

defon2 years ago

7 0

Domain: all reals, (-∝, ∝)

All inputs for x result in a solution.

You might be interested in

Suppose that 10% of the undergraduates at a certain university are foreign students, and that 25% of the graduate students are f

Deffense [45]

Answer:

0.6154 = 61.54% probability that the student is an undergraduate

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Foreign

Event B: Undergraduate.

There are four times as many undergraduates as graduate students

So 4/5 = 80% are undergraduate students and 1/5 = 20% are graduate students.

Probability the student is foreign:

10% of 80%

25% of 20%. So

$P(A) = 0.1*0.8 + 0.25*0.2 = 0.13$

Probability that a student is foreign and undergraduate:

10% of 80%. So

$P(A \cap B) = 0.1*0.8 = 0.08$

What is the probability that the student is an undergraduate?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.08}{0.13} = 0.6154$

0.6154 = 61.54% probability that the student is an undergraduate

8 0

3 years ago

Rayshawn has a certain amount of money if he spends $20 then he has 1/3 of the original amount how much money did Rayshawn have

erik [133]

Answer:

Rayshawn originally had $30.

Step-by-step explanation:

i) Rayshawn has a certain amount of money. Let us say this amount is $x.

ii) Rayshawn spends $20 which means that he is left with $(x - 20)

iii) it is also given that amount of money left after spending $20 is $\dfrac{1}{3}$ of the original amount, $x, the amount remaining is $\dfrac{\$x}{3}$ .

iv) from the information given in ii) and iii) we get

$(x - 20) = $\dfrac{\$x}{3}$ , Therefore we get 3x - 60 = x , therefore 2x = 60,

Therefore x = $30. Rayshawn originally had $30.

7 0

3 years ago

(1/3)•(-2) = ?<br><br> Please answer ASAP!! :)

Andre45 [30]

Answer:

-.6 repeating

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

a production manager tests 10 toothbrushes and finds that their mean lifetime is 450 hours. she then designs a sales package for

Scorpion4ik [409]

The answer was "Probability-based inference", you got apex too?

6 0

3 years ago

Read 2 more answers

Enlarge the triangle by scale factor 1.5 using (4,4)<br> as the center of enlargement.

maria [59]

Answer:

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.

Dilation is the enlargement or reduction of the size of a figure. If a point A(x, y) is dilated about the center of origin by a factor k, the new point is at A'(kx, ky)

If a point A(x, y) is dilated about the point (a,b) by a factor k, the new point is at A'(k(x - a) + a, k(y - b) + b)

From the image the vertex of the triangle is at (0,0), (-2, 4) and (-2, 0). If the triangle is enlarged by scale factor 1.5 using (4,4) as the center of enlargement.. Hence the new points are:

For (0,0): (1.5(0 - 4) + 4, 1.5(0 - 4) + 4) = (-2, -2)

For (-2,4): (1.5(-2 - 4) + 4, 1.5(4 - 4) + 4) = (-5, 4)

For (-2, 0): (1.5(-2 - 4) + 4, 1.5(0 - 4) + 4) = (-5, -2)

8 0

3 years ago