1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sergey [27]
3 years ago
7

The range of a relation is

Mathematics
2 answers:
Kruka [31]3 years ago
3 0
The range of a relation is the possible output values, the y-values.
maria [59]3 years ago
3 0

Answer:

Range of Relation is ,set of all Second elements of an Ordered Pair.

  For, a Set of Ordered Pair represented in terms of  (a,b)

→Set of all (First Element =a) is called Domain of the relation.

→Set of all (Second Element =b) is called Range of the relation.

You might be interested in
What is the equation of the midline of the sinusoidal function?
Novosadov [1.4K]

Answer:

-3

Step-by-step explanation:

3 0
2 years ago
11. Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is F(x) 5 5 0 x , 0
NISA [10]

Question not properly presented

Let X denote the amount of time a book on two-hour reserve is actually checked out, and suppose the cdf is F(x)

0 ------ x<0

x²/25 ---- 0 ≤ x ≤ 5

1 ----- 5 ≤ x

Use the cdf to obtain the following.

(a) Calculate P(X ≤ 4).

(b) Calculate P(3.5 ≤ X ≤ 4).

(c) Calculate P(X > 4.5)

(d) What is the median checkout duration, μ?

e. Obtain the density function f (x).

f. Calculate E(X).

Answer:

a. P(X ≤ 4) = 16/25

b. P(3.5 ≤ X ≤ 4) = 3.75/25

c. P(4.5 ≤ X ≤ 5) = 4.75/25

d. μ = 3.5

e. f(x) = 2x/25 for 0≤x≤2/5

f. E(x) = 16/9375

Step-by-step explanation:

a. Calculate P(X ≤ 4).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(X ≤ 4) = F(x) {0,4}

P(X ≤ 4) = x²/25 {0,4}

P(X ≤ 4) = 4²/25

P(X ≤ 4) = 16/25

b. Calculate P(3.5 ≤ X ≤ 4).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(3.5 ≤ X ≤ 4) = F(x) {3.5,4}

P(3.5 ≤ X ≤ 4) = x²/25 {3.5,4}

P(3.5 ≤ X ≤ 4) = 4²/25 - 3.5²/25

P(3.5 ≤ X ≤ 4) = 16/25 - 12.25/25

P(3.5 ≤ X ≤ 4) = 3.75/25

(c) Calculate P(X > 4.5).

Given that the cdf, F(x) = x²/25 for 0 ≤ x ≤ 5

So, we have

P(4.5 ≤ X ≤ 5) = F(x) {4.5,5}

P(4.5 ≤ X ≤ 5) = x²/25 {4.5,5}

P(4.5 ≤ X ≤ 5)) = 5²/25 - 4.5²/25

P(4.5 ≤ X ≤ 5) = 25/25 - 20.25/25

P(4.5 ≤ X ≤ 5) = 4.75/25

(d) What is the median checkout duration, μ?

Median is calculated as follows;

∫f(x) dx {-∝,μ} = ½

This implies

F(x) {-∝,μ} = ½

where F(x) = x²/25 for 0 ≤ x ≤ 5

F(x) {-∝,μ} = ½ becomes

x²/25 {0,μ} = ½

μ² = ½ * 25

μ² = 12.5

μ = √12.5

μ = 3.5

e. Calculating density function f (x).

If F(x) = ∫f(x) dx

Then f(x) = d/dx (F(x))

where F(x) = x²/25 for 0 ≤ x ≤ 5

f(x) = d/dx(x²/25)

f(x) = 2x/25

When

F(x) = 0, f(x) = 2(0)/25 = 0

When

F(x) = 5, f(x) = 2(5)/25 = 2/5

f(x) = 2x/25 for 0≤x≤2/5

f. Calculating E(X).

E(x) = ∫xf(x) dx, 0,2/5

E(x) = ∫x * 2x/25 dx, 0,2/5

E(x) = 2∫x ²/25 dx, 0,2/5

E(x) = 2x³/75 , 0,2/5

E(x) = 2(2/5)³/75

E(x) = 16/9375

4 0
2 years ago
When purchasing a house you need to pay the real estate company 4.5 of the total price if the house sells for 130,000 how much m
Lynna [10]

Answer:

$5,850

Step-by-step explanation:

4.5% = 0.045

0.045 x 130,000 = 5850

3 0
3 years ago
Can someone help me with this? I don’t need an explanation I just need the answer thank you :)
Fittoniya [83]

Answer:

87.92 in²

Step-by-step explanation:

pi × (R² - r²) = area

Where R is the radius of the outer circle and r of the inner circle.

Since C = 2pi×r

37.68 = 2×3.14×r

r = 6 in

R = 6 + 2 = 8 in

Therefore,

pi × (R² - r²) = area

Area = 3.14 (8² - 6²)

= 87.92 in²

5 0
3 years ago
What is the exact circumference of the circle?
san4es73 [151]

Answer:

50.24

Step-by-step explanation:

Take the diameter and multiply by 3.14 so 16 times 3.14

5 0
3 years ago
Read 2 more answers
Other questions:
  • Part A: Solve −np − 70 &lt; 40 for n. Show your work. (4 points) Part B: Solve 4w − 7k = 28 for k. Show your work. (6 points
    15·1 answer
  • 5/6+5/6 show your work
    7·1 answer
  • Now, make one final coaster that has the works! Include each of the following: A "swoop" down through the x-axis at x = 300. (Th
    15·2 answers
  • Can any body tell me the last 2 answers please <br>the last box and the cicle next to it
    11·2 answers
  • One quart is approximately equal to 0.95 liter. To convert quarts to liters, which operation should you use?
    12·1 answer
  • What type of decimal is this fraction: 11/20
    10·1 answer
  • One customer purchases 8 bags of cat food and 2 bags of dog food. The total weight of the purchase is 44 pounds. Another custome
    15·1 answer
  • A) Table Mountain is 1085 meters above sea level is it a positive or negative integer ​
    10·1 answer
  • Find the volume of the composite solid.<br> 4 ft<br> 3 ft<br> 6 ft<br> 13<br> 6 ft
    10·2 answers
  • Find KL. Round to the nearest hundredth.<br> d<br> Sut of<br> .1.3<br> 48<br> L
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!