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
Vladimir [108]
3 years ago
10

Which number line shows 485+408?

Mathematics
1 answer:
arsen [322]3 years ago
5 0
What are the number lines
You might be interested in
El 10% de 2cm cubicos
egoroff_w [7]

Answer:

     

Step-by-step explanation:

6 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
3 years ago
what is a number that has a 7 in the hundreds place, an odd number in the thousands place,and is a multiple of 10
maria [59]
Odd numbers end in a 1,3,5,7,9 and the hundreds place is like this blank. _45. It is a multiple of 10 if it ends in a 0.
7 0
3 years ago
20 points and Brainliest !
soldier1979 [14.2K]

Answer:

y = -5/6x + 6

Step-by-step explanation:

Slope intercept form is: y = mx + b

- where m is the slope

- where b is the y-intercept.

The problem already gives you the slope and y-intercept, so all you have to do is put it in for m and b respectively. Therefore, we have:

y = -5/6x + 6

3 0
3 years ago
Read 2 more answers
Amber is solving this problem.
Serhud [2]

Correct choice is 1,260 and 151,200

The product of 252 and 605 is 152,460

In the choice we have to choose from, one or more numbers have to add up to give a total of 152,460.

The choice is actually 1,260 and 151,200 which gives a total of <u>152</u><u>,</u><u>460</u><u>.</u>

8 0
3 years ago
Read 2 more answers
Other questions:
  • Local newspaper company wanted to determine if there is a need for a digital version of their newspaper. They sampled 80 of thei
    7·1 answer
  • find h and k such that the equation 3x^2 -hx +4k =0, so that the sum of the solutions is -12 and the product of the solutions is
    12·1 answer
  • A group of 60 people attended a ball game there were four times as many children as adults in the group set up a system of equat
    12·1 answer
  • A muffin recipe calls for 4 tablespoons of water to make 10 servings. How many tablespoons of water are needed to make 8 serving
    12·1 answer
  • What is n? Stick around for more points
    8·1 answer
  • How many qt are in a gallon
    9·2 answers
  • A digital camera for 249.99 at 4% sales tax
    11·1 answer
  • 1=2323<br> x=2323<br> what will xe be if the eqation is x21=232x2312/232
    11·1 answer
  • P{x:x is a natural number x (9​
    9·1 answer
  • Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!