Examples of spiral motion

Two farmers had a truck. The first farmer paid 4/5 of thr price, in the second paid the rest of his Farmer's share was 9600 what

alex41 [277]

9600 x 5 = 48000
Total price = 48,000

4 0

2 years ago

On any given day, mail gets delivered by either Alice or Bob. If Alice delivers it, which happens with probability 1/4 , she doe

Troyanec [42]

Answer:

(a) The value of fₓ (9.5) is 0.125.

(b) The value of fₓ (10.5) is 0.50.

Step-by-step explanation:

Let X denote delivery time of the mail delivered by Alice and Y denote delivery time of the mail delivered by Bob.

It i provided that:

$X\sim U(9, 11)\\Y\sim U(10, 12)$

The probability that Alice delivers the mail is, p = 1/4.

The probability that Bob delivers the mail is, q = 3/4.

The probability density function of a Uniform distribution with parameters [a, b] is:

$f(x)=\left \{ {{\frac{1}{b-a};\ a, b>0} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Alice is:

$f(X_{A})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[9, 11]} \atop {0;\ otherwise}} \right.$

The probability density function of the delivery time of Bob is:

$f(X_{B})=\left \{ {{\frac{1}{b-a}=\frac{1}{2};\ [a, b]=[10, 12]} \atop {0;\ otherwise}} \right.$

(a)

Compute the value of fₓ (9.5) as follows:

For delivery time 9.5, only Alice can do the delivery because Bob delivers the mail in the time interval 10 to 12.

The value of fₓ (9.5) is:

$f_{X}(9.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times0)\\=\frac{1}{8}\\=0.125$

Thus, the value of fₓ (9.5) is 0.125.

(b)

Compute the value of fₓ (10.5) as follows:

For delivery time 10.5, both Alice and Bob can do the delivery because Alice's delivery time is in the interval 9 to 11 and that of Bob's is in the time interval 10 to 12.

The value of fₓ (10.5) is:

$f_{X}(10.5)=p.f(X_{A})+q.f(X_B})\\=(\frac{1}{4}\times \frac{1}{2})+(\frac{3}{4}\times\frac{1}{2})\\=\frac{1}{8}+\frac{3}{8}\\=0.50$

Thus, the value of fₓ (10.5) is 0.50.

5 0

3 years ago

Please help! I will give brainlist, if I can

Shtirlitz [24]

It is B glad I could help!

3 0

2 years ago

Read 2 more answers

Given m∥n .

frosja888 [35]

Answer: heres the answer for future people lel

8 0

3 years ago

Mount Belinda is the highest point in the South Sandwich Islands, with a peak of 1,370 meters above sea level. The South Sandwic

AveGali [126]

Question is not complete. Complete question is;

Mount Belinda is the highest point in the South Sandwich Islands, with a peak at about 1,370 meters above sea level. The South Sandwich Trench, which lies about 100 kilometers (62 miles) to the east of the South Sandwich Islands, is about 8,428 meters below sea level (at its lowest point).

Part A: What is the difference in elevations between Mount Belinda and the South Sandwich Trench?

Part B: Is the elevation halfway between the peak of Mount Belinda and the South Sandwich Trench above sea level or below sea level? Give your explanation without calculating the exact value.

Part C: What elevation is halfway between the peak Mount Belinda and the South Sandwich Trench?

Answer:

A) 100478.86 metres

B) Explained below.

C) 50239.43 metres

Step-by-step explanation:

I have attached an image showing the elevations as depicted in the question.

MB represents peak of Mount Belinda while SS represents lowest point of South Sandwich Islands.

A) Now, total vertical distance from peak of MB to lowest point of SS is;

8428 + 1370 = 9798 metres

Since the horizontal distance between MB and SS is 100000 metres, then we can use pythagoras theorem to find the Elevation between MB and SS.

If the Elevation is x.

Thus;

x = √(9798² + 100000²)

x = 100478.86 metres

B) The Elevation between peak of MB and lowest point of SS will be halfway below the sea level because the distance from the lowest point of SS from the sea level is 5 times bigger than the distance from peak of MB to the sea level.

C) The halfway Elevation between peak MB and lowest SS will be;

100478.86/2 = 50239.43 metres

3 0

3 years ago

Examples of spiral motion​

Examples of spiral motion