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
xxTIMURxx [149]
3 years ago
12

Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2.

Mathematics
1 answer:
Anettt [7]3 years ago
3 0

Answer:

a=2

b=6

Step-by-step explanation:

Assuming a uniform distribution and that a ≤ x ≤ b, if f(x) = 1/4, then:

f(x) =\frac{1}{4}=\frac{1}{b-a}\\b-a = 4

If P(X > 4) = 1/2, then:

\frac{1}{2} = 1-(\frac{x-a}{b-a})=1-(\frac{4-a}{4})\\a-4+4 =\frac{1}{2}*4\\ a=2\\b=4+a\\b=6

The values for a and b are, respectively, 2 and 6.

You might be interested in
Write 1.96 ...... as a mixed number in simplest form.
BlackZzzverrR [31]
1 24/25

1.96= 196/100
196/100= 49/25

49-25= 24

1 24/25
3 0
3 years ago
mark purchased a new motorcycle for $23,000. F the value of the motorcycle decreases by 151 each year, what will it be worth in
HACTEHA [7]
151 * 5 = 755
23,000 - 755 = 22,245

It'll be worth $22,245 in 5 years.
4 0
3 years ago
Chris labels every lattice point in the coordinate plane with the square of the distance from the point to the origin (a lattice
stiv31 [10]

Answer:

4 times

Step-by-step explanation:

A lattice point may be defined as the point of intersection of two grid lines or more than two grid lines that is placed in a regularly spaced points arrays. This is called a lattice point.

In the context, Chris tries to label every lattice point in a coordinate plane with its square of distance from the point to its origin. The lattice points means that the numbers are both the integers. So for number 25, Chris has to label 4 times

i.e. (55),(-5,5),(5,-5),(-5,-5)

4 0
3 years ago
The weight of 3 eggs is shown. Identify the constant of proportionally of total weight to number of eggs. The weight of the eggs
HACTEHA [7]
It would be 48g per egg
8 0
3 years ago
In the expression 5x + 15 = 150, you can start solving the problem
Gnoma [55]

Answer:

i think 2x

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • If pencils sell at 6for59,how many pencils can be bought for 2.95
    9·1 answer
  • Worth 10pts can someone help?
    11·1 answer
  • Find the value of x
    5·1 answer
  • 3z - 3<br> when z = 7<br><br> pls respond asap
    6·1 answer
  • Find three consecutive positive integers such that the sum of their squares is 2354. What is the largest integer?
    10·1 answer
  • ANSWER ASAP PLEASE .
    13·2 answers
  • Equat<br> Write linear equations given a graph.<br> 3)<br> 6)<br> 2<br> U<br> 10<br> -4 -3 -2 -1
    10·1 answer
  • 1) Write a multiplication equation that represents the question: How many 2/3 are in 7/8?
    10·1 answer
  • Pan Kowalski wpłacił na lokatę terminową –na 2 lata , kwotę 6000zł, na oprocentowanie 6%. Podatek od zysku z oszczędności wynosi
    12·1 answer
  • The length of a rectangle is shown below:
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!