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Elena L [17]
3 years ago
11

Identify the domain of the function pictured below.

Mathematics
1 answer:
USPshnik [31]3 years ago
7 0
Can you attach the picture of the function please?
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Suppose f(x) = 1/4 over the range a ≤ x ≤ b, and suppose P(X > 4) = 1/2.
Anettt [7]

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.

3 0
3 years ago
Brinn's rectangular kitchen has an area of 81 square feet. the kitchen is 9 times as many square feet as Brinn's pantry. If the
elixir [45]
3 feet, you divide 81 by 9 and you get the square feet of the pantry, then you divide that by 3
7 0
3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 16 + 2x − x^2, [0, 5]
RSB [31]

Answer:

<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>

Step-by-step explanation:

To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.

at x = 0;

f(0) =  16 + 2(0) − 0²

f(0) = 16

at the other end point i.e at x = 5;

f(5) =  16 + 2(5) − 5²

f(5) = 16 + 10-25

f(5)= 26-25

f(5) = 1

The absolute minimum value is 1  and  occurs at x  = 5

The absolute maximum value is 16 and  occurs at x  = 0

5 0
3 years ago
How do I Simplify (5x-2)4 using the distributive property?
BartSMP [9]

Answer:

20x - 8

Step-by-step explanation:

using the distributive property to simplify (5x-2)4, you would multiply the outside term (4) by each inside term (5x-2).

for example:

4 × 5x = 20x

4 × -2 = -8

once you distribute the 4 into 5x-2, you are left with 20x - 8 which needs no further simplifying

4 0
3 years ago
Read 2 more answers
You need to write an essay that has at least 500 words. You have written 285 words so far. Write and solve an inequality that re
BabaBlast [244]

Answer:

The minimum number of words left to write is 215

Step-by-step explanation:

Let

w -----> the number of words left to write

we know that

The number of words left to write plus the words written so far must be greater than or equal to 500 words

Remember that the word "at least" means "greater than or equal to"

w+285\geq 500

Solve for w

Subtract 285 both sides

w\geq 500-285\\w\geq 215

The minimum number of words left to write is 215

4 0
4 years ago
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