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Nastasia [14]
1 year ago
14

Which is a graph of the following?

Mathematics
1 answer:
maks197457 [2]1 year ago
4 0

The graph of the function f(x) = [x² if x ≤ 2] [x + 4 if x > 2]

<h3>How to determine the graph of the function?</h3>

From the question, we have the following parameters that can be used in our computation:

f(x) = [x² if x ≤ 2] [x + 4 if x > 2]

The above function is a piecewise function, and it can be split as follows:

f(x) = [x² if x ≤ 2]

f(x) = [x + 4 if x > 2]

The domain x ≤ 2 in f(x) = [x² if x ≤ 2]  means that:

The x values stop at 2 (i.e. 2 inclusive)

The domain x > 2 in f(x) = [x + 4 if x > 2] means that:

The x values starts at a value greater than 2 (i.e. 2 exclusive)

This is represented by the graph (d) with the open and closed circles

Hence, the graph is graph d

Read more about piecewise function at

brainly.com/question/27262465

#SPJ1

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What is the percent change of 36;63
STatiana [176]
First, find the difference.
63-36=27
Then, divide by the original number.
27/36=0.75
Then, put it in percentage form.
75%
7 0
3 years ago
What is the explicit rule for the arithmetic sequence shown in the graph?
Harman [31]

Answer:

a(n) = 9.5 + 2(n - 1)

Step-by-step explanation:

Observe that each new term is obtained by adding 2 to the previous term.  Thus, the common difference is 2 and the first term is 9.5.

Then a(n) = 9.5 + 2(n - 1)

3 0
3 years ago
According to Harper's Index, 40% of all federal inmates are serving time for drug dealing. A random sample of 20 federal inmates
loris [4]

Answer:

(a) P(X≥10) = 0.245

(b) P(X≤5) = 0.125

(c) The expected number of inmates who are serving time for drug dealing is 8.

Step-by-step explanation:

We will use the binomial distribution to solve this problem. Let X be the number of federal inmates who are serving time for drug dealing. We will use the binomial probability formula:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total number of federal inmates

           x = no. of federal inmates who serve time for drug dealing

           p = probability that a federal inmate is serving time for drug dealing

           q = probability that a federal inmate is not serving time for drug dealing

(a) P(X≥10) = 1 - P(X<10)

                 = 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X=8) + P(X=9)]

                = 1 - [²⁰C₀(0.4)⁰(0.6)²⁰⁻⁰ + ²⁰C₁(0.4)¹(0.6)²⁰⁻¹ + ²⁰C₂(0.4)²(0.6)²⁰⁻² + ²⁰C₃(0.4)³(0.6)²⁰⁻³ + ²⁰C₄(0.4)⁴(0.6)²⁰⁻⁴ + ²⁰C₅(0.4)⁵(0.6)²⁰⁻⁵ + ²⁰C₆(0.4)⁶(0.6)²⁰⁻⁶ + ²⁰C₇(0.4)⁷(0.6)²⁰⁻⁷ + ²⁰C₈(0.4)⁸(0.6)²⁰⁻⁸ + ²⁰C₉(0.4)⁹(0.6)²⁰⁻⁹

                 = 1 - (0.000036 + 0.00048 + 0.00308 + 0.0123 + 0.0349 + 0.0746 + 0.1244 + 0.1658 + 0.1797 + 0.1597)

                 = 1 - 0.7549

P(X≥10) = 0.245

(b) P(X≤5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

since we have calculated these values in the previous part, we will simply plug them in here and then add them up.

P(X≤5) = 0.000036 + 0.00048 + 0.00308 + 0.0123 + 0.0349 + 0.0746

P(X≤5) = 0.125

(c) For a binomial distribution, the expected value can be calculated as:

μ = np

  = (20)(0.4)

μ = 8

The expected number of inmates who are serving time for drug dealing is 8.

7 0
3 years ago
Still need help please
sergeinik [125]
Number of gallon of water = x
number of gallon to be evaporated = 90 - x
13.5(90 - x) = 0.25

3 0
3 years ago
PLZ HELP QUICK WILL GIVE BRAINLIEST
vladimir2022 [97]

Answer: the length of the needle is 8.49 inches.

Step-by-step explanation:

The diagram of the clear cube is shown in the attached photo. From the diagram, a right angle triangle ABC is formed.

BC represents the diagonal of a face of the cube.

AB represents the the side length of the clear cube.

AB = h represents the length of the needle

To determine AB, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore

AB² = 6² + 6² = 72

AB = √72

AB = 8.49

6 0
4 years ago
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