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agasfer [191]
3 years ago
10

Which is the graph of f(x)= 4[1/2]^x ?

Mathematics
1 answer:
vivado [14]3 years ago
4 0

Answer:

B

Step-by-step explanation:

A

f(1) = 4*(1/2)^1 = 4/2 = 2

(1,1) is not the same thing.

B

B is the answer.

C

f(0)=4 not 2 C is incorrect. C is not the answer

D

Same problem as C

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How many inches are in a foot then converted into millimeters
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A company is studying the number of monthly absences among its 125 employees. The following probability distribution shows the l
Angelina_Jolie [31]

Answer:

(1)

E(x) = 0.72

Var(x) = 1.1616

\sigma = 1.078

(2)

E(x) = 12

Var(x) = 1.3

\sigma = 1.14

Step-by-step explanation:

Solving (1):

\begin{array}{ccccccc}{Days} & {0} & {1} & {2} & {3} & {4}& {5} \ \\ {Probability} & {0.60} & {0.20} & {0.12} & {0.04} & {0.04} & {0.00} \ \end{array}

(a): Mean

This is calculated as:

E(x) = \sum x * P(x)

So, we have:

E(x) = 0 * 0.60 + 1 * 0.20 + 2 * 0.12 + 3 * 0.04 + 4 * 0.04 + 5 * 0.00

E(x) = 0.72

Solving (b): The variance

This is calculated as:

Var(x) = E(x^2) - (E(x))^2

Where:

E(x) = 0.72

and E(x^2) = \sum x^2 * P(x)

So, we have:

E(x^2) = 0^2 * 0.60 + 1^2 * 0.20 + 2^2 * 0.12 + 3^2 * 0.04 + 4^2 * 0.04 + 5^2 * 0.00

E(x^2) = 1.68

So, we have:

Var(x) = E(x^2) - (E(x))^2

Var(x) = 1.68 - 0.72^2

Var(x) = 1.1616

Solving (c): The standard deviation.

This is calculated as:

\sigma = \sqrt{Var(x)}

\sigma = \sqrt{1.1616}

\sigma = 1.078

Solving (2):

\begin{array}{ccccccc}{x} & {10} & {11} & {12} & {13} & {14}& { } \ \\ {P(x)} & {0.1} & {0.25} & {0.3} & {0.25} & {0.1} & { } \ \end{array}

(a): Mean

This is calculated as:

E(x) = \sum x * P(x)

So, we have:

E(x) = 10 * 0.10 + 11 * 0.25 + 12 * 0.3 + 13 * 0.25 + 14 * 0.1

E(x) = 12

Solving (b): The variance

This is calculated as:

Var(x) = E(x^2) - (E(x))^2

Where:

E(x) = 12

and E(x^2) = \sum x^2 * P(x)

So, we have:

E(x^2) = 10^2 * 0.10 + 11^2 * 0.25 + 12^2 * 0.3 + 13^2 * 0.25 + 14^2 * 0.1

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So, we have:

Var(x) = E(x^2) - (E(x))^2

Var(x) = 145.3 - 12^2

Var(x) = 1.3

Solving (c): The standard deviation.

This is calculated as:

\sigma = \sqrt{Var(x)}

\sigma = \sqrt{1.3}

\sigma = 1.14

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Answer:

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