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3 years ago

Calculate the pay for the following day of a

Mathematics

1 answer:

Juliette [100K]3 years ago

4 0

Answer:

$74.25

Step-by-step explanation:

Morning shift is 4 hours long and pay is 11 dollars per hour:

4*11= 44

Afternoon shift is 2 hour 45 min long 11 dollars per hour:

2.75*11= 30.25

Add both:

44+30.25=$74.25

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Suppose we roll a fair die and let X represent the number on the die. (a) Find the moment generating function of X. (b) Use the

Likurg_2 [28]

Answer:

(a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{2 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

Step-by step explanation:

Given X represents the number on die.

The possible outcomes of X are 1, 2, 3, 4, 5, 6.

For a fair die, $P(X)=\frac{1}{6}$

(a) Moment generating function can be written as $M_{x}(t)$ .

$M_x(t)=\sum_{x=1}^{6} P(X=x)$

$M_{x}(t)=\frac{1}{6} e^{t}+\frac{1}{6} e^{2 t}+\frac{1}{6} e^{3 t}+\frac{1}{6} e^{4 t}+\frac{1}{6} e^{5 t}+\frac{1}{6} e^{6 t}$

$M_x(t)=\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$

(b) Now, find $E(X) \text { and } E\((X^{2})$ using moment generating function

$M^{\prime}(t)=\frac{1}{6}\left(e^{t}+2 e^{2 t}+3 e^{3 t}+4 e^{4 t}+5 e^{5 t}+6 e^{6 t}\right)$

$M^{\prime}(0)=E(X)=\frac{1}{6}(1+2+3+4+5+6)$

$\Rightarrow E(X)=\frac{21}{6}$

$M^{\prime \prime}(t)=\frac{1}{6}\left(e^{t}+4 e^{2 t}+9 e^{3 t}+16 e^{4 t}+25 e^{5 t}+36 e^{6 t}\right)$

$M^{\prime \prime}(0)=E(X)=\frac{1}{6}(1+4+9+16+25+36)$

$\Rightarrow E\left(X^{2}\right)=\frac{91}{6}$

Hence, (a) moment generating function for X is $\frac{1}{6}\left(e^{t}+e^{2 t}+e^{3 t}+e^{4 t}+e^{5 t}+e^{6 t}\right)$ .

(b) $\mathrm{E}(\mathrm{X})=\frac{21}{6} \text { and } E\left(X^{2}\right)=\frac{91}{6}$

6 0

3 years ago

A Baker made 2 batches of chocolate chip cookies in it . Then he mad and additional 5 oatmeal cookies just in case someone did n

lyudmila [28]

Answer: 29 cookies

Step-by-step explanation:

Judging that a "batch" is a dozen which is 12 then...

12 + 12 + 5 = 29

Hope this helps!!! Good luck!!! ;)

4 0

3 years ago

Y = 4x - 5 + 3 The domain of this function is . The range of this function is .

Katen [24]

Answer:

Negative infinity to infinity, 3 to infinity.

5 0

2 years ago

Read 2 more answers

Find the value of z.

Radda [10]

Answer:

Step-by-step explanation:

210-x=50×2

or, 210-x=100

or, x=210-100

or, x=110

so,

z = 360-210-110

or, z = 40

7 0

3 years ago

During a shark week

bearhunter [10]

Answer:

25 feet

Step-by-step explanation:

Multiply 2.5 and 10

8 0

3 years ago