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kicyunya [14]
3 years ago
5

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:

40

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
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