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3 years ago

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Mathematics

1 answer:

julia-pushkina [17]3 years ago

6 0

The 38th term in the sequence is -51

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SOMEONE ON THIS PLANET PLEASE HELP

GenaCL600 [577]

Answer:

38*

Step-by-step explanation:

4 0

3 years ago

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

4 years ago

George measured his heart rate after jogging he counted 11 beats are in a six second interval what was the unit rate for George’

alina1380 [7]

Answer:

110beats/minutes

Step-by-step explanation:

we know we have 11 beats every 6 seconds,

that implies that there are 110 beats every 60seconds

and 60secs is a minute

that means 110beats/mins

8 0

3 years ago

Evaluate the expression for the given values.

Igoryamba

Answer:

a is 39

b is 57

Step-by-step explanation:

you were given two different expressions to substitute.

the first one is p = 8 and d = 1/7

so we substitute into 5p - 7d

that is 5(8) - 7(1/7)

we get 40 - 1

which if we go ahead to evaluate we get 39

The second one p = 3 and d = -6

so we get 5(3) - 7(-6)

we get 15 - (-42)

if we go ahead to evaluate we get 15 + 42

two negative meeting each other gives you positive.

then it going too be 57

7 0

2 years ago

Evaluate without using a mathematical table<br>1000(√0.0128÷200) <br>

lapo4ka [179]

Answer:

0.5656854249

Step-by-step explanation:

1000(0.0128/200)

1000(0.11314/200)

1000(0.0005656854)

=0.5656854249

5 0

2 years ago