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3 years ago

Need help with this one please! Will give thanks and brainliest to correct answer.

Mathematics

2 answers:

Vladimir [108]3 years ago

5 0

2√54 + 5√24 = 16√6.....

Savatey [412]3 years ago

4 0

The answer is
$\sqrt {6}$

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What is the circumference of a circle with a diameter of 3 cm? (Use 3.14 as pi)

hoa [83]

Answer:

circumference=9.42

Step-by-step explanation:

the formula for circumference is pi x diameter.

4 0

4 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

Evaluate 6 x (15 - 7) - 4 A: 10 B: 24 C: 44 D: 79

Svet_ta [14]

First Of All Please Follow This
PEMDAS

P: ()
E:^
M:x
D:/
A:+
S:-

6 x (15 - 7) - 4
6 x (8) - 4
48 - 4
44

Answer: C

6 0

3 years ago

Read 2 more answers

-3 1/2 + -2 + 4 1/4 = ????

mylen [45]

Answer:

-1 1/4

Step-by-step explanation:

6 0

3 years ago

Kameron walks 3 miles in 18 minutes.how many can kameron walk in 120 minutes

Pani-rosa [81]

Answer:

Step-by-step explanation:

start by dividing 18 from 120(to find the amount of 18's in 120)

120 / 18 = 6.6

meaning there are 6.6 sets of 18 in 120

multiply 3 by 6.6(since there's 3 miles for every 18 minutes)

3 x 6.6 = 20

6 0

3 years ago