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3 years ago

What is logs4 + logs3 written as a single logarithm? If possible, simplify the single logarithm.

Mathematics

2 answers:

stepan [7]3 years ago

8 0

Answer:

I"m not sure if you wrote it the write way, but the answer is probably C

Step-by-step explanation:

log(a)+log(b)=log(ab)

This can be proven when you look at what a logarithm is.

solmaris [256]3 years ago

6 0

Answer:

the answer is log(12s^2) which equals

Step-by-step explanation:

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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

4 years ago

What is 0.9 written as a percent

ryzh [129]

0.9 = 90%.

<span>0.9 in percent = 0.9 x 100% = 90%</span>

3 0

3 years ago

Read 2 more answers

A board game has 26 tiles labeled with alphabet letters. Players draw 1 tile at a time. Over 260 different drawings, how many ti

Nastasia [14]

Answer: The probablty is is 41221/26 or 0.00669%

Step-by-step explanation:

Drawing tiles from the bag at one time is mathematically equivalent to drawing one tile 4 times inculding the vowel, without replacement.

If we get one of these 4 letters on draw 1, then on draw 2, we'll have 3 possible successful draws out of the 25 tiles left.

This pattern continues down to draw 4. Since each draw is independent, we just multiply the probabilities together:

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3 years ago

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Which describes the translation of f(x) to g(x)? translation of four units up translation of five units up translation of four u

Jet001 [13]

Answer:

Option (1)

Step-by-step explanation:

Given question is incomplete; find the picture of the graph in the attachment.

Parent function f(x) = $\frac{1}{2^x}$

When function 'f' is translated by 4 units up which is evident form the graph, the translated function obtained is,

g(x) = f(x) + 4

g(x) = $\frac{1}{2^x}+4$

Therefore, Option (1). [Translation of 4 units up] is defined by the graph attached.

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4 years ago

A cold front moved in last weekend. In 8 hours overnight the temperature outside dropped 24 degrees. What was the average temper

andre [41]

For this question, we can divide both numbers by 8, as they are both divisible by 8. Then, we will be left with our answer, which will be a 3 degree drop every hour.

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4 years ago