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3 years ago

Expand the logarithm: log3 3xy^2z^5

Mathematics

1 answer:

ioda3 years ago

7 0

Answer:

2log(3) + log(x) + 2log(y) + 5log(z)

Hope this helps(:

Step-by-step explanation:

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The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party,

Mama L [17]

Answer:

$(a)\ P(x = 0) = 0.2725$

$(b)\ P(x \ge 1) =0.7275$

$(c)\ P(x \le 2) = 0.8948$

Step-by-step explanation:

Given

$n = 8$ --- 8 friends

$p = 15\%$ --- proportion that one-time fling

This question is an illustration of binomial probability, and it is represented as:

$P(X = x) = ^nC_x* p^x * (1 - p)^{n-x}$

Solving (a): P(x = 0) --- None has done one time fling

$P(x = 0) = ^8C_0* (15\%)^0 * (1 - 15\%)^{8-0}$

$P(x = 0) = 1* 1 * (1 - 0.15)^{8}$

$P(x = 0) = 0.85^8$

$P(x = 0) = 0.2725$

Solving (b): $P(x \ge 1)$

To do this, we make use of compliment rule:

$P(x = 0) + P(x \ge 1) =1$

Rewrite as:

$P(x \ge 1) =1 - P(x = 0)$

$P(x \ge 1) =1 - 0.2725$

$P(x \ge 1) =0.7275$

Solving (c): $P(x\le 2)$ --- Not more than 2 has one time fling

This is calculated as:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

We have:

$P(x = 0) = 0.2725$

$P(x = 1) = ^8C_1* (15\%)^1 * (1 - 15\%)^{8-1}$

$P(x = 1) = 8* (0.15) * (1 - 0.15)^7$

$P(x = 1) = 0.3847$

$P(x = 2) = ^8C_2* (15\%)^2 * (1 - 15\%)^{8-2}$

$P(x = 2) = 28* (0.15)^2 * (1-0.15)^6$

$P(x = 2) = 0.2376$

So:

$P(x\le 2) = P(x = 0) + P(x =1) + P(x = 2)$

$P(x \le 2) = 0.2725 + 0.3847 + 0.2376$

$P(x \le 2) = 0.8948$

4 0

3 years ago

Which situation can be modeled by the equation 705 – m= 430? help !!!!

777dan777 [17]

Real world example could be:
Consider x is time in minutes
Consider y is the amount of fish food required in grams

The equation could then represent how much food (in grams) that a fish needs to be fed x minutes after it was previously fed.

6 0

3 years ago

Read 2 more answers

What is 1+4=5 2+5=12 3+6=21 what does 8 plus 11 equal

Paladinen [302]

This is a classic math problem, and it is not solved in a normal way.

1+4=5
2+5=12
3+6=21
8+11=?

There is a pattern that can be spotted. 2+5 does not equal twelve, however 2*(2+5) does equal 12. Below is how to solve the rest of the equations:

1+4=5 -> 1*(4+1)=5
2+5=12 -> 2*(5+1)=12
3+6=21 -> 3*(6+1)=21 
8+11=? -> 8*(11+1)=96

This is one way to answer the problem, HOWEVER there is another way to answer the problem that gives the SAME answer, but many people mistakenly believes it gives a different answer. If anyone tries to post the other way of doing this problem, but tells you the answer is 40, please comment on this post or message me and let me know. I will explain why the answer is actually 96 either way.

4 0

3 years ago

I need help with this iready question

Ad libitum [116K]

Answer:

64%

Step-by-step explanation:

The percent that was plastic is the plastic over the total * 100 %

percent plastic = 16/25 *100%

= .64 *100%

64%

7 0

3 years ago

The square of a certain negative number is equal to five more than one-half of that number. What is the number?

Goryan [66]

The answer is -2 yes das right

5 0

3 years ago