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eimsori [14]
3 years ago
13

Pleaseeee help i don't understand how to do this

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:

x=\frac{5}{k}

Step-by-step explanation:

Given expression is,

\text{log}_{3^k}243=x

By using the law of logarithm,

(3^k)^x=243

3^{kx}=243

3^{kx}=3^5

By comparing exponents on both the sides of the equation,

kx=5

x=\frac{5}{k}

Therefore, x=\frac{5}{k} will be the answer.

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Type the correct answer in each box. If necessary, use /for the fraction bars
Vikentia [17]

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

6 0
3 years ago
Find the area of a regular hexagon inscribed in a circle with a radius of 6 feet. Round to the nearest tenth.
raketka [301]

Answer:

93.5ft

Step-by-step explanation:

7 0
3 years ago
I NEED THIS ASAP PLZ!
MAVERICK [17]
2.89 i did the test
5 0
2 years ago
Do the ratios 6/1 and 18/3 forma proportion yes or no?
andrezito [222]
I'm pretty sure it's no...
4 0
3 years ago
Could someone please help answer this, please no spam, will give brainliest, thank you!
Jobisdone [24]

Answer:

x>-5

Step-by-step explanation:

\frac{-1}{5} x+1

Subtract 1 from both sides

\frac{-1}{5} x+1-1

Simplify

\frac{-1}{5} x

Multiply both sides by -1, which reverses the inequality also

\frac{-1}{5} x(-1)>1(-1)

Simplify

\frac{1}{5} x>-1

Multiply both sides by 5

5*\frac{1}{5} x>5(-1)

Simplify

x>-5

4 0
2 years ago
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