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3 years ago

If you have a pair of dice and roll one die, what is the probability of rolling an even number? write your answer as a decimal.

2 answers:

7 0

All dices have 3 even numbers and 3 odd numbers so for the first dice, the probability is 3/6, same goes for the second and the third dice. total=9/18 which is half of the time, you will get even numbers.

Natalka [10]3 years ago

6 0

Answer:

3/6 as a decimal it would be .5

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write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)

Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

$log_{4 }6ab$

This can be written as

$log_{4 }6 \times a \times b$

From one of the rules of logarithm, we have that

$log_{x }yz= log_{x }y + log_{x }z$

Thus,

$log_{4 }6 \times a \times b$ becomes

$log_{4 }6 + log_{4 }a + log_{4 }b$

This can be further simplified into

$log_{4 }3 \times 2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b$

If desired, this can be further simplified into

$log_{4 }3 + log_{2^{2} }2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b$

$log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b$

$\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is $\frac{1}{2} +log_{4 }3 + log_{4 }a + log_{4 }b$

Learn more on Simplifying logarithms here: brainly.com/question/17851187

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8 0

1 year ago

Mitch used 1 4 pounds of beef to make 3 4 liters of beef strogonoff. If Mitch's recipe is for 1 liter of beef strogonoff, how ma

iren [92.7K]

option B) 3 pounds of beef is needed to make 6 times the recipe.

<u>Step-by-step explanation</u>:

<u>step 1 </u>:

Mitch used 14 pounds of beef = 34 liters of beef strogonoff

'x' pounds of beef = 1 liter of beef strogonoff

<u>step 2</u> :

Rate = No. of pounds / No. of liters

(14 pounds / 34 liters) = (x pounds / 1 liter)

x = 14/34

x = 0.412

1 liter of beef strogonoff = 0.412 pounds of beef

<u>step 3</u> :

To make 6 times the recipe = 6 $\times$ 0.412

= 2.5 pounds of beef ( approximately 3 pounds)

5 0

3 years ago

How many times can 535 go into 1035

ICE Princess25 [194]

Only once, any number higher will pass it

3 0

2 years ago

Evaluate the 6 trigonometric functions of theta for 540 degrees

Sophie [7]

540 degrees is equivalent to 180 degrees. Cotangent and cosecant are invalid, sine, secant, tangent are all 0 and cosine is -1.

8 0

3 years ago

Which statement about 3 multiplied by 2/3 must be true?

Alla [95]

Step-by-step explanation:

The statement is 3 multiplied by 2/3. Here, the first no of 3 and the other one is 2/3.

It can be written as follows :

$3\times \dfrac{2}{3}$

3 is present at the numerator as well as the denominator. It will cancel out.

So,

So, 3 multiplied by 2/3 equals 2.

5 0

2 years ago