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2 years ago

1/3 of a number is 12 less than the number itself

1 answer:

5 0

Let "x" be a substitute for "a number"

1/3(x)=x-12 Multiply by 3
x=3x-36 Get n onto the same side of the equation
2x=36 Divide by 2
x=18

That's your answer.

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An arcade booth at a county fair has a person pick a coin from two possible coins available and then toss it. If the coin chosen

nydimaria [60]

Answer:

Step-by-step explanation:

<u>Conditional Probability</u>

Suppose two events A and B are not independent, i.e. they can occur simultaneously. It means there is a space where the intersection of A and B is not empty:

$P(A\cap B) \neq 0$

If we already know event B has occurred, we can compute the probability that event A has also occurred with the conditional probability formula

$\displaystyle P(A|B)=\frac{P(A\cap B)}{P(B)}$

Now analyze the situation presented in the question. Let's call F to the fair coin with 50%-50% probability to get heads-tails, and U to the unfair coin with 32%-68% to get heads-tails respectively.

Since the probability to pick either coin is one half each, we have

$P(U)=P(F)=50\%=0.5$

If we had picked the fair coin, the probability of getting heads is 0.5 also, so

$P(F\cap H)=0.5\cdot 0.5=0.25$

If we had picked the unfair coin, the probability of getting heads is 0.32, so

$P(U\cap H)=0.32\cdot 0.5=0.16$

Being A the event of choosing the fair coin, and B the event of getting heads, then

$P(B)=P(F\cap H)+P(U\cap H)=0.25+0.16=0.41$

$P(A\cap B)=P(F\cap H)=0.25$

$\displaystyle P(A|B)=\frac{0.25}{0.41}=0.61$

The closest answer is

b. 0.6024

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=3%20%5Cdiv%20153%20%3D%20" id="TexFormula1" title="3 \div 153 = " alt="3 \div 153 = " align="a

beks73 [17]

If you're looking for the simplified version of the fraction, you have to factor both numerator and denominator.

The numerator is actually already a prime number, so we're good

The denominator factors as $153 = 3^2\cdot 17$

So, a 3 appears in both numerator and denominator. We can simplify it:

$\cfrac{3}{153} = \cfrac{3}{3^2\cdot 17} = \cfrac{1}{3\cdot 17} = \cfrac{1}{51}$

If you want to compute the approximated value of this fraction, simply plug these values into some calculator to get

$\cfrac{1}{51} \approx 0.0196078431372\ldots$

5 0

3 years ago

Read 2 more answers

Pls help it's fractions

Pavlova-9 [17]

Answer:

Decimal: 0.875

Fraction: 875/1000

Step-by-step explanation:

As with our earlier problem, it turns out that we can reduce this fraction to lowest terms by dividing its numerator and denominator by 125. Doing so, we find that 0.875 = 875/1000 is equivalent to 7/8

Hope this helps!!!! :)

5 0

3 years ago

Read 2 more answers

Two numbers have a sum of 761 and a difference of 335. find the 2 numbers

lubasha [3.4K]

The two numbers would be 548 & 213.

3 0

2 years ago

Can somebody help me please?

Julli [10]

Answer: the answer is E, 8000