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3 years ago

Only 5-8 It’s Probability

Mathematics

1 answer:

andrey2020 [161]3 years ago

3 0

For starters, the probability of finding any of these colors is a 50/50 type of thing, or in this case, an equal quarter. So each would be 1/4, or 25%. Unless, of course, they're lying about having one or more colors of marbles in their possession. But I'm answering under the assumption that they're not.

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Given that f(x) = 4x√3x + 3 and g(x) = 2√x+1, find (f/g)(x)

Tresset [83]

Answer:

$2x\sqrt{3}.$

Step-by-step explanation:

$\frac{f}{g}(x)=\frac{4x\sqrt{3x+3}}{2\sqrt{x+1}}=\frac{2*2*x*\sqrt{3}*\sqrt{x+1}}{2*\sqrt{x+1}}=2x\sqrt{3}.$

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2 years ago

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r-ruslan [8.4K]

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2 years ago

How much do you save per class by taking the longer-term class: Weight Training, $200 for 18 weeks (54 classes) or $350 for 36 w

Vsevolod [243]

<u>Shorter term class:</u>

You pay $200 for 54 classes in total. So,

$\frac{200}{54} =3.704$ dollars per class (rounded to 3 decimal places)

<u>Longer term class:</u>

You pay $350 for 108 classes in total, So,

$\frac{350}{108} =3.241$ dollars per class (rounded to 3 decimal places)

Hence, by taking longer term classes, you save around $3.704-3.241=0.463$ dollars.

Rounding to 2 decimal places, you save $0.46 per class.

ANSWER: You save $0.46 per class.

5 0

3 years ago

Read 2 more answers

8000$ is invested in an account the yields 6% interest per year. After how many years will the account worth 13709.60$ if the in

ozzi

Answer:

After 9 years the account will be worth 13709.60$

Step-by-step explanation:

We are given the following in the question:

We are given the following in the question:

P = $8000

r = 6% = 0.046

n = 12

The compound interest is given by:

$A = p\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

where A is the amount, p is the principal, r is the interest rate, t is the time in years.

Putting the values, we get,

$13709.60 = 8000\bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\dfrac{13709.60}{8000} = \bigg(1+\dfrac{0.06}{12}\bigg)^{12t}\\\\\Rightarrow 1.7137 = (1.005)^{12t}\\\Rightarrow t \approx 9$

Thus, after 9 years the account will be worth 13709.60$

5 0

3 years ago

Read 2 more answers

When Anna was born 16 years ago, her small town of Lewisville had a population of 15,000. The population has increased 11% each

Alex17521 [72]

15.000 ÷ 100

150 = 1%

1650 = 11%

1650 x 16 = 26.400

26.400 + 15.000 = 41.400

So 41.400 is the population number now.

7 0

3 years ago