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arsen [322]
3 years ago
6

On average, 75% of the days in Henderson county are sunny, with little or no cloud cover. Describe a model that you could use to

find experimental probability of sunny days each day for a week in Henderson county.
Mathematics
2 answers:
user100 [1]3 years ago
8 0
<span>One <u>possible model</u><span> is:

You could place 3 red marble and 1 blue marble in a bag. The probability of drawing a red marble would be 3/4, which is 75%; this means red marbles would be sunny days and blue marbles would be cloudy days.

Each draw out of the bag would represent one day of the week. Draw a marble 7 times, replacing it after each draw. This would represent the weather for the days of the week.</span></span>
Luden [163]3 years ago
4 0
We have that the probability to have a sunny day is approximately 75%. Hence, the probability that we have 2 sunny days in a row is 75%* 75% (we are kind of assuming that the weather of a day plays no role on the weather of the next day, which is not completely true). That is because for it to 2 sunny days, both days have to be sunny. It is analogous to a coinflip; the chance we get 2 heads is 50%*50%, the chance we get 3 heads is 50%*50%*50% and so on. Hence, we have that the chance that a week is sunny in the county is 75% to the seventh power. This yields that the chance is around 13.3%

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3 years ago
30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
mars1129 [50]

Answer:

1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},

Step-by-step explanation:

1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}

2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}

3. This problem incorporates an exponent property.

Exponent property used: a^b\cdot a^c=a^{(b+c)}, yielding an answer of \boxed{5}

4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}

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3 years ago
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