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NikAS [45]
3 years ago
13

Steve makes the tree diagram shown below to find the possible outcomes of tossing a penny, a nickel, and a dime. What is the pro

bability that all three coins land on the same side?

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0
The answer is B) 1/4.

There are 2 outcomes in his tree that have all coins with the same side up:  HHH and TTT.  There are 8 total outcomes.  This makes the probability 2/8 = 1/4.
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Answer:

2\pi(e^2-e^{-4})

Step-by-step explanation:

We are given: f(x)=2e^x

So, the integral will be used to calculate the volume.

V = \pi\int\limits^1_{-2}(2e^x)^2dx=\pi\int\limits^1_{-2}4e^{2x}dx=2\pi e^{2x}|^1_{-2} =2\pi(e^2-e^{-4})

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2/3

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8 0
1 year ago
Can you please help me on questions 4-6 thank you
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5 0
3 years ago
A sample of size 200 will be taken at random from an infinite population. given that the population proportion is 0.60, the prob
Musya8 [376]

Let p be the population proportion. <span>
We have p=0.60, n=200 and we are asked to find P(^p<0.58). </span>
The thumb of the rule is since n*p = 200*0.60 and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is considered to be large and hence the sampling distribution of sample proportion-^p will follow the z standard normal distribution. Hence this sampling distribution will have the mean of all sample proportions- U^p = p = 0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] = √[0.60*(1-0.60)/200] = √0.0012. 
So, the probability that the sample proportion is less than 0.58 
= P(^p<0.58) 
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0... 
= P(z<-0.58) 
= P(z<0) - P(-0.58<z<0) 
= 0.5 - 0.2190 
= 0.281 
<span>So, there is 0.281 or 28.1% probability that the sample proportion is less than 0.58. </span>

4 0
3 years ago
Express a^6n/a^3n with positive exponents
Nat2105 [25]
I hope this helps you





a^6n-3n



a^3n
7 0
3 years ago
Read 2 more answers
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