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emmainna [20.7K]
3 years ago
11

What is the rate of change?

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
8 0

Answer:

25m

Step-by-step explanation:

Jlenok [28]3 years ago
4 0

Answer:

The answer is 50 miles per day

Step-by-step explanation:

becasue you started at that point and went up 50 each time.

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For the following represent the sample space in set notation and sate how many outcomes are
Sphinxa [80]

Answer:

I got blue 3 and green 7

Step-by-step explanation:

why it is blue 3 is because there are 3 of the blue and for the green there are 4 it landed on the 3 green and that was the 7th one

3 0
3 years ago
Find the mean, variance &a standard deviation of the binomial distribution with the given values of n and p.
MrMuchimi
A random variable following a binomial distribution over n trials with success probability p has PMF

f_X(x)=\dbinom nxp^x(1-p)^{n-x}

Because it's a proper probability distribution, you know that the sum of all the probabilities over the distribution's support must be 1, i.e.

\displaystyle\sum_xf_X(x)=\sum_{x=0}^n\binom nxp^x(1-p)^{n-x}=1

The mean is given by the expected value of the distribution,

\mathbb E(X)=\displaystyle\sum_xf_X(x)=\sum_{x=0}^nx\binom nxp^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^nx\frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle\sum_{x=1}^n\frac{n!}{(x-1)!(n-x)!}p^x(1-p)^{n-x}
\mathbb E(X)=\displaystyle np\sum_{x=1}^n\frac{(n-1)!}{(x-1)!((n-1)-(x-1))!}p^{x-1}(1-p)^{(n-1)-(x-1)}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\frac{(n-1)!}{x!((n-1)-x)!}p^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^n\binom{n-1}xp^x(1-p)^{(n-1)-x}
\mathbb E(X)=\displaystyle np\sum_{x=0}^{n-1}\binom{n-1}xp^x(1-p)^{(n-1)-x}

The remaining sum has a summand which is the PMF of yet another binomial distribution with n-1 trials and the same success probability, so the sum is 1 and you're left with

\mathbb E(x)=np=126\times0.27=34.02

You can similarly derive the variance by computing \mathbb V(X)=\mathbb E(X^2)-\mathbb E(X)^2, but I'll leave that as an exercise for you. You would find that \mathbb V(X)=np(1-p), so the variance here would be

\mathbb V(X)=125\times0.27\times0.73=24.8346

The standard deviation is just the square root of the variance, which is

\sqrt{\mathbb V(X)}=\sqrt{24.3846}\approx4.9834
7 0
3 years ago
What is the median of this data <br><br> 10,11,14,10,14,11,15
marta [7]

<h3>Answer-</h3>

I think 11 is the median for the data.

8 0
3 years ago
Read 2 more answers
PLEASE ITS DO TOMORROW
inysia [295]
Here you go :) !!!!!!!!

8 0
3 years ago
Hector needs to buy a window shade in his house. He measured the width of the window as 37 inches. The actual measurement is 40
aksik [14]

Answer:

3/40 = 7.5%

Step-by-step explanation:

3/40 percent error.

3/40 = 7.5%

6 0
3 years ago
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