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miskamm [114]
3 years ago
11

In the parking lot for 8 cars there are 7 trucks. What is the ratio of cars and trucks

Mathematics
2 answers:
Pie3 years ago
7 0
8:7 is the ratio of cars to trucks
horrorfan [7]3 years ago
6 0

Answer:

8:7 or 8/7

Step-by-step explanation:

you put the object before to as the numerator and the one after to as the denominator or to the right of the :

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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
The difference between 32.6 and a number is 10.2. Which equation can be used to solve this problem? 32.6 minus y = 10.2 y minus
guapka [62]

Answer:

32.6 - y= 10.2

Step-by-step explanation:

The equation to solve this problem can be written as

32.6 - y= 10.2

Where y is the number that was substracted from 32.6.

If we make y subject of formula we have

y= (32.6-10.2)

y=22.4

Which means the number that was substracted from 32.6 is 22.4 and there difference is 10.2

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Answer:

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Step-by-step explanation:

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The answer is 14% because that's the amount between 20 and 34 and your trying to find the percent between those two
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padilas [110]
She had to spend 50 cents... since nickels value at 5 cents, 10 5 cent coins value at 50 cents

Hope this helps
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