Answer:
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Step-by-step explanation:
Answer:
Mean for a binomial distribution = 374
Standard deviation for a binomial distribution = 12.97
Step-by-step explanation:
We are given a binomial distribution with 680 trials and a probability of success of 0.55.
The above situation can be represented through Binomial distribution;
![P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....](https://tex.z-dn.net/?f=P%28X%3Dr%29%20%3D%20%5Cbinom%7Bn%7D%7Br%7Dp%5E%7Br%7D%20%281-p%29%5E%7Bn-r%7D%20%3B%20x%20%3D%200%2C1%2C2%2C3%2C.....)
where, n = number of trials (samples) taken = 680 trials
r = number of success
p = probability of success which in our question is 0.55
So, it means X <em>~ </em>
<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>
- Mean of Binomial Distribution is given by;
E(X) = n
p
So, E(X) = 680
0.55 = 374
- Standard deviation of Binomial Distribution is given by;
S.D.(X) =
=
=
= 12.97
Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.
Hi There,
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We Know:
Total Perimeter = 450 feet
Length is 2 times the width.
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Solution:
Length = 150
Width = 75
75 x 2 = 150
150 + 150 + 75 + 75 = 450
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Answer:
Length = 150 feet.
Width = 75 feet.
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Hope This Helps :)
Answer:
(-1, -9)
Step-by-step explanation:
Recall that for 2 points (x1, y1) and (x2,y2)
the midpoints are given by
x ordinate =
y ordinate = ![\frac{y1+y2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7By1%2By2%7D%7B2%7D)
In our case x1 = 8, y1 = -10, x2 = -10, y2=-8
x ordinate =
= [8 + (-10) ] / 2 = -1
y ordinate =
= [-10 + (-8) ] / 2 = -9
hence midpoint is (-1, -9)