Answer:
0.52 km
Step-by-step explanation:
We are given that
Speed of object, v=
Speed of object, v=
Distance travel by object, s=
Distance travel by object, s=
We have to find the time taken by object to travel 5 1/10 km.
We know that

Using the formula
Time taken by object to travel 5.1 km =
Time taken by object to travel 5.1 km=0.52 hr
Answer:
1) (-6,-9)
times the top equation buy -4 so you cancel out the y
so it be -8x+4y=12 no cancel out the y's
so it be -8x=12 and 5x=6
now combined like terms to get -3x= 36
x = -6 now go plug that back in one of the equations to get y
y = -9
2) (-2,-5)
now on this one you going to substitute y= (2x-1) for y in the otheir eqaution
so it look like 3x-(2x-1)=-1
do your combining of like terms and your division & you get x = -2
now plug x in to y=2x-1 to get y = -5
4/6 is 0.666666666666667
3/8 is 0.375
So 4/6>3/8
Answer:
Picture is the answer.
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
With 5 shoots, the probability of making at least one is
, hence the probability of making none, P(X = 0), is
, hence:

![\sqrt[5]{(1 - p)^5} = \sqrt[5]{\frac{232}{243}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%281%20-%20p%29%5E5%7D%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B232%7D%7B243%7D%7D)
1 - p = 0.9908
p = 0.0092
Then, with 6 shoots, the parameters are:
n = 6, p = 0.0092.
The probability that at least two of them make it inside the recycling bin is:

In which:
[P(X < 2) = P(X = 0) + P(X = 1)
Then:



Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.9461 + 0.0527 = 0.9988

0.0012 = 0.12% probability at least two of them make it inside the recycling bin.
More can be learned about the binomial distribution at brainly.com/question/24863377
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