Answer:
0.81
Step-by-step explanation:
The answer is 926 :)))
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A fraction with a denominator of 4 that is less than 7/12 miles is 1/4.Let the fraction be x/4. Since this fraction must be less than 7/12 miles, we can write the inequality, x/4 < 7/12.We now solve the inequality for x to obtain, x<7/12(4).
This simplifies to x<7/3
This implies that x<2 1/3
This is distance so x is positive.
So we can choose x=1 or x=2.
Therefore the possible fractions include 1/4 or 2/4.
In the simplest form, the most appropriate fraction is 1/4
1)solve for y.
4x+y=7
Add -4x to both sides.
4x+y+−4x=7+−4x
y=−4x+7
2) solve for y.
y−5x=9
Add 5x to both sides.
−5x+y+5x=9+5x
y=5x+9
3) solve for y.
3y−15x=12
Add 15x to both sides.
−15x+3y+15x=12+15x
3y=15x+12
Divide both sides by 3.
3y/3=15x+12/3
y=5x+4
4) solve for y.
8x+2y=18
Add -8x to both sides.
8x+2y+−8x=18+−8x
2y=−8x+18
Divide both sides by 2.
2y/2=−8x+18/2
y=−4x+9
5 ) solve for y.
7x−y=35
Add -7x to both sides.
7x−y+−7x=35+−7x
−y=−7x+35
Divide both sides by -1.
−y/−1=−7x+35/−1
y=7x−35
6) solve for y.
4x+1=9+4y
Flip the equation.
4y+9=4x+1
Add -9 to both sides.
4y+9+−9=4x+1+−9
4y=4x−8
Divide both sides by 4.
4y/4=4x−8/4
y=x−2
7) solve for x.
y=5x−2x
Flip the equation.
3x=y
Divide both sides by 3.
3x/3=y/3
x=1/3y
8) solve for x.
r=x+9x
Flip the equation.
10x=r
Divide both sides by 10.
10x/10=r/10
x=1/10r
9) solve for x.
b=3x+9xy
Flip the equation.
9xy+3x=b
Factor out variable x.
x(9y+3)=b
Divide both sides by 9y+3.
x(9y+3)/9y+3=b/9y+3
x=b/9y+3
10) solve for x.
w=2hx−11x
Flip the equation.
2hx−11x=w
Factor out variable x.
x(2h−11)=w
Divide both sides by 2h-11.
x(2h−11)/2h−11 = w/2h−11
x=w/2h−11
11) solve for x.
p=4x+qx−5
Flip the equation.
qx+4x−5=p
Add 5 to both sides.
qx+4x−5+5=p+5
qx+4x=p+5
Factor out variable x.
x(q+4)=p+5
Divide both sides by q+4.
x(q+4)/q+4=p+5/q+4
x=p+5 / q+4
12) solve for x.
m=9+3x−dx
Flip the equation.
−dx+3x+9=m
Add -9 to both sides.
−dx+3x+9+−9=m+−9
−dx+3x=m−9
Factor out variable x.
x(−d+3)=m−9
Divide both sides by -d+3.
x(−d+3)/−d+3=m−9/−d+3
x=m−9/−d+3
Answer:
And for this case we want to find this probability:
And we can use the probability mass function and we got:
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest, on this case we now that:
And for this case we want to find this probability:
And we can use the probability mass function and we got:
