Answer:
Probability that a 20- cubic foot block of wood has at most 1 knot P (X<=1) = 0.5918
Step-by-step explanation:
Average rate of knot= 1.4
Wavelength = 1.4
Geometric probability is given by:
P(X= K) = wavelength ^k × e^-wavelegth
P(X=0) = (1.4^0 × e^-1.4)/0!
P(X=0) = 1 × 0.2466 = 0.2466
P(X=1) = 1.4^1 × e^-1.4
P(X=1)= 1.4×0.2466= 0.3452
P(X<=1)= P(X=0) + P(X=1)
P(X<=1) = 0.2466 + 0.3452 = 0.5918
Answer: Rewrite equations:
5x+y=−13;6x+6y=−6
Step: Solve5x+y=−13for y:
5x+y=−13
5x+y+−5x=−13+−5x(Add -5x to both sides)
y=−5x−13
Step: Substitute−5x−13foryin6x+6y=−6:
6x+6y=−6
6x+6(−5x−13)=−6
−24x−78=−6(Simplify both sides of the equation)
−24x−78+78=−6+78(Add 78 to both sides)
−24x=72
−24x
−24
=
72
−24
(Divide both sides by -24)
x=−3
Step: Substitute−3forxiny=−5x−13:
y=−5x−13
y=(−5)(−3)−13
y=2(Simplify both sides of the equation)
Answer:
x=−3 and y=2
Step-by-step explanation:
57/19 = 3
x^5 / x^2 = x^(5-2) = <span>x^3
so </span><span>57x^5 / 19x^2 = 3x^3
answer
</span>3x^3
Answer:
24 more chocolotae chip cookies are sold
Step-by-step explanation:
CCC 7(15)+6 105+6=111
SC 6(15)-3 90-3 = 87
111-87 = 24
There are 60 players on football team that are not seniors.
Step-by-step explanation:
<u>Method 1:</u>
Given
Total students = 84
Also given that
2 out of 7 are seniors
Which is 2/7
So in order to find the total number of seniors we will multiply the whole number of students to 2/7
So there are 24 seniors on the football team.
Players that are not seniors = 84 - 24 = 60
There are 60 players who are not seniors.
<u>Method 2:</u>
We can divide the total number by 7, to get how many sets of 7 players will be there
= 84/7 = 12
Now,
Multiplying 12 with 2 will give us the number of seniors in football team.
12*2 = 24 seniors
So,
Not seniors =84-24 = 60
Keywords: Percentage, Units
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