Answer:
L=10cm , W=30cm
Step-by-step explanation:
First use the given that W=10+2*L
Use P=2W+2L=80, substitute W in the perimeter formula
2(10+2L)+2L=80 and solve for L,
20+4L+2L=80 isolate variable L and combine like terms,
6L=80-20,
L=10, so W=10+2*10=10+20=30
Answer:
234252464375675734
Step-by-step explanation:
addition...
Answer:
here 234252464375734
Bombur’s salary increased by: . dollars
Answer:
To find out whose salary increased more in absolute terms, we'll calculate the absolute increase for each person.
For Sneezy:
Initial salary = $2500
Final salary = $4522
Sneezy's salary increased by:
Absolute increase = Final salary - Initial salary
Absolute increase = $4522 - $2500 = $2022
For Bombur:
Initial salary = $4000
Final salary = $6700
Bombur's salary increased by:
Absolute increase = Final salary - Initial salary
Absolute increase = $6700 - $4000 = $2700
Now, comparing the absolute increases:
Sneezy's salary increased by $2022.
Bombur's salary increased by $2700.
So, Bombur's salary increased more in absolute terms.
Step-by-step explanation:
The probability that it will take more than 6 minutes for all the customers in line to check out is 0.40.
We are given the probability distribution of x, the number of customers in line at a supermarket express checkout counter.
Moreover, we are given that each customer takes 3 minutes to check out.
It means that if there are 0 customers in line, i.e., x=0, then it will take 0 minutes for all the customers currently in line to check out.
If there is 1 customer in line, i.e., x=1, then it will take 3 minutes for all the customers currently in line to check out.
If there are 2 customers in line, i.e., x=2, then it will take 6 minutes for all the customers currently in line to check out.
If there are 3 customers in line, i.e., x=3, then it will take 9 minutes for all the customers currently in line to check out.
If there are 4 customers in line, i.e., x=4, then it will take 12 minutes for all the customers currently in line to check out.
If there are 5 customers in line, i.e., x=5, then it will take 15 minutes for all the customers currently in line to check out.
From above we note that if there are 3 or more customers in the line, then it will take more than 6 minutes (note that the case of check out time equal to 6 minutes is not included when we want 'more than 6 minutes') for all the customers currently in line to check out.
Thus, required probability is given by:
P(more than 6 minutes for all the customers currently in line to check out) = P(x ≥ 3)
= P(x=3) + P(x=4) + P(x=5)
= 0.20 + 0.15 + 0.05
= 0.40
Therefore, the probability that it will take more than 6 minutes for all the customers in line to check out is 0.40.
To learn more about the probability visit:
brainly.com/question/11234923.
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Without specific information on the total number of customers or the distribution of customers in line, we cannot calculate a specific probability for it to take more than 6 minutes for all customers to check out, given that each customer takes 3 minutes.
The question is about the probability that it will take more than 6 minutes for all the customers in line to check out, given that each customer takes 3 minutes. The time it takes for all the customers to check out is determined by the number of customers in line. If there are two or more customers in line, it will definitely take more than 6 minutes for all of them to check out, because the checkout time is 3 minutes per customer.
So, the question of probability relates to the likelihood of there being two or more customers in line. Without information on the total number of customers, or the distribution of customers in line, we cannot calculate a specific probability.
Please note, this is a practical application of topics in probability and queue theory, involving concepts like mean arrival rate and service rate.
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11x^2+9–2x–8x^2 - 6x
Answer:
3x^2-8x+9
Step-by-step explanation:
11x2+9−2x−8x2−6x
Subtract 8x2 from 11x2.
3x2+9−2x−6x
Subtract 6x from −2x.
3x2+9−8x
Move 9.
3x^2−8x+9
Hope this helps! :) Plz mark as brainliest
11x2+9−2x−8x2−6x
Subtract 8x2 from 11x2.
3x2+9−2x−6x
Subtract 6x from −2x.
3x2+9−8x
Move 9.
3x^2−8x+9
b) What is the minimum and maximum number of people that are on neither of these teams?
Let x = number of individuals both in basketball and football
c) Draw a Venn diagram to illustrate this
Answer:
a) min: 0; max: 21
b) min: 34; max: 55
Step-by-step explanation:
In the attached Venn diagrams (part c), the overlap of the two circles represents the number on both teams.
a) In the top diagram, there is no overlap, so the number on both teams is 0.
In the bottom diagram, there is complete overlap between the teams, so the maximum number that play both sports is 21 (the minimum team size of the two teams).
both teams minimum: 0; maximum: 21
__
b) The number on neither team is the number outside both circles. The minimum number will correspond to the case where there is no overlap between teams. In that case, there are 66 team players, so 34 people who are on neither team.
The maximum case is that where the teams completely overlap, so the number not on either team will be those not on the football team: 55 people.
neither team minimum: 34; maximum: 55
50°
60°
709
Х
50°
The value of xis
o, and the value of yis
Answer:
x = 60°
y = 50°
Step-by-step explanation:
✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)
x = 180° - 120°
x = 60°
✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.
Therefore,
50° + 60° = x + y
Plug in the value of x
50° + 60° = 60° + y
110° = 60° + y
y = 110° - 60°
y = 50°