The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.
First, we consider the number of ways in which we can arrange the 3 cashiers. Since order matters, we use permutation. So, we have ³P₃ ways of arranging the 3 cashiers. ³P₃ = 3 × 2 × 1 = 6 ways.
Also, the number of ways we can arrange the 3 people to line up since order matters is ³P₃ = 3 × 2 × 1 = 6 ways.
So, the total number of ways in which we can arrange both the 3 cashiers and the 3 people in a line is ³P₃ × ³P₃ = 6 × 6 = 36 ways.
The total number of ways in which the 3 people line up for the 3 cashiers is 36 ways.
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Answer:
60 ways
Step-by-step explanation:
So, sadly there is no real algorithm that I could find for this so I just went ahead and listed all the ways that the people can be organized
3,0,0
0,3,0
0,0,3
2,1,0
2,0,1
1,2,0
1,0,2
0,2,1
0,1,2
1,1,1
So, we have 10 ways to organize them. But we need to remember that there are also 6 ways to randomly organize 3 people. So, 10x6 is 60
Can you help me find x
8th grade math
Answer:
x=53
Step-by-step explanation:
all triangles equal 180° the little lines on each side mean both sides are same length so all u gotta do is
180-74=106
106/2= 53
Answer:x=52
180-74=104
104 divided by 2 to get 52
Step-by-step explanation: you would have to divide because both sides are the same size so they would be even. so that is how you would get the answer 52
PLEASE HELP
What is the y-intercept for line c?
Enter your answer in the box.
Answer:
-5
Step-by-step explanation:
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480. What was the total cost?
The amount of the sales tax and tip is $96 and $24, then the total cost of the dinner will be $600.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Jerry took his extended family out for a dinner that cost $480. Jerry paid 5% sales tax and left a 20% tip on $480.
Then the cost of the sales tax will be
→ 0.05 × 480 = $24
Then the amount of the tip will be
→ 0.20 × 480 = $96
Then the total cost of the dinner will be
→ $24 + $96 + $480 = $600
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If 2 coins can be exchanged for 3.3782 dubloons, how many dubloons can be obtained for 9 coins?
(Round to the nearest hundredth)
Answer:
5.33
Hope this helps
the ratio of yellow balls to green balls in a a bag is 4:2
what faction of the balls are yellow?
Answer: for every 1 green ball there is 2 yellow balls so 75% yellow 25% green I think unless I’m wrong which I wouldn’t be surprised
Step-by-step explanation:
What is the x intercept of this quadratic/parabola?
Answer:
-3 and 1
Step-by-step explanation:
Answer: Yes, -3 and 1
Step-by-step explanation:
If you look at the x axis there are 2 points which are -3 and 1. Since they are on the x axis they are your intercepts. Hope this helps! :)
a
=
670
rounded to the nearest 10
b
=
72.7
rounded to 1 DP
Find the minimum (to 2 DP) of
a
÷
b
Answer:9.22
First, 670 rounded to the nearest ten is:
670
Second, 72.7 rounded to 1DP is:
well, 72.7
a÷b is:
9.2159
9.22 (2 DP)
Solve for B
A=3B+4C
B=?
Answer:
[tex]3b + 4c = a[/tex]
[tex]3b = a - 4c[/tex]
[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4}{3} [/tex]
[tex] \frac{3b}{3} = \frac{a}{3} + \frac{ - 4c}{3} [/tex]
[tex]b = \frac{a}{3} + \frac{ - 4c}{3} [/tex]
[tex]b = \frac{a}{3} - \frac{4c}{3} [/tex]
Step-by-step explanation:
Thanks!!!!!
Can someone solve this equation.
Answer:
1/2
Step-by-step explanation:
What is the solution to the linear equation?
4b + 6 = 2 – b + 4
b = –2
b = 0
b = 4
b = 6
Answer:
b = 0
Step-by-step explanation:
4b + 6 = 2 - b + 4
4b + b = 2 + 4 - 6
5b = 6 - 6
5b = 0
b = 0 / 5
b = 0
Answer:
The answer is B.
Step-by-step explanation:
b=0
Solve the math problem
Thats too many questions mam Step-by-step explanation:
Find x if the base angles of an isosceles triangle are 61 degrees and 7x+19.
The question provides the measures of two angles, (one of which contains
a variable), and the relationship between the angles.
The value of x is 6 degrees
Reason:
The given parameters are;
The base angles of the isosceles triangles are; 61° and (7·x + 19)°
Required:
To find the value of x
Solution:
By definition of an isosceles triangle, we have;
The base angles of an isosceles triangle are equal, therefore;
(7·x + 19) = 61
Which gives;
[tex]x = \dfrac{61 - 19}{7} = 6[/tex]
The value of x = 6
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If (1 + 2x)^5+ (1 - 2x)^5 = a + bx + cx?
find the values of the constants a, b and c.
Answer:
steps below
Step-by-step explanation:
5th level of Pascal triangle: 1,5,10,10,5,1
(1+2x)⁵ = 1*1⁵*(2x)⁰+5*1⁴*2x+10*1³*(2x)²+10*1²*(2x)³+5*1¹(2x)⁴+1*1⁰*(2x)⁵
= 1 + 10x + 40x² + 80x³ + 80x⁴ + 32x⁵ .. (1)
(1-2x)⁵ = 1 - 10x + 40x² - 80x³ + 80x⁴ - 32x⁵ .. (2)
(1)+(2): (1+2x)⁵ + (1-2x)⁵ = 160x⁴ + 80x² +2
a + bx + cx ?? suppose it's ax⁴ + bx² + cx, if you have other set up.. adjust by yourself
a = 160, b = 80, c = 2
What are the values of v and w?
HELP PLEASE ASAP!!! PLEASE AND THANKS
Answer:
x >= 12
Step-by-step explanation:
2x + 7 <= 3x - 5
7 + 5 <= 3x - 2x
12 <= X
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Answer:
,a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.
Which expression is equivalent to 8(4p+1)+6?
Answer:
32p + 14
Step-by-step explanation:
Expression :-
8(4p +1) + 6 .Simplify ,
32p + 8 + 6 32p + 14A person walked 19km in 2.0 hr. What is the person’s average velocity in km/he and in m/sec?
Answer:
9.5km/hr and 16.667m/s
Step-by-step explanation:
velocity = Distance / Time
v = 19/2 --> v = 9.5km/hr
v = 2000m/120s --> v = 16.66666667m/s
Which fraction equals a repeating decimal 3/10 6/12 1/3 3/4
Answer:
1/3
Step-by-step explanation:
because 1/3 is 0.333333
A sample of 2,000 union members was selected, and a survey recorded their opinions regarding a proposed management union contract. A total of 1,600 members were in favor of it. A 95% confidence interval estimated that the population proportion was between 0.78 and 0.82. This indicates that about 80 out of 100 similarly constructed intervals would include the population proportion.
a. True
b. False
Answer:
a
Step-by-step explanation:
True, the 95% confidence interval suggests that there is a high likelihood (about 80 out of 100 intervals) that the true population proportion of union members in favor of the proposed management union contract falls between 0.78 and 0.82.
The confidence interval estimated for the population proportion of union members in favor of the proposed management union contract was between 0.78 and 0.82, with a confidence level of 95%.
The confidence level represents the probability that the interval contains the true population parameter.
In this case, with a confidence level of 95%, it means that if we were to repeat the survey and construct 100 similar confidence intervals, approximately 95 of those intervals would contain the true population proportion.
Therefore, when it is stated that "about 80 out of 100 similarly constructed intervals would include the population proportion," it means that the estimated confidence interval aligns with the confidence level of 95%, indicating that approximately 80% of those intervals would contain the true population proportion.
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[tex]5x - 3(2x - 4)[/tex]
please help me
please help!! please show your work too so i know how to do the rest of them :)
Answer:
Step-by-step explanation:
1) f(x)=1/3(x+1)^2
so if we use the equation f(x)=a(x-h)^2+k then we can plug in the different things. a would represent the compress/stretches, so in order to move horizontally, we would need to do 1/3
for h: that is the horizontal translations so, left and right. BUT remember it's the opposite. so if you want to go left <-- you would have to put a + sign and to go right you would have to put a - sign.
I hope that helps it prob is confusing sorry >-<
I went to the movies and bought 4 tickets. It cost me 23 dollars for the tickets after I applied my 5 dollar Tuesday discount. Create an equation for this situation where x is cost of each ticket. How much did each ticket cost? (answer asap pls)
Answer:
x= 5.75$
Step-by-step explanation:
23 divided by 4 = 5.75$ (without the discount it is 10.75$)
Answer:
each ticket=$7.
x=7
Step-by-step explanation:
The total price of your tickets AFTER applying your $5 discount was 23.
Therefore, the price of 4 tickets would be 23+5, aka 28.
We can first begin with,
4x-5=23
4x=23+5
4x=28
x=7.
if m<4= 86° what are the measures of the other seven angles in the figure
Answer:
below
Step-by-step explanation:
IF l₁ and l₂ are parallel, then:
Angles 2, 4, 5, 8 all equal 86 degrees
Then angles 1, 6, 3 , 8 all equal 180 - 86 which is 94 degrees
Which of the following best describes the number shown below?
0.535353...
A.
rational
B.
irrational
C.
both rational and irrational
D.
neither rational nor irrational
Answer:
irrational
Step-by-step explanation:
irrational. An irration number can not be expressed as a fraction or a decimal. This can not because this number goes on forever and it will never end, and you can write a never ending number as a fraction or a decimal. here is a tip to remember if a number never end like pi then it is irrational,
A line passes through the points (−6,−8) and (−3,−7). What is the equation of the line in Slope-Intercept Form?
What is 2/7 ÷ 4/5 ? Plz help
Answer:
5/14
Step-by-step explanation:
Please help due in 2 hours and I’m clueless.
Identify the domain and range of each graph.
ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!
Answer:
Question 1:
A) Perpendicular
Question 2:
B) y = -8 and y = 2
The difference of thirteen and a number.
Answer:
13-n
Step-by-step explanation:
n represents the number