Answers
Part A
Extend the table so that we have row and column totals as shown in the diagram below.
There are 986 accurate orders from all four restaurants combined, out of 1125 orders total. The probability of an accurate order is 986/1125. Selecting two such orders, with replacement, means we get a probability of
(986/1125)*(986/1125) = 0.7682 which is approximate.
Now to the question of independence vs dependence. It all comes down to this: Does the first selection affect the second selection? If so, then we have dependent events. Otherwise the events are independent. Because we put the first selection back (or replaced it with an equivalent order), this means the first selection does not alter the second selection. The two selections effectively exists in their own separate universe so to speak.
Answer: The probability is 0.7682 and the events are independent============================================================
Part B
This time, we aren't putting the order back in the pile. Whatever we select is taken out entirely without replacement. The first selection will affect the second one. The probability of getting an accurate order for the first selection is 986/1125 = 0.8764 while the second selection is slightly different at 985/1124 = 0.8763. This difference is enough to show that we have dependent events. The second event depends on the first.
Note the second fraction has each term drop by 1.
The probability of picking two accurate orders, when replacement is not made, is (986/1125)*(985/1124) = 0.7681 approximately
Answer: The probability is 0.7671 and the events are not independent.
Related Questions
Write a point-slope equation and a slope-intercept equation for the line graphed below. (ONLY REAL ANSWERS NO LINKS!!!)
Answers
Answer:
Point-slope equation: -2 - 1 = m(-2 - 2)
Slope-intercept equation: y = 3/4x -1/2
Answer:
Step-by-step explanation:
Solve the math problem
Only solve 3 and 4
Answers
Answer:
nothing is being showed
Step-by-step explanation:
Answer:
Step-by-step explanation:
3) Cost of o balloons = 0
4) It represents a proportional relation ship.
Reason
[tex]\dfrac{25.50}{3}=\dfrac{42.50}{5}=\dfrac{59.50}{7}=\dfrac{76.50}{9}=8.5[/tex]
The Drawing below represents a scale drawing of a room, when 1 inch = 16 feet
what is the approximate area of the store in square feet
Answers
Apples are on sale at the grocery store at a price of 8 apples for $4.00. Maggie buys 12 apples. If she is charged the sale price for apples, how much will Maggie pay?
Answers
Answer:
$6
Step-by-step explanation:
How to find the Focus directrix and the lanth of the latus rectum of the equation below
Answers
Poppy gives one half of a cake to her big brother and the other half to her three friends who share it equally. What fraction of the cake does each friend get?
Please help!!
Answers
Answer:
1/12
Step-by-step explanation:
13 = 1/6y +2x plz help
Answers
Answer:
in standard form - y+12x=78
in slope intercept form - y=-12x+78
Step-by-step explanation:
standard form
13=1/6y+2x
multiply both sides by 6
78=y+12x
y+12x=78
slope intercept
13=1/6y+2x
subtract 1/6y from both sides
13-1/6y=2x
subtract 13 from both sides
-1/6y=2x-13
change the signs on both sides of the equation
1/6y=-2x+13
divide both sides by 1/6
y=-12x+78
How do you turn 3.0035 into a fraction?
explain?
Answers
Answer:
How do you turn 335 into a fraction?
Steps to convert decimal into fraction
Write 3.035 as 3.0351.
3.035 × 10001 × 1000 = 30351000.
607200.
Step-by-step explanation:
Answer:
3 7/2000 or 6007/2000
Step-by-step explanation:
You would keep simplifying the number .0035 which would simply into the 2000 place. Then you would know that 3 is already 6000, so find out .0035 which is 7 our of 6000. It's also like what is .0035 comverted into 3.
A faucet can fill a bathtub in 6 minutes. the drain can empty the tub in 10 minutes. If both the faucets and the drain are open at the same time, this situation is represented by this expression, where t is the number of minutes it will take to completely fill the bathtub.
[tex] \frac{t}{6} - \frac{t}{10} [/tex]
which expression can also represent this situation?
Answers
Answer:
4t/15
Step-by-step explanation:
Please trust me
HELPP YALL! ILL MARK BRAINIEST!!! LOOK AT PICTURE!!!
Answers
180-67=113 y=113
Answer:
y=113, z= 36
Step-by-step explanation:
because complementary angle to y is isotope with angle 67 degrees so y=113
z=((180-113)+108):5
Which function has two distinct real zeros?
A.) F(x)=2x+2
B.) F(x)=(x-2)²
C.) F(x)=x³+2
D.) F(x)=lxl-2
Answers
Answer:
d
Step-by-step explanation:
trust me
Answer:
From its name, the zeros of a function are the values of x where f(x) is equal to zero. ... The function g(x) = x2 – 4 has two zeros: x = -4 and x = 4.
Step-by-step explanation:
Hope this helps :D
What equation is graphed in this figure?
A: y−3=32(x+1)
B: y+1=−23(x−3)
C: y−4=−23(x+2)
D: y+2=−32(x−2)
Answers
Solve the system of equations by elimination:4p + 4q = 44p - 4q = 28
Answers
Answer:
p =9
q =2
Step-by-step explanation:
4p + 4q = 44 -----------(I)
4p - 4q = 28 -------------(II)
Add the equations and thus q will be eliminated and we can find the value of p.
(I) 4p + 4q = 44
(II) 4p -4q = 28 {Now add}
8p = 72
p = 72/8
p= 9
Plugin p = 9 in equation (I)
4*9 + 4q =44
36 + 4q = 44
4q = 44 - 36
4q = 8
q = 8/4
q = 2
The volume of a cube is 751cm.3
Work out the length of its side rounded to 1 DP.
Answers
Answer:
9.1 cm
Step-by-step explanation:
v = s^3
751 = s^3
Take the cube root of both sides
9.0896392166 = s
Rounded
s = 9.1
i need help fr!! ignore the writing lol
Answers
Answer:
-40
Step-by-step explanation:
Inputs are the x values and outputs are the y values. To find the output of a function, substitute the chosen value for x.
For instance, when the input is 5:
[tex]-7(5)-5\\-35-5\\-40[/tex]
Then, the output is -40.
Marla filled up her car's gas tank and then went on a trip. After she drove 329 miles, she filled her tank with 14 gallons of gas. If she drove the same number of miles on each gallon of gas, how many miles per gallon did she drive?
Answers
Answer:
23 1/2 miles per gallon
Step-by-step explanation:
We start with dividing 329 miles with 14 gallons because it asks to find the number of miles on each gallon of gas -
Miles
----------------------------- =
Each gallon of gas
329 ÷ 14 = 23 1/2 miles per gallon
Which is equivalent to 104?
**
Can I please get an answer will give brainliest
Answers
Answer:
number 2 is right
Step-by-step explanation:
the second one
if you help me you get brainly
Answers
Answer:
3 ( 917 ) = 3 ( 900 ) + 3 ( 10 ) + 3 ( 7 )
5 ( 209 ) = 5 ( 200 ) + 5 ( 0 ) + 5 ( 9 )
6 ( 347 ) = 6 ( 300 ) + 6 ( 40 ) + 6 ( 7 )
9 ( 821 ) = 9 ( 800 ) + 9 ( 20 ) + 9 ( 1 )
11 ( 142 ) = 11 ( 100 ) + 11 ( 40 ) + 11 ( 2 )
Step-by-step explanation:
Answer:
Hint(look at the first number in each part and math it with the first number in each answer.) For example, 3(937), the distributive property for that one would be 3(900) + 3(30) + 3(7). Then for 5(209) it would be 5(200) + 5(0) + 5(9), then for 6(342), it would be 6(300) + 6(40) + 6(2). Then for 9(821), it would be 9(800) + 9(20) + 9(1), and for the last one it would be 11(143), it would be 11(140) + 11(40) + 11(3). You basically distribute each amount into different place values.
Step-by-step explanation:
Hope it helps. Mark brainiest if it does!
Help? I need question 1-8 answers .
Answers
58=5x-2
60=5x
X=12
2) These angles are also equal to each other
16x+22=134
16x=112
X=7
3) These angles are equal too
7x-1=125
7x=126
X=18
4) These angles are supplementary so they add to 180 degrees
9x+2+133=180
9x+135=180
9x=45
X=5
5) These angles are equal as well
8x-77=3x+38
5x-77=38
5x=115
X=23
6) These angles are also equal
11x-47=6x-2
5x-47=-2
5x=45
X=9
7) these also sum to 180
13x-21+5x+75=180
18x+54=180
18x=126
X=7
8) These angles add to 180 as well
9x-33+5x+3=180
14x-30=180
14x=210
X=15
In conclusion, just know how to solve simple one variable equation and know which angles are congruent and supplementary and this will be easy.
Answer:
Hi please resend the question so i can help u!
Step-by-step explanation:
HELP ASAP!!!!
I need help finding slopes (100points and brainlyest if it lets me)
Answers
Answer:
Step-by-step explanation:
to find slope, m is slope
m=(y2-y1)/(x2-x1)
let’s use one of the coordinates here:
(50,150) and (100,150)
m= (150-150)/ (100-50)
this is the slope
if this is incorrect please notify me! Thankyou :3 have a great evening :D
Answer:
The slope is 0 and the equation for this graph would be y=150
Step-by-step explanation:
How many real roots does the polynomial 2x^3+8x-7 have?
Answers
And you don’t need to calculate them to know that.
First, you know that polynomials of grade three have either one or three real roots. Second, you know that to have three real roots, they have to have a local maximum and a local minimum.
Take the derivative of your polynomial
()′()=23+8−7=62+8 f(x) =2
x
3
+8x−7
f
′
(x) =6
x
2
+8
Find the possible zeros of the derivative
′()=62+8=0
f
′
(
x
)
=
6
x
2
+
8
=
0
and see that there are no real zeros of the derivative. So the polynomial has no local maxima or minima, so it has exactly one real zero.
For the same reason every polynomial of the form
3++
a
x
3
+
b
x
+
c
with ,>0
a
,
b
>
0
has exactly one real root
15
2
3. Consider the iterative rules you wrote in Problem 2. (a) Explain why the rules are functions. (b) Your friend says that because the rules are functions, they can be graphed and must have y-intercepts. How would you respond to your friend’s comment? (c) Your friend uses your rules to determine the outputs when the inputs are 18.5. Explain why her outputs are meaningless in this situation. What would you tell her about the inputs she can use? Answer:
Answers
The inputs which are required mention below in descriptive.
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x. Mapping or transformation is used to denote a function in math.
(a) The rules are functions because each input has only one output. You can test this out, it's true.
(b) So we did have to find the "y-intercept" earlier. But you have to look at the domain. There won't be any amount paid on Week 0, payment starts at Week 1. So you would have to respond that yes, they can be graphed, but there's no y-intercept; the graph starts at week 1. Additionally, there are only data points at the integer values of x. Look at part c.
(c) The outputs are meaningless because you're counting the time by weeks. There won't be any amount paid in the middle of the week, so she can only use integer inputs.
Learn more about function from:
https://brainly.com/question/12431044
#SPJ1
la solucion de un triangulo rectangulo tiene uno de sus lados de 5cm otro de sus lados 7cm y el lado de abajo de 4cm
Answers
Answer:
thx sa points
Step-by-step explanation:
Through (-3,-5), Perpendicular to y = -x-5 in point slope and slope intercept form
Answers
Step-by-step explanation:
I really hope this helps :)
How many times does the line y=-1 touch the graph? (Ensure to draw your line on the graph)
Answers
Answer:
The answer is 2 times
Step-by-step explanation:
Well, the line y equals to negative 1 is a horizontal line that crosses through the y axis.
So, if we were to draw that line in how many times is that line intersecting or coming into contact with our graph well it's happening in these two places right here (shown in attached photo) so that would intersect two times.
Thus, The answer is 2 times
-TheUnknownScientist 72
which is lower:-500 or-1000 feet?
Answers
Answer:
-1000
Step-by-step explanation:
if you look on the number line
Answer:
-1000 feet
Step-by-step explanation:
-1000 feet is lower than -500 since both numbers are negative and -500 is close to 0 than -1000
Using the digits 1 to 9 at most one time each fill in the boxes to create an equation that has a negative solution
[]x+[]=[]x+[]
Answers
Answer:
[4]x+[8]=[1×]+2
Step-by-step explanation:
x will be negative now that the more x you have the higher your number will have to be.
The requried, x is negative, the left-hand side of the equation is positive, but the right-hand side is negative, so the equation has a negative solution as x = -3.5.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
One possible solution is,
[1]x + [2] = [3]x + [9]
To see that this equation has a negative solution, we can rearrange it to get:
x + 2 = 3x + 9
x - 3x = 9 - 2
-2x = 7
x = -3.5
Since x is negative, the left-hand side of the equation is positive, but the right-hand side is negative, so the equation has a negative solution.
Learn more about simplification here:
https://brainly.com/question/12501526
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HELP PLZZZZZZZZZ this has to be done by 11:59 i really need help :(
Answers
Domain is the x
Range is the y
Adam went on a shopping trip to Somerville. He purchased a set of dishes originally priced at
$390 but discounted 60%. If sales tax in Somerville is 8%, what was the total cost?
Submit
Answers
Answer:187.2
Step-by-step explanation:
Actual price $390
After 60% discount price will be 156
And Sales tax is 8% . Then the price of sales tax is $31.2.
156+31.2= $187.2
Answer:
168.48
Step-by-step explanation:
IXL
Answer the original questions. (2 points: 1 point ea a) How long is each individual act? b) How long is each group act
Answers
Answer:
a) Each individual act will last 5 minutes.
b) Each group act will last 10 minutes.
Step-by-step explanation:
I think this is right
