The table below represents the data collected at a sandwich shop for the last six months with respect to the type of bread people ordered (sourdough or wheat) and whether or not they got cheese on their sandwich.
Are the events “sourdough” and “with cheese” independent events? Explain why or why not using probabilities. Show all work to receive full credit.
Answers
Answer:
First, add totals to the table (see attachment)
Let S = Sourdough
Let C = With cheese
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
[tex]\implies \sf P(S)=\dfrac{1225}{3125}=\dfrac{49}{125}[/tex]
[tex]\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}[/tex]
[tex]\implies \sf P(S \cap C)=\dfrac{800}{3125}=\dfrac{32}{125}[/tex]
For independent events S and C,
[tex]\sf P(S \cap C)=P(S)P(C)[/tex]
[tex]\sf\:As\quad P(S) \cdot P(C)=\dfrac{49}{125} \cdot \dfrac{16}{25}=\dfrac{784}{3125}[/tex]
[tex]\sf And\quad \dfrac{32}{125} \neq \dfrac{784}{3125}[/tex]
[tex]\sf Then \quad P(S \cap C)\neq P(S)P(C)[/tex]
So the events are NOT independent
Related Questions
Which is equivalent to this expression?
(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30
Answers
Answer:
D
Step-by-step explanation:
(z + 6)(2z² + 3z + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis
= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms
= 2z³ + 15z² + 23z + 30
Form an expression for the sum of three consecutive odd integers if the smallest number is x.
(difference between consecutive odd integers is 2)
Answers
Answer:
3x + 6.
Step-by-step explanation:
That would be x + x +2 + x + 4
= 3x + 6.
Verify this by adding 7 9 and 11:
7 + 9 + 11 = 27
3(7) + 6 = 21 + 6 = 27.
A walk-in path BE in a park intersects two sides of the park at their midpoint. You walk from point D to E , from E to B, from B toC, and back to point D. How many yards did you walk
Answers
See attached image.
No measurements were given for the park, so I made an assumption to demonstrate how the calculation might be done,. Adjust for the actual measurements.
PLEASE HELP ME WITH THIS
Select the correct answer.
Function w is a nonlinear function. Which representation could represent function w?
Answers
Answer:
D
Step-by-step explanation:
ABC are linear so it has to be d
Which graph best represents the solution set of -4x ≤ 6y − 54?
Answers
Answer:
a
Step-by-step explanation:
if its the same one i saw, the answer is a :)
• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.
Answers
Answer
12x-9x-45 (put a 2 above the x on the 12)
Step-by-step explanation:
(2x-9)(x+5)
2x(x) = 2x
2x(5) = 10x
-9(x) = -9x
-9(5) = -45
2x^2+10x^2-9x-45
2x^2+10x^2 = 12x^2
12x^2-9x-45
9. A tissue box is shaped like a rectangular
prism. The tissue box measures 5.2 cm wide,
9.6 cm long, and 6 cm tall. Approximately what
is the volume of the tissue box?
Answers
Volume of the box = 5.2 × 9.6 × 6
= 299.52 ≈ 300 cm³ (approx)
Graph the quadratic functions y=-2xandy=-2x2 + 4 on a separate piece of paper. Using those graphs, compare and contrast the shape and position of the graphs.
Answers
Y = -2x^2
h = Xv = -B/2A = 0/-4 = 0.
k = -2*0^2 = 0.
V(0,0).
Use the following points for graphing:
Y = -2x^2.
(x,y)
(-2,-8)
(-1,-2)
V(0,0)
(1,-2)
(2,-8)
Y = -2x^2 + 4.
h = Xv = -B/2A = 0/-4 = 0.
k = Yv = -2*0^2 + 4 = 4.
V(0,4).
(-2,-4)
(-1,2)
V(0,4)
(1,2)
(2,-4)
How do I find the measures of angles a,b, and c. I included a picture
Answers
Angle a) - Angles opposite each other equal each other
Angle b) - sum of angles in a triangle should equal 180. The right angle is 90 and you already know angle a)
Angle c) - the flat angle on a line should be equal to 180. So part of it is 65 rest is the rest of 180
According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hours?
Answers
Answer:
2/4 or 1/2
Step-by-step explanation:3/4 minus 1/4 is 2/4
What is the cube root?
Answers
Answer:
its 4/5
Step-by-step explanation:
cube of four is 64 and cube of 5 is 125
Answer:
4 / 5
Step-by-step explanation:
∛( 64 / 125 )
= ∛64 / ∛125
64 can be simplified as 4 x 4 x 4.
∛64
= ∛ ( 4 x 4 x 4 )
= 4
125 can be written as 5 x 5 x 5.
∛125
= ∛ ( 5 x 5 x 5 )
= 5
∛ ( 64 / 125 ) = 4 / 5
Coplanar circles that intersect in one point are called.
Answers
Answer:
Tangent circles
Step-by-step explanation:
Tangent circles are coplanar circles that intersect in one point.
Hope this helps :)
Have a nice day!
How many lines of symmetry does the figure have?
Will mark brainlyest!
Answers
4
hope it helps....!!!!
what is is a true statement?
Answers
Answer:
The Second option, all parallelagrams are quadralatterals.
Step-by-step explanation:
because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.
Write (-4,3) and (-5,-2) in slope intercept form
Answers
Write the inverse of 6x + 8y= 13 in f-1 (x) notation.
Answers
Answer:
Step-by-step explanation:
6x + 8y = 13
8y = 13 - 6x
y = (13 - 6x) / 8
f(x) = (13 - 6x) / 8
x = (13 - 6f^-1(x)) / 8
8x = 13 - 6f^-1(x)
6f^-1(x) + 8x = 13
f^-1(x) = (13 - 8x) / 6
Find the volume of a prism
Answers
Answer:
84
Step-by-step explanation:
add em all together
Please help me, I will mark a brainiest
Answers
Answer:
..... :P
Step-by-step explanation:
I'm not sure man try asking a tutor
If 8x+2y=−2 is a true equation, what would be the value of −3(8x+2y)?
Answers
Answer:
+6
Step-by-step explanation:
8x+2y=2so,
-3(8x+2y)
-3(-2)
-3×-2
remember -×- is a + so,
the answer is +6
Answer:
6Step-by-step explanation:
Given
8x + 2y = -2Multiply both sides by -3
-3(8x + 2y) = -2(-3)-3(8x + 2y) = 6Solve the system of equations using elimination:
-3х — бу =-6 and
-4х — бу = -4.
Answers
Answer:
let's see....
lil info about elimination method:
it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.
look at -6 in the first equation and the other -6 below it in the second equation.
if you have something like that, then just look for a symbol like - or + that will eliminate them
so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.
so x cannot be negative...
so x = -2.
( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)
I hope this helps
A company has total sales in 2018 of $500,000 and expects sales to grow at a compounded annual rate of 3% each year for the next several years. What will sales be in 2020?
a) $515,000
b) $530,450
c) $ 546,363
Answers
The perimeter of a rectangular pool is 60 ft. It is 10 1/2 feet wide. How long is the pool?
Answers
Answer: 19.5ft
Step-by-step explanation: L represents length and b represents width or breadth
Find the stepsteps in the file.
A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is $p$ dollars (where $p \le 40$), then the number of books sold per month is $120-3p$. What price should the store charge to maximize its revenue?
Answers
Answer:
$20
Step-by-step explanation:
revenue would be price * quantity
p ( 120-3p)
-3p^2 + 120p = revenue max will occur at p = - b/2a = - 120/((2)(-3))
p max rev = 20
A phone company charges $0.15 per minute for the first 3 minutes and $0.08 for each additional minute.
Find the cost of a 26 minute phone call.
O A $1.69
OB. $1.99
O C. $2.29
O D. $2.44
O E $2.53
Answers
Explanation
0.15 x 3 is 0.45
23 minutes additional minutes so
23 x .08 = 1.84
0.45 + 1.84 is 2.29
PLS HELP WILL GIVE BRAINLIEST
Answers
Answer:
Option A, y = -1/3x + 2
Step-by-step explanation:
Step 1: Determine the equation
Looking at the graph we can see that the line will intersect the y-axis at around 2 units which eliminates options B and D. Now, looking at the slope of the graph we see that it's going in a downward trend which means that the slope is negative. That eliminates option C which leaves us with the only option of A.
Answer: Option A, y = -1/3x + 2
A group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the venn diagram. determine the value for each variable in the two-way table. a = b = c = d = e =
Answers
Answer:
a = 13, b = 28, c = 6, d = 22, e = 31
Step-by-step explanation:
PLS HELP ASAPP ILL MARK AS BRAINLIEST
Answers
Answer:
18,165
hope this helps :D
A plant is already 13.25 meters tall, and it will grow 9 centimeters every month. The plant's height, H (in meters), after x months is given by the following.
H=0,09x+13,25
What is the plant's height after 20 months?
PLEASE HELP ME SOLVE THISSSS
Answers
H = 0.09 (20) + 13.25
H = 1.80 + 13.25
H = 15.05 m
The previous answer is wrong because they interpreted the 9 as a .09 so this is who they are wrong
James opens 2 different savings accounts and deposits $12,000 into each one. account i earns 2.2% interest compounded annually. account ii earns 2.2% annual simple interest. there are no additional deposits or withdrawals. what is the sum of the total balances of these accounts at the end of 7 years? question 7 options: $27,168.00 $27,696.00 $27,949.08 $27,822.53
Answers
The Total Interest Combine will be interest from the compounded invesestment and that of the simple interest investement $13,974.54 plus $13,848.00 which is 27 822.54 US$
Compound InterestGiven Data
Principal = $12,000Rate = 2.2%Time = 7 yearsCalculation For Compound Interest:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.2/100
r = 0.022 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 12,000.00(1 + 0.022/1)(1)(7)
A = 12,000.00(1 + 0.022)(7)
A = $13,974.54
Calculation For Simple Interest:
First, converting R percent to r a decimal
r = R/100 = 2.2%/100 = 0.022 per year.
Solving our equation:
A = 12000(1 + (0.022 × 7)) = 13848
A = $13,848.00
Learn more about investment here:
https://brainly.com/question/24924853
Need help with this problem
Answers
Answer:
44
Step-by-step explanation:
i done this