Answer: The probability is 0.036
Step-by-step explanation:
We have a total of 10 sports drinks.
4 lemon-lime
3 orange
3 fruit-punch.
in the first draw, we pick a lemon-lime drink.
The probability of this is equal to the number of lemon-lime drinks divided by the total number of drinks: p1 = 4/10.
Then we return it and we mix the drinks.
In the second time, we draw a fruit-punch one, so now the probability is:
p2 = 3/10
We return the drink.
For the third time we again pick a fruit-punch.
Again, we have p3 = 3/10.
Now for the joint probability of the 3 events we must multiplcate the individual probabilities, this is:
P = p1*p2*p3 = (4/10)*(3/10)*(3/10) = 36/100 = 0.036
Answer:
(っ◔◡◔)っ ♥ Thanks for the 9 points! ♥
Step-by-step explanation:
can someone help me with this please
Solve for p.
4p + 19 + 13p = –17 − p
Answer:
p=-2
Step-by-step explanation:
4p + 19 + 13p = –17 − p
4p+13p=17p
17p + 19 = -17 - p
18p=-36
p=-2
So the value of p is -2.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Determine the solution that exists to the equation below.
8(j-4)=2(4j-16)
Answer:
infinite solutions
Step-by-step explanation:
8(j-4)=2(4j-16)
Distribute
8j - 32 = 8j - 32
Subtract 8j from each side
8j-8j -32 = 8j-8j -32
-32 = -32
This is always true so there are infinite solutions
Answer:
All Real Numbers Are Solutions
Explanation:
8(j − 4) = 2(4j − 16)
[ Simplify both sides of the equation ]
8(j − 4) = 2(4j − 16)
(8)(j) + (8)(−4) = (2)(4j) + (2)(−16) (Distribute)
8j + −32 = 8j + −32
8j − 32 = 8j − 32
[ Subtract 8j from both sides ]
8j − 32 − 8j = 8j − 32 − 8j
−32 = −32
[ Add 32 to both sides ]
−32 + 32 = −32 + 32
0 = 0
Therefore, all real numbers are solutions.
find the relative minimum of y = 3x^3 + 12x^2 - 10x - 56
(___, __)
Round your answers to the nearest tenth
Answer:
(0.4, -57.9)
Step-by-step explanation:
y = 3x³ + 12x² - 10x - 56
dy/dx = 9x² + 24x - 10 = 0
x = [-24 +/- sqrt(24² - 4(9)(-10))]/(2×9)
x = -3.033006505, 0.3663398379
d²y/dx² = 18x + 24
For minima, d²y/dx² > 0 which is at x = 0.3663398379
y = 3(0.3663398379)³ + 12(0.3663398379)² - 10(0.3663398379) - 56
y = -57.90544608
If there is a bag of 3 blue cubes, 8 red cubes, and 4 yellow cubes and you drew from the bag 360 times, what is the probability of pulling a blue cube.
Answer:
After 360 attempts, there's a 100% probability of picking a blue cube.Step-by-step explanation:
There are 3 blue cubes, 8 ref cubes and 4 yellow cubes, which gives a total of 15 cubes.
Now, if you pick 360 times from the bag, the chances to get a blue cube is 100%, because there's only 15 cubes in total. For trial number 16, you wouldn't have any more cubes.
Therefore, after 360 attempts, there's a 100% probability of picking a blue cube.
Mr. Chandra drives to and from work each weekday. His trip is 15 miles one way. How many miles does he drive to and from work each week?
Answer:
150 is the answer I hope it helps
Answer:
150 miles
Step-by-step explanation:
15 x 2 x 5 = 150
2 times a day for 5 days
An art collector bought 20 paintings at an art fair, and wants to know the average price of the paintings she purchased at the fair. She adds the prices of all the paintings and divides this number by 20 to find an average price of $350. Is this price
a sample mean or a population mean, and which symbol would be used to denote it
Answer:
population mean
Step-by-step explanation:
This price is a population mean, and symbol used to denote it is μ = ΣX/N.
What is mean?A mean in maths is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
Mathematically,
Mean = Sum of the observations/number of observations
Now it is given that,
average price of the paintings = $350
Number of paintings = 20
Now since the average is calculated by adding the prices of all the paintings and divides this number by 20.
Thus, it is a population mean denoted by the summation of X divided by the number of values in population which is denoted by Ν
⇒ μ = ΣX/N
Thus, this price is a population mean, and symbol used to denote it is μ = ΣX/N.
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Un garrafón de 6 litros tiene agua hasta ¾ de su capacidad, si se quieren vaciar esa cantidad de agua en recipientes más pequeños de 0.5 litros. ¿Cuántos recipientes se podrán llenar?
Answer:
9 recipientes
Step-by-step explanation:
Para empezar, tenemos que encontrar a cuánto equivalen 3/4 partes de 6 litros.
Para poder hacer esto, multiplicamos:
[tex](6)(\frac{3}{4})= \frac{18}{4} =\frac{9}{2}=4\frac{1}{2}[/tex]
Por lo tanto, el garrafón tiene 4.5 litros de agua.
Ahora, vamos a dividir esta agua en recipientes de 0.5 litros, por lo tanto, vamos a hacer una división:
4.5 ÷ 0.5 = 9
Por lo tanto, se van a poder llenar 9 recipientes.
Se considera expresia E(x)=2(x+3)²-3(x-1)(x+3)+(x-2)²-31 unde x este numar real. Calculati valoarea absoluta a numarului A= E(1)-E(2)+E(3)-E(4).....+E(2019)-E(2020)
Answer:
The answer is "5051".
Step-by-step explanation:
Given equation:
[tex]\bold{E(x)= 2(x+3)^2-3(x-1)(x+3)+(x-2)^2-31}\\\\[/tex]
put the 1, 2, 3, ........2019, 20202:
When E(1),
[tex]E(1) =2(1+3)^2-3(1-1)(1+3)+(1-2)^2-31\\\\[/tex]
[tex]=2(4)^2-3(0)(4)+(-1)^2-31\\\\=2(16)-0+1-31\\\\=32+1-31\\\\=2[/tex]
When E(2),
[tex]E(2) =2(2+3)^2-3(2-1)(2+3)+(2-2)^2-31\\\\[/tex]
[tex]=2(5)^2-3(1)(5)+(0)^2-31\\\\=2(25)-15+0-31\\\\=50-15-31\\\\=4[/tex]
When E(3),
[tex]E(3) =2(3+3)^2-3(3-1)(3+3)+(3-2)^2-31\\[/tex]
[tex]=2(6)^2-3(2)(6)+(1)^2-31\\\\=2(36)-36+1-31\\\\=72-66\\\\=6[/tex]
When E(2019),
[tex]E(2019) =2(2019+3)^2-3(2019-1)(2019+3)+(2019-2)^2-31\\[/tex]
[tex]=2(2022)^2-3(2018)(2022)+(2017)^2-31\\\\=8,176,968-12,241,188+4,068,289-31 \\\\= 4038[/tex]
When E(2020),
[tex]E(2020) =2(2020+3)^2-3(2020-1)(2020+3)+(2020-2)^2-31\\\\[/tex]
[tex]=2(2023)^2-3(2019)(2023)+(2018)^2-31\\\\=8,185,058-12,253,311+4,072,324-31\\\\=4040\\[/tex]
[tex]\ Calculate: \\\\ \bold{A= E(1)-E(2)+E(3)-E(4).....+E(2019)-E(2020)}\\\\A= 2-4+6-8.....+4038-4040[/tex]
[tex]A= (2+6....+4038)-(4+ 8+12...4040)\\[/tex]
Formula:
[tex]t_n= a+(n-1)d\\\\\ When \\ \\ T_n =4040 \\ a= 4 \\ d= 4\\4040= 4+(n-1)4\\4040=4+4n-4\\4n=4040\\n= \frac{4040}{4}\\n= 1010\\\\When \\\\T_n =4038 \\ a= 2 \\ d= 4\\4038= 2+(n-1)4\\4038=2+4n-4\\4038=-2+4n\\4036=4n \\ n= \frac{4036}{4}\\n= 1009\\\\[/tex]
Formula for sum:
[tex]When, n= 1010\\ a=4 \\ l=4040\\ \\ S= \frac{n}{2}(2a+l)\\\\S= \frac{1010}{2} (2\times 4+4040)\\\\S= 505(8+4040)\\\\S_1= 2044240 \\\\\\[/tex]
[tex]When, n= 1009\\ a=2 \\ l=4038\\ \\ S= \frac{n}{2}(2a+l)\\\\S= \frac{1009}{2} (2\times 2+4038)\\\\S= 504.5(4+4038)\\\\S_2= 2039189 \\\\\\[/tex]
[tex]S= S_1-S_2\\\\S= 2044240 -2039189\\\\S= 5051[/tex]
The absolute value is = 5051
Use the information provided to write the equation of each circle. Photo attached
Answer:
( x + 4 )^2 + ( y - 15 )^2 = 1; Option A
Step-by-step explanation:
~ Let us apply the standard circle equation ( x - a )^2 + ( y - b )^2 = r^2, provided r ⇒ radius when centered at point ( a, b ) ~
1. If the center is provided to be ( -4, 15 ) we could substitute this value into the circle equation with variables x and y remaining such:
( x - ( - 4 ) )^2 + ( y - 15)^2 = r^2
2. Simplifying this equation, we have: ( x + 4)^2 + ( y - 15 )^2 = r^2
3. Now by point on the circle, it would be a point on the circumference, to be clear in more mathematical terms. So far we have eliminated two options, with two remain - and each of them has either a radius of 1 or 2. If the point on the circle is ( -4, 16 ) that would mean 1 more than 15, which means that with a radius of 1 ⇒ this point will be on the circle.
Answer: ( x + 4 )^2 + ( y - 15 )^2 = 1
Write an integer that represents 5 inches of snow melting. *
Answer:
-5
Step-by-step explanation:
There was five inches of snow, correct? Now, the five inches are melting. It's kinda like subtraction.
5 - 5
Question 6 Nicole split 5/6 pounds of candy among 3 people. What is the unit rate in pounds per person? Write your answer in simplest form.
Answer:
I'm glad you asked!
Step-by-step explanation:
5/18 pounds per person.
he problem already says what to do, we need to divide because that's what Karen is doing, she is spliting or dividing the pounds of candy for 3 people. So, we just need to divide 5/6 by 3,
[tex]\frac{5}{6} \div 3 = \frac{5}{6} \times \frac{1}{3} =\frac{5}{18}[/tex]
5/18 per person.A cell phone company charges $42 per month of service. The cost of a new
cell phone, plus 8 months of service, is $415.99. How much does it cost to
buy a new cell phone and 3 months of service?
Answer:
it will cost $205.99 dollars
Step-by-step explanation:
Help!
Thank you so much to whoever can help me!
Answer:
D for A then for B is C
Step-by-step explanation:
so if you calculate me but it is going to help you in this
Which equation can be used to solve for x?
Choose from the Equation Bank
Answer:
[tex]\frac{x-14}{2}=24[/tex]
Step-by-step explanation:
In the given figure two secants are intersecting outside the circle.
Angle formed by these secants = 24°
Measure of arcs intercepted = x° and 14°
Formula to get the unknown chord is,
24° = [tex]\frac{1}{2}(x-14)[/tex]
Therefore, equation (2) given in the equation bank will be used.
By further solving for the value of x,
24×2 = ( x - 14)
48 = x - 14
x = 48 + 14
x = 62°
Does this statement: The number of girls is double than the number of boys , apply to this this equation : G=2B ,or the statement that I made is not correctly worded for that equation ???
•Would this statement be for that equation G=2B , : the number of boys is double the number of girls .
?? Someone help me I’ve been thinking about this and is making me bothersome.
Answer: It sounds as if you worded it correctly the first time, though for a math assignment, I probably wouldn't use the term "doubled" (though it is technically correct)
Step-by-step explanation:
G = 2B is "The total number of girls is two times the number of boys"
B = 2G is "The total number of boys is two times the number of girls"
How many different committees with 4 members can be formed from 9 students
Answer:idk
Step-by-step explanation:
Answer:
2 committees
Step-by-step explanation:
9/4=2 with a remainder of 1
this means that only two full committees are possible
Sharon has a rectangular bedspread that measures 3 feet by 5 feet. She wants to
sew a fringe around the edge of the bedspread.
What length of fringe does Sharon need to purchase?
feet
Sharon gets a new bedspread that is 1.25 feet longer.
What length of fringe does Sharon need for the longer bedspread?
feet
Answer:
18.5
Step-by-step explanation:
The length of fringe Sharon needs to purchase is: 16 feet
If Sharon gets a new bedsheet of 1.25 feet longer, she will need a new length of fringe of: 18.5 feet
Recall:
Perimeter of a rectangular = 2(length + width)
Given the following:
length of Sharon's rectangular bedspread = 3 feetwidth of Sharon's rectangular bedspread = 5 feetThe length of fringe Sharon will need to purchase = perimeter of Sharon's rectangular bedspread
Perimeter = 2(3 + 5) = 16 feet
For a new bedspread that is 1.25 feet longer, she would get the following length of fringe:
Length = 3 + 1.25 = 4.25 feet
Width = 5 feet
New Perimeter = 2(4.25 + 5) = 18.5 feet
Learn more about perimeter of rectangle on:
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PLZZZZ HELP WILL MARK BRAINLIEST IF CORRECT
8. While doing bicep curls, Tamara applies 155 Newtons of force to lift the dumbbell. Her forearm is 0.366 meters long and
she begins the bicep curl with her elbow bent at a 15° angle below the horizontal, in the direction of the positive x-axis.
Determine the magnitude of the torque about her elbow.
(Show work)
Answer:
54.8 Nm
Step-by-step explanation:
Torque is the cross product of the radius vector and force vector:
τ = r × F
Another way to write it is the product of the radius and force magnitudes times the sine of the angle between the vectors.
τ = rF sin θ
Here, r = 0.366 meters and F = 155 Newtons. F is in the +y direction, and r is 15° below the +x axis, so the angle between the vectors is 90° − 15° = 75°.
τ = (0.366 m) (155 N) (sin 75°)
τ = 54.8 Nm
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Find the area of the trapezoid.
12
8
6
Which is greater, 4.87 x 109 or 9.212 x 108?
Answer:9.212 x 108 is greater
Step-by-step explanation:4.87 x 109 =530.83
9.212 x 108 = 994.896
Which shows how 9.212 x 108 has a greater outcome than 4.87 x 109
Anne Deno purchased a house to fix up and use as a rental property. The house sold for $123,400. Anne made a $23,400 down payment and mortgaged the rest. Her annual expenses for mortgage interest, taxes, repairs, insurance, and depreciation totaled $8,750. Anne rented the house for $960 per month. What is the annual net income?
Answer:
The annual net income is $2770
Step-by-step explanation:
The annual net income on the rental property is the yearly rental minus the yearly annual expenses which consist mortgage interest,taxes, repairs,insurance as well as annual depreciation totaling $8,750
Annual rental =monthly rental* 12 months=$960*12=$ 11,520.00
Annual net income=$ 11,520.00-$8,750.00=$2,770
The annual net income is the gain that accrues to Anne Deno for purchasing the rental property and the subsequent letting to tenants
A flagpole is 10 m tall and has a shadow that is 7 m long. At the same time how tall is a nearby building if its shadow is 28m long?
Answer:
40m
Step-by-step explanation:
28÷7=4
10 x 4= 40
Identify the outlier in the data set. 21, 22, 20, 74, 25, 22, 29, 26, 26, 22, 21, 22
Answer:
74
Step-by-step explanation:
21, 22, 20, 74, 25, 22, 29, 26, 26, 22, 21, 22
An outlier is a piece of data that is significantly different from the other pieces of data
All of the data is in the twenties except 74. It is significantly different
It is an outlier
Hello!
Answer:[tex]\boxed{ \bf The~outlier~in~the~data~set~is~74.}[/tex]
__________________________________________________
Explanation:An outlier is basically a number that is much greater or smaller than the rest of the numbers in the data set. In this case, all of the numbers are twenty-something, except for 74. There is a huge difference between 74 and these numbers.
Which value is equivalent to (1/3)^x =27^x+2
Answer:
3^-x= 3^ 3x + 6
Step-by-step explanation:
match bases
remeber if a^b=a^c where a=a then b=c
remember
(x^m)^n=x^(mn)
1/(x^m)=x^-m
base of 3
(1/3)^x=(3^-1)^x=3^(-x)
27^(x+2)=(3^3)^(x+2)=3^(3x+6)
3^(-x)=3^(3x+6)
-x=3x+6
0=4x+6
-6=4x
-3/2=x
Answer:
x~-0.59179865 or -3/2=x
Step-by-step explanation: I don't wanna type anymore.
what is the answer to x= ??
Answer:
x=3.8
Step-by-step explanation:
Divide 5 by 9 to get the ratio in which the figure was reduced, then multiply this by 7 to get the value of x. In other words, 5/9x7= x
HELP PLEASE!!!! Both of the questions follow with the chart
Answer:
1. 0.75
2. 0.25
Step-by-step explanation:
Let's start off with number 1
There is only 2 answers that would make sense.
0.6 and 0.75
But only one is the answer
To find the answer you have to go to the columns that represent the equation
Then you divide
108/144
= 0.75
Now in number 2
You have to place the information in the graph where it corresponds and you get the numbers 24/96
Now divide
24/96
=0.25
Hope this helped :)
Have a good one!
Answer:
Let's denote:
probability that a person paid regular admission P(A)
probability that a person purchased no snack P(B)
probability that a person got discount on admission P(C)
probability that a person purchased snack P(D)
For picture 1
Applying Bayes theorem, we have:
probability that a person paid regular admission, given that person purchased no snack : P(A|B) = P(A ∩ B)/P(B) = (108/240)/(144/240) = 108/144 = 0.75
=> Option D is correct
For picture 2
As shown in picture, we have:
probability that a person got discount on admission and purchased snack:
P(C ∩ D) = 24/240 = 0.1
=> Option C is correct
Hope this helps!
:)
Please help!
Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.
To the nearest cent, how much will he have in 4 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$ 4,425.69
Step-by-step explanation:
A = $ 4,425.69
A = P + I where
P (principal) = $ 4,253.00
I (interest) = $ 172.69
PLEASE HELP THIS IS SUPER URGENT
Answer:
have no idea lol im terrible at math
what is the answer to 200% of 32?
Answer:
200% of 32 would be : 32 x 200/100 = 32 x 2 = 64
Hope this helps!
:)
Answer:
64
Step-by-step explanation:
When you want to know the 200% of a number just simply multiply it by 2.
In general, if you were to face with questions like this, just remove the zeros in the percentage and multiply.
200% of 32
2 × 32 = 64