Answer:
[tex]\frac{1}{524160} or 1.910^{-6}[/tex]
Step-by-step explanation:
In order to solve this, you would need to multiply the probability of you choosing the one that goes first, so 1 in 16 discs, then the next one so 1 in 15, and so on untill the fifth disc.
So you would have to do this:
[tex](\frac{1}{16})(\frac{1}{15})(\frac{1}{14})(\frac{1}{13})(\frac{1}{12})\\\frac{1}{524160}[/tex]
That is the probability that the rack ends up in alphabetical order, if you pull discs randomly, 1 in 524160 chances.
Probabilities are used to determine the chances of an event.
The probability that the rack ends up in alphabetical order is [tex]\mathbf{ \frac{1}{524160}}[/tex]
The given parameters are:
[tex]\mathbf{CD = 16}[/tex]
[tex]\mathbf{r = 5}[/tex] -- CDs to arrange
So, the total number of arrangements of 5 CDs from the 16, is:
[tex]\mathbf{Total = ^{16}P_5}[/tex]
Apply permutation formula
[tex]\mathbf{Total = \frac{16!}{(16 - 5)!}}[/tex]
This gives
[tex]\mathbf{Total = \frac{16!}{11!}}[/tex]
Expand
[tex]\mathbf{Total = \frac{16 \times 15 \times 14 \times 13 \times 12 \times 11!}{11!}}[/tex]
[tex]\mathbf{Total = 16 \times 15 \times 14 \times 13 \times 12 }[/tex]
[tex]\mathbf{Total = 524160}[/tex]
There is only one possibility of the CDs being in alphabetical order.
So, the probability is:
[tex]\mathbf{Pr = \frac{1}{524160}}[/tex]
Hence, the probability that the rack ends up in alphabetical order is [tex]\mathbf{ \frac{1}{524160}}[/tex]
Read more about probabilities at:
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Which situation could be represented by the equation - 30+30 = 0?
Rita bought a hat for $30. She then bought some headphones for $30.
Donna loaned $30 to her brother. He then paid her back $30 the next day.
Wen drove 30 miles to the library. She then drove 30 more miles to her college.
Mika filled a tank with 30 gallons of water. She then filled the tank with 30 more gallons.
O
Answer:
"Donna loaned $30 to her brother. He then paid her back $30 the next day" is the correct situation
A right triangle has one 40° angle. Find the other two angles.
° (smaller value)
° (larger value)
use the graph if y=f(x) below to find f(4)
Answer:
there is no graph. can you edit the question?
Answer:
Ok:
Step-by-step explanation:
Welp, I don't see the graph but I can tell you what to do. You find x = 4, and draw a vertical line up. Once your line reaches the graph, see what the y value is. If the question is nice, you should get an exact integer number
18+45-9(2)
Using order of operations
Answer:
45
Step-by-step explanation:
Answer:
45
Step-by-step explanation:
18 + 45 - 9(2)
PEM -> 18 + 45 - 18
AS -> 45 (18 and - 18 = 0)
What is the value of the number 8 in 4,850,23
?
Answer:
800,000.
Step-by-step explanation:
The 8 is in the hundred thousands place.
S is the midpoint of RT. RS=x2 and ST= 8-2x. Find both values of x.
Answer:
x = -4 or 2
Step-by-step explanation:
We are told that S is the midpoint of RT.
Thus; RS = ST.
Now we are told that RS = x² and ST = 8 - 2x
Thus;
x² = 8 - 2x
x² + 2x - 8 = 0
Using quadratic formula;
x = [-2 ± √(2² - 4(1 × - 8))]/(2 × 1)
x = (-2 ± √36)/2
x = (-2 ± 6)/2
x = -4 or 2
The Sweet Shoppe sells a half-dozen cupcakes for $16.50. The Cupcake Factory sells a dozen cupcakes for $30.00. Jameska purchases two cupcakes from each shop. What is the difference in the purchases?
The difference in the purchases is $
.
Answer:
$1.50
Step-by-step explanation:
The cost of half of dozen of cupcakes at Sweet Shoppe = $16.50.
The cost of a dozen cupcakes at Cupcake factory = $30.00. Therefore the cost of half a dozen cupcakes at Cupcake factory = $30.00 / 2 = $15.00
The difference in purchases = cost of half a dozen cupcakes at Sweet Shoppe - cost of half of dozen of cupcakes at cupcake factory
The difference in purchases = $16.50 - $15.00 = $1.50
This means that their is a difference of $1.50 for half a dozen cupcakes between the Sweet Shoppe and cupcake factory.
Someone please help!!!!!!
Answer:4/5 > 5/7 > 3/8 > 1/3 > 2/7
Step-by-step explanation: just make them all one denomator and do the greatest to least greatest
The side lenghts of Triangle B are all 5 more than the side lengths of Triangle A.Can Triangle B be a Scaled copy of Triangle A? Yes Or No
Answer:
No
Step-by-step explanation:
Scaling is the procedure for either increasing or decreasing the size of a given object. While a scale is the representative fraction used for the purpose.
scale = [tex]\frac{length on drawing}{original length}[/tex]
For triangle B to be a scaled copy of triangle A,
scale = [tex]\frac{5}{1}[/tex]
= 5:1
This is an enlarged scale, therefore each side of triangle A should be multiplied by 5 not increased by 5.
Triangle B is not a scaled copy of triangle A.
Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs?
Answer: 4.50
Step-by-step explanation:
6.50 minus 2.00 is 4.50
PLEASE HELP!!!!!!!!BRAINLIEST PLUS 16 POINTS
y = −5x2 + 10x + 12.
Part A: Show your work to complete the square of the function. (1 point)
Part B: Identify the vertex of the function. (1 point)
Part C: Explain how to determine the maximum or minimum value of the function. (2 points)
Answer:
5x2=10+10=20+12= 32.
Step-by-step explanation
The correct answer is 32.
Hope I helped.
Help!Asap!
The Surface areas of the two solids shown above are equal
A.true
B.false
Answer:
False
Step-by-step explanation:
For the one on the left I got 234 and the one on the right I got 248
Ms. Lynch needs to ship 89 boxes. 47 boxes weigh 150 pounds each. Each of the other boxes weighs 210 pounds. Mia says that all 89 boxes can fit into one container. She reasons that 47x150 is less than 7,500 and 42x210 is a little more than 8,000, so the sum of their weights should be less than 15,000. Do you agree? Explain your reasoning.
Answer:
No . Mia states that the sum of the weights should be less than 15,000 .
Step-by-step explanation:
42x150=7050
42x210=8820
7050 + 8820 = 15,870 which is not less than 15,000
A robot can complete 7 tasks in 2/3 hour. Each task takes the same amount of time. How long does it take the robot to complete one task? How many tasks can the robot complete in one hour?
Answer:
a. is 2/21 hours to complete one task
b. is 10 1/2 tasks in one hour
Robot takes 2/21 hour to complete the task.
In one hour, robot complete 21/2 task.
What is ratio?Ratio basically compares quantities, that means it show value of one quantity with respect to other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Time taken to complete 7 tasks = 2/3 hours.
To find the time taken to complete one task and tasks that completed in one hour,
Use ratio method,
7 tasks take = 2/3 hours
1 task takes = 2/(3 x 7) = 2 / 21 hours.
In 2/3 hours = 7 tasks completed,
1 hour = 21/2 tasks.
In one hour, 21/2 tasks can be completed.
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Which of the following words is defined as “the study of hearing”? audiology audiologist audiometer audio
Answer:
audiology
Step-by-step explanation:
Because.
Answer:
A is correct
Step-by-step explanation:
I hope you find it in your heart to give me brainliest
Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15
Answer:
8/15
Step-by-step explanation:
-4/5 ÷ -3/2
Copy dot flip
-4/5 * -2/3
Multiply the numerators
8
Multiply the denominators
15
Put the numerator over the denominator
8/15
Answer: 8/15
Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.
Suppose that Elsa and Frank determine confidence intervals based on the same sample proportion and sample size. Elsa uses a larger confidence level than Frank. How will midpoint and width of confidence intervals compare
Answer:
elsa's interval width will be greater than that of frank
Step-by-step explanation:
first of all we are told that both Elsa and Frank have the same sample proportion so their midpoint is also going to be the same.
now as the confidence level goes higher, so also would the margin of error increase. then the width of the confidence interval would rise so it can be more confident.
from this question elsa has a larger confidence level therefore her intervals width will be greater than franks own.
Its late and i need this pls
Gretchen made a paper cone to hold a gift for a friend. The paper cone was 11 inches high and had a radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for π.
The volume is ___in^3
Answer:
184.2 in^3
Step-by-step explanation:
vol of cone=
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
[tex]3.14 \times 16 \times \frac{11}{3} [/tex]
=184.2
what is 8 times 0.9 equal
Answer:
7.2
Step-by-step explanation:
Calendar
Mr. Torrence goes to La Jalpita to buy rolled ice cream. An ice cream with no toppings is $2.50 and
every topping is priced at $0.29 each. Show your work and justify your answers.
Files
a) Write an algebraic equation to find the total cost (C) for ice cream depending on (t), the number of
toppings. Label the variables.
...
Equation: C=0.295 +2.50
b) Using the equation you wrote, calculate (algebraically) how many toppings Mr. Torrence can buy if
he wants to spend only $4.00 on it?
func
Apps
al
1
Answer: Mr. Torrence can get
toppings if he only has $4.00 to spend.
Help
tan
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Answer:
(a) C = 0.29t + 2.50
(b) 5
Step-by-step explanation:
The variables are defined as follows:
t = the number of toppings
C = total cost for ice cream
It is provided that:
An ice cream with no toppings is $2.50.Every topping is priced at $0.29 each.(a)
The algebraic equation to find the total cost for ice cream depending on the number of toppings is:
C = 0.29t + 2.50
(b)
Compute the number of toppings Mr. Torrance can buy if he wants to spend only $4.00 on it as follows:
C = 0.29t + 2.50
4.00 = 0.29t + 2.50
0.29t = 4.00 - 2.50
0.29t = 1.50
t = 5.1724
t ≈ 5
Thus, Mr. Torrance can buy 5 toppings.
Find the product of (x + 3)(x - 3)
Answer:
= x ^2-9 answer.,...,...,..
Find the average height of the building shown in the table hint to find the average of the values and divide the number of value
In order to find the average, you need to sum all values and the result divided by the number of values.
For example, let's say that you have these values: 2, 3, 4, 5 ,5 ,6 ,7.
The first
The second step is divide this result by the number of values:
Hence, the average for this example is 4.6.
Simplify: Negative two and one-third minus negative ten and one-sixth Negative twelve and one-half Twelve and one-half Seven and five-sixths Negative seven and five-sixths
Answer: Seven and five-sixths
Step-by-step explanation:
Simplify : Negative two and one-third minus negative ten and one-sixth
(-2 1/3) - (-10 1/6)
(-7/3) - (-61/6)
Take L. C. M of 3 and 6 =. 6
(-14) - (-61) / 6
(-14 + 61) / 6
47/ 6
= 7 5/6 = Seven and five-sixths
Answer:
Answer: Seven and five-sixths
Step-by-step explanation:
Simplify : Negative two and one-third minus negative ten and one-sixth
(-2 1/3) - (-10 1/6)
(-7/3) - (-61/6)
Take L. C. M of 3 and 6 =. 6
(-14) - (-61) / 6
(-14 + 61) / 6
47/ 6
= 7 5/6 = Seven and five-sixths
Step-by-step explanation:
2. During a trip, Dawn rented a car for an initial fee of $20 plus $2 per mile. The total charge comes
to $40. Which equation can be used to calculate the number of miles that Dawn drove the rental
car?
Answer:
2x+20=40
Step-by-step explanation:
40
Step-by-step explanation:
i did 20x2=40 to find the answer
40. Mari has 42 green beads, 30 yellow beads, and 54
blue beads. She wants to use all of the beads and
string the beads so that she has the same number of
each color on a string of beads. What is the greatest
number of strings of beads she can make?
Answer:
30
Step-by-step explanation:
30 because she has 30 yellow beads and we can take away 30 from the other numbers. So 30 is the greatest number of strings of beads she can make. Hope this helped,have a great day!
Joe is the proud owner of Joe's Old Time BBQ Pit. He sells two types of BBQ sauce - Hot N' Spicy and Mild Mannered. Each gallon of Hot N' Spicy requires 2 quarts of tomato sauce and 2 cups of hot peppers. Each gallon of Mild Mannered requires 3 quarts of tomato sauce and 1 cup hot peppers. Joe makes a profit of $38 on each gallonof Hot N' Spicy and $35 profit on each gallon of Mild Mannered. He has 18 quarts of tomato sauce and 10 cups of hot peppers on hand. How many gallons of each type of BBQ sauce should he make to maximize his profits?
Answer:
P=$254
Step-by-step explanation:
let Hot N' Spicy be x
and Mild Mannered be y
the objective function is
38x+35y=P
the constraints are
1. tomato sauce
2x+3y=18--------1
2. hot peppers
2x+y=10--------2
solving 1 and 2 we have
using substitution method
2x+y=10--------2
y=10-2x
put y=10-2x in eqn 1
2x+3(10-2x)=18
2x+30-6x=18
2x-6x=18-30
-4x=-12
x=12/4
x=3
put x=3 in eqn 2 we have
2(3)+y=10
6+y=10
y=10-6
y=4
He should make 3 gallons of Hot N' Spicy
and 4 gallons Mild Mannered
38(3)+35(4)=P
114+140=P
254=P
P=$254
The ratio of blue paint to yellow paint in a certain color of green paint is 2.1. A painter wants a total of 14 quarts of green paint Blue paint is
$16.64 per quart and $34.96 per gallon. Buying the least amount needed, how much will it cost to purchase the blue paint in the most economic
way?
Answer:
The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])
Step-by-step explanation:
Both gallon and quart are capacity units, we must keep in mind that a gallon equals 4 quarts. We need to convert each price in the same units. In this case, we decided to use US dollars per quart as our reference unit. Hence:
Blue paint 1 ([tex]16.64\,\frac{USD}{qt}[/tex])
No unit conversions are needed.
Blue paint 2 ([tex]34.96\,\frac{USD}{gal}[/tex])
We proceed to the following conversion:
[tex]x = 34.96\,\frac{USD}{gal}\times \frac{1\,gal}{4\,qt}[/tex]
[tex]x = 8.74\,\frac{USD}{qt}[/tex]
The blue paint with a unit price of [tex]34.96\,\frac{USD}{gal}[/tex] is the most economic option for the painter. (Cost: [tex]x = 8.74\,\frac{USD}{qt}[/tex])
Help me with this question pleasee
Answer:
√23 = a
Step-by-step explanation:
/ab/²= /ac/²+/bc/² (Pythagoras theorem)
12² = a² +11²
144 = a² + 121
144 - 121 = a²
23 = a²
√23 = a
find the slope from the table
Answer:
5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
Are these triangles congruent? If so, name the triangle congruence method.
Answer:
The answer you chose is correct
Step-by-step explanation: