Find the total number of outcomes from rolling a number cube with sides labeled 1-6 and choosing a letter from the word "NUMBERS." Then find the probability of rolling a 6 and choosing an M.
Answers
Answer:
2
Step-by-step explanation:
The number of outcomes from rolling a number cube and from word is 42 and the probability of rolling a 6 and choosing an M is 1/42.
What is probability?
Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.
For the given situation,
A number cube labeled 1 - 6 is rolled and a letter is chosen from the word "NUMBERS".
Sample space for number cube is 6 and for word is 7.
The event is the probability of rolling a 6 and choosing an M.
The probability of rolling a 6 and choosing an M is
\(P(e)=(\frac{1}{6})(\frac{1}{7} )\)
⇒ \(P(e)=\frac{1}{42}\)
Hence we can conclude that the number of outcomes from rolling a number cube and from word is 42 and the probability of rolling a 6 and choosing an M is 1/42.
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Related Questions
Robert's book bag is weighing him down. His bag alone weighs 4 pounds. His library book
weighs 2 pounds. The math book is 4 times the weight of the library book, and his science
book is 2 times the weight of the math book. How much does his book bag weigh with all
these books? What is the heaviest book in his book bag?
Answers
The library book weighs 2 pounds.
The math book is 4 times the weight of the library book, so it weighs 4 * 2 = 8 pounds.
The science book is 2 times the weight of the math book, so it weighs 2 * 8 = 16 pounds.
To find the total weight of Robert's book bag, we add the weights of all the books and the bag:
4 pounds (bag) + 2 pounds (library book) + 8 pounds (math book) + 16 pounds (science book) = 30 pounds.
Therefore, Robert's book bag weighs 30 pounds with all these books.
To determine the heaviest book in his book bag, we compare the weights of the books:
The bag weighs 4 pounds.
The library book weighs 2 pounds.
The math book weighs 8 pounds.
The science book weighs 16 pounds.
From these options, the science book is the heaviest, weighing 16 pounds.
Answer:
1) 30 pounds is the weight of the bag all together
2) science book is the heaviest book
Step-by-step explanation:
bag=4 pounds
library book=2 pounds
maths book=2×4=8 pounds
science book=8×2=16 pounds
4+2+8+16=30 pounds all together
heaviest book= science book (16 pounds)
Explain your answer to the question in the picture with steps please, thank you.
Answers
Part (a)
Answer: Constant of proportionality = 5/8
Reason:
The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.
The direct proportion line must pass through the origin. In other words, the y intercept must be zero.
=====================================
Part (b)
Answer: Not Proportional
Reason:
The y intercept isn't zero.
Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.
Lauder Company had fixed costs of $282,500, variable costs of $645,000, and actual sales amounted to $1,100,000. If the company has a break-even point at $750,000 in sales revenue.a. determine the margin of safety expressed in dollars
b. determine the margin of safety expressed as a percentage of sales. Enter percentage amount as a whole number.
____%
c. Determine contribution margin ratio
_____%
d. Determine the operating income
$______
Answers
The Operating income is $172,500.
To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.
a. Margin of Safety:
Margin of Safety = Actual Sales - Break-even Sales
Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:
Margin of Safety = $1,100,000 - $750,000 = $350,000
Therefore, the margin of safety is $350,000.
b. Margin of Safety as a Percentage of Sales:
Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100
Using the values from the previous calculations:
Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%
Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.
c. Contribution Margin Ratio:
Contribution Margin Ratio = (Contribution Margin / Sales) * 100
To calculate the contribution margin, we need to subtract variable costs from sales:
Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000
Using the values, we can calculate the contribution margin ratio:
Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%
Therefore, the contribution margin ratio is approximately 41.36%.
d. Operating Income:
Operating Income = Sales - Variable Costs - Fixed Costs
Using the values provided:
Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500
Therefore, the operating income is $172,500.
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This graph represents the flight path of a model rocket launched in a park.
What do the key features of the curve represent in terms of the flight path of the rocket?
Chose from the drop-down to match each situation.
ill give brainlyest to the first to correctly answer this
Answers
The drop down menu is used to match each situation as below.
1. The rocket reached its maximum the x-value of the vertex
height in 5 s.
2. ground level the y-intercept
3. The rocket launcher was the y-value of the point containing
on the ground. the x-intercept on the right
4. The rocket was in the air 10 the x-intercept on the right
5. The maximum height of the the y-value of the vertex
rocket is 50 ft.
6. the time the rocket was the x-value of the point containing the
launched y-intercept
What is the key feature of the curveThe key features of the curve such as the x intercept is the point the launcher and the rocket were on ground.
The vertex is the point the rocket had the maximum and height.
Generally, the curve traces a parabolic path
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20Chris has a bag of four apples. Three of the apples are red and one of them is green. He also has a bag with two sandwiches.One of the sandwiches is ham and the other is turkey. If he reaches into both bags without looking, what is the probability thathe will grab a red apple and a ham sandwich?ОА.ос. ?OD. 1ResetResetSubmit
Answers
SOLUTION:
Step 1:
Red Apple = 3
Green Apple = 1
Total number of Apple = 4
Step 2:
Ham sandwich = 1
Turkey sandwich = 1
Total number of sandwiches = 2
Step 3:
To find the probability that he will grab a red apple and a ham sandwich;
This is the probability of red apple multiplied by the probability of ham sandwich.
\(\begin{gathered} Pr\text{ (Red) x Pr (ham)} \\ \frac{3}{4}\text{ }\times\text{ }\frac{1}{2} \\ \\ \frac{3}{8} \end{gathered}\)CONCLUSION:
The probability that he will grab a red apple and a ham sandwich is 3/8
Bryan puts $200.00 into an account to use for school expenses. The account earns 3% interest, compounded monthly. How much will be in the account after 5 years?
Answers
We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where:
A = the amount of money in the account after 5 years
P = the principal (initial amount), which is $200.00
r = the annual interest rate, which is 3% or 0.03 as a decimal
n = the number of times the interest is compounded per year, which is 12 since it is compounded monthly
t = the time in years, which is 5
Plugging in these values, we get:
A = $200.00(1 + 0.03/12)^(12*5)
A = $200.00(1.0025)^60
A = $200.00(1.1665)
A = $233.30
Therefore, there will be $233.30 in the account after 5 years.
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answers
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
Lizette earns $10 in gas money for driving to babysit and then earns $8 for each hour she
babysits the kids. How much money will she make for 5 hours of babysitting?
Answers
Answer:
$30
Step-by-step explanation:
8 x 5 = 40
40 - 10 = 30
f(x) = 3х + 5
Answer
Answers
Answer:
x= -5/3
Step-by-step explanation:
f(x)=3x+5
0=3x+5
-3x=5
x=- 5/3
Alternative form: x= -1 2/3, x= -1.6
Determine the turning points and distinguish between them when necessary y=x³ - 3x - 9x + 4
Answers
The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).
To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.
1. Find the derivative of the function:
y' = 3x² - 6x - 9
2. Set the derivative equal to zero and solve for x:
3x² - 6x - 9 = 0
3. Factorize the quadratic equation:
3(x² - 2x - 3) = 0
4. Solve the quadratic equation by factoring or using the quadratic formula:
(x - 3)(x + 1) = 0
This gives us two possible values for x: x = 3 and x = -1.
5. Substitute these critical points back into the original function to find the corresponding y-values:
For x = 3:
y = (3)³ - 3(3)² - 9(3) + 4
= 27 - 27 - 27 + 4
= -23
For x = -1:
y = (-1)³ - 3(-1)² - 9(-1) + 4
= -1 - 3 + 9 + 4
= 9
6. Therefore, the turning points are (3, -23) and (-1, 9).
Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.
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Find the area of the trapezoid.
10.5 cm
9.28 cm
21.1 cm
[ ? ] cm2
Enter the exact answer. Do not round.
![Find the area of the trapezoid.10.5 cm9.28 cm21.1 cm[ ? ] cm2Enter the exact answer. Do not round.](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Xf0UMOgIVNDyhfXhmVVcdAbsE7gxt9IN.png)
Answers
Answer:
A=a+b
2h
Step-by-step explanation: A base
b base
H height
A≈208.68 aint the best ☁️
☁️
☁️
\|/
☁️
☁️ ☁️
_
Answer:
146.624
Step-by-step explanation:
double checked it after using a search engine and the comment on the post above me, a cellus said it was correct.
find the mean and median of each of the following sets of data. determine the deviation from the mean for each data point within the sets and find the mean deviation for each set. 24.49 24.68 24.77 24.83 24.73
Answers
The average distance from the mean is 0.09.
The mean is also known as the average and is calculated by adding up all the values in the set and then dividing the sum by the total number of values.
So, for the given set of data: 24.49, 24.68, 24.77, 24.83, 24.73, the mean would be calculated as follows:
Mean = (24.49 + 24.68 + 24.77 + 24.83 + 24.73) / 5
= 24.70
It tells us what the typical value is within the data set. In this case, the mean value of the data set is 24.70.
Next, let's find the median of the set of data. The median is the middle value of a data set when it is arranged in numerical order. In this case, the data set is already arranged in numerical order, so we can easily find the median.
The median value of the data set is the middle value, which is 24.77.
Now, we will calculate the deviation from the mean for each data point within the set. The deviation from the mean tells us how far each value is from the mean value. This is calculated by subtracting the mean from each value in the set.
Deviation from the mean for each data point:
-0.21, -0.02, 0.07, 0.13, 0.03
As you can see, some values are above the mean, and some are below the mean. The deviation from the mean can be used to determine how spread out the data is from the mean value.
Finally, we will calculate the mean deviation for the set. The mean deviation is the average of the absolute values of the deviation from the mean.
Mean deviation = (|(-0.21)| + |(-0.02)| + |0.07| + |0.13| + |0.03|) / 5
= 0.09
The mean deviation tells us the average distance from the mean value.
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CAN SOMEONE HELP WITH THIS QUESTION?
Answers
The value of the given summation is:
\(\sum (29a_i - 13b_i) ]= -30\)
How to find the sum?Here we know that the sums are:
\(\sum a_i = -10\\\\\sum b_i = -20\)
And we want to find the value of the sum:
\(\sum (29a_i - 13b_i)\)
First we can distribute the sum to get:
\(\sum 29a_i + \sum - 13b_i\)
And take the coefficients out of the sum:
\(29\sum a_i -13\sum b_i\)
Now replace the known values:
\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)
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A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answers
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
Answers
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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solve the equation
Answers
Answer:
x = 10
Step-by-step explanation:
2x/3 + 1 = 7x/15 + 3
(times everything in the equation by 3 to get rid of the first fraction)
2x + 3 = 21x/15 + 9
(times everything in the equation by 15 to get rid of the second fraction)
30x+ 45 = 21x + 135
(subtract 21x from 30x; subtract 45 from 135)
9x = 90
(divide 90 by 9)
x = 10
Another solution:
2x/3 + 1 = 7x/15 + 3
(find the LCM of 3 and 15 = 15)
(multiply everything in the equation by 15, then simplify)
10x + 15 = 7x + 45
(subtract 7x from 10x; subtract 15 from 45)
3x = 30
(divide 30 by 3)
x = 10
Use the information below to find the value of x. Explain your steps.
Answers
A piece of wire is 25 cm and has a weight of 10 grams. Another piece of the same wire is 30 cm long. Calculate the weight of the 30 cm piece of wire. working out please
Answers
Answer:
75 grams
Step-by-step explanation:
If 25 cm = 10 grams
Then 1 cm = 25/10
1 cm = 2.5 grams
To find 30 cm = 2.5 times 30 grams
30 cm = 75 grams
The monthly rents (in dollars) paid by 9 people are given below.
(Note that these are already ordered from least to greatest.)
mean,median.
780,910,980,1000,1025,1045,1070,1095,1185
Suppose that one of the people moves. His rent changes from 1185 to 100
Answers
Answer:
increases by 30
Step-by-step explanation: its right
Brainliest if correct
Answers
Answer:
x=29
Step-by-step explanation:
We know y is 16. We can write 16 instead of y in the equation.
y=x-13
16=x-13
Now we can add 13 to both sides of the equation.
16+13=x-13+13
29=x
x is equal to 29.
Answer:
x = 29
Step-by-step explanation:
since y = 16
16 = x -13
Add 13 to both sides of the equation
16 + 13=x-13+13
Simplify
x = 29
[RevyBreeze]
Use the distance and slope formula to prove that qaudlateal ABCD IS A PARLLAGRAM
Answers
Answer:79
Step-by-step explanation:
Please answer this correctly
Answers
Answer:
Look at the money bags below!!! (but I'll give you the answer)
Step-by-step explanation:
John F: 7 full bags - 1 half
Juan A: 9 full bags
Jason A: 3 full bags
Nick J: 3 full bags- 1 half
Alfonso S: 8 full bags
Hope this helped and wasn't confusing!!! xx - Asia
Jo has a 10 GB monthly cell phone plan. Jo has used 8 GB in the first 10 days of the month. At that rate, how many GB will Jo use after a month of 30 days?
Answers
Answer:
Step-by-step explanation:
1st 10 days - 8 GB
2nd 10 days - 8 GB
3rd 10 days - 8 GB
________________
30 days - 24 GB
I just need the answer
Answers
3/2 inches of snow fell in 3/4 of an hour. Which two statements are correct?
Answers
Answer:
A and E
Step-by-step explanation:
Which relation IS a function? A.{(3, -2), (5, 1), (1, -1), (4, 4), (5, 4)} B.{(2, 3), (2, 2), (3, 4), (4, 3), (5, 0)} C.{(1, 5), (2, 4), (3, 7), (2, 2), (1, -1)} D.{(3, 3), (2, 3), (1, 3), (0, 3), (-1, 3)}
Answers
Answer:
Step-by-step explanation:
the answer is D because in D none of the x's repeat
An account pays 7% per year simple interest. In year 1, the amount in the
account is
$950. How much is in the account in year 6?
Answers
The amount in year 6 is $1282.5.
What is simple interest?
Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Given,
rate of interest = 7%
time = 1 year
Amount on first year = $950
First we will calculate simple interest for 5 years, because amount is available for 1 year.
SI =PRT
SI = 950(7/100)1
SI = $332.5
Therefore, the amount after 6 years = 950+332.5
=$1282.5
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A map of a highway has A scale of 2 inches= 27 miles. The length of the highway on the map is 9 inches. There are 7 rest stops equally spaced on the highway, including one at each end. You’re making a new map with a scale of 1 inch= 30 miles. How far apart are the rest stops on the new map?
Answers
Answer:
From what i've researched, your answer might be "5 miles apart." or possilby "25.7 miles apart."
Step-by-step explanation
Im sorry if none of these answers are correct.
pls answer ASAP Plss
Answers
Buddy it's actually Isosceles Triangle because of the symbols used in the diagram
A company that makes cartons finds that the probability of producing a carton with a puncture is 0.03, the probability that a carton has a smashed corner is 0.08, and the probability that a carton has a puncture and has a smashed corner is 0.002. Answer parts (a) and (b) below. (a) Are the events "selecting a carton with a puncture" and "selecting a carton with a smashed corner" mutually exclusive? Explain. A. No, a carton cannot have a puncture and a smashed corner. B. No, a carton can have a puncture and a smashed corner. Your answer is correct.C. Yes, a carton cannot have a puncture and a smashed corner. D. Yes, a carton can have a puncture and a smashed corner. (b) If a quality inspector randomly selects a carton, find the probability that the carton has a puncture or has a smashed corner. The probability that a carton has a puncture or a smashed corner is nothing.
Answers
Answer:
(a) Having a smashed corner need to now not depend on whether or not the carton had a puncture or not,
so these occasions have to be independent.
One manner to check it the usage of the given probabilities:
If P(A)P(B) = P(A and B), then the events are independent.
Here we have : (0.05)(0.08) which is 0.004, that is P(A and B), so the events are independent.
(b) P(A or B) = P(A)+P(B)-P(A and B) = 0.05 + 0.08 – 0.004 = 0.126
Step-by-step explanation:
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