The probabilities are given as follows:
a) Ann gets Introduction to Counting & Probability: 1/4 = 0.25 = 25%.
b) Ann gets Introduction to Counting & Probability and Beth does not get Introduction to Geometry: 1/6 = 0.167 = 16.7%.
c) Counting & Probability and Beth does not get Introduction to Geometry and Caleb gets Introduction to Algebra: 1/24 = 0.0417 = 4.17%.
How to obtain the probabilities?A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.
In this problem, the total number of outcomes is the arrangements of 4 elements, hence:
Total = 4! = 24.
For item a, we want Ann to get one book, and the remaining 3 books are arranged, hence the probability is of:
p = 3!/4! = 1/4 = 0.25 = 25%.
For item b, we want for Ann to get one book, Beth can get 2 of them, and the remaining 2 are arranged, hence the probability is of:
p = 2 x 2!/4! = 4/24 = 1/6 = 0.167 = 16.7%.
For item c, we have a fixed book for each student, hence the probability is of:
p = 1/24 = 0.0417 = 4.17%.
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Ruben is baking desserts for a potluck. At least 31 servings of dessert will be required. For every batch of brownies he bakes, he will get 24 servings, and every pie will yield 7 servings.
Write the inequality in standard form that describes this situation. Use the given numbers and the following variables.
The inequality in standard form that describes the situation is 24x + 7y ≥ 31
Total number of required serving of dessert = 31
Number of serving he will get in every batch of brownies = 24 servings
Number of serving he will get in every batch of pie = 7 serving
Consider the number batch of brownies = x
Number of batch of pie = y
The inequality is the mathematical statement that shows the relationship between two expression with an inequality sign. The inequality will be less than, less than or equal, greater than, greater than or equal.
Then the inequality will be
24x + 7y ≥ 31
Hence, the inequality in standard form that describes the situation is 24x + 7y ≥ 31
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Answer the questions below. I need letter b and letter c
Answer:
b: mean
c: mode
Step-by-step explanation:
I say mean for b because to find average of how many sodas they drink in a month
For c I say mode because they want to find the most common year and mode is where it chooses which year appears the most
Hopes this helps please mark brainliest
A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.[tex]\mu[/tex] is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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Two UNO students want to start a business selling slushies at the Gene Leahey Mall during the summer. They will have an initial cost of $500 to buy equipment and an additional $1.25 cost for each slushie they sell. They
plan to charge $3.50 for each slushie. Let C(x) represent the cost (in dollars) associated with starting and running the business and R(x) represent the revenue (in dollars) earned from sales. Let x represent the number
of slushies sold.
a. Write a linear function for cost.
C(x) =
b. Write a linear function for revenue.
R(x) =
Part (a)
The cost is the initial cost plus the cost per slushie multiplied by the number of slushies sold.
[tex]C(x)=500+1.25x[/tex]
Part (b)
The revenue is the number of slushies sold multiplied by the amount charged per slushie.
[tex]R(x)=3.50x[/tex]
5)
What is the mean of 14, 7, 10 and 5?
Answer:
9
Step-by-step explanation:
mean is the same as average
To find the mean we add them all and divide by the amount of terms which in this case is 4
14+7+10+5
21+15
36
36/4
9
Hopes this helps please mark brainliest
Explain whether the recipe will make enough for Lucy and 3 friends to each have at least 1 cup of smoothie. If it does not make enough, explain how to change the recipe to make enough.
The recipe will be enough for Lucy and her friends to make smoothie.
How to illustrate the information?From the information, they are making smoothie. This will be illustrated as:
1 1/3 cups of banana = 4/3 cups
1 1/2 cup of yoghurt = 3/2 cups
1 cup of strawberry.
3/4 cup of orange juice.
Based on the information, we've to find the total quantity of smoothie. This will be:
= 4/3 + 3/2 + 1 + 3/4
= 4 7/12
Therefore, the recipe will be enough for Lucy.
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Complete question
Lucy is making a smoothie by following the recipe below
Sunshine smoothie
1 1/3 cups banana
1/2 cup yogurt
1 cup strawberries
3/4 cup orange juice
Will this recipe make enough for Lucy and 3 friends to have 1 cup of smoothie? Explain.
Please help!!!!!!!!!!!
Answer & Step-by-step explanation:
This question is just a matter of reading the graph correctly. The question is basically asking us how much each color (or the education level) is taking up in the whole bar. So, you just subtract where the color ends from where the color starts.
1997 age 65 or older
Bachelor's degree or higher: 100 - 75 = 25%
College/associate's degree: 75 - 54 = 21%
High school graduates: 54 - 21 = 33%
Less than a high school diploma: 21 - 0 = 21%
Total: 25+21+33+21 = 100%
2007 age 65 or older
Bachelor's degree or higher: 100 - 69 = 31%
College/associate's degree: 69 - 46 = 23%
High school graduates: 46 - 13 = 33%
Less than a high school diploma: 13 - 0 = 13%
Total: 31+23+33+13 = 100%
Hope this helps :)
4. Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
How long will it take for Peter to finish the job alone?
How long will it take for Emily and Peter to finish the job together.
According to the unitary method,
A) The time taken for Peter to finish the job alone is 4 hours, 48 minutes.
B) The time taken for Emily and Peter to finish the job together is 2 hours, 36 minutes.
Unitary method:
In math, unitary method refers the process of finding the value of a single unit, and based on this value.
Given,
Emily, Ashley and Peter can clean a warehouse in 2 hours. If Emily does the job alone, she can finish it in 6 hours. If Ashley does the job alone she can finish it in 8 hours.
Here we need to find the following:
A) The time take for Peter to finish the job alone
B) The time taken for Emily and Peter to finish the job together
Let us consider x be the time taken for Peter to finish the job alone.
So, based on the given question we can write it as,
=> 1/6 + 1/8 + 1/x = 1/2
=> (8 + 6)/48 + 1/x = 1/2
=> 14/48 + 1/x = 1/2
=> 7/24 + 1/x = 1/2
=> 1/x = 1/2 - 7/24
=> 1/x = 12 -7/24
=> 1/x = 5/24
=> x = 24/5
=> x = 4.8
So, the time taken for Peter to finish the job alone is 4 hours, 48 minutes.
Then the time taken for Emily and Peter to finish the job together is calculated as,
=> 5/24 + 1/6
=> 5 + 4/ 24
=> 9/24
=> 3/8
Therefore, the time taken for Emily and Peter to finish the job together 2 hours, 36 minutes.
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f(x) = 2x² -
-x-1
(a) Is the point (-2,9) on the graph of f?
(b) If x=2, what is f(x)? What point is on the graph of f?
(c) If f(x) = -1, what is x? What point(s) are on the graph of f?
(d) What is the domain of f?
(e) List the x-intercept(s), if any, of the graph of f.
(f) List the y-intercept, if there is one, of the graph of f.
Step-by-step explanation:
a. Plug in -2 for x and 9 for f(x)
[tex]9 = 2( - 2) {}^{2} - ( - 2) - 1[/tex]
[tex]9 = 8 + 2 - 1[/tex]
[tex]9 = 9[/tex]
Yes, the point is on the graph.
Plug in 2 for x and solve for y.
[tex]2(2) {}^{2} - 2 - 1 = 5[/tex]
The points on there is (2,5)
c. Plug in -1 for y, solve for x.
[tex] - 1 = 2 {x}^{2} - x - 1[/tex]
[tex]0 = 2 {x}^{2} - x[/tex]
[tex]0 = x(2x - 1)[/tex]
[tex]x = 0[/tex]
[tex]0 = 2x - 1[/tex]
[tex]x = \frac{1}{2} [/tex]
The points on the graph are (1/2,-1) and (0,-1)
d. The domain of any quadratic is all real numbers or (-oo, oo)
e.
[tex]2 {x}^{2} - x - 1 = 0[/tex]
[tex]2 {x}^{2} - 2x + x - 1 = 0[/tex]
[tex]2x(x - 1) + 1(x - 1) = 0[/tex]
[tex](2x + 1)(x - 1) = 0[/tex]
[tex]x = - \frac{1}{2} [/tex]
[tex]x = 1[/tex]
The x intercepts are -0.5,1
The y intercepts are -1
Seth mowed his neighbor's lawn m times. He earned 15 dollars each time. Choose the expression that shows how many dollars Seth earned.
The expression that shows how many dollars Seth earned is 15m.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
Since Seth mowed his neighbor's lawn m times and earned 15 dollars each time.
The amount made will be:
= Cost for each mowing × Number of times
= 15 × m
= 15m
The expression is 15m.
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Answer:
15m
Step-by-step explanation:
What is the value of the product (3 – 21)(3 + 2)?
5
9 + 4
9 - 41
13
Answer: -90
Step-by-step explanation:
Correct answer is not shown in the choices?
FOIL method: 9 + 6 - 63 - 42 = -90
Easy method: (-18)(5) = -90
HELP PLEASE!!
Write the equation of the line that is perpendicular to the line below and passes through the point (4,-6) write your equation in point-slope form.
y+6=-4/3x+16/3 is equation of the line that is perpendicular to the line below and passes through the point (4,-6)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the slope of given line.
The line is passing through points (4, 0) and (0, -3)
m=-3-0/0-4
m=3/4
The slope of perpendicular lines is -1.
m.3/4=-1
m=-4/3
the equation of the line that is perpendicular to the line below and passes through the point (4,-6)
y-y₁=m(x-x₁)
y-(-6)=-4/3(x-4)
y+6=-4/3x+16/3
Hence, y+6=-4/3x+16/3 is the point slope form of line passing through (4,-6)
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PLEASE HELP ME ASAP DUE VERY SOON AND I HAVE NO CLUE :(((
Answer:
20-29 songs
Step-by-step explanation:
Artists with 20-29 songs had the highest total number of people in the crowd.
How many terms are in this expression? 5x + y - 3x - 8 + 2
Answer:
There are 3 terms
Step-by-step explanation:
Given expression,
→ 5x + y - 3x - 8 + 2
Let's simplify the expression,
→ 5x + y - 3x - 8 + 2
→ (5x - 3x) + y + (-8 + 2)
→ 2x + y - 6
The number of terms are,
→ 2x + y - 6
→ 3 terms (trinomial)
Hence, there are 3 terms.
Graph the linear equation.
y=5
You roll two dice as part of a casino game. Express your answers as reduced fractions.Find the probability of rolling a sum of 6, 7, or 8.
==================================================
Explanation:
Let's list the ways to roll a 6.
1+5 = 62+4 = 63+3 = 64+2 = 65+1 = 6There are A = 5 items listed above.
Now let's list the ways to roll a sum of 7.
1+6 = 72+5 = 73+4 = 74+3 = 75+2 = 76+1 = 7There are B = 6 items listed above.
Lastly, let's list the ways to roll a sum of 8.
2+6 = 83+5 = 84+4 = 85+3 = 86+2 = 8There are C = 5 items listed above.
-------------
Summary so far:
We found there are
A = 5 ways to roll a "6"B = 6 ways to roll a "7"C = 5 ways to roll an "8"Therefore, we have A+B+C = 6+7+8 = 21 ways to roll either of those three sums. Each event is mutually exclusive.
This is out of 6*6 = 36 ways to roll two dice (whether we get those sums or not).
21/36 = (7*3)/(12*3) = 7/12 is the probability of getting any of those three sums mentioned.
7/12 = 0.5833 = 58.33% approximately
The current of a river is 3 miles per hour. A boat travels to a point 20 miles upstream and back in 5 hours. What is the speed of the boat in still water?
The speed of the boat in still water is 1miles per hour or 7miles per hour
What is speed?Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
The formula for speed = Distance /time
For upstream movement ,the boat will move against the velocity of the current and in down stream the boat will move with the velocity of the current.
Therefore speed of the boat in downward movement is (S+3) and the speed of the boat during upward movement is (S-3)
The general formula for speed= d/t
(S+3)= 20/5=4
or
(S-3)= 20/5= 4
Therefore, the speed of the boat in still water is
S= 4-3=1mile/hour
or
S= 4+3= 7miles/hour
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How many meters are in 214 cm
Convert 176 pt to qt
Converting 176 Pints will give 88 Quarts
What is conversion?A conversion factor is a number used to change one set of units to another, by multiplying or dividing
What is a pint?The pint (symbol: pt.) is a unit of volume or capacity. One liquid pint is equal to 473.176473 milliliters (≈ 473 ml).
What is a Quart?The quart (abbreviation qt.) is an English unit of volume equal to a quarter gallon. It is divided into two pints or four cups.
To convert 176 Pints to the corresponding value in Quarts,
Multiply the quantity in Pints by 0.5 (conversion factor).
In this case we should multiply 176 Pints by 0.5 to get the equivalent result in Quarts:
176 Pints x 0.5 = 88 Quarts
Hence,176 Pints when converted is 88 Quarts.
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Simplify the following expression by combining like terms: 8y + 9y - 9 + 4y
Step-by-step explanation:
Simplify the following expression by combining like terms: 8y + 9y - 9 + 4y
8y + 9y - 9 + 4y
21y - 9
What's the equation of a line that passes through points (–1, –5) and (1, 3)? Question 20 options: y = –x + 4 y = 4x – 1 y = 1 4 x – 2 y = –2x
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{(-1)}}} \implies \cfrac{3 +5}{1 +1} \implies \cfrac{ 8 }{ 2 } \implies 4[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-1)}) \implies y +5 = 4 ( x +1) \\\\\\ y+5=4x+4\implies {\Large \begin{array}{llll} y=4x-1 \end{array}}[/tex]
tim drives at an average speed of 300km per hour for 3 hours and 45 minutes
In 3 hours and 45 minutes, at the speed of 300 km per hour, the distance covered by Tim is 1125 km.
What is speed?In unit time, the distance covered by any object is called speed.
In mathematical term, Speed is express as S=D/T,
where S=speed, D=distance, T= time.
Given that,
The average speed of Tim = 300 km per hour,
And time of driving = 3 hours and 45 minuter = 3³/₄ hours
To find distance covered by Tim, use formula Distance = Speed×Time,
Distance = 300× 3³/₄
= 300×15/4
= 4500/4
= 1125
The distance covered by Tim in 3 hours and 45 minutes is 1125 km,
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Hurry please Lily does screen-printing. When she screen-prints T-shirts, each shirt takes 3 minutes to print. In addition, there is an initial set-up time of 15 minutes.
Write and equation that shows how the number of minutes required to screen-print a batch of shirts, y , depends on the number of shirts in the batch, X.
The number of minutes required to screen-print a batch of shirts is,
y = 3x + 15
From the question, we have
each shirt takes 3 minutes to print.
In addition, there is an initial set-up time of 15 minutes.
number of minutes required to screen-print a batch of shirts,
y = 3x + 15
Addition:
Combining two or more things is what is meant by addition. The process of computing the sum of two or more numbers is known as adding in mathematics. It's a fundamental mathematical operation that's used all the time in real life. When handling money, determining our food budget, or calculating the passage of time, we frequently use addition. When dealing with larger numbers, however, we separate the numbers into columns according to their corresponding place values, such as ones, tens, hundreds, thousands, and so on. For straightforward addition problems, one-digit numbers can be added.
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Bart opens a bank account and deposits $10 each week. If he has $90 in his account, how many weeks (w) has he been depositing money?
Can you please help me out
Second graph is correctly shows the solution set for the inequality x >n
How did you graph the inequality's solution set?To graph the solution set of a two-variable inequality, draw the border first, either as a solid or dashed line depending on the inequality. Use a dashed line as the boundary in the case of a strict inequality. Use a solid line if the inequality is inclusive. Next, pick a test location that is not a border.To represent an inequality on a number line, such as x>3, first draw a circle around the number (e.g., 3). Fill in the circle if the sign also says equal to (or ). Leave the circle blank if the sign doesn't include equal to (> .To learn more about inequality refer to:
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Which one is for b and c ?
The number of students in Mr Hassan's class is 33 and I assumed that each small square in the graph is 0.5 unit and that there are 10 small squares.
What is a bar chart?A bar chart displays information (data) by using rectangular bars of different heights.
A bar chart has a vertical axis with numbers on it, and a horizontal axis showing values of something that has been investigated.
from the graph, since each small square represent 0.5 unit, number of student that sored 1 mark = 3
number of student that scored 2 marks = 5
number of student that scored 4 marks = 2
number of student that scored 5 marks = 6
number of student that scored 8 marks = 12
number of student that scored 9 marks = 1
number of student that scored 4 marks = 4
Total number of students = 3 + 5+ 2+ 6 + 12 + 1 + 4 which is 33.
I assumed each small square to be 0.5
In conclusion the total number of student is 33
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PLS HELP THIS IS HARDER THAN COUNTING 10000000 DOTA A DAY!!
at the bottom “is a bit covered”
Answer:
List Price: 1750
Sale Price: 1400
Step-by-step explanation:
If 20% = 350, we can just multiply it by 5 to get the list price.
Because:
= 20% / 100%
= 20 / 100
= 2 / 10
= 1 / 5
= 1 / 5 * 5 = 1
= 350 * 5 = 1750 (list price)
To get the sale price, we subtract 350 from 1750
1750 - 350 = 1400
1400 is 80% of full price, which is what it was purchased for.
Cameron estimates that the math class will sell 200 calendars . What will that total income be?
Answer:
How much Is Cameron receiving from each calendar?
Step-by-step explanation:
Part B? Question
The total resistance in a circuit with two parallel resistors is 2 ohms and $R_1$ is 6 ohms. Using the equation for R₂, in terms of Rt and R₁, what is R₂ ?
R₂ is ohms.
Answer:
If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, R T is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.
helppppppppppppppppppppppp
Answer:
-1,2
Step-by-step explanation:
I know this because to find the zeros of a function we look at when y is zero
Hopes this helps please mark brainliest
