Answer:
10.1
Step-by-step explanation:
19.3-2.9=16.4
16.4-1.2=15.2
15.2-5.1=10.1
so there are 10.1 cups of flower left
Answer:11.3
Step-by-step explanation:
19.3 - 2.9 -5.1= 11.3
You don't subtract the 1.2 cups of sugar because it's only asking about the flour.
consider the grid of points shown here. suppose that, starting at the point labeled a, you can go one step up or one step to the right at each move. this procedure is continued until the point labeled b is reached. how many different paths from a to b are possible?
The following is an excerpt from A First Training in Probability by Sheldon Ross. (74) = 35 is the right response.
Total moves required are 7, as follows:
Three steps up as well as four steps right.
Remember that perhaps the number of paths equals the number of arranged 7-tuples with 3 U's and 4 R's. As instance, the word URRURRU indicates to travel up, right, up, right, right, up.
There are 7 ways to arrange these letters, 7 ways to arrange the corresponding Us, and 7 ways to arrange the comparable Rs, for a total of 7!3!4! (74).
For each NxN grid, we may write the following as a generalization of our formula: It should be noted that there's a simpler method of writing this: D = N! / (K! * (N-K))! additionally known as the binomial coefficient.
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can you please solve this practice problem for me I really need assistance. find the slope and the equation of the line.
Answer:
The slope m of the line is;
\(m=20\)Explanation:
Given the graph in the attached image.
We want to find the slope of the graph.
The slope can be calculated using the formula;
\(m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}\)Taking two points from the graph;
\(\begin{gathered} (x_1,y_1)=(0,500) \\ (x_2,y_2)=(25,1000)_{} \end{gathered}\)Substituting the coordinates, we have;
\(\begin{gathered} m=\frac{1000-500}{25-0} \\ m=\frac{500}{25} \\ m=20 \end{gathered}\)Therefore, the slope m of the line is;
\(m=20\)The y-intercept of the line is at;
\(y=500\)Writing the slope intercept form of the equation;
\(y=mx+b\)where;
m = slope
b = y-intercept
substituting the slope and the y intercept we have;
\(y=20x+500\)Therefore, the equation of the line is;
\(undefined\)Including Jose, there are eight people in his family. If order matters, how many ways can he arrange his family members into a row of five seats if Jose must sit in the first seat?
Answer:
840 ways
Step-by-step explanation:
From the above question, we are told that order matters, hence, to solve the above question, we use the Permutation formula.
P(n, r) = nPr = n!/(n -r)!
From the above question,
Since Jose is included in the 8 people and he takes the first seat
n = 8 - 1 = 7 people
r = 5 - 1 = 4 seats
This is because, once Jose takes the first seat, there are 4 seats left with 7 people waiting to be seated
Hence,
7P4 = 7!/(7 - 4)!
7P4 = 7!/3!
7P4 = 5040/6
7P4 = 840 ways
Answer:
840
Step-by-step explanation:
edg 2021
I need to know the answer
Answer:
\(18+0.08B\geq 75\)
Step-by-step explanation:
there is a flat fee of $18
there is an incremental fee of $0.08 per ball which can be shown as \(0.08B\)
so the amount that Carolina will spend would be \(18+0.08B\)
the promotion only applies if Carolina spends $75 or more. the greater than or equal to symbol is \(\geq\)
so the inequality would be \(18+0.08B\geq 75\)
however, we could simplify this to \(0.08B\geq 57\) but it is not necessary
Solve for b.
3-2(b - 2) = 2 - 7b
Answer:
b = -1
Step-by-step explanation:
use distributive property to multiply the -2 with the numbers in the parentheses
3 - 2b + 4 = 2 - 7b
7 - 2b = 2 - 7b
add 2b to both sides
7 = 2- 5b
subtract 2 from both sides
5 = -5b
divide by -5
b = -1
The solution for b is -1.
Let's solve the equation step by step to isolate the variable b:
3 - 2(b - 2) = 2 - 7b
First, simplify the expression inside the parentheses:
3 - 2b + 4 = 2 - 7b
Combine like terms:
7 - 2b = 2 - 7b
Next, let's isolate the terms with b on one side. We can do this by adding 7b to both sides:
7 - 2b + 7b = 2 - 7b + 7b
Simplifying:
7 - 2b + 7b = 2
Combine like terms:
7 + 5b = 2
Now, let's isolate the term with b by subtracting 7 from both sides:
7 + 5b - 7 = 2 - 7
Simplifying:
5b = -5
Finally, solve for b by dividing both sides by 5:
(5b) / 5 = (-5) / 5
Simplifying:
b = -1
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organizations such as the u.s. centers for disease control (cdc) often use data collected from hospitals. what kind of data is the cdc using if it is collected by hospitals, then sold to the cdc for its own analysis? 1 point
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of plotting data.
Data plotting: What is it?The most typical method of utilizing a chart to convey data is to graph the correlation of two additional variables. Diagrams created by hand or using a computer are also acceptable. From the origin, go three up, then 2 pieces to the right. On the reference system, it is important to display the digits for positions 2, 3, and 4. Be really explicit with your points. The pinkish squiggle with the letter P represents the value of 2.3. You must first generate a number line for each number in a collection of data to be able to create a chart.
Here,
Given :
Data gathered from hospitals is frequently used by institutions like the US Center of Disease Control (cdc).
In order to determine what data they use,
From the information provided, it is clear that they are using second-party data.
Therefore ,the data they employ includes Second Party Data as a result, which is the solution to the given challenge of charting the data.
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SM-1 Suppose that you have a box with N gas particles in it, which are in random motion. a) For N=3, what is the probability of finding the system in a state where all of the particles are on the right side of the box? What is the entropy of this state, in units of J/K ? b) For N=3, what is the probability of finding the system in a state where just one of the particles is on the right side of the box, and the rest are on the left side? What is the entropy of this state, in units of J/K ? c) For N=4, what is the probability of finding the system in a state where all of the particles are on the right side of the box? What is the entropy of this state, in units of J/K ? d) For N=4, what is the probability of finding the system in a state where just one of the particles is on the right side of the box, and the rest are on the left side? What is the entropy of this state, in units of J/K ? e) Briefly comment on the relationship between the number of particles (N), and the probability of the system being in a state with an uneven distribution of particles on the right and left side.
If you have a box with N gas particles in it, which are in random motion, then a) for N=3, the probability of finding the system in a state where all of the particles are on the right side of the box is 1/8 and the entropy of this state is 0 J/K, b) for N=3 the probability of finding the system in a state where just one of the particles is on the right side of the box is 3/8, and the rest are on the left side is and the entropy of this state is K·log3, c) for N=4, the probability of finding the system in a state where all of the particles are on the right side of the box is 1/16 and the entropy of this state is 0 J/K, d) for N=4, the probability of finding the system in a state where just one of the particles is on the right side of the box, and the rest are on the left side is 1/4 and the entropy of this state is K·log4 J/K, e) when the number of particles increases, the probability of finding the system in a state with an uneven distribution of particles on the right and left side increases.
a) To find the probability and entropy of finding the system in a state where all of the particles are on the right side of the box for N=3, follow these steps:
For N=3, the probability of finding the system in a state where all of the particles are on the right side of the box, P = (1/2)³ = 1/8 ⇒Probability = 1/8The entropy of this state, S = K·logW, where W = number of ways we can put all particles on the right side of the box = 1 ⇒S = K·log 1 = 0. Therefore, the entropy of this state is 0 J/K.b) To find the probability and entropy of finding the system in a state where just one of the particles is on the right side of the box for N=3, and the rest are on the left side, follow these steps:
For N=3, the probability of finding the system in a state where just one of the particles is on the right side of the box, and the rest are on the left side, P = 3 x (1/2)³ = 3/8 ⇒Probability = 3/8The entropy of this state, S = K·logW, where, W = number of ways we can put one particle on the right side of the box = 3 ⇒S = K·log 3. Therefore, the entropy of this state is K·log3 J/Kc) To find the probability and entropy of finding the system in a state where all of the particles are on the right side of the box for N=4, follow these steps:
For N=4, the probability of finding the system in a state where all of the particles are on the right side of the box, P = (1/2)⁴ = 1/16 ⇒Probability = 1/16The entropy of this state, S = K·logW, where, W = number of ways we can put all particles on the right side of the box = 1 ⇒S = K·log 1 = 0. Therefore, the entropy of this state is 0 J/K.d) To find the probability and entropy of finding the system in a state where just one of the particles is on the right side of the box for N=4, and the rest are on the left side, follow these steps:
For N=4, the probability of finding the system in a state where just one of the particles is on the right side of the box, and the rest are on the left side, P = 4 x (1/2)⁴ = 1/4 ⇒Probability = 1/4The entropy of this state, S = K·logW, where, W = number of ways we can put one particle on the right side of the box = 4, ⇒S = K·log 4. Therefore, the entropy of this state is K·log4 J/Ke) When the number of particles increases, the probability of finding the system in a state with an uneven distribution of particles on the right and left side increases. This is because as the number of particles increases, the number of possible states increases as well. This means that there are more ways for the particles to be distributed in an uneven manner, resulting in an increase in probability.
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in cluster analysis, a method can be used to reduce bias due to the difference in units of measurement. one such method is called
In cluster analysis, a method can be used to reduce bias due to the difference in units of measurement. One such method is called standardization.
Cluster analysis is a data mining approach that is widely utilized in data processing, image analysis, and other data-based analytics applications. It groups items that have comparable characteristics into clusters by separating them from other objects that do not share the same features.
Standardization is the process of converting variables with various scales to a common scale so that they can be compared fairly.
Standardization involves transforming all of the variables into comparable units of measurement by converting them into z-scores. This allows for the comparison of values without being affected by the different units of measurement.
The method that can be used to reduce bias due to the difference in units of measurement in cluster analysis is standardization, which converts variables with various scales to a common scale so that they can be compared fairly. This ensures that each variable contributes equally to the distance between the clusters.
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I need help I don't understand this stuff it is very confusing
3x=y
y=2x+2
A sample of 10 washing machines is selected from a process that is 8% nonconforming. What is the probability of 1 nonconforming washing machine in the sample
To solve this problem, we can use the binomial probability formula:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
Where:
- P(X=k) is the probability of getting k nonconforming washing machines in the sample
- n is the sample size, which is 10 in this case
- p is the probability of getting a nonconforming washing machine, which is 0.08
- (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n without replacement, and is calculated as n! / (k! * (n-k)!)
So, to find the probability of getting 1 nonconforming washing machine in the sample, we plug in k=1:
P(X=1) = (10 choose 1) * 0.08^1 * (1-0.08)^(10-1)
P(X=1) = 10 * 0.08 * 0.9227
P(X=1) = 0.0738
Therefore, the probability of getting 1 nonconforming washing machine in the sample is approximately 0.0738, or 7.38%.
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At 10:00 a.m., two boys start out on their bikes to meet each other from towns located
68 miles apart. They meet at 1:00 p.m. If one boy traveled 3 miles per hour faster than
the other, what was the speed of each boy?
Answer:
Below
Step-by-step explanation:
From 10 am to 1 pm is three hours
the boys covered distance = 68 miles in 3 hours
x = rate1
x+3 = rate2
rate X time = distance
(x + x+3) X 3 = 68
6x+9 = 68
6x = 59
x = 9 5/6 mph then the other rate is x+3 = 12 5/6 mph
Answer: 9.833...
Step-by-step explanation:
The boys traveled a combined 68 miles in 3 hours (difference between 10am and 1pm). This makes their combined speed equal to 68/3.
We can make this equation to model how that combined speed breaks down between them:
68 miles/3 hours = (3 + x) miles/1 hour + x miles/1 hour
To solve:
68/3 = (3 + x) + x
68 = (3 + 2x) * 3
68 = 9 + 6x
59/6 = x
9.833... = x
Simplify 4-2y + (-8y) + 6.2
Answer:
\(\large\boxed{\tt -10y + 10.2 }\)
Step-by-step explanation:
\(\textsf{We are asked to simplify the given expression.}\)
\(\textsf{Note that we can't simplify this expression down to 1 term.}\)
\(\large\underline{\textsf{Why?}}\)
\(\textsf{This is due to 2 numbers having the variable y, and 2 other numbers without y.}\)
\(\textsf{Consider these terms Unlike Terms, as they have a difference in which we can't}}\)
\(\textsf{combine them.}\)
\(\textsf{Even though there are some Unlike Terms, there is a few Like Terms.}\)
\(\textsf{Let's identify the Like Terms, and the Unlike Terms in our expression.}\)
\(\large\underline{\textsf{Like Terms;}}\)
\(\tt 4 \ and \ 6.2 \ are \ like \ terms. \ (Both \ don't \ have \ any \ variables)\)
\(\tt -2y \ and \ -8y \ are \ like \ terms. \ (Both \ have \ the \ same \ variable)\)
\(\large\underline{\textsf{Unlike Terms;}}\)
\(\tt 4 \ and \ -2y \ are \ Unlike \ Terms.\)
\(\tt 6.2 \ and \ -8y \ are \ Unlike \ Terms.\)
\(\tt 4 \ and \ -8y \ are \ Unlike \ Terms.\)
\(\tt 6.2 \ and \ -2y \ are \ Unlike \ Terms.\)
\(\textsf{We know what the Unlike Terms, and Like Terms are for our expression.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Solve by combining Like Terms in the expression.}\)
\(\large\underline{\textsf{Combine Like Terms;}}\)
\(\tt 4-2y + (-8y) + 6.2\)
\(\textsf{When we add a negative term, we are actually subtracting with that term.}\)
\(\tt 4-2y -8y + 6.2\)
\(\underline{\textsf{Our final answer should be;}}\)
\(\large\boxed{\tt -10y + 10.2 }\)
Answer:
\( \sf \: -10y + 10.2\)
Step-by-step explanation:
Now we have to,
→ Simplify the given expression.
The expression is,
→ 4 - 2y + (-8y) + 6.2
Let's simplify the expression,
→ 4 - 2y + (-8y) + 6.2
→ 4 - 2y - 8y + 6.2
→ -2y - 8y + 6.2 + 4
→ (-2y - 8y) + (6.2 + 4)
→ (-10y) + (10.2)
→ -10y + 10.2
Hence, answer is -10y + 10.2.
Names of TV shows taped in New York are an example of which type of data? Answer a. Qualitative b. Statistic c. Quantitative d. Parameter
Option (A) Names of TV shows taped in New York are an example of qualitative data. Qualitative data is descriptive in nature and does not involve numerical values or measurements.
It deals with qualities or attributes that cannot be expressed numerically. In this case, the names of TV shows are characteristics that describe the nature of the data. Quantitative data, on the other hand, is numerical data that can be measured and expressed in numbers. A parameter is a measurable factor or variable that can be used to define a system, while statistics is a branch of mathematics that deals with data collection, analysis, and interpretation. In conclusion, since the names of TV shows are descriptive in nature and do not involve numerical values, they are an example of qualitative data.
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
Answer:
X < 4
Step-by-step explanation:
Your welcome
Given the table and rate of 2ft per second, predict how far the car traveled in 9 seconds. Explain how you made your prediction.
Answer:
18ft
Step-by-step explanation:
if the car moves 2 ft per second, and you are trying to find how many feet the car traveled in 9 seconds. so you would have to do 2x9 to get your answer of 18. hope this helps!
What method could be used to prove the triangle congruent?
\(\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}\)
B) SASA box has the shape of a rectangular prism with height 30 cm. If the height is increased by 0.2 cm, by how much does the surface area of the box increase?
If the height is increased by 0.2 then the surface area will be increased by 1.14times the original.
What is surface area of a prism?A prism is a solid shape that is bound on all its sides by plane faces.
The surface area of a prism is expressed as;
SA = 2B + ph
where h is the height , p is the perimeter of the base and B is the base area
The scale factor in terms of height = 32/30
if x is the surface area of old prism and y for new
then area factor = (16/15)² = 256/225
256/225 = y/x
225y = 256x
y = 256/225 x
y = 1.14x
therefore the surface area will increase by 1.14times the original.
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An angle measures 155º. What is the measure of its supplement?
Answer:
25
Step-by-step explanation:
180-155
Show and/or explain why (1/3)^3 = 1/27
how many miles in feet?
Answer:
Step-by-step explanation:
3280 feet are in a mile.
There are 48 teachers in a school. Next year this will increase by about 10%. Ho2 many teachers should be there next year?
Next year, there should be approximately 53 teachers in the school.
To calculate the number of teachers expected next year, we'll first find 10% of the current number of teachers and then add it to the current count.
Calculate 10% of the current number of teachers.
10% of 48 = (10/100) × 48 = 4.8
Add the calculated increase to the current count.
48 + 4.8 = 52.8
Since we can't have a fraction of a teacher, we need to round the number to the nearest whole number. In this case, we can round it up to 53.
Therefore, next year, there should be approximately 53 teachers in the school.
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Compare √7 and 1.9?
>
<
=
Help pls
Answer:
that answer is 7 is bigger then 1.9
Step-by-step explanation:
so 7 is a whole and 1.9 is a decimal
Answer: 2.65 < 1.9
Step-by-step explanation:
The square root of 7 is 2.65
2.65 is larger than 1.9 so that is why
it is "< "
Find the time during the which €3600 gives an interest of € 1080 at the rate 6% per annum
Answer:
5 years
Step-by-step explanation:
\(interest = \frac{prt}{100} \)
\(1080 = \frac{3600 \times 6 \times t}{100} \)
\( \frac{1080 \times 100}{3600 \times 6} = t\)
108000/21600 = t
time = 5 years
On a certain hot summer's day,432 people used the public swimming pool. The daily prices are $1.50 for children and $2.25 for adults. The receipts for admission totaled 683.25. How many children and how many adults swam at the public pool that day?
There were 385 children and 47 adult.
We have,
The daily prices are $1.50 for children and $2.25 for adults.
let the number of children be x and number of adult be y.
So, x + y = 432
and 1.5x + 2.25y = 683.25
Solving the above equation we get
x= 385 and y = 47.
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Help with this Math problem!
Answer:
what is the question which you are asking can you please tell
The diameter of a tree trunk is 23 inches. What is the circumference?
Answer:
72.26
Step-by-step explanation:
Circumference formula is C=2\(\pi\)r
Radius is 1/2 the diameter so, 23/2 = 11.5
11.5 will be your radius.
Now, plug your radius into your formula: 2 x \(\pi\) x 11.5
and your answer will be approximately 72.26.
a spherical snowball is melting in such a manner that its radius is changing at a constant rate, decreasing from 21 cm to 14 cm in 30 minutes. at what rate, in cubic cm per minute, is the volume of the snowball changing at the instant the radius is 4 cm?
The rate at which the volume of the snowball is changing at the instant the radius is 4 cm is -(448*pi)/15 cubic cm/minute.
Melting Snowball Volume RateThe volume of a sphere is given by the formula V = 4/3 * pi * r³, where r is the radius. To find the rate at which the volume of the snowball is changing, we need to take the derivative of this formula with respect to time.
First, we can start by finding the rate at which the radius is changing by using the formula :V = (4/3) * pi * (r)³
dV/dr = 4pir²
r = 21 - (21-14)/30*t (Where t = time in minutes)
Substitute the above equation in below equation:dV/dt = dV/dr * dr/dt
=> dV/dt = 4pi(21 - (21-14)/30*t)² * -(21-14)/30
=> dV/dt = -4pi(21 - (21-14)/30*t)² / 30
At the instant the radius is 4 cm, we can substitute the value of r = 4 in above equation,dV/dt = -4pi(21 - (21-14)/30t)² / 30 = -4pi*(21-7)² / 30 = -4pi(14)² / 30 = -(448*pi)/15 cubic cm/minute.
Therefore, the rate at which the volume of the snowball is changing at the instant the radius is 4 cm is -(448*pi)/15 cubic cm/minute.Learn more about Melting Snowball Volume Rate here:
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The coordinates of Point A are (6,3). Point B is a reflection of Point A across the y axis. In which Quadrant is point B located?
point B is located in quadrant II (option B)
Explanation:Point A: (6, 3) = (x, y)
reflection of point A across the y axis:
The x coordinate will be negative and the y coordinate will remain the same
reflection of point A across the y axis = (-6, 3)
Attaching the graph showing the point after reflection:
Since point B is the reflection of point A.
Hence, point B is located in quadrant II (option B)
Bob is quite proud of the 600-square-foot garage he’s included in his new home. According to national standards, how can he include the garage square footage in his total?
The method for including the garage square footage in the total depends on national standards, with some including it in the total and others excluding it.
When including the garage square footage in the total square footage of a home, there are different ways to do it depending on the national standards used.
Generally speaking, there are two main methods:
Including the garage in the total square footage, or excluding the garage from the total square footage.
If the garage is included in the total square footage, then Bob would add the square footage of the garage (600 square feet) to the square footage of the living spaces in the home (e.g., bedrooms, bathrooms, kitchen, living room, etc.).
This would give him the total square footage of the home, including the garage.
This method is commonly used in some areas of the United States.
On the other hand, if the garage is excluded from the total square footage, then Bob would only count the square footage of the living spaces in the home.
This method is commonly used in other areas of the United States, as well as in other countries.
It is important to note that the method used to calculate the total square footage can affect the perceived value of the home, as well as the taxes and insurance premiums associated with it.
Therefore, it is important for Bob to consult with a local real estate professional or appraiser to determine the most appropriate method for his area.
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A repeated-measures and an independent-measures study both produce a t statistic with df = 15. How many subjects participated in each experiment? Repeated-measures: O 30 O 16 O 15 O 17 Independent-measures: O 17 O 16 O 30 O 15
The number of subjects in a repeated-measures and an independent-measures study, both produced a t statistic with df = 15.
For a repeated-measures study, the degrees of freedom (df) is calculated as N - 1, where N is the number of subjects. Therefore, in this case:
15 = N - 1
N = 15 + 1
N = 16
So, there were 16 subjects in the repeated-measures study.
For an independent-measures study, the degrees of freedom (df) are calculated as (N1 - 1) + (N2 - 1), where N1 and N2 are the number of subjects in each group. Since we know df = 15:
15 = (N1 - 1) + (N2 - 1)
As we don't have information about the specific group sizes, we can assume equal sizes for simplicity, which gives us:
15 = (N - 1) + (N - 1)
15 = 2N - 2
N = (15 + 2) / 2
N = 17 / 2
N = 8.5
Since there are two groups, the total number of subjects in the independent-measures study is 8.5 * 2 = 17.
To summarize, in the repeated-measures study, there were 16 subjects, and in the independent-measures study, there were 17 subjects.
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