Answer:
answe is 5x + 6y + 1
Step-by-step explanation:
Step-by-step explanation:
5x+ 6y+1
..............
A data set has 10 values.
The mean of the data in the set is 12.
The mean absolute deviation of the data in the set is 4.
What must be true?
Each value in the data set varies from 12 by exactly 4.
Each value in the data set varies from 12 by an average of 4.
No values in the data sete are less than 8 or greater than 16.
Half of the values in the data set are 8 and half of the values in the data set are 16.
How do you find the answer?
The value in the data set varies from 12 by an Average of 4.
The mean of the data set is 12 and the mean absolute deviation is 4.
Option 1: Each value in the data set varies from 12 by exactly 4.
This statement cannot be concluded based on the given information. The mean absolute deviation measures the average distance between each data point and the mean. It does not imply that each value varies by exactly 4 from the mean.
Option 2: Each value in the data set varies from 12 by an average of 4.
This statement is true. The mean absolute deviation of 4 indicates that, on average, each data point deviates from the mean by 4 units. It does not necessarily mean that each value varies by exactly 4, but the average deviation is indeed 4.
Option 3: No values in the data set are less than 8 or greater than 16.
This statement cannot be determined based on the given information. The mean and mean absolute deviation do not provide information about the specific values in the data set. It is possible for some values to be less than 8 or greater than 16 while still maintaining a mean of 12 and a mean absolute deviation of 4.
Option 4: Half of the values in the data set are 8, and half of the values in the data set are 16.
The value in the data set varies from 12 by an average of 4.
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Need help ASAP plz !!!!!
Answer:
yep that is correct!
Step-by-step explanation:
Theorem of Pythagoras
hopefully the picture is clear and understandable!
:)
PLEASE HELP, I WILL GOVE BRAINLIEST. Katrina's cat weighed 12 3/4 pounds at its last visit to the veterinarianSince that visit, the cat has gained 5/8 pound. How much does Katrina's cat weigh now? Show your work
Answer
13 1/2 pounds
Step-by-step explanation:
welcome ;)
Answer:
the cat now weighs 13 3/8 LBS
Step-by-step explanation:
convert the fractions so you can add them together,
mult 3/4 by two to get common denominators
6/8 + 5/8
the cat gained 11/8 pounds. (1 3/8)
since the numerator is larger we add the mixed number to the 12 pounds.
13 3/8 pounds.
Someone help with this too pls
Answer:
the answer is 18 months==1 year 6 months
what is the value of x^2 - 6x + 9 when x = 2 + i?
The Expression x^2 - 6x + 9 when x = 2 + i is -2i
To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:
(2 + i)^2 - 6(2 + i) + 9
Simplifying the first term, we get:
(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2
Since i^2 = -1, we can substitute that in and simplify further:
(2 + i)^2 = 4 + 4i - 1 = 3 + 4i
Now we substitute this into the original expression:
(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9
Simplifying further, we get:
= 3 + 4i - 12 - 6i + 9
= 0 - 2i
= -2i
Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.
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Complete the ratio table.
Answer:
55
70
Step-by-step explanation:
Hope this helps! Pls give brainliest!
Answer:
55 and 70
Step-by-step explanation:
5÷2=2.5
20÷8=2.5
45÷18=2.5
so
22×2.5=55
and
28×2.5=70
Find an explicit formula for the arithmetic sequence
81
,
54
,
27
,
0
,
.
.
.
81,54,27,0,...81, comma, 54, comma, 27, comma, 0, comma, point, point, point.
Note: the first term should be
a(1)
a(1)start text, a, left parenthesis, 1, right parenthesis, end text.
Answer:
Can you redo it so I can answer it's kind of confusing
Answer:
81 - 27(n-1)
Step-by-step explanation:
The diameter of a circle is 10 units. What is the radius of the circle? units
Answer:
The answer is 5.
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!!
Answer:
5
Step-by-step explanation:
Please look at photo. Thank you!
Polynomial and rational functions:
A) Find all x and y intercepts. Check all that apply:
X intercepts: 4, 0, 1, and/or none.
Y intercepts: 1, 4, 0 and/or none.
B) write the equations for all vertical and horizontal asymptotes. Enter the equations by writing “and” or “none” when necessary.
C) find the domain and range of f. Write each answer as an interval or union of intervals.
A) All x- and y-intercepts include the following:
x-intercepts: none.
y-intercept: 1.
B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.
C) The domain and range of f are:
Domain = [-∞, 4) U [4, ∞]
Range = [0, ∞]
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).
Part A.
Based on the graph of this rational function, the x-intercept and y-intercept include the following:
x-intercept: none.
y-intercept: 1.
Part B.
An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.
Part C.
By critically observing the graph of this rational function, we can logically deduce the following domain and range:
Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.
Range = [0, ∞] or {y|y ≥ 0}.
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There are 50 students in the auditorium. Each student has a notebook with 70 pages. How many pages are there altogether in the notebooks?
Answer: If I am correct, your answer should be 3500 pages. Hopefully, this is correct.
Step-by-step explanation:
I multiplied 50 by 70.
A student committee of 4 is formed by randomly drawing people (without replacement) from a collection of 4 sophomores, 4 juniors and 3 seniors. What is the probability the committee thus formed will have at least one representative from all three groups of students?
Answer: 0.04848
Step-by-step explanation:
Given : There are 4 sophomores, 4 juniors and 3 seniors.
Total choices = 4+4+3 = 11
Number of people needed to be chosen for committee = 4
Number of ways to select 3 people out of 11 (without replacement)= \(^{11}P_4\)
\(=\dfrac{11!}{(11-4)!}\ \ \ \ [^nP_r=\dfrac{n!}{(n-r)!}]\)
\(=\dfrac{11\times10\times9\times8\times7!}{7!}\\\\= 7920\)
Number of ways to select at least one representative from all three groups of students = \(^4P_2\times ^4P_1\times ^3P_1+^4P_1\times ^4P_2\times ^3P_1+^4P_1\times ^4P_1\times ^3P_2\)
\(=\dfrac{4!}{2!}\times4\times3+4\dfrac{4!}{2!}\times3+4\times4\times\dfrac{3!}{2!}\\\\= 144+144+96=384\)
Required probability = \(\dfrac{384}{7920}=0.04848\)
Hence, the probability the committee thus formed will have at least one representative from all three groups of students = 0.04848
2. Seven students are planning to take an exercise class. If the cost is $12 for each student, how much will it cost for all 7 students to take one class? A) $80 B $82 $84 O $86
Answer:
$84
Step-by-step explanation:
Their 7 students
$12 for each students per class
12 × 7= 84
Answer:
it would be 84
Step-by-step explanation:
easy explanation just multiple.
True or False, descriptive statistics do not draw conclusions beyond the data?
Answer:
I'm pretty sure its false let me know if its true and correct me
Step-by-step explanation:
Help you get la fouge candy.
Answer:
2520 gallons
Step-by-step explanation:
According to the hint, one gallon is four quarts.
10,080/4 = 2520
10,080 quarts should be 2520 gallons.
Hope this helps.
Conduct a survey based on the topic below and write a research report. You are required to collect, represent, analyse, interpret and report the data. The number of coins that teachers carry with them •
Research Report:
Title: The Number of Coins Carried by Teachers
Introduction:
This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.
The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.
Results and Analysis:
A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.
Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.
Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.
Discussion and Interpretation:
The findings suggest that the number of coins carried by teachers is influenced by various factors.
Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.
The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.
The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.
This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.
Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.
Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.
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Travis bought a turkey for thanksgiving. if the turkey costs $1.30 per pound and he paid $18.85, how much did the turkey weigh?
Answer:
14.50 LBS
Step-by-step explanation:
Total/PerPound=Weight
18.85/1.30=x
x=14.50 Pounds.
When dealing with money, you should always round the decimal place to the nearest hundredths, and that is why you should say 14.50 instead of 14.5.
HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
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Please answer this correctly
Answer:
3.14
Step-by-step explanation:
A quarter circle is just 1/4 of an entire circle's area. Since you know the radius is two, simply find the area of the entire circle and divide by 4.
4pi/4 = pi
PLEASE HELP! I DONT HAVE LONG
Answer:
c
Step-by-step explanation:
The sum of four consecutive integers is -22. Find the integers.
Answer:
-7, -6, -5, -4
Step-by-step explanation:
-7 + (- 6) = -13
-5 + (- 4) = -9
-13 + (- 9) = -22
Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us?
20 82 57 94 44 28 46 15 49 55 34
Answer:
Variance: 589.0545454545456
Standard Deviation: 24.270445926157716
Range: 79
Step-by-step explanation:
First, I added up all of the numbers:15 + 20 + 28 + 34 + 44 + 46 + 49 + 55 + 57 + 82 + 94 = 524
I squared the total, and then divided the number of items in the data set524 x 524 = 274576
274576 / 11 = 24961.454545454544
I took my set of original numbers from step 1, squared them individually this time, and added them all up:(15 x 15) + (20 x 20) + (28 x 28) + (34 x 34) + (44 x 44) + (46 x 46) + (49 x 49) + (55 x 55) + (57 x 57) + (82 x 82) + (94 x 94) = 30852
I subtracted the amount in step 2 from the amount in step 3:30852 - 24961.454545454544 = 5890.545454545456
I subtracted 1 from the number of items in my data set:11 - 1 = 10
I divided the number in step 4 by the number in step 5:5890.545454545456 / 10 = 589.0545454545456
This is my Variance!
Finally, I took the square root of the number from step 6 (the Variance),
√(589.0545454545456) = 24.270445926157716
This is my Standard Deviation!
Let X1 to be normally distributed with mu1 and o^2 1 be the random variable denoting the first normal population and
X2 also normally distributed with mu2 and o^2 2 the random variable denoting the second normal population. The two populations (random variables) X1 and X2 are independent. If X1 is the sample mean in random samples of size n1 from the first population, and X2 is the sample mean in random samples of size n2 from the second population, then X1 and X2 are independent random variables. The difference of the two-sample means, X1 - X2, is also a random variable. Its probability distribution is called the sampling distribution of the difference between the two-sample means.
(a) Using the above information, and your knowledge on sampling distributions and linear combinations of independent random variables, find what is the sampling distribution of the difference between the two-sample means, X1 - X2. What is the expected value (mean) of the difference, E(X1 - Xz), and what is its variance, V (X1 - X2)?
(b) By applying the new knowledge that you acquire on part a), answer the following question:
A population random variable X1 has a normal distribution with mean M1 = 29.8 and
standard deviation 01 = 4. Another population random variable X2 has a normal
distribution with mean M2 = 34.7 and standard deviation 02 = 5. X1 and X2 are independent.
Random samples of size n1 = 20 from the first population X1 and samples of size n2 = 20
from the second population X2 are selected. Denote with X1 - X2 the difference between the two-sample means. State what is the sampling distribution of X4 - X2 and calculate its expected value (mean), E (X1 - X2), and the variance, V (X1 - X2).
The sampling distribution of the difference between the two-sample means, X1 - X2, can be characterized by the following properties:
1. Expected value (mean):
E(X1 - X2) = E(X1) - E(X2) = mu1 - mu2
The expected value of the difference is equal to the difference of the means of the two populations.
2. Variance:
V(X1 - X2) = V(X1) + V(X2)
Since X1 and X2 are independent, the variance of their difference is equal to the sum of their individual variances.
(b) Given the information provided:
For X1:
Mean (mu1) = 29.8
Standard deviation (sigma1) = 4
For X2:
Mean (mu2) = 34.7
Standard deviation (sigma2) = 5
Sample size for X1 (n1) = 20
Sample size for X2 (n2) = 20
To find the sampling distribution of X1 - X2:
Expected value (mean):
E(X1 - X2) = mu1 - mu2 = 29.8 - 34.7 = -4.9
Variance:
V(X1 - X2) = V(X1) + V(X2) = (sigma1^2 / n1) + (sigma2^2 / n2)
= (4^2 / 20) + (5^2 / 20)
= 16/20 + 25/20
= 41/20
= 2.05
Therefore, the sampling distribution of X1 - X2 has an expected value (mean) of -4.9 and a variance of 2.05.
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The management of a restaurant with locations all over the country has developed a new hamburger that researchers believe will sell better than the hamburger that is currently sold. Which of the following is the best way to perform a randomized experiment with the goal of determining if this new hamburger will sell better than the hamburger that is currently sold? Randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase. Randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase. Have all the company’s restaurants throughout the country stop selling the current hamburger and start selling the new hamburger to see if sales increase. Have all the company’s restaurants throughout the country stop selling the current hamburger and start selling the new hamburger to see if sales increase. Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger. Randomly select 40 restaurants, let each one decide if it wants to sell the new hamburger, and compare sales in those restaurants to sales in the restaurants that chose not to sell the new hamburger. Have all the restaurants in the western part of the country stop selling the current hamburger and start selling the new hamburger to see if these restaurants’ sales are higher than the restaurants in the eastern part of the country that continue selling the current hamburger.
The best way to perform a randomized experiment is to C. Randomly select 40 regions from all regions throughout the country, and have the restaurants in those regions stop selling the current hamburger.
What is a randomized experiment?It should be noted that a randomized experiment simply means a study sample that is divided into a group that will receive the intervention that's being studied.
In this case, the best way is to randomly select 40 regions from all regions throughout the country, have the restaurants in those regions stop selling the current hamburger, and start selling the new hamburger to see if sales increase.
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Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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question is pictured below, need to learn steps to solve this and I dont have my book with me
However, I can still give you some general steps to solve a math problem in 200 words.
Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.
Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.
Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.
Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.
Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.
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A restaurant offers two types of pizza
dough: sourdough and whole wheat.
The chefs can make three types of
pizza crust: thin, thick, or deep dish.
What is the probability that the next
customer will order a whole wheat
pizza with thick crust?
Answer:
1/6 or 16.6%
Step-by-step explanation:
There are 6 possible combinations, one of which being whole wheat with thick crust. Therefore there is a 1/6 chance.
Find sin 0 and tan 0 if cos 0= 5/13, assuming that
\(0 \leqslant 0 < \ \frac{\pi}{2} \)
sin( θ) = 12/13 and tan( θ) = 12/5.
sin θ, cos θ, tan θ are the three important trigonometry functions.
If θ lies in the first quadrant that is 0 ≤ θ < π/2, then the value of all trigonometry functions is positive.
The three most significant trigonometry functions are sin θ, cos θ, and tan θ.
If θ is located in the first quadrant, which is equal to θ/2, then all trigonometric functions have positive values.
The three important trigonometry identities are:
sin²( θ ) + cos²( θ ) = 1
1 + tan²( θ ) = sec²( θ )
1 + cot²( θ ) = csc²( θ )
Now we have,
cos θ = 5/13
Then,
sin²( θ ) + cos²( θ ) = 1
sin²( θ ) + ( 5/13 )² = 1
sin²( θ ) + 25/169 = 1
sin²( θ ) = 1 - 25/169
sin²( θ ) = ( 169 - 25)/ 169
sin²( θ ) = 144/ 169
sin( θ ) = √( 144/ 169 )
sin( θ ) = ± 12/13
Since, 0 ≤ θ < π/2
sin( θ ) = 12/13
Now we know,
tan(θ) = sin(θ) / cos(θ)
tan(θ) = ( 12/13 ) / ( 5/13)
tan(θ) = 12/5
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can somebody help answer this one for me its very difficult for me :[
Answer:
Step-by-step explanation:
This is a proof. You need to use theorems and definitions to get to your answer. You cannot make any assumptions without a definition for it. You can you use the information that you have proven from previous statements.
m<1 = m<2 Given
QP = QR Given
m<3 = m<4 Vertical Angles
m<1 + m<3 + m<P = 180 Triangle Sum Theorem
m<P = 180 - m<1 - m<3 Subtraction
m<P = 180 - m<2 - m<3 Substitution
m<2 + m<4 + m<R = 180 Triangle Sum Theorem
m<R = 180 - m<2 - m<4 Subtraction
m<R = 180 - m<2 - m<3 Substitution
m<P = m<R Transitive
m<Q = m<Q Reflexive
ΔQTP ≅ ΔQTR ASA
We proved that the triangles are congruent by proving an angle, a side and another angle are the same.
<Q and <Q same
QR and QP same, this was give
<R = <P same through proof
PLEASE ANSWER WITH STEP BY STEP
SCHOOL SUPPLIES Jaime bought a notebook and a box of pencils for $5.00. The notebook cost $3.00 and there are 10 pencils in a box. The equation 3+10p=5 can be used to find the cost of one pencil. Select all equations that are equivalent.
Multiple select question.
A)
10p=8
B)
10p=2
C)
p=0.80
D)
p=0.20
E)
p=20
F)
p=80
Answer:
D and B
Step-by-step explanation:
The solution to 3+10p=5 is 0.20. The equation 10p=2 is just the equation after subtracting 3 from 5, and it also comes out as 0.20. I hope this helps!
The solution to 3+10p=5 is 0.20. The equation 10p=2 is just the equation Therefore, D and B are the correct option.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree
Jaime bought a notebook and a box of pencils for $5.00.
The notebook cost $3.00 and there are 10 pencils in a box.
The equation 3+10p=5 can be used to find the cost of one pencil. S
Let's represent notebooks with "N" and pencils with "P".
Then,
3+10p = 5
10 p = 5- 3
10 p = 2
Since 10p=2, we can substitute that directly into the equation:
p = 0.20
Therefore, D and B are the correct option.
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seb buys 1 gallon of paint that covers 400 square feet
The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.
How to find the amount of paint ?There would be two walls with 10 x 16 dimensions so the area is :
= 2 x 10 x 16
= 320 square feet
Two walls with 20 x 10 dimensions :
= 2 x 20 x 10
= 400 square feet
The total area is :
= 400 + 320
= 720 square feet
One gallon of paint can cover 400 square feet so the number of gallons needed is:
= 720 / 400
= 1. 8 gallons
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Full question is:
One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.