Answer:
28.25ounces of jam
Step-by-step explanation:
339ounces ÷ 12 cousins= 28.25
Therefore, each cousin will get 28.25ounces of jam
a sandwich shop offers four kinds of bread (white, wheat, rye, and multigrain), as well as 5 different kinds of meat (ham, turkey, roast beef, salami, and prosciutto). the revenues were collected for each combination over a period of several days. the sample size was equal to 60. they conducted a two-way anova test to determine if there is a difference in the revenues for the breads and meats. what would be the numerator degree of freedom for the f test statistic to determine if the factor bread was significant? group of answer choices 4 1 0 2 3
The numerator degree of freedom for the F test statistic to determine if the factor bread was significant would be 3.
This is because there are 4 different kinds of bread, but when conducting a two-way ANOVA test, one of the groups is always used as the reference group. Therefore, there are only 3 groups of bread that are being compared to each other. The denominator degree of freedom would be 56 (60 total samples minus 4 groups of bread and 5 groups of meat).
The F test statistic would determine if there is a significant difference in revenues between the different kinds of bread, while also controlling for the effect of the different kinds of meat.
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a racing car consumes a mean of 114 gallons of gas per race with a standard deviation of 7 gallons. if 46 racing cars are randomly selected, what is the probability that the sample mean would be greater than 116.9 gallons? round your answer to four decimal places.
The probability that the sample mean of 46 racing cars would be greater than 116.9 gallons is 0.0043, or 0.43%.
To solve this problem, we can use the central limit theorem, which states that the sampling distribution of the sample means approaches a normal distribution as the sample size increases.
First, we need to calculate the standard error of the mean, which is the standard deviation of the population divided by the square root of the sample size:
standard error = 7 / sqrt(46) = 1.032
Next, we can standardize the sample mean using the formula:
z = (sample mean - population mean) / standard error
In this case, the population mean is 114 and the sample mean we're interested in is 116.9. So:
z = (116.9 - 114) / 1.032 = 2.662
Finally, we can use a standard normal distribution table or calculator to find the probability that a z-score is greater than 2.662. This probability is approximately 0.0043, rounded to four decimal places.
Therefore, the probability that the sample mean of 46 racing cars would be greater than 116.9 gallons is 0.0043, or 0.43%.
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Which shows one way the equation can be represented in words? StartFraction 5 over 8 EndFraction z (negative 2. 5) = 2. 5 Five-eighths of a number is equal to two and five-tenths. Five-eighths of a number is equal to negative two and five-tenths. Five-eighths of a number times negative two and five-tenths is two and five-tenths. Five-eighths of a number plus negative two and five-tenths is two and five-tenths.
Answer:
D
Step-by-step explanation:
The last option.
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7
The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.
In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
So, the roots of 0 = 2x² + 12x-14 are:
2x² + 12x-14 = 0
2x² + 14x - 2x -14
2x(x + 7) - 2(x + 7)
(2x - 2) (x + 7)
Now, use the zero product property as follows:
2x - 2 = 0
2x = 2
x = 2/2
x = 1
And
x + 7 = 0
x = -7
Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.
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Correct question:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
a. 1,6, -7
b. 2,12,-14
c. -7,1
d. -1,7
Sanford's gym coach made him run 20 laps on a 400 m track. How many kilometers did he run? How many miles?
Answer:
8km 5mi
Step-by-step explanation:
20x400=8000meters a km = to 1000meters
8000/1000=8km
A mile is a kilometer/ 1.6 8/1.6=5 miles
Sanford ran approximately 8 kilometers and about 4.97 miles.
Given that a coach made someone run 20 laps on a 400 m track.
We need to find the number of mile he ran as well as number of kilometers he ran.
To find out how many kilometers Sanford ran, we can use the fact that 1 kilometer is equal to 1000 meters.
Similarly, to find out how many miles he ran, we'll use the conversion factor of 1 mile being equal to approximately 1609.34 meters.
Let's calculate it:
1 lap = 400 meters
20 laps = 20 x 400 = 8000 meters
Kilometers:
8000 meters ÷ 1000 meters/kilometer = 8 kilometers
Miles:
8000 meters ÷ 1609.34 meters/mile ≈ 4.97 miles
So, Sanford ran approximately 8 kilometers and about 4.97 miles.
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Suppose that 2000$ is loaned at a rate of 20% , compounded semiannually. Assuming that no payments are made, find the amount owed after 5 years.
Do not round any intermediate computations, and round your answer to the nearest cent.
Answer:
$6,191.66
Step-by-step explanation:
We can use the formula for compound interest to solve this problem:
A = P(1 + r/n)^(nt)
where:
A = the amount owed after 5 years
P = the initial loan amount = $2000
r = the annual interest rate expressed as a decimal = 0.20
n = the number of times the interest is compounded per year = 2 (semiannually)
t = the number of years the loan is outstanding = 5
Plugging in these values, we get:
A = 2000(1 + 0.20/2)^(2*5)
= 2000(1.10)^10
≈ $6,191.66
Therefore, the amount owed after 5 years is approximately $6,191.66.
let matrices a, b be where i^2=-1. find the order of the group generated by a and b under matrix multiplication
The order of the group generated by matrices a and b under matrix multiplication is a process of multiplying the matrices and counting the number of distinct matrices that can be produced.
A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
The order of a group generated by matrices a and b refers to the number of distinct matrices that can be produced by multiplying a and b a certain number of times.
To find the order of the group, we need to start by multiplying a and b and see if we get any new matrices. If we do, we keep multiplying those matrices until we get back to the original matrices a and b.
The order of the group is the number of distinct matrices we get in this process.
It is important to note that matrix multiplication is associative, which means that the order in which we multiply the matrices does not affect the result. Also, the identity matrix is a special matrix that, when multiplied by any matrix, produces the same matrix.
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PLEASE HELP WILL MARK BRANLIEST
If f(x)= 4x-12 and the value of f(2)= -4, find f(5). *
Jane read 3/8 of a book for 6 days. How many books did she read?
\(Hey\) \(there!\)
\(The\) \(answer\) \(to\) \(your\) \(question\) \(is\) \(2 \frac{1}{4}\) \(books\).
\(To\) \(solve\) \(this\), \(we\) \(must\) \(multiply\) \(\frac{3}{8}\) \(by\) \(6\)
\(\frac{3}{8} *\frac{6}{1}=\frac{18}{8} =2\frac{1}{4}\)
\(Hope\) \(it\) \(helps!\) \(Have\) \(a\) \(great\) \(day!\)
help please Steps to Completing This Discussion Based Assessment: Complete ONE problem from each of the 6 parts on the assignment attached below. You need to show work for each of the 6 problems you choose to do.
Answer:
Part A number 2 (see work below)
*please give me brainliest lol*
Step-by-step explanation:
(8r^3 + 2r^2 + 1) - (7 - 7r^3 + 3r^2)
after factoring out the negative, you'll have:
8r^3 + 2r^2 + 1 -7 + 7r^3 - 3r^2
now we combine like terms, and your answer is:
15r^3 - r^2 - 6
hope this helps!
Answer:
See solution( s ) below
Step-by-step explanation:
1.
\(( 2r + 4r^2 - 4r^3 ) - ( 5r^2 - 7r + 3r^3 ) ,\\2r+4r^2-4r^3-\left(5r^2-7r+3r^3\right),\\2r+4r^2-4r^3-5r^2+7r-3r^3,\\\\Simplified, -7r^3-r^2+9r\)
To solve this problem, I distributed the negative to the values in ( ), and grouped like elements!
2.
\(( 8x + 8 )( 8v^2 + 4x - 8 ),\\8x\cdot \:8v^2+8x\cdot \:4x+8x\left(-8\right)+8\cdot \:8v^2+8\cdot \:4x+8\left(-8\right),\\\\Simplified, 32x^2+64v^2x-32x+64v^2-64\)
Expanding the values in ( ), I combined like terms once more, and simplified the expression!
3.
\(54b^7+81b^6 + 72b^4,\\Greatest Common Factor = 9b^4\\Factored, 9b^4\left(6b^3+9b^2+8\right)\)
4.
\(16p^3 +12p^2 + 12p + 9,\\\left(16p^3+12p^2\right)+\left(12p+9\right),\\3\left(4p+3\right)+4p^2\left(4p+3\right),\\\\Factored, \left(4p+3\right)\left(4p^2+3\right)\)
5.
\(x^2 + 8x - 20,\\( x^2 - 2x ) + ( 10x - 20 ),\\x * ( x - 2 ) + 10 * ( x - 2 ),\\\\Factored, ( x - 2 )( x + 10 )\)
6.
\(2\sqrt{ 45 } - \sqrt{ 20 }\\6\sqrt{ 5 } - 2\sqrt{ 5 },\\\\Solution, 4\sqrt{ 5 }\)
Question 3 (10 marks) R: 3 Find an equation for the plane tangent to the surface z = x’y + xy² + Inx+R at (1,0, R). =
The equation for the plane tangent to the surface z = x’y + xy² + Inx+R at (1,0, R) is is: z - R = x - 1 + y
To find the equation of the tangent plane to the surface z = x'y + xy² + ln(x) + R at the point (1,0,R), we need to first compute the partial derivatives of the function with respect to x and y, which represent the slopes of the tangent plane in the x and y directions.
The partial derivative with respect to x is: ∂z/∂x = y² + y' + 1/x The partial derivative with respect to y is: ∂z/∂y = x² + x' Now, we evaluate the partial derivatives at the given point (1,0,R): ∂z/∂x(1,0) = 0² + 0 + 1 = 1 ∂z/∂y(1,0) = 1² + 0 = 1
The tangent plane's equation can be given by: z - R = (1)(x - 1) + (1)(y - 0) Thus, the equation of the tangent plane is: z - R = x - 1 + y
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Which is a critical point of the function f(x) = sin(2x) in the interval [0,2pi] ?
A.
pi/2
B.
3pi/2
C.
pi/2, 3pi/2
D.
pi/4, 3pi/4
Answer:
D pi/4, 3pi/4
Step-by-step explanation:
Differentiate the function then equal it to zero and solve for the interval (see attached workings)
Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours.
Answer
:Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours.?
she makes 9.75 dollars an hour after 3 hours she would get 29.25
xXxAnimexXx
h - hours
9.75 * h
9,75 * 4 = 39$
9,75 * 6 = 58.5$
I need help with this problem
Answer:
n=-6
Step-by-step explanation:
You would first multiply by 3 because you are trying to get n by itself?
then you will get the equation n-6=-12 then you will add six cause again you want n by itself and you get n=-6 because -12 plus 6 is -6
A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.
(a)The probability that the selected individual owns shares in the balanced fund is 8%, that is 0.08.
(b)The probability that the selected individual owns shares in a bond fund is 26%.
(c)The probability that the selected individual does not own shares in a stock fund is 57%.
(a) A probability is a number that indicates how likely an event is to occur. In this case, the event is the selected individual owning shares in the balanced fund. The percentage of customers who own shares in the balanced fund is given as 8%. This means that if 100 customers own shares in just one fund, 8 of them would own shares in the balanced fund.
(b) To find the probability that the individual owns shares in a bond fund, we need to add up the percentages of customers who own shares in each of the bond funds:
Short bond: 14%
Intermediate bond: 7%
Long bond: 5%
Total bond funds: 14% + 7% + 5% = 26%
So, the probability that the selected individual owns shares in a bond fund is 26%.
(c) To find the probability that the selected individual does not own shares in a stock fund, we need to find the complement of the probability that the individual owns shares in a stock fund. The probability that the individual owns shares in a stock fund is the sum of the percentages of customers who own shares in each of the stock funds:
Moderate-risk stock: 25%
High-risk stock: 18%
Total stock funds: 25% + 18% = 43%
So, the probability that the selected individual does not own shares in a stock fund is 1 - 43% = 57%.
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--The question is incomplete, answering to the question below--
"A mutual fund company offers its customers a variety of funds: a money-market fund, three different bond funds (short, intermediate, and long-term), two stock funds (moderate and high-risk), and a balanced fund. Among customers who own shares in just one fund, the percentages of customers in the different funds are as follows.
Money-market 23%
High-risk stock 18%
Short bond 14%
Moderate-risk stock 25%
Intermediate bond 7%
Balanced 8%
Long bond 5%
A customer who owns shares in just one fund is randomly selected.
(a)What is the probability that the selected individual owns shares in the balanced fund?
(b) What is the probability that the individual owns shares in a bond fund?
(c) What is the probability that the selected individual does not own shares in a stock fund?"
Please help me with this. Thanks!
Answer:
the plane is descending at a rate of 8,300 feet per minute
Step-by-step explanation:
31,275 - 22,975 = 9,300
BRAINLIEST PLEASE!
Question: What are all the values that a correlation r can possibly take? A. 0 ≤ r ≤ 1 B. r ≥0 C. -1 ≤ r ≤ 1 D. None of the above.
The correct answer is C. -1 ≤ r ≤ 1. The correlation coefficient, r, is a measure of the strength and direction of a linear relationship between two variables. It can take on any value between -1 and 1, inclusive.
A correlation coefficient of -1 indicates a perfect negative correlation, where as one variable increases, the other variable decreases in a perfectly linear fashion. A correlation coefficient of 0 indicates no linear relationship between the two variables. A correlation coefficient of 1 indicates a perfect positive correlation, where as one variable increases, the other variable increases in a perfectly linear fashion.
Therefore, statement A is not correct as it only includes the positive values of r. Statement B is not correct as it does not include negative values of r. Statement C is correct as it includes all possible values of r.
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please help, I will really appricaite it :)
Step-by-step explanation:
uploading the picture is an excellent way to make sure we get the original problem definition.
but I just answered this (even without the picture). so, you need it again ?
The table represents some points on the graph of a linear function.
Х
y
-20
-268
-14
-196
-8
- 124
1
-40
Which equation represents the same relationship?
The main answer is: y = -12x - 8. To find the equation that represents the same relationship as the table, we need to first calculate the slope of the line. We can do this by choosing two points from the table and using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Let's choose the first and last points (-20, -268) and (1, -40):
slope = (-40 - (-268)) / (1 - (-20))
slope = 228 / 21
Now that we have the slope, we can use the point-slope form of a linear equation to write the equation:
y - y1 = m(x - x1)
Using the first point (-20, -268) and the slope we just calculated, we get:
y - (-268) = (228 / 21)(x - (-20))
Simplifying, we get:
y = (228 / 21)x - 440 / 21 - 268
y = (228 / 21)x - 532 / 21
This is the equation that represents the same relationship as the table. However, it's not in the standard form y = mx + b, so we can simplify it further:
y = (228 / 21)x - 532 / 21
y = (12 / 7)x - 8
This is the same as:
y = -12x/7 - 8/1
So the final answer is:
y = -12x - 8
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? 4 cm Area = 20 cm² 6 cm
The height of the triangle whose base is 4 cm and area is 20 cm² is 10 cm .
The area of a triangle is defined as the total space occupied by the three sides of the triangle in a two-dimensional plane. The basic formula for the area of a triangle is half the product of the base and the height, or A = 1/2 × b × h.It is given that base is 4 cm and area is 20 cm² .
Putting above values in area formula , we get
Area = 1 / 2 × base × height
20 = 1 / 2 × 4 × height
20 = 2 × height
10 cm = height
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The complete question is given below :
Find the height of the triangle whose base is 4cm and area is 20 cm².
24 = -3(2а — 15) — а
Answer:
a=3
Step-by-step explanation:
24= -3(2a-15)-a -->given
24=-6a+45-a -->distribute the -3
24=-7a+45 -->combine like terms
-21=-7a -->subtract 45 from both sides
3=a -->divide both sides by -7
which algebraic equation represents the words: forty percent of mrs. garcia's score is 400 points. what is mrs. garcia's score?
The algebraic equation "0.40x = 400" represents the words: forty percent of Mrs. Garcia's score is 400 points. Mrs. Garcia's score is 1000.
Algebraic equation is an equation made up of variables and coefficients that can be used to solve mathematical problems or questions.
To formulate an algebraic equation, we designate a variable for unknown values.
Mrs. Garcia's score is unknown, and so
let x = Mrs. Garcia's score
Based on the information given on the problem, forty percent of Mrs. Garcia's score is 400 points. Forty percent can be written as 0.40.
40% of x is 400
0.40x = 400
Hence, the algebraic equation for that is 0.40x = 400.
Evaluating the value of x,
0.40x = 400
x = 400 / 0.40
x = 1000
Therefore, Mrs. Garcia's score is 1000.
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The domain of the function f(x) = 24 / 13x-21 is all real numbers except for_&&_
The function f(x) is undefined when x = 21/13. The domain of the function f(x) = 24 / (13x - 21) consists of all real numbers except for the values of x that make the denominator equal to zero.
In this case, we set the denominator 13x - 21 equal to zero and solve for x:
13x - 21 = 0
Adding 21 to both sides:
13x = 21
Dividing both sides by 13:
x = 21/13
Therefore, the function f(x) is undefined when x = 21/13.
Hence, the domain of the function f(x) = 24 / (13x - 21) is all real numbers except for x = 21/13.
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The system of linear equations -2x+y=8 and -3x-y=7
Answer: x=-3, y=2
Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2
Answer:
(-3,2)
Step-by-step explanation:
You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing
Simultaneous is easier so lets get started.
1st equation : \(-2x+y=8\)
2nd equation: \(-3x-y=7\)
We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.
Like, take the 1st equation
\(-2x+y=8\\y=8+2x\)
the equation is arranged in a different manner but its the same thing.
This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation
\(-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3\)
we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.
\(y=8+2x\\y=8+2(-3)\\y=8-6\\y=2\)
The solution set of our system of linear equations is
(-3,2)
the mode of the numbers 2,3,6,2,2 is?
Answer: 2
Step-by-step explanation:
The mode is the most frequent number that appears. The number 2 appears the most so 2 would be the mode for this problem.
I'm not good at time questions can someone help me?
Randy should begin his homework by 07:10 in order to sleep by 10:00
How to determine the time to start the homework?The given parameters are:
Social studies = 45 minutesScience = 40 minutesMath = 1 hour and 15 minutesBed preparation = 10 minutesIf the above activities are done, the time spent would be:
Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes
Add the time
Time = 2 hour and 50 minutes
He wants to go to bed by 10:00.
So, the time to begin his homework is:
Begin = 10:00 - 2 hour and 50 minutes
Evaluate the difference
Begin = 07:10
Hence, Randy should begin his homework by 07:10
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(WILL OFFER BRAINLIEST FOR FIRST ANSWER) I NEED HELP, IVE BEEN STUCK ON THIS FOR AN HOUR
Using Geometry vocabulary, describe a sequence of transformations that maps triangle ABC to triangle PQR.
Then write the Transformation Mapping Rules for the sequence you described.
Answer:
Reflect triangle ABC over Y-axis, translate triangle ABC 6 units down.
Step-by-step explanation:
(x, y)->(-x, y)
(x, y)->(x, y-6)
A pizza shop advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. In addition, it is discovered that the quantity of cheese put on the population of all medium pizzas has a normal distribution with mean 0.495 and standard deviation 0.025. Calculate the minimum number of pounds of mozzarella cheese necessary to say that your medium pizza ranked in the top 3% of all medium pizzas in terms of cheese content.
The minimum number of pounds of mozzarella cheese is necessary to say that your medium pizza ranked in the top 3% of all medium pizzas in terms of cheese content.
P(z < 0.2) = 0.5793
What is a normal distribution?Generally, The normal distribution, also known as the Gaussian distribution, is a kind of probability distribution that is symmetric around the mean. This means that it demonstrates that data that are closer to the mean are more likely to occur than data that are farther away from the mean. When represented graphically, the normal distribution takes the shape of a "bell curve."
In conclusion, To begin, we calculate the z score to determine the crucial value. If
\(z =\frac{ (x - u)}{ s}\)
x = critical value = 0.5
u = mean = 0.495
Hence
\(z =\frac{ (x - u)}{ s}\)
z= 0.2
Therefore, by making use of a table or some other kind of technology, the left-tailed area of this is
P(z < 0.2) = 0.5793
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Complete Question
A pizza shop advertises that it puts 0.5 pounds of real mozzarella cheese on its medium pizzas. In addition, it is discovered that the quantity of cheese put on the population of all medium pizzas has a Normal distribution with a mean of 0.495 and standard deviation 0.025. The probability that a randomly selected pizza has less than the advertised amount of mozzarella cheese is:
a) 0.2000
b) 0.5793
c) 0.4207
d) 0.800
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30
Answer:
cos Z = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos Z = 16/34
cos Z = 8/17
The two lines represent the amount of water bottles filled ( in gallons) over time in two different factories. Which factory is filling more quickly? Explain how you know?