in a project for a statistics class, a group of students decided to compare a name brand (brand 1) and a store brand (brand 2) of microwave popcorn to see which one left fewer unpopped kernels, on average, after the recommended popping time. they knew that microwave ovens can differ, so they asked each of the 40 students in the class to take one bag of each brand home and conduct the test, then report the number of unpopped kernels from each brand. (a) define the parameter of interest in the context of this situation. the parameter of interest is the population mean of the paired differences in the number of unpopped kernels between a bag of store brand popcorn and a bag of name brand popcorn when both bags are popped in the same microwave oven. the parameter of interest is the population mean of the number of unpopped kernels for one bag of each brand, popped in the same microwave oven. the parameter of interest is the difference in population means for the number of unpopped kernels for one bag of each brand, popped in the same microwave oven.
Answers
The parameter of interest in this situation is the population mean, which can be estimated using the sample mean, and statistical methods can be used to make conclusions and inferences about this parameter.
The parameter of interest in this situation is the average number of unpopped kernels per bag for each brand. In other words, the students are interested in knowing the average number of unpopped kernels for the entire population of bags of each brand, not just the bags that the students in the class tested. This parameter is usually denoted by the Greek letter μ (mu) for the population mean.
To estimate the population mean for each brand, the students in the class will calculate the sample mean, which is the average number of unpopped kernels per bag for the bags that they tested. The sample mean is denoted by x (x-bar).
After collecting all of the data from the class, the students can use inferential statistics to make conclusions about the population means for each brand.
They can use hypothesis testing to determine if there is a statistically significant difference between the two population means, or they can construct confidence intervals to estimate the true population means with a certain level of confidence.
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Complete Question:
In a project for a statistics class, a group of students decided to compare a name brand (Brand 1) and a store brand (Brand 2) of microwave popcorn to see which one left fewer unpopped kernels, on average, after the recommended popping time. They knew that microwave ovens can differ, so they asked each of the 50 students in the class to take one bag of each brand home and conduct the test, then report the number of unpopped kernels from each brand. (a). Define the parameter of interest in the context of this situation. Use appropriate notation.
Related Questions
What is the value of a?
Answers
Step-by-step explanation:
"The sum of all the angles in a triangle = 180”
6a° + (11a—20)° +30° = 180
17a° + 10 = 180
17a° = 170
a = 10°
please react
What is the result when you multiply the product of two nonzero numbers by the product of their reciprocals?
Answers
Answer:
1
Step-by-step explanation:
Example: 2 nonzero numbers: 2 & 3
2 * 3 = 6
Reciprocals: 1/2 * 1/3 = 1/6
6 * 1/6 = 1
Find the common ratio r for the following geometric sequence.
{1, −5, 25, −125, 625, . . .}
r = _
Answers
Answer:
-5
Step-by-step explanation:
its because each term is being mutliplied by -5
hopes this helps please mark brainliest
Answer:
The common ratio is r = - 5------------------
Given Geometric sequence 1, −5, 25, −125, 625, . .The common ratio is the ratio of any term by the previous oner = -5/1 = - 5r = 25 / - 5 = - 5r = -125/25 = - 5r = 625 / - 125 = - 5What is an equation of the line that passes through the point
(−3,−5) and is parallel to the line
2x+3y=15
Answers
Therefore, the equation of the line passing through (-3, -5) and parallel to the line 2x + 3y = 15, in slope-intercept form, is y = (-2/3)x - 7.
What is the Equation of Parallel Lines?To find the equation of a line parallel to the line 2x + 3y = 15 and passing through the point (-3, -5), we need to determine the slope of the given line and use it to construct the equation in slope-intercept form (y = mx + b).
The given line is in the form Ax + By = C, where A = 2, B = 3, and C = 15. To find the slope of this line, we can rearrange the equation to isolate y:
2x + 3y = 15
3y = -2x + 15
y = (-2/3)x + 5
The slope of the given line is -2/3.
Since the line we want to find is parallel to this line, it will have the same slope. Therefore, the slope of the line passing through (-3, -5) will also be -2/3.
Now, we can use the point-slope form of a linear equation to write the equation of the line:
y - y1 = m(x - x1)
Substituting the values of (-3, -5) and -2/3 for (x1, y1) and m, respectively:
y - (-5) = (-2/3)(x - (-3))
y + 5 = (-2/3)(x + 3)
To convert this equation into slope-intercept form, we can simplify and rearrange:
y + 5 = (-2/3)x - 2
y = (-2/3)x - 2 - 5
y = (-2/3)x - 7
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2. The following data set is given:5041414546364436513736494345454136Construct a dot plot:
Answers
As given by the question
There are given that the numbers;
\(50,\text{ 41, 41, 45, 46, 36, 44, 36, 51, 37, 36, 49, 43, 45, 45, 41, 36.}\)Now,
First make a table of numbers and their frequency.
So,
\(\begin{gathered} \text{Number}\rightarrow\text{frequency} \\ \text{ }36\rightarrow4 \\ \text{ 37}\rightarrow1 \\ \text{ }44\rightarrow1 \\ \text{ 45}\rightarrow3 \\ \text{ 46}\rightarrow1 \\ \text{ 49}\rightarrow1 \\ \text{ 50}\rightarrow1 \\ \text{ 51}\rightarrow1 \\ \text{ 41}\rightarrow3 \\ \text{ 43}\rightarrow1 \end{gathered}\)Now,
From the dot plot of the given numbers and their frequency.
So,
The dot plot of the given number is shown below:
this is a graphing problem and I am trying to figure out what the x-intercepts and the y-intercepts are. "Pleas show the steps"
Answers
Answer:
x- intercept = 4 , y- intercept = - 2
Step-by-step explanation:
To find the x- intercept let f(x) = 0 , that is
\(\frac{x-4}{-x+2}\) = 0
The denominator cannot be zero as this would make f(x) undefined
Equating the numerator to zero
x - 4 = 0 ⇒ x = 4 ← is the x- intercept
To find the y- intercept let x = 0 , that is
f(0) = \(\frac{0-4}{-0+2}\) = \(\frac{-4}{2}\) = - 2 ← is the y- intercept
Determine the average rate of return for a project that is
estimated to yield total income of $382,000 over four years, cost
$695,000, and has a $69,000 residual value.
_ %
Answers
The average rate of return for a project that is estimated to yield a total income of $382,000 over four years, cost $695,000, and has a $69,000 residual value is 4.5% .
Here's how to solve for the average rate of return:
Total income = $382,000
Residual value = $69,000
Total cost = $695,000
Total profit = Total income + Residual value - Total cost
Total profit = $382,000 + $69,000 - $695,000
Total profit = -$244,000
The total profit is negative, meaning the project is not generating a profit. We will use the negative number to find the average rate of return.
Average rate of return = Total profit / Total investment x 100
Average rate of return = -$244,000 / $695,000 x 100
Average rate of return = -0.3518 x 100
Average rate of return = -35.18%
Rounded to one decimal place, the average rate of return is 35.2%. However, since the average rate of return is negative, it does not make sense in this context. So, we will use the absolute value of the rate of return to make it positive.
Average rate of return = Absolute value of (-35.18%)
Average rate of return = 35.18%Rounded to one decimal place, the average rate of return for the project is 4.5%.
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What is an equation in point slope form that passes through (8,2) and has a slope of -5
Answers
Answer:
y-2 = -5(x-8)
Step-by-step explanation:
y-y₁=m(x-x₁)
The slope of two lines are - 3/2 and 18/a. Determine the value of α that will make the lines:
a) parallel
b) perpendicular
Answers
Answer:
a) a=-12
b) a=27
Step-by-step explanation:
a) parallel lines have = slopes SO
-3/2 = -3/2
-3/2 = 18/a
-3a/2 = 18
-3a = 18 * 2 = 36
a = -12
b) perpendicular lines have negative inverse slopes SO
- 3/2 ---> 2/3
2/3 = 18/a
2a/3 = 18
2a = 18 * 3 = 54
a = 54/2 = 27
help, i’ll give 20 points and thanks, and 5 stars
Answers
Answer: 8.75
Step-by-step explanation:
(0, 20) and (40, 370) any two coordinate points can be chosen
(370 - 20) / (40 - 0)
= 35/4 or 8.75
find two unit vectors that make an angle of 60° with v = 8, 6
Answers
The two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
Given that, Angle = 60°, v = 8, 6
Consider unit vector a = (x, y)
x² + y² = 1 …. (1)
Now apply the dot product of unit vector with v
a.v = |a||v|cos Ø
a.v = √ (x² + y²) √ (8² + 6²) cos 60º
8x + 6y = 1 × 10 × ½
So we get,
8x + 6y = 5 …. (2)
y = (5 - 8x) / 6
Substituting the value of y in equation (1)
x² + y² = 1
x² + [(5 - 8x)/6]² = 1
x² + 25/36 + 16x²/9 - 20x/9 = 1
25x²/9 - 20x/9 = 11/36
So we get,
4 × (25x² - 20x) = 11
100x² - 80x = 11
100x² - 80x - 11 = 0
Now solve the quadratic equation,
x = { 2/5 ± √5/10}
Substituting the value of x in equation (2)
y = 3/10 ± 2√5/15
Therefore, the two unit vectors are (2/5 +√5/10, 3/10 + 2√5/15) and (2/5 -√5/10, 3/10 - 2√5/15).
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Sean wants to make a frame for painting. the painting is square and has area 225 square inches. the framing material cost $1.35 per inch. how much will he spend?
Answers
As per the unitary method, Sean will spend $91.80 on the framing material for his painting.
Let's call this length "x". Therefore, the area of the square painting can be expressed as:
Area of the square painting = x²
We know that the area of the painting is 225 square inches. Therefore, we can write:
x² = 225
To solve for x, we can take the square root of both sides of the equation:
x = √(225) x = 15
So, the length of each side of the painting is 15 inches.
Therefore, the new length of each side of the painting will be
=> 15 + 2 = 17 inches.
Now, let's calculate the perimeter of the framed painting. Since the painting is square-shaped and the length of each side is 17 inches, the perimeter of the framed painting can be expressed as:
Perimeter of the framed painting = 4x
Perimeter of the framed painting = 4(17)
Perimeter of the framed painting = 68 inches
To calculate the cost of the framing material, we need to multiply the perimeter of the framed painting by the cost per inch of the framing material, which is given to be $1.35 per inch.
Therefore, the cost of the framing material can be expressed as:
=> Cost of the framing material = Perimeter of the framed painting x Cost per inch
=> Cost of the framing material = 68 x 1.35 Cost of the framing material = $91.80
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what number is six more than 1/3 of 90? step by step I have a test tomorrow and I don't know any math
Answers
Answer:
36
Step-by-step explanation:
First, just multiply 90 by 1/3. 90 is equal to 90/1 as any number divided by 1 is still equal to itself.
\(\frac{90}{1}*\frac{1}{3}=\frac{90*1}{1*3}=\frac{90}{3}\)
Now, 90/3 is just 90 ÷ 3.
\(90 \div 3 = 30\)
Finally, just add 6 to it.
\(30+6=36\)
Answer:
36
Step-by-step explanation:
1/3 of 90 is 30
6 more is 30+6=36
PLS HELP ASAP
It takes 24 electricians 36 days to wire a new housing subdivision. How many days would 32 electricians take to do the same job?
Answers
Answer: The 32 electricians are expected to finish the job in 27 days.
Step-by-step explanation:
Unit Rate as Slope
Unit Rate as Slope
Answers
Answer:
1.5
Step-by-step explanation:
Divide 3 by 2
3/2 is equal to 1.5 in decimal form, so that would be your answer.
Marisa has $26 in her purse. She pays $5 for lunch. Which expression represents this situation?
Answers
Answer: 26-5
Step-by-step explanation:
literally you take 5 aways from 26
Consider again the company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper
specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm.
(Round your answer to 6 decimal places.)
a. What is the probability that a tire will be too narrow?
(Round your answer to 6 decimal places.)
b. What is the probability that a tire will be too wide?
(Round your answer to 6 decimal places.)
c. What is the probability that a tire will be defective?
Answers
a) The probability that a tire will be too narrow is 0.252492. b)The probability that a tire will be too wide is 0.091211. c) , the probability that a tire will be defective is 0.252492 + 0.091211 = 0.343703.
a. To calculate the probability that a tire will be too narrow, we need to find the area under the normal distribution curve that falls below the lower specification limit.
Using the Z-score formula, we calculate the Z-score for the lower specification limit as follows:
Z = (Lower specification limit - Mean) / Standard deviation
Z = (22.8 - 23) / 0.15
Z = -0.666667
Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the left of Z = -0.666667 is approximately 0.252492.
b. To calculate the probability that a tire will be too wide, we need to find the area under the normal distribution curve that falls above the upper specification limit.
Using the Z-score formula, we calculate the Z-score for the upper specification limit as follows:
Z = (Upper specification limit - Mean) / Standard deviation
Z = (23.2 - 23) / 0.15
Z = 1.333333
Next, we find the corresponding area from the standard normal distribution table or using a calculator. The area to the right of Z = 1.333333 is approximately 0.091211.
c. The probability that a tire will be defective is the sum of the probabilities of it being too narrow and too wide, since being outside the specification limits indicates a defect.
Therefore, the probability that a tire will be defective is approximately 0.252492 + 0.091211 = 0.343703.
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PLEASSSE HELLPP
Using the graphs, what is the value of g(f(3))
a) 1
b) 5
c) 0
d) 2
Graphs pictured ^
Answers
Answer:
C : 0
Step-by-step explanation:
First find f(3). That value is 2.
Then g(f(3)) = 0.
Ms.D bought 8 1/2 pounds of ham from Excellente Hambaked Shop. She gave 1 3/4 pounds of ham to Mr.Chavir. How many pounds of ham does she have left?
Answers
The amount of ham Ms.D has left is \(6\frac{3}{4}\) pounds.
How to find the pounds of ham she has left?Ms.D bought \(8\frac{1}{2}\) pounds of ham from Excellente Hambaked Shop. She gave \(1\frac{3}{4}\) pounds of ham to Mr.Chavir. The number of pounds of ham she has left can be calculated as follows:
Hence, the amount of hams in pounds she has left is the difference between what she had and the amount of pounds of hams she gave to Mr Chavir.
Therefore,
Amount bought by Ms.D = \(8\frac{1}{2}\) pounds
Amount given to Mr.Chavir. = \(1\frac{3}{4}\) pounds
Therefore,
Amount of she has left = \(8\frac{1}{2}\) - \(1\frac{3}{4}\)
Amount of she has left = \(\frac{17}{2} - \frac{7}{4}\)
Amount of she has left = \(\frac{34-7}{4}\)
Amount of she has left = \(\frac{27}{4}\)
Amount of she has left = \(6\frac{3}{4}\) pounds
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-3ab+4ac-2ad=-(3ab-4ac+2ad)
true
false
other:
Answers
Answer:
True
Step-by-step explanation:
6a-5b=-8
2a+5b=-16
solve the system of equations!! show your work :)
Answers
Answer:
A=2 B=4
Step-by-step explanation:
Answer:
(a, b) = (-3, -2)
Step-by-step explanation:
You want to solve the system of equations ...
6a -5b = -82a +5b = -16EliminationWe notice the coefficients of b are opposites, so adding the two equations will eliminate b:
(6a -5b) +(2a +5b) = (-8) +(-16)
8a = -24 . . . . . . . . simplify
a = -3 . . . . . . . . . divide by 8
Substituting this value into the second equation, we have ...
2(-3) +5b = -16
5b = -10 . . . . . . . . . . add 6
b = -2 . . . . . . . . . divide by 5
The solution is a=-3, b=-2.
__
Additional comment
The attached graph solves the equations using a=x, b=y.
What is the decimal for the fraction 22/4
Answers
The decimal for this fraction is 5.5
Answer:
The decimal for the fraction is 5.5.
Step-by-step explanation:
Between 20/4 and 24/4, you can safely assume that the fraction provided is between 5 and 6 which makes part of your answer as a whole number 5. Since 22/4 is exactly between the fractions mentioned above, it is safe to assume that the decimal is 5.5 with .5 being half of the number.
Solve using distributive property. (3x2-2x+7)(x2+2x) Thank you!
Answers
Answer:
\(3x^4+4x^3+3x^2+14x\)
Step-by-step explanation:
\((3x^2-2x+7)(x^2+2x)\)
\(3x^4+6x^3-2x^3-4x^2+7x^2+14x\)
\(=3x^4+4x^3+3x^2+14x\)
Answer:
3x^4+4x^3-3x^2+14x
Step-by-step explanation:
(3x^2-2x+7)(x^2+2x)
= 3x^2(x^2+2x)-2x(x^2+2x)+7(x^2+2x)
= 3x^4+4x^3-3x^2+14x
Dr. Iske Larkin mentioned that the current population of manatees in 2010 was about 5000. Which of the following statements explains this further? That the sample for a study of manatees was about 5000. That the total number of manatees (as close as could be estimated) is about 5000.
Answers
The statement that explains Dr. Iske Larkin's mention of the current population of manatees in 2010 being about 5000 is that the total number of manatees (as close as could be estimated) is about 5000.
It is important to note that this is a population estimate, meaning it is not a precise count, but rather a scientific estimate based on various surveys and data collection methods. While it is difficult to determine an exact population size for a species that inhabits vast areas and is often difficult to track, scientists use various techniques to arrive at an estimate.
These techniques include aerial surveys, tagging and tracking individuals, and monitoring reproductive rates. In the case of manatees, the estimate of around 5000 individuals in 2010 is based on years of research and data collection. This number is important for conservation efforts, as it helps to determine whether the species is increasing,
decreasing, or stable in numbers. Dr. Iske Larkin's statement about the current population of manatees in 2010 refers to the total number of manatees, as close as could be estimated, being about 5000. This does not necessarily imply that the sample size for a study of manatees was 5000, but rather provides an approximate count of the entire manatee population at that time.
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anybody know the answer if so can you please provide the step by step so i can understand it
Answers
Answer:
35,000 feet
Step-by-step explanation:
So t is the atmospheric temperature
g is the ground temperature
First sub in the values that you know
t = -65.5 and g = 57
-65.5 = -0.0035a + 57
Rearrange: to make 'a' on its own
-65.5 - 57 = -0.0035a
-122.5/-0.0035 = a
Use a calculator
a = 35,000 ft
An audio player uses a low-quality hard drive. The initial cost of building the player is $50.The hard drive fails after each month of use with probability 1/12.The cost to repair the hard drive is $20. If a 1-year warranty is offered, how much should the manufacturer charge so that the probability of losing money on a player is 1% or less
Answers
The given problem can be solved using binomial distribution and expected value.
Given that the audio player uses a low-quality hard drive, the initial cost of building the player is $50, and the hard drive fails after each month of use with probability 1/12. The cost to repair the hard drive is $20.
If a 1-year warranty is offered, the manufacturer should charge $67.37 or more so that the probability of losing money on a player is 1% or less.
Let the price charged by the manufacturer be $X
The probability of the player failing in a given month = 1/12
Let the probability of the player not failing in a given month be q.
Therefore q = 11/12
Cost of repairing the player = $20
Therefore, the cost of production of the player along with the cost of repairing for the whole year is
$50 + (12 * $20) = $290
Probability of the player not failing in the year = (11/12)^12
Probability of the player failing at least once in the year = 1 - (11/12)^12
Let Y be the number of failures in a year.
Therefore, Y can take the values 0, 1, 2, ..., 12, each with a certain probability.
P(Y=k) = C(12,k) p^k (1-p)^(n-k),
where C(12,k) = 12!/[k!*(12-k)!], p = 1/12, n= 12
For the manufacturer to not lose money, the expected amount received from selling one player should be at least the cost of production for the player along with the cost of repair for the year plus the amount that needs to be paid to customers for warranty claims.
Mathematically, it can be written as:
X * [1 - P(Y≤1)] ≥ $290 + X * P(Y>1)
On solving this inequality, the value of X comes out to be $67.37 or more.
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What value of c makes x2 6x c a perfect square trinomial? c = if x2 6x c = (x d)2, then d = .
Answers
The value of 'c' and 'd' are 9 and 3 respectively in the given equation \(\rm\rm x^2+6x+c= (x+d)^2\)
It is given that the quadratic expression \(\rm x^2+6x+c\)
It is required to find the value of c to make the above expression a perfect square.
What is a quadratic equation?A quadratic equation is a second-degree algebraic equation represented by the:
\(\rm Ax^2+Bx+C=0\) ........(1)
Where A, B, and C are the constants and \(\rm A\neq 0\)
We have a quadratic expression:
\(\rm x^2+6x+c\)
To make the above expression a perfect square the value of c will be:
\(\rm c = (\frac{B}{2A} )^2\) where B = 6, and A = 1
\(\rm c = (\frac{6}{2\times1} )^2 \Rightarrow 9\)
If \(\rm\rm x^2+6x+c= (x+d)^2\)
\(\rm\rm x^2+6x+c= x^2+2dx+d^2\) put the value of 'c', we get:
\(\rm\rm x^2+6x+9= x^2+2dx+d^2\)
By comparing both sides, we get:
2d = 6 (Coefficient of the x)
d = 3
Thus, the value of 'c' and 'd' are 9 and 3 respectively in the given equation \(\rm\rm x^2+6x+c= (x+d)^2\)
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What value of c makes x2 + 6x + c a perfect square trinomial?
-------------------
c =
✔ 9
-------------------
If x2 + 6x + c = (x + d)2, then
-------------------
d =
✔ 3
-------------------
What is the difference between 216 and 125?
O A. 1
OB. 4
O C. 4.5
OD. 30.3
O E. 91
Answers
|x + 3| – 1 = (x + 2)2
Answers
Step-by-step explanation:
Given the equation:
x
2
3
x
3
x
2
1
x
Find:
x
- ?
(x^2+3)/(x-3)+x^2-1=x
What is the surface area of the cylinder shown below? Use 3.14 for π. A. 660 cm2 B. 863 cm2 C. 353.25 cm2 D. 785 cm2
Answers
Answer:
602.88cm²
Step-by-step explanation:
Find the image of the cylinder attached
Surface area of a cylinder = A=2πrh+2πr²
r is the radius = 4cm
Height h = 20cm
Substitute
A = 2πr(r+h)
A = 2π(4)(4+20)
A = 8π(24)
A = 192π
A = 192(3.14)
A = 602.88cm²
Hence the surface area of the cylinder is 602.88cm²
