A study was performed with a random sample of 513 bolts produced at one factory. What population would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases?.
Answers
The population that would be appropriate for generalizing conclusions from the study, assuming the data collection methods used did not introduce biases is All 513 bolts that were randomly selected.
What sample should be used to generalize the conclusions from a study?Generalizing the conclusions from a study can only be done with a sample that is well-represented. The question here says that all 513 bolts were chosen without bias. This means that a fair conclusion can be reached from the sample.
So, the results that occur from studying the 513 bolts can be sure to produce accurate results. Moreso, the population is large, thus, the population can be used to generalize conclusions.
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Related Questions
Given that B is the image of A, clearly draw the line of reflection on the graph below.
(a)
(a)
POINT
LINE
10
9
8
7
6
5
A
4
2
1
-1007
-6
43
12
3
5
7
9
10
Answers
Answer:
That is right if what you are asked is to mirror the value of b to a
Step-by-step explanation:
Please help!! Find the scale factor dilation
Answers
Answer:
2
Step-by-step explanation:
take any point
i am taking F
coordinate of F is (5 , 3)
F' is (10,6)
so use formula
(x , y) = (kx , ky)
(5 , 3) = (5k , 3k) = (10 , 6)
compare corresponding elements
5k = 10
k = 10/5
k = 2
3k = 6
k = 6/3
k = 2
note here k means scale factor
A microbiologist is growing bacteria cultures in the lab. After 5 minutes, a bacteria colony has 1.3 million organisms. After 12 minutes, the same colony has 41.5 million organisms. After 15 minutes, the colony has grown to 101.3 million organisms. Is this a proportional or non-proportional relationship?
Answers
Answer: Non proportional
Step-by-step explanation:
To know if the values given are proportional or not, we will use the formula:
y = kx
where
y = number of organisms
x = number of minutes
k = constant of proportionality
After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx
1,300,000 = 5k
k = 1,300,000 / 5
k = 260,000
After 12 minutes, the same colony has 41.5 million organisms. Using y= kx
41,500,000 = 12x
x = 41500000 / 12
x = 3458333.8
After 15 minutes, the colony has grown to 101.3 million organisms.
y = kx
101,300,000 = 15k
k = 101,300,000 / 15
k = 6753333.8
It is a non-proportional relationship as the constant of proportionality is different for each.
2 − 8 ÷ (2 to the 4th power ÷ 2) =
Answers
Answer:
1Step-by-step explanation:
2 − 8 ÷ (2 to the 4th power ÷ 2) =Remember PEMDAS
2 - 8 : (2^4 : 2) =
2 - 8 : (16 : 2) =
2 - 8 : 8 =
2 - 1 =
1Could someone help me here?
Answers
Answer:
c
Step-by-step explanation:
The average of a sample of high daily temperature in a desert is 114 degrees F, a sample standard deviation or 5 degrees F, and 26 days were sampled. What is the 90% confidence interval for the average temperature? Please state your answer in a complete sentence, using language relevant to this question.
Answers
In a sample of 26 days from the desert, the average of the high daily temperature is 114 degrees F, and the sample standard deviation is 5 degrees F.
To determine the 90% confidence interval for the average temperature, we can use the t-distribution as follows:To find the critical value of t, we can use the t-table. Since our sample has n = 26, the degrees of freedom (df) are n - 1 = 25. At a confidence level of 90%, with 25 degrees of freedom, the critical t-value is 1.708.The standard error of the mean is calculated as s / sqrt(n), where s is the sample standard deviation and n is the sample size. Therefore, the 90% confidence interval for the average temperature is (114 - 1.67, 114 + 1.67), or (112.33, 115.67) degrees F.
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19 + 1.5(10m – 8) = 127
Answers
\(19+1,5(10m-8)=127\\\\19+15m-12=127\\\\15m+7=127 \ \ /-7\\\\15m=120 \ \ /:15\\\\\huge\boxed{m=8}\)
Answer:
\(m=8\)
Step-by-step explanation:
\(19 + 1.5(10m-8) = 127\)
Multiply both sides by 10
\(190+15(10m-8)=1270\)
Subtract 190 from both sides
\(15(10m-8)=1080\)
Divide both sides by 15
\(10m-8=72\)
Add 8 to both sides
\(10m=80\)
Simplify
\(m=8\)
PLEASE FILL IN BLANK I WILL MARK AS BRAINLIEST
Let f(2)=32 and g(x) = ID.
Use the composition of functions to determine if f(x) and g(2) are inverse functions.
Drag and drop the answers into the boxes to correctly complete each statement.
f(g(x)) =
()
9(f(x))
) =
The function f(x)
the inverse of g(x)
Answers
Answer:
\(\sqrt[3]{x}\)
\(x^3\)
is
Step-by-step explanation:
The proportion of children that catch a cold while at school is 0.49. As a school nurse explores options to help limit the spread of a virus in school, she sets up a study. For what sample size, n, will the sampling distribution of sample proportions have a standard deviation of 0.02? Provide your answer below:
children__
Answers
The sample size needed for the sampling distribution of sample proportions to have a standard deviation of 0.02 is approximately 628 children.
The formula for the standard deviation of the sampling distribution of sample proportions is:
\(σp = sqrt[p(1-p)/n]\)
Where p: population proportion (0.49 in this case) and n: sample size.
We are given that σp = 0.02. So, we can set up the equation:
\(0.02 = sqrt[0.49(1-0.49)/n]\)
Simplifying:
0.0004 = 0.24/n
n = 0.24/0.0004
n = 627.5 = 628
However, this is only an estimate because the sample size must be a whole number. Since we cannot have a fractional sample size, we round up to the nearest whole number:
n = 628
To calculate the sample size (n) needed to achieve a standard deviation of 0.02 for the sampling distribution of sample proportions, we'll use the formula:
\(Standard Deviation = sqrt[(P * (1 - P)) / n]\)
where P: proportion of children that catch a cold while at school (0.49), and n: sample size we want to find. We're given the desired standard deviation as 0.02. Now, let's solve for n:
\(0.02 = sqrt[(0.49 * (1 - 0.49)) / n]\)
Square both sides to get rid of the square root:
0.0004 = (0.49 * 0.51) / n
Now, solve for n:
n = (0.49 * 0.51) / 0.0004
n = 627.75
Since we can't have a fraction of a child, we'll round up to ensure the standard deviation is no greater than 0.02:
n = 628 children
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Compute the determinant of the following elementary matrix. 1 0 0 0 1 0 0 0 -k 1 0 0 0 0 1 0] =
Answers
The determinant of an elementary matrix of this form is always equal to 1. Therefore, the determinant of this matrix is 1.
A single elementary row operation on the identity matrix yields a square matrix known as an elementary matrix. Simple row operations include adding a multiple of one row to another row and multiplying a row by a non-zero scalar. The resulting matrix is still invertible, and the opposite elementary row operation can be used to create the inverse of the identity matrix. In linear algebra, elementary matrices are used to describe and work with systems of linear equations. They also offer a practical method for computing determinants and resolving matrix equations. Additionally, they are used in encryption and computer graphics.
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solve the following: x+5=11 x-6=8 3+x=7 12=x+5
Answers
Answer:
1) x = 6
2) x = 14
3) x = 4
4) x = 7
Step-by-step explanation:
1) x+5=11
x = 11-5
x =6
2) x-6=8
x = 8+6
x = 14
3) 3+x=7
x = 7-3
x = 4
4) 12=x+5
12-5 = x
7 = x
a police car is located 40 feet to the side of a straight road. a red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. the police radar reads that the distance between the police car and the red car is decreasing at a rate of 95 feet per second. how fast is the red car actually traveling along the road? the actual speed (along the road) of the red car is
Answers
The actual speed of the red car along the road is 95 feet per second.
In this scenario, the police car and the red car are located at different positions relative to the road. The police car is situated 40 feet to the side of the road, while the red car is driving along the road, 130 feet up the road from the police car.
Given that the distance between the police car and the red car is decreasing at a rate of 95 feet per second, this represents the rate at which the two cars are getting closer to each other. This rate of change is known as the "rate of decrease" or "rate of approach."
Since the red car is moving along the road, the rate at which it is traveling can be determined by considering its motion parallel to the road. In this case, the rate of approach between the two cars represents the rate at which the red car is actually traveling along the road. Therefore, the actual speed of the red car along the road is 95 feet per second.
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decide whether enough information is given to prove that $\triangle abc\cong\triangle dbe$ using the sss congruence theorem. explain. two triangles, triangle a c b and triangle d e b that share a common vertex b. point b is on the segment a d. in triangle a c b, side a c is marked with single tick, side b c is marked with double ticks and side a b is marked with three ticks. in triangle d e b, side d e is marked with single tick, side b e is marked with double ticks and side b d is marked with three ticks.put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse.you are given that $\overline{ab}\cong$ response area, $\overline{bc}\cong$ response area, and $\overline{ac}\cong$ response area. so, the triangles response area be proven congruent using the sss congruence theorem.
Answers
No, enough information is not given to prove that triangles are congruent using the SSS congruence theorem.
The SSS congruence theorem expresses that assuming in two triangles, three sides of one are consistent to three sides of the other, then, at that point, the two triangles are said to be congruent.
Now, we are given that triangle ACB and triangle DEB that share a common vertex b. So, both triangles share a common side. So, one side is same for both of triangles.
From the diagram, we can see that both triangles opposite side are equal. So, second side is equal for both of triangles.
Now, from the diagram, we can see that both triangles vertically opposite angles are equal. So, we have two sides equal and one angle is equal.
So, given triangle is proved to congruent by SAS congruency not by SSS congruency.
Hence, enough information is not given.
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1. Suzie had d DVDs. Her mother bought her 39 more DVDs.
2. Dave pays 10$ each month plus 2$ for every hour he practices in a music class. Write an expression to find the total amount paid for t hours
3. The cost to rent a party plot is $50. If the cost of food per person is 5$. Write an expression to find the total cost if there are n people invited for the party
4. If the side length of a square is x cm. Write an expression to find the perimeter of a square.
5. The cost of a pizza is 8$. If every extra topping costs $2, write an expression to find the total cost with n extra toppings
6. A phone company provider charges $25 as registration fee and $15 every month. Write an expression to find the total cost after t months
7. There are n hockey players. Write an expression to find the total number of hockey sticks if each player has 4 sticks
8. Let n represent any term number.
Write a relation for the term for each number pattern.
9. An equilateral triangle has three equal sides.
Write a relation for the perimeter of an equilateral triangle with side length k.
What is the perimeter of an equilateral triangle with side length 15 cm?
10. The cost of soccer jerseys for the soccer team is $50 for the initial set-up, plus $15 for each jersey ordered.
a) Write a relation for the total cost of j jerseys.
b) Another company charges $80 for the initial set-up, and $12 per jersey. Write a relation for the total cost of j jerseys for this company.
c) Which company would charge less if you ordered 12 jerseys?
11. Suggest a real-life situation that could be represented by each relation.
a) n + 7 is related to n
b) 4s + 5 is related to s
12. There are n students in the concert band.
Write a relation for each statement.
a) the total number of music stands, if each pair of students shares one stand
b) the total number of chairs, if there are 4 more chairs than students
c) the total number of sheets of music, if each student has 7 sheets
please. help meee :(((
Answers
Answer:
1. The expression that represents the total number of DVDs Suzie has is d + 39
2. The expression for the amount Dave pays for t hours of practice in a month is 10 + 2 × t
3. The expression for the total cost for n people invited for the party is $50 + $5 × n
4. The expression for the perimeter of a square with side length, x is 4 × x
5. The expression for the total cost of pizza with n extra toppings is $8 + $2 × n
6. The expression for the total cost in phone charges after t months is $25 + t × $15
7. The expression for the total number of hockey sticks for n players is 4 × n
8. The relation that represent the term for each number pattern is given as follows;
Value = nth term of number
9. The relation for the perimeter of an equilateral triangle with side length k is given as follows;
Perimeter of an equilateral = 3 × Side length
∴ Perimeter of the given equilateral triangle = 3 × k
When k = 15, we have;
Perimeter of the equilateral triangle = 3 × 15 cm = 45 cm
10. a) The relation for the total cost of j jersey is $50 + $15 × j
b) The relation for the total cost of j jersey by the other company is $80 + $12 × j
c) The charges for 12 jerseys by the first company is $50 + $15 × 12 = $230
The charges for 12 jerseys by the first company is $80 + $12 × 12 = $224
Therefore, the second company will charge less if 12 jerseys are ordered
11. The real life situation that could be represented by each relation are;
a. n + 7
For every mass in grams of goods bought, n, we get a 7 gram mass of packaging
b. 4s + 5
The distance from a point covered by jogging at 4 m/s after s seconds while starting at 5 meters away from the point in the direction of jogging
12. a) The relation for the total number of music stand is n/2
b) The relation for the total number of chairs is n + 4
c) The relation for the total number of sheets of music is 7 × n
Step-by-step explanation:
How is an imaginary number created? Why is it considered imaginary? Provide an example if necessary
Answers
Answer:
well you imagine a number like 47 and it's considered imaginary because you just picked a random number, and you imagined it.
Step-by-step explanation:
I hope that helped. STAY SAVAGE
the base of a right prism has an area of 10 square feet. the height of the prism is 6 feet. what is its volume?
Answers
The volume of the right prism with a base area of 10 square feet and a height of 6 feet is 60 cubic feet.
A prism is a polyhedron that has a base and a top face that are the same in size and shape, with sides connecting them that are rectangles in a right prism.
A right prism is a prism in which all of the side faces are perpendicular to the base.
Therefore, the height of the right prism is perpendicular to the base as well.
A right prism has a volume equal to the product of the base area and the height.
This formula can be represented as:
V = Bh
Here, B represents the area of the base, and h represents the height.
The volume of the right prism can be found by multiplying the area of the base by the height of the prism, according to the formula:
V = Bh.
In this problem, the area of the base of the prism is given to be 10 square feet.
The height of the prism is 6 feet.
We can simply substitute these values into the formula to obtain the volume of the right prism as follows:
V = BhV
= 10 × 6V
= 60
Therefore, the volume of the right prism is 60 cubic feet.
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Can someone help me, please?
Answers
Answer:
112
Step-by-step explanation:
Solve for x.
0 < 3x – 6 < 18
O 0sxs8
2
O x<0 or x = 8
Oxs 2 or x 28
Answers
Answer:
2 ≤ x ≤ 8
Step-by-step explanation:
0 ≤ 3x - 6 ≤ 18
0 ≤ 3x - 6
6 ≤ 3x
2 ≤ x
3x - 6 ≤ 18
3x ≤ 18 + 6
3x ≤ 24
x ≤ 8
Combined:
2 ≤ x ≤ 8
Answer:
2 ≤ x≤ 8
2nd option:)
Step-by-step explanation:
Habib cut out a rectangle that ha a perimeter of 60 inche and a length of 16 inche. They cut out another rectangle that i the ame length and twice a wide
Answers
The required perimeter of the new rectangle is 66 inches.
What is a rectangle?A quadrilateral with all of its angles equal, or right angles, is a rectangle.
In addition to having all equal angles, a square also has all equal sides.
Therefore, a particular case of a square is a rectangle.
To put it another way, a rectangle can also be a square (when all sides to are equal).
Because every square is a quadrilateral with all four angles at right angles, every square is also a rectangle.
To be a square, a rectangle's sides must all be the same length, hence not all rectangles are squares.
So, a perimeter equals 2(l+b).
50 is the circumference and 17 is the length here.
Suppose the breadth is x.
50 = 2(17+x)
50 = (2*17)+(2*x)
50 = 34 + 2x
50 - 34 = 2x
16 = 2x
16/2 = x
8 = x
The first triangle's width is eight inches.
We know that the length of the other rectangle is 17.
And that the width is two times that of the first triangle.
Length = 17, width = 2*8 = 16, etc.
For the border:
p = 2(l+b)
p = 2(17+16)
p = (2*17)+(2*16)
p = 34+32
p = 66
Therefore, the required perimeter of the new rectangle is 66 inches.
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Complete question:
Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches. He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle?
Find the two one-sided limits as x = 0 of the piecewise defined function so if x < -4 f(x) = 3 if x > -4 (If a limit does not exist, enter Ø as your answer.) Provide your answer below: a. lim f(x) = 0 x → 0 b. lim f(x) = +0
Answers
The one-sided limits at x = 0 are: lim f(x) = 0, as x approaches 0 from the left (x → 0-)
lim f(x) = 3, as x approaches 0 from the right (x → 0+)
The function f(x) is defined as:
f(x) = { 3, if x > -4
{ Ø, if x = -4
{ 0, if x < -4
To find the one-sided limits at x = 0, we need to evaluate the function from the left and the right of x = 0.
a. The left-hand limit at x = 0 is:
lim f(x) = lim 0 = 0
x → 0-
Since x < -4 implies that f(x) = 0, the function approaches 0 from the left-hand side.
b. The right-hand limit at x = 0 is:
lim f(x) = lim 3 = 3
x → 0+
Since x > -4 implies that f(x) = 3, the function approaches 3 from the right-hand side.
Therefore, the one-sided limits at x = 0 are:
lim f(x) = 0, as x approaches 0 from the left (x → 0-)
lim f(x) = 3, as x approaches 0 from the right (x → 0+).
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HELPPPPPPPPPPPPPPP
How can you use inverse operations to solve equations with
addition and subtraction?
(make the answer on the simpler side please)
Answers
Answer & Step-by-step explanation:
You can check your answer easily by using inverse operations. For example, if you're solving for 1+2, you can check it by subtraction. Since 1+2=3, you can subtract 3 by 1, and you come up with 2.
Hope this helps and have a nice day (～￣▽￣)～
5. Identify the number that is the value of 600.
A. 6,000
B. 6
C. 60
D. 0.6
Answers
Answer:
I think it's 6 or 0.6
Consider the function represented by 9x+3y = 12 with x as the independent variable. How can this function be
written using function notation?
ORD=-v+
O f(x) = -3x+4
OF) = -3y+ 4
Answers
Answer:
f(x) = - 3x + 4
Step-by-step explanation:
letting y = f(x) , rearrange making y the subject
Given
9x + 3y = 12 ( subtract 9x from both sides )
3y = - 9x + 12 ( divide all terms by 3 )
y = - 3x + 4, thus
f(x) = - 3x + 4 ← in functional notation
Solve the word problem and type your answer in the box below
Eleanor has to read a book in two weeks. If there are 182 pages in the book, how many pages
does she have to read each day?
Answers
Answer:
13 pages
Step-by-step explanation:
Eleanor has to read a book in 2 weeks which equal to 14 days : 2 weeks *7=14 days.
if Eleanor read the same number of pages daily : 182/14= 13
Eleanor has to read 13 pages each day to finish the book in two weeks.
Tập xác định of hàm số is . f ( x ) = sin x
Answers
2. Ricky went to the supermarket and buy ice cream for 12 pesos, bread for 8 pesos and milk for 15 pesos. How much money does he owe the cashier? 3. Ross was doing his math homework while I was finishing my science reading
Answers
Answer:
35 pesos
Step-by-step explanation:
12+8+15=35
A third of a number 9 (number phrase)
Answers
Answer:
A third of 9 is 3.
Step-by-step explanation:
9 / 3 = 3.
3 * 3 = 9
which number line represents the solution to the inequality
Answers
Explanation: x is greater than or equal to 5
Add.
(6x³ + 3x² − 2) + (x³ - 5x² − 3)
Express the answer in standard form. (Please and thank you)
Answers
Answer:
\(\\\sf7x^3 - 2x^2 - 5\)
Step-by-step explanation:
\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)
Remove parenthesis.
6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3
Rearrange:
6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3
Combine like terms to get:
7x^3 - 2x^2 - 5----------------------------------------
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Hope this helps! :)
Answer:
7x³ - 2x² - 5
Step-by-step explanation:
(6x³ + 3x² - 2) + (x³ - 5x² - 3)
Remove the round brackets.
= 6x³ + 3x² - 2 + x³ - 5x² - 3
Put like terms together.
= 6x³ + x³ + 3x² - 5x² - 2 - 3
Do the operations.
= 7x³ - 2x² - 5
____________
hope this helps!
Matti is making moonshine in the woods behind his house. He’s
selling the moonshine in two different sized bottles: 0.5 litres
and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for
a
Answers
Based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
To solve the problem using the determinant method (Cramer's rule), we need to set up a system of equations based on the given information and then solve for the unknowns, which represent the number of 0.5 litre bottles and 0.7 litre bottles.
Let's denote the number of 0.5 litre bottles as x and the number of 0.7 litre bottles as y.
From the given information, we can set up the following equations:
Equation 1: 0.5x + 0.7y = 16.5 (total volume of moonshine)
Equation 2: 8x + 10y = 246 (total earnings from selling moonshine)
We now have a system of linear equations. To solve it using Cramer's rule, we'll find the determinants of various matrices.
Let's calculate the determinants:
D = determinant of the coefficient matrix
Dx = determinant of the matrix obtained by replacing the x column with the constants
Dy = determinant of the matrix obtained by replacing the y column with the constants
Using Cramer's rule, we can find the values of x and y:
x = Dx / D
y = Dy / D
Now, let's calculate the determinants:
D = (0.5)(10) - (0.7)(8) = -1.6
Dx = (16.5)(10) - (0.7)(246) = 150
Dy = (0.5)(246) - (16.5)(8) = -18
Finally, we can calculate the values of x and y:
x = Dx / D = 150 / (-1.6) = -93.75
y = Dy / D = -18 / (-1.6) = 11.25
However, it doesn't make sense to have negative quantities of bottles. So, we can round the values of x and y to the nearest whole number:
x ≈ -94 (rounded to -94)
y ≈ 11 (rounded to 11)
Therefore, based on the calculation, it appears that Matti had approximately 94 bottles of 0.5 litres and 11 bottles of 0.7 litres in the last patch of moonshine that he sold.
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Question
Matti is making moonshine in the woods behind his house. He’s selling the moonshine in two different sized bottles: 0.5 litres and 0.7 litres. The price he asks for a 0.5 litre bottle is 8€, for a 0.7 litre bottle 10€. The last patch of moonshine was 16.5 litres, all of which Matti sold. By doing that, he earned 246 euros. How many 0.5 litre bottles and how many 0.7 litre bottles were there? Solve the problem by using the determinant method (a.k.a. Cramer’s rule).