The estimate of the population proportion of defectives is 0.05.
Given that,
There are 10 different samples of 50 observations, that is, total of 500 observations.
To find : The estimate of the population proportion of defectives
And total number of defectives from 500 observations is (5+1+1+2+3+3+1+4+2+3) = 25
Thus, the point estimate for the population proportion defectives will be,
=25/500=0.05
or just obtain the individual proportion of each sample and then take their average to obtain the same result.
Thus, the point estimate for the population proportion defectives will be 0.05
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Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya’s favorite book?
How far away do you live from your school?
Based on the information illustrated, the analysis implies the following:
a. nonstatistical.
b. statistical.
c. nonstatistical
d. statistical
What is a statistical question?A statistical question is one that can be answered by collecting varying amounts of data. A statistical question is one that does not have a single answer. Instead, you should expect a range of responses.
Identifying a statistical question necessitates knowledge of statistics. Statistics is a mathematical study that involves the collection, analysis, and interpretation of changing data. A statistical question will ask a question with a variable answer; data must be collected and analyzed, and the answer will provide an explanation of the information.
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statistical or nonstatistical What's the difference? is that statistical is of or pertaining to statistics while nonstatistical is not statistical.
Statistical sampling is more objective and uses probability to determine the appropriate sample size. While it is does not eliminate sampling risk, statistical sampling allows the auditor to measure sampling risk and take steps to control it. Nonstatistical sampling relies more on the auditor's judgment.
Thus, the correct answer is nonstatistical statistical nonstatistical statistical
Alanton is 16 miles from Oakley, 8 miles from Crawford, and 28 miles from Fayeville. How far is Alanton from Bishop?
Two similar triangles have,
The ratio of two sides of one triangle = Ratio of two sides of the other triangle
The distance between Alanton and Bishop is 14 miles.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
Alanton:
16 miles from Oakley.
8 miles from Crawford.
28 miles from Fayeville
We can have two similar triangles as shown below.
Two similar triangles have,
The ratio of two sides of one triangle = Ratio of two sides of the other triangle
AB / AC = DE/ DF
8 / 16 = x / 28
1/2 = x/28
x = 28/2
x = 14
Thus,
The distance between Alanton and Bishop is 14 miles.
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There are 40 coins in a roll of nickels .there are 50 coins in a roll of dimes and 20 coins in a roll of half -dollars.alondra has 3 rolls of coins. she has a total of 90 coins. make an organized list to show all the combinations of coin rolls. what coins does alondra have?
Answer:
she has 2 half dollors and 1 dimes
Step-by-step explanation:
2 half dollors means 2x20=40 coins
1 dimes means 1x50=50 coins
when you total it you get 50+40=90
so it is 3 rolls and it totally has 90
five people are to be seated around a circular table. two seatings are considered the same if one is a rotation of the other. how many different seatings are possible?
24 different seatings are possible when five people are to be seated around a circular table such that two seatings are considered the same if one is a rotation of the other.
What is fundamental counting principle?A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It asserts that if there are n ways to do something and then m ways to do something else, then there are nm methods to do both of these acts. The Fundamental Principle of Counting assists in determining how selection is made based on available options. The Fundamental Principle of Counting streamlines the method to choosing by taking into account all of the available options and their combinations in order to calculate the Probability.
Here,
Since there are 5 peoples,
let us fix the first person and remaining will be set according to that.
this can be arranged in,
(5-1)!=4!
=24 ways
When five persons are sitting around a circular table, 24 distinct seatings are available, with two seatings regarded the same if one is a rotation of the other.
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the ratio of 15 and square of m? This question is on Get More Math
The ratio of 15 and square of m is 15/m².
What is a ratio?A ratio simply refers to a mathematical expression that is typically used for denoting the proportion of two (2) or more quantities with respect to one another and the total quantities. This ultimately implies that, a ratio can be expressed as a quotient.
What is quotient?In Mathematics, quotient can be defined as a mathematical expression that is simply used to represent the division of a numerical value by another numerical value or variable.
In this scenario, the numerical value 15 would be the numerator while the variable m would be the denominator, and it should be expressed as follows:
Ratio = 15/m²
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alexander was studying the effect of playing rock music on plant growth. one of the plants was exposed to rock music for 24 hours a day for a period of 6 weeks. data on the growth of the plant was collected at the end of each week and plotted in a graph. based on the data, which would be the most reasonable measurement at the end of an 8 week period?
Eight decimeters are the most logical measurement after eight weeks, according to the statistics.
A line is described as a collection of points that stretches in both directions indefinitely. It has a single-length dimension. Collinear points are points that are located on the same line. Two points form a line, which is shown below an arrowhead.
If a line intersects two spots [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the line's equation,
y - [tex]y_1[/tex] = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex](x - [tex]x_1[/tex])
It is evident from the above graph that the line goes through points (0,0) & (1,1). Consequently, the trend line's equation is
y - 0 = [tex]\frac{1 - 0}{1 - 0}[/tex](x - 0)
y = x
To determine the most acceptable measurement after 8 weeks, change x = 8 in the equation above.
y = 8
After eight weeks, 8 decimeters are the most realistic measurement.
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The question is -
Alexander was studying the effect of playing rock music on plant growth. One of the plants was exposed to rock music 24 hours a day for 6 weeks. Data on the growth of the plant was collected at the end of each week and plotted in a graph, with time in weeks on the X-axis and height in decimeters on the Y-axis. Based on the data, which would be the MOST reasonable measurement at the end of 8 weeks?
A) 2 decimeters
B) 6 decimeters
C) 8 decimeters
D) 16 decimeters
At football practice the coach ends practice with sprint drills. Starting at the endzone, players sprint to the 10 yard line and back, the 25 yard line and back, and finally the 50 yard line and back. How much ground in yards is covered if all 11 players complete the drill.
Answer:
Step-by-step explanation:
they will sprint 75 yard in total
Answer:
1870
Step-by-step explanation:
10 x 2 = 20
25 x 2 = 50
50 x 2 = 100
20 + 50 + 100 = 170
170 x 11 = 1870
I cried over this problem so you dont have to :)
task 13: are the expressions equivalent? Simplify to prove, if the two expressions are not equal write the correct equivalence. #5: x(x+y+2) and x²+xy+2x #6: 2x(x+3) and 2x+6 distribute the following. 1. 3(x+2) 2. 4(y-1) 3. x(x+6) 4. x(y+4) 5. 3x(x+y-1)
Answer:
Step-by-step explanation: watch the video
Select all statements that are true about a linear relationship that is also a propotional relationship
A) The graph passes through the origin
B) The graph does not pass through the origin
C) The constant of proportionality can be found using run/rise
D) The slope is the same as the constant os proportionality
D) The slope is the same as the unit rate
For all proportional relationships, the true statements are:
A, D, and E.
Which statements are true about a proportional relationship?
A proportional relationship between two variables x and y is written as:
y = k*x
Now let's analyze each of the given statements:
A) The origin is the point (0, 0).
If you evaluate the general equation in x = 0 you get:
y = k*0 = 0
So yes, this equation passes through the point (0, 0).
B) This is false, as we saw above.
C) The formula for the constant of proportionality is:
y = k*x
y/x = k
So we can see that k = rise/run
the statement is false.
D) Yes, this is true, a general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept, particularly if the y-intercept is zero, then we have a proportional relation.
E) Yes, slope, unit rate, constant of proportionality, are all equivalent terms for a proportional relation.
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Cayaln is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 25 minutes, the muffins bake for 12minutes, and the cookie bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item.
How many minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time?
The number of minutes after Cayaln puts the trays in the oven will he first remove the scones, muffins, and cookie at the same time is 300 minutes
What is the number of minutes Cayal removes the scones, muffins, and cookie at the same time?Scones = 25 minutesMuffins = 12 minutesCookie = 10 minutesFind the least common multiple of 25, 12 and 10 minutes
25 = 25, 50, 75, 100, 125, 150, 175, 200, 225, 250, 275, 30012 = 12, 24, 36, 48, 60, 72, 84, 96, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240, 252, 264, 276, 288, 30010 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300The least common multiple of of 25, 12 and 10 minutes is 300 minutes.
Therefore, the number of minutes Cayal removes the scones, muffins, and cookie at the same time is 300 minutes
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Two trains are 525 miles apart heading toward each other on parallel tracks. Train A is traveling east at 30 miles per hour, while Train B travels west at 45 miles per hour. When will the trains pass each other?
The two trains will pass each other after 7 hours.
Both trains need to cover a distance of 525 miles before they cross each other.
We know, d = s × t
where d ⇒ total distance travelled
s ⇒ speed of the train
t ⇒ time taken for both trains to meet
For train A,
s = 30 miles per hour
Distance covered by train A in t hours = 30 × t
For train B,
s = 45 miles per hour
Distance covered by train B in t hours = 45 × t
As the total distance is 525 miles,
30t + 45t = 525
75t = 525
t = 7 hours
Hence, the trains will pass each other after 7 hours.
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if ratings on a measure of creativity contain nothing but random error, what would the reliability of that measure be?
50 would be the reliability of that measure by standard error.
What is the standard deviation?
The population mean and sample mean are likely to deviate from one another, and the standard error of the mean, or simply standard error, shows how likely this is. If a study were to be repeated using fresh samples drawn from a single population, it would be possible to calculate how much the sample mean would change.A measure that has no random error and no true score (i.e., is only random error) has zero reliability. A measure that has random error.
50 would be the reliability of that measure .
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Describe the relationship between the point B (5,-3) and the point A (5,3) in terms of reflections.
Answer:
The point does not lie in the solution sets of the given system of inequalities
Step-by-step explanation:
We need to check whether the point (1,-5) is a solution to the system of inequality
We substitute x=1 and y=-5 into the top inequality:
. This is true
We substitute x=1 and y=-5 into the bottom inequality:
. This is false.
Since the point does not satisfy both inequalities, it is not a solution to the system of inequalities.
your profile pic is pretty btw: and hope my answer helped
Graph the line that satisfies each condition.
11. slope = 3, passes through A(0,1)
12. slope = - 3 − 2 , passes through R(-4, 5)
13. passes through Y(3, 0), parallel to DJ
14. passes through T(0, -2), perpendicular with D(-3, 1) and J(3, 3) to CX with C(0, 3) and X(2, -1)
The graph of line 3x-y= -1 will be as follows.
What is a line?
A line is an endlessly long, straight object that, despite being drawn with a minimum width, is considered to have no particular width in mathematics.
Main Body:
slope = m = 3 point = (0,1)
The formula for one point form for a line is -
y-y₁ = m(x-x₁)
y- 1 = 3(x-0)
3x-y =-1
Now the graph for the line will be plotted by using the point given and the slope--
on Graph mark the point (0,1)
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help asap, ill give
The greatest number of bags Caesar can make is 16 bags. Each of these bags will have 5 boxes of pasta and 8 jars of sauce.
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.He could use 8 bags but this is not the greatest number he could use.What is the number of pasta and sauce in each bag?Boxes of pasta = 32Jars of sauce = 48Find the greatest common factor of 32 and 48
32 = 1, 2, 4, 8, 16, 3248 = 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.The greatest common factor of 32 and 48 is 16
So, the greatest number of bags Caesar can make is 16 bags
Number of pasta in each bag = 32/16
= 5 boxes of pasta per bag
Number of sauce in each bag = 48/16
= 8 jars of sauce per bag
If Caesar made fewer bags, he would have boxes of pasta and jars of sauce remaining.
He could use 8 bags but this is not the greatest number he could use.
Therefore, Caesar can use the greatest common factor to determine the highest number of bags he could use.
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neeed helppp pleaseeeeee
1. Solve the system by substitution.
y=x²-2x+1
y = 2x+1
On solving the system of equations by substitution method , the solution is x = 0 , y = 1 and x = 4 , y = 9 .
In the question ,
it is given that
the system of equation is
y = x² - 2x + 1
y = 2x + 1
by using substitution method ,
Substituting y = 2x + 1 in y = x² - 2x + 1
we get
2x [tex]+[/tex] 1 [tex]=[/tex] x² - 2x [tex]+[/tex] 1
x² - 2x [tex]+[/tex] 1 - 2x - 1 [tex]=[/tex] 0
x² - 4x = 0
x(x-4) = 0
So , x=0 or x = 4
for x=0 , y = 2x+1 = 1
for x = 4, y = 2(4) + 1 = 9
Therefore, the solution for the system of equations is x=0 , y=1 and x=4 , y=9 .
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A movie store had four hundred ninety-five movies they were putting on six shelves. If the owner wanted to make sure each shelf
had the same number of movies how many more movies would he need?
He may keep 82 movies on each shelf, using up to 492 movies and leaving 3 movies to retain.
What is arithmetic operation?Arithmetic operations is a field of mathematics that studies numbers and the operations on numbers that are helpful in all other disciplines of mathematics. It consists mostly of operations like addition, subtraction, multiplication, and division. Arithmetic Operator is used to conduct mathematical operations on the supplied operands such as addition, subtraction, multiplication, division, modulus, and so on. Arithmetic operators carry out operations on numbers. Variables are assigned values using assignment operators. Logical operators compare two values and return either "true" or "false" depending on whether the comparison is true (or false).
Here,
Movies that movie store has=495 movies
Number of shelves=6
If the owner wanted to make sure each shelf had the same number of movies,
=495/6
=82.5
He can keep 82 movies in each shelf that will use up to 492 movies and 3 movies will be left to keep.
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Find the area of the Polyogon below.
A =
12
14.49
Answer: 695.52
Step-by-step explanation:
The area of each triangle is [tex]\frac{1}{2}(12)(14.49)[/tex].
There are 8 triangles in the figure, so the area is [tex]8(1/2)(12)(14.49)=695.52[/tex].
adam and ben each have a fair coin. adam throws it 101 times, and ben throws it 100 times. what is the probability that adam gets strictly more heads than ben?
There is a change of 1/2 for Adam to get strictly more heads than Ben.
What is meant by the term probability?Probability originally referred to potential. A random event's occurrence is the subject of this field of mathematics. The range of the value is 0 to 1. Mathematics has employed probability to foresee the frequency of various events.The likelihood that Ben will get more heads than Adam is equal to the likelihood that Ben will get more tails than Adam. (by symmetry)
If Ben and Adam each have n+1 (101) coins, then Ben will receive more heads or even more tails than B, but never both.
Considering (1) and (2), we find that there is a 50% chance that Adam will get more heads than Ben.
Thus, there is a change of 1/2 for Adam to get strictly more heads than Ben.
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f(x)=x+a/x+b such that f(f(1))=0 and f(2)=-3 then the values of a and b respectively
The values of a and b are 8 and - 9.
Given that:
f(x) = x + a/x + b ........ (1)
f(1) = 0, f(2) = - 3
Putting the value of x = 1 in equation (1). We get,
f(1) = 1 + a/1 + b
f(1) = 1 + a + b ....... (2)
Putting the value of x = 2 in equation (1). We get,
f(2) = 2 + a/2 + b
f(2) = (4 + a + 2b)/2 ........ (3)
Putting the value of f(1) = 0 in equation (2). We get,
a + b = - 1 ......... (4)
Putting the value of f(2) = -3 in equation (3). We get,
=> -3 = (4 + a + 2b)/2
=> -6 = (4 + a + 2b)
=> a + 2b = - 10 ......... (5)
To find the value of a and b we have to solve equations (4) and (5) by elimination method.
So, for that subtract equation (4) from (5).
We got the value of b = - 9.
Then put the value of b in equation (4).
We got the value of a = 8.
Checking the value of a and b satisfies the value of the function's output and input.
Hence, the values of a and b are 8 and - 9 respectively.
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70 points need help asap
The angle ∠C is 130° by the alternative angles.
Given that,
In the figure we have a diagram.
We have to find the angle c.
The angles created on the opposing side of the transversal with regard to both straight lines when two straight lines are cut by it are referred to as alternative angles. Therefore, the angles that are on the opposing sides of the transversal and have distinct vertices are those.
We know that,
By alternative angles
∠M=∠C
So,
130°=∠C
Therefore, The angle ∠C is 130° by the alternative angles.
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The sum of five times a number and three is between -7 and 23.
The number of the given statement will be inequality -2 < x < 4.
We have been given the statement "the sum of five times a number and three is between -7 and 23".
Let the number would be x
As per the given statement, we can represent this algebraic form with inequality as:
⇒ -7 < 5x + 3 < 23
Subtract 3 on both sides of the above inequality
⇒ -7 - 3 < 5x < 23 - 3
⇒ -10 < 5x < 20
Divided by 5 into both sides of the above inequality
⇒ -2 < x < 4
Thus, the number of the given statement will be inequality -2 < x < 4.
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The question seems to be incomplete the correct question would be
Find the number if the sum of five times a number and three is between -7 and 23.
This square based pyramid
30 cm
is cut horizontally at a height of 15 cm
to leave this frustum
R
15 cm
10 cm
1 xarea of base x perpendicular height
Vol = x
10 cm
Calculate the volume of the frustum.
Answer:
875 cm³
Step-by-step explanation:
You want the volume of the 15 cm high frustum of a 30 cm high pyramid with a 10 cm square base.
Pyramid volumeThe volume of a pyramid is given by the formula ...
V = 1/3Bh
Where B is the area of the base:
B = s²
For the given pyramid, the volume is ...
V = 1/3(10 cm)²(30 cm) = 1000 cm³
Frustum volumeThe volume of the frustum is the volume of the whole pyramid, less the volume of the part that is cut off. The part that is cut off has dimensions that are 1/2 of those of the whole pyramid, so its volume is ...
V = (1/2)³ × (1000 cm³) = 125 cm³
Then the volume of the remaining frustum is ...
1000 cm³ -125 cm³ = 875 cm³
The volume of the frustum is 875 cm³.
__
Additional comment
The volume can also be calculated from the areas of the two bases of the frustum and its height.
V = (1/3)(B₁ +B₂ +√(B₁B₂))h
The top base is 5 cm square, so this evaluates to ...
V = (1/3)(100 cm² +25 cm² +√(100·25) cm²)(15 cm) = 1/3(175 cm²)(15 cm)
V = 875 cm³
each quiz in a course contains 15 questions. how many different ways could the questions on a given quiz be ordered?
The no. of ways could those question be ordered is 1307674368000 ways A combination is what?
When selecting components from a collection using the combination method, the sequence of selection is unimportant, in contrast to permutations. In simpler scenarios, the number of combinations can be counted.
The act of combining n objects into k groups, one at a time, without repetition Repetition-allowed combinations are usually referred to as k-selection or k-combinations with repetition.
Given
that, Total no of question in quiz is 15 The no. of ways could those question be ordered is 15! ways = 1307674368000 ways The number of possible ways for those questions is 1307674368000.
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the product of two numbers is 432.if GCF of the numbers is 12 then the greater number is ?
.i need the steps the answer is 36, Please help
The greater factor of 432, if 12 is the greatest common factor between the two factors is 36
What is greatest common factor?The Greatest Common Factor is defined as the largest number that is a factor of two or more numbers. For example, the GCF of 24 and 36 is 12, because the largest factor that is shared by 24 and 36 is 12. 24 and 36 have other factors in common, but 12 is the largest.
The factors of 432 are 36,12, 24 ,18,4,108
But the two factors of 432 that has a multiple of 12 is 12 and 36
12× 36 = 432
The factors of 12 = 1,2,3,4,6,12
The factors of 36 = 1,2,3,4,6,9,12,18,36
the common factors are ; 1,2,3,4,6 and 12
therefore the greatest common factor = 12
since the GCF between 12 and 36 is 12, the second number will be 36
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Using the quadratic formula to solve 11x2 - 4x = 1, what are the values of x?
√15
11
ㅇ
0
ㅇ
77+2√15
11
11
Answer:
x=2/11 + (1/11) (√15) or 2/11 - (1/11) (√15)
Step-by-step explanation:
Plug it into the quadratic formula
The values of x are 9/11 and -5/11.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
To use the quadratic formula to solve 11x² - 4x = 1.
We first need to rewrite the equation in the form ax² + bx + c = 0.
So,
11x² - 4x - 1 = 0
Now,
We can use the quadratic formula, which states that the solutions for the equation ax² + bx + c = 0.
x = (-b ± √(b² - 4ac)) / 2a
Now,
In our case,
a = 11, b = -4, and c = -1.
Substituting these values into the formula, we get:
x = (-(-4) ± √((-4)² - 4(11)(-1))) / 2(11)
x = (4 ± √(196)) / 22
x = (4 ± 14) / 22
So,
The solutions for the equation 11x² - 4x = 1
x = (4 + 14) / 22 = 9/11
x = (4 - 14) / 22 = -5/11
Therefore,
The values of x are 9/11 and -5/11.
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write the equation for the line through (4,3) with a slope of -1/2 in slope intercept form
The football team played 10 games and won 7 games. What was its winning percentage?
Answer: 70%
Step-by-step explanation:
Percentage is always out of 100. And 10x10 =100 so you do the same to 7 multiply it by ten then your answer is 70 which is 70%.
what is the value of X
-9(x+6)=-207
Answer:
x=17
It just is. I don't know how to explain it.