A random sample of 100 stores from a large chain of 1,000 garden supply stores was selected to determine the average number of lawnmowers sold at an end-of-season clearance sale. The sample results indicated an average of 6 and a standard deviation of 2 lawnmowers sold. A 95% confidence interval (5. 623 to 6. 377) was established based on these results. True or False: Of all possible samples of 100 stores taken from the population of 1,000 stores, 95% of the confidence intervals developed will contain the true population mean within the interval
Answers
The statement is True.
The statement "95% confidence interval (5.623 to 6.377)" means that if we were to repeat this process of taking 100 samples from the population and constructing a confidence interval for each sample, then about 95% of those intervals would contain the true population mean.
This is the definition of a confidence interval at a certain level of confidence (in this case, 95%). Therefore, the statement is true.
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The expression represents the distance in feet an object falls after seconds. The object is dropped from a height of 906 feet.
What is the height in feet of the object 2 seconds after it is dropped?
Write an expression representing the height of the object in feet seconds after it is dropped.
Answers
Answer:
\(842\ \text{ft}\)
\(y(t)=906-16t^2\)
Step-by-step explanation:
Let \(y\) be the height the object from the ground.
\(s\) be the initial height of the object = 906 ft
\(u\) = Initial velocity = 0
\(g\) = Acceleration due to gravity = \(32\ \text{ft/s}^2\)
\(t\) = Time
The expression would be
\(y(t)=s-ut-\dfrac{1}{2}gt^2\\\Rightarrow y(t)=906-16t^2\)
The required expression is \(y(t)=906-16t^2\)
At \(t=2\ \text{s}\)
\(y(2)=906-16\times 2^2\\\Rightarrow y(2)=842\ \text{ft}\)
The height of the object after 2 seconds of falling is \(842\ \text{ft}\).
Question 3 of 10
According to the stem-and-leaf plot above, how many drivers travel below 80 miles hour per hour?
A. 13
B. 7
C. 8
D. 2
Answers
Answer:
A
Step-by-step explanation:
the number below 80 mph is the totals from the rows 5, 6 and 7, that is
5 has 3 entries 4, 6, 6
6 has 4 entries 2, 2, 3, 4
7 has 6 entries 0, 0, 1, 2, 2, 3
that is total = 3 + 4 + 6 = 13
13 drivers travel below 80 miles per hour
Let B(t) = t represent the rate at which Ryan buys board games, measured in board games per year, after t years for t > 0. Let D(t) = 3t represent the rate at which Ryan donates the board games, losing them from his collection, measured in board games per year after t years for t> 0. If Ryan has 80 board games at t = 0 years, to the nearest board game, how many board games does Ryan have at t = 3 years? A. 76 B. 80 C. 84 D. 88
Answers
The number of board games Ryan has at t = 3 years can be determined by calculating the net change in his collection over that time period.
In the given scenario, Ryan buys board games at a rate of B(t) = t per year, and donates them at a rate of D(t) = 3t per year. To find the net change in his collection, we need to subtract the rate of donation from the rate of acquisition.
At t = 3 years, the rate at which Ryan buys board games is B(3) = 3 games per year, and the rate at which he donates board games is D(3) = 3(3) = 9 games per year. Therefore, the net change in his collection is 3 - 9 = -6 games per year.
Since the net change is negative, it means that Ryan is losing board games from his collection at a faster rate than he is acquiring them. Starting with 80 board games at t = 0 years, after 3 years, he would have 80 - 6(3) = 80 - 18 = 62 board games.
Therefore, to the nearest board game, Ryan would have approximately 62 board games at t = 3 years. Hence, the answer is not listed among the options given.
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A relation contains the points (-6, -2), (-3, -1), (0, 2), (5, -2), and (9, -7). Create a statement that accurately describes this relation.
Answers
find the rank of a 5 x 6 matrix a for which ax = 0 has a two-dimensional solution space.
Answers
Therefore, the rank of matrix 'a' in this case would be 5.
To find the rank of a matrix, we need to perform row reduction to obtain its row echelon form (REF) or reduced row echelon form (RREF). However, since the matrix 'a' is not provided, I cannot perform the calculations or determine its rank.
The rank of a matrix is equal to the number of non-zero rows in its row echelon form or reduced row echelon form. If the system of equations 'ax = 0' has a two-dimensional solution space, it means that the rank of matrix 'a' is less than the number of columns (6) but greater than 4 (since the solution space is two-dimensional).
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If x^y = y^x, then find dx/dy.
Answers
If x^y = y^x, then dx/dy = x/y * [(ln x - ln y) / (ln y - ln x * dx/dy)]
The given equation x^y = y^x can be rewritten as y = x * (ln y / ln x).
Using implicit differentiation, we get:
dy/dx = [1 * (ln y / ln x) + x * (1/y * (dy/dx) * ln y - 1/x)] / [(ln x)^2 / (ln y)]
Simplifying this expression, we get:
dy/dx = y/x * [(ln y - ln x) / (ln x - ln y * dy/dx)]
Therefore, the derivative dx/dy can be obtained by taking the reciprocal of dy/dx, giving:
dx/dy = x/y * [(ln x - ln y) / (ln y - ln x * dx/dy)]
Note that dx/dy may not have a closed-form solution, so we can only express it in terms of x and y.
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what geometric shape forms the hole that fits an allen wrench
Answers
Answer:
A hexagon
Step-by-step explanation:
A hexagon - - - the allen wrench has 2 hexagonal heads. See attached pic.
The geometric shape that forms the hole that fits an allen wrench is a hexagon, which is a six-sided polygon with straight sides and angles.
The geometric shape hexagon-shaped hole in an allen wrench, also known as a hex key, is designed to fit tightly over the hexagonal socket of a screw or bolt head. A hexagon is a six-sided polygon, meaning it has six straight sides and angles. In the case of an allen wrench, the hexagon has internal angles of 120 degrees and opposite sides that are parallel.
The hexagonal shape of the hole in the wrench allows for a tight and secure fit onto the corresponding hexagonal socket of the screw or bolt head. This design ensures that the wrench can apply a significant amount of torque to the fastener without slipping, which is essential for many applications in construction, mechanics, and other industries.
The use of a hexagonal shape also allows for greater precision and control when turning the screw or bolt, making it easier to achieve the desired level of tightness. Overall, the hexagon is an ideal shape for the hole in an allen wrench due to its strength, stability, and precision.
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Which rectangular prism has the greatest volume?
Answer asap!!
Answers
Answer:
b
Step-by-step explanation:
735\
Answer:
the top 1! it's bigger by 2cm length wise
1
Graph the line that has a slope of 1/4
and includes the point (0, 2).
Answers
Answer:
12
Step-by-step explanation:
your question is wrong
Really don’t understand this one
Answers
Answer:
(3,8)
Step-by-step explanation:
First, you need to graph a triangle using the points given.
Then reflect across y = x
R is (3,0) which when reflected across y = x is (0,3)
S is (3,3) which when reflected across y = x is (3,3)
R is (4,0) which when reflected across y = x is (0,4)
the total surface area of each figurefigure iv find surface area and volume
Answers
Given:
In a given figure,
The length of the sides of the triangle is 4, 13, and 15.
The dimensions of one rectangle are 4 by 6.
The dimensions of one rectangle are 13 by 6.
The dimensions of one rectangle are 15 by 6.
To find:
The total surface area and volume.
Explanation:
The total surface area of the figure is,
\(A=2\times Area\text{ of the triangle+Area of the rectangle 1 + Area of the rectangle 2 +Area of the rectangle 3.}\)Using the heron's formula,
\(\begin{gathered} S=\frac{a+b+c}{2} \\ =\frac{4+13+15}{2} \\ =\frac{32}{2} \\ s=16 \end{gathered}\)The area of the triangle will be,
\(\begin{gathered} A=\sqrt{s(s-a)(s-b)(s-c)} \\ A=\sqrt{16(16-4)(16-13)(16-15)} \\ A=24unit^2 \end{gathered}\)Therefore, the total surface area of the figure becomes,
\(\begin{gathered} TSA=2\times24+4\times6+13\times6+15\times6 \\ TSA=240unit^2 \end{gathered}\)Thus, the total surface area of the figure is 240 square units.
The volume formula is,
\(\begin{gathered} V=\frac{1}{2}lbh \\ V=\frac{1}{2}(6)(15)(3.2)\text{ \lbrack Since, A=}\frac{1}{2}bh\Rightarrow24=\frac{1}{2}(15)h\Rightarrow h=3.2] \\ V=144units^3 \end{gathered}\)Thus, the volume of the figure is 144 cubic units.
Final answer:
• The total surface area of the figure is 240 square units.
,• The volume of the figure is 144 cubic units.
What is the fractional form of 0.8?
a. 8/10
b. 1/8
c. 8/9
d. 8/11
Answers
Answer:
a. 8 / 10
Step-by-step explanation:
0.8 = 8 / 10
Answer:
8/10
Step-by-step explanation:
0.8
The number is in the tenths place
The denominator is 10
8/10
$9, 100 is invested in an account earning
3% interest (APR), compounded quarterly.
Write a function showing the value of the
account after t years, where the annual
growth rate can be found from a constant
in the function. Round all coefficients in
the function to four decimal places. Also,
determine the percentage of growth per
year (APY), to the nearest hundredth of a
percent.
Answers
Answer: A = P(1 + r/n)^(nt)
Where
A is the future value of the account
P is the initial principal amount, which is $9,100
r is the annual interest rate, which is 3%
n is the number of times the interest is compounded per year, which is 4 (quarters)
t is the number of years
So the function for the value of the account after t years is:
A = 9100(1 + 0.03/4)^(4t)
To determine the percentage of growth per year (APY), we can use the formula:
APY = ( (A/P)^(1/t) - 1) * n
In this case,
APY = ( (A/9100)^(1/t) - 1) * 4
APY represents the annual percentage yield, which is the interest rate taking compounding into account.
Please note that in the above expression the coefficient 0.03 is rounded to four decimal places as instructed.
Step-by-step explanation:
Which of the following series can be used to determine the convergence of the series summation from k equals 0 to infinity of a fraction with the square root of quantity k to the eighth power minus k cubed plus 4 times k minus 7 end quantity as the numerator and 5 times the quantity 3 minus 6 times k plus 3 times k to the sixth power end quantity squared as the denominator question mark
Answers
The value we can use in the series is \($\sum_{k=0}^\infty 1/k^8\).
To check the convergence we consider two series as
Series 1: \($\sum_{k=0}^\infty \frac{k^8}{5(3-6k+3k^6)^2}$\)
Series 2: \($\sum_{k=0}^\infty \frac{k^8 + k^3 + 4k}{5(3-6k+3k^6)^2}$\)
We employ the p-test, which indicates that the series converges if the ratio of succeeding entries in a series approaches a number less than 1. The ratio of successive terms for Series 1 approaches 1, indicating that Series 1 diverges.
We can infer that Series 2 also diverges because Series 1, which is smaller than Series 2, likewise diverges.
Thus, the given series also diverges.
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A parent process calling _____ system call will be suspended until children processes terminate. Group of answer choices wait fork exit exec
Answers
A parent process calling the "wait" system call will be suspended until its child processes terminate, ensuring proper synchronization between the parent and child processes.
A parent process calling the "wait" system call will be suspended until children processes terminate.
1. The "wait" system call allows a parent process to wait for its child processes to complete.
2. When the parent process calls "wait", it is suspended until one of its child processes terminates.
3. Once a child process terminates, the parent process resumes execution.
When a parent process creates child processes, it may need to wait for them to finish before proceeding with its own execution. This is where the "wait" system call comes into play. When the parent process calls "wait", it effectively pauses its execution and waits for one of its child processes to terminate.
The "wait" system call is used to synchronize the parent process with its child processes. It allows the parent process to know when a child process has finished its execution. Once a child process terminates, the parent process is notified and resumes its execution from where it left off.
Using the "wait" system call is beneficial in scenarios where the parent process needs to collect information or perform some action after its child processes have completed. Without the "wait" system call, the parent process might continue its execution before the child processes have finished, leading to unexpected results.
In summary, a parent process calling the "wait" system call will be suspended until its child processes terminate, ensuring proper synchronization between the parent and child processes.
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HELP ASAP TIMED
At 5pm, Cindy who is 5ft tall has a shadow that is 6ft long. How long would the shadow of a 6ft tall man be at the same time?
Answers
Answer:
The length of the shadow of a 6ft tall man at 5pm would be approximately 7.2ft.
Step-by-step explanation:
We can use the ratio of the heights to the lengths of the shadows to find the length of the shadow of a 6ft tall man. Here are the steps:
Write the ratio of the height to the length of Cindy's shadow:
5/6
Set up a proportion with the ratio of the height to the length of the shadow for the 6ft tall man:
5/6 = 6/x
Cross-multiply to solve for x:
5x = 36
Divide both sides by 5:
x = 7.2
Therefore, the length of the shadow of a 6ft tall man at 5pm would be approximately 7.2ft.
Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]
Each individual outcome of an experiment is called
a. the sample space.
b. a sample point.
c. a trial.
d. an event.
Answers
Each individual outcome of an experiment is called a sample point.
Sample points represent the observed values of a variable. An experiment is a procedure or action with several results that cannot be predicted with absolute certainty. It is the simplest possible result of an experiment. The collection of all sample points in an experiment is known as sample space. In terms of sample space, sample points imitate the experiment. The sample points may alternatively be referred to as sampling units or observations. Example of sample points: There are two possible results when flipping a coin: head or tail. While there are four possible outcomes when two coins are tossed: Head-Head, Head-Tail, Tail-Head, and Tail-Tail. Each result is referred to as a sample point.
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Please help i need help with this answer please answer i will give brainliest
Answers
Answer:
number 2
Step-by-step explanation:
Mrs. Thakur invested Rs 8000 at an interest rate of 8% per annum. Find the total amount that he will get after 2 years, if the interest is compounded annually.
Answers
Mrs. Thakur will receive Rs 9331.2 after 2 years, with an interest rate of 8% compounded annually.
How to determine the amount after tow yearsTo find the total amount Mrs. Thakur will receive after 2 years,
We need to calculate the compound interest.
The formula for compound interest is: A = P * (1 + r/100)^n
Where A is the final amount, P is the principal (Rs 8000),
r is the interest rate (8%), and n is the number of years (2).
So,
A = 8000 * (1 + 8/100)^2
A = 8000 * (1.08)^2
A = 8000 * 1.1664
A = 9331.2
Therefore, Mrs. Thakur will receive Rs 9331.2 after 2 years
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The length of a rectangle is 3 cm longer than its width. if the perimeter of the rectangle is 46 cm , find its area.
Answers
Answer:
2254
Step-by-step explanation:
I always get stuck on these....
Answers
Hello!
it's 21.9 for me
help me with this and I give you the brainliest asap
Answers
Answer:
1) 34
2) 87
3) 75
4) 85
5) 133
6) 69
7) 59
8) 30
9) 118
Answer:
1. x=34°
2. x= 87°
3. x= 75°
4. x= 85°
5. x= 133°
6. x= 69°
7. x= 59°
8. x= 30°
9. x= 118°
hope it helped!
a bag contains 2 red, 7 black, and 8 white balls. three balls are drawn, without replacement. what is the probability that one of each color is drawn? (enter your probability as a fraction.)
Answers
14/85 is the probability that one of each color is drawn.
How does probability explain work?
How likely something is to occur is known as its probability.We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.Statistics is the study of events subject to probability.Red balls = 2
black balls = 7
white balls = 8
total balls = 2 + 7 + 8 = 17
p( one ball from each color = ²C₁ * ⁷C₁ * ⁸C₁/ ¹⁷C₃
= 2 * 7 * 8//680
= 14/85
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HELP I NEED THIS FOR MY HOMEWORK
Write each function in standard form.
5. y= 5(x - 2)(x + 1)
6. y=2(x + 6)(x + 3)
7. y=-2(x + 4)(x - 5)
8. y=-4(x + 2)(x + 3)
Answers
Answer:
5.y=5x-10+5x+1
y=10x-9
6.y=2x+12+2x+6
y=4x+18
7.y=-2x-8-2x+10
y=-4x+2
8.y=-4x-8-4x-12
y=-8x-20
A rectangular prism has a height of a, a width of b, and a length of c. Which equation represents the total surface area of the rectangular prism in units2?
Answers
The volume of the rectangular prism is 105.57
What is the volume of a rectangular prism?
A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
Where l, h and w represent the length, height and width respectively.
Given that;
Length of the prism is 2 times the width L = 2w
the width is 4 times the height w = 4h
Now let’s plug these values;
the surface area equation, it becomes;
A = 2(2w(w) + w(w/4) + w/4(2w))
A = 2(2w^2 + w^2/4 + w^2/2)
A = 1/2(7w^2)
792 x2 = 7w^2
w = 15.04
The volume of a rectangular prism=Length X Width X Height
V = 2w x w x w/4
V x 2 = w³
V = 15.04³/2
V = 105.57
Thus, the volume is 105.57.
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A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered which of the following? A. Out of range B. A median value C. An outlier D. A mean value
Answers
The answer to your question is: A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered C. An outlier.
A value for a variable that has a z score less than -3.00 or greater than +3.00 may be considered an outlier. This is because an outlier is defined as a data point that is significantly different from other data points in the same sample. In this case, a z score of less than -3.00 or greater than +3.00 indicates that the value is more than three standard deviations away from the mean, which is a rare occurrence. Therefore, it is likely to be an outlier.
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what would be the measure of angle A?
A. 70 degrees
B. 79 degrees
C. 55 degrees
D. 44 degrees
Answers
Answer:
D because that is the smallest angle on there baby doll
Step-by-step explanation:
have a nice day sugar bear
Answer:
D
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
4x + 8x - 9 + 57 = 180, that is
12x + 48 = 180 ( subtract 48 from both sides )
12x = 132 ( divide both sides by 12 )
x = 11
Thus
∠ A = 4x = 4 × 11 = 44° → D
Can anyone please please help me out with this ):
Answers
Or
(3.333333333)
What value of x makes the perimeters of the figures below equal? (see imagine attached) :)
Answers
The value of x that makes the perimeters of the figures equal is; x = 3.
What is the Perimeter of a Figure?To find the perimeter of a figure, add all its side together. That is, the sum of all its sides will give you the perimeter.
Perimeter of the triangle = (x + 6) + 5x + (3x + 3)
Open the bracket and simplify
x + 6 + 5x + 3x + 3
Combine like terms
= 9x + 9
Perimeter of the square = 4(x + 6)
= 4(x) + 4(6)
= 4x + 24
Make both equation equal to each other and find x:
9x + 9 = 4x + 24
9x - 4x = -9 + 24
5x = 15
x = 3
The value of x is 3.
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Which expression is equivalent to −2(3x + 5y)?
−6x − 10y
−6x + 5y
5y(3x − 2)
3x(−2 + 5y)
Answers
Answer:
-6x-10y
Step-by-step explanation:
Answer:
-6x - 10y
Step-by-step explanation:
because
-2(3x + 5y) can be broken into
-2 * 3x = -6y
-2 * (+ 5y) = -10y
hence -6x - 10y
note * this symbol means multiply