Answer:
a)
The margin of error is of 0.33 years.
b)
The margin of error is of 0.67 years.
c)
INCREASES
Step-by-step explanation:
In this question, we have that:
Sample of 109 means that [tex]n = 109[/tex]
The standard deviation of time with the company for all general managers is 2.7 years, which means that [tex]\sigma = 2.7[/tex]
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.8}{2} = 0.1[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.1= 0.9[/tex], so Z = 1.28.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
So
[tex]M = 1.28\frac{2.7}{\sqrt{109}} = 0.33[/tex]
The margin of error is of 0.33 years.
Question b:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005= 0.995[/tex], so Z = 2.575. So
[tex]M = 2.575\frac{2.7}{\sqrt{109}} = 0.67[/tex]
The margin of error is of 0.67 years.
(c) In general, increasing the confidence level the margin of error (width) of the confidence interval.
We have that:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
That is, M and z are direct proportional, and since z increases when the confidence level increases, the marign of error will increase. So the answer is INCREASES.
Using the following list of data, which statement is true?
Answer:
Range>Mean
Step-by-step explanation:
Range: find the largest(100) subtract lowest(50)=50
Mean: add all the numbers (790), then divide how many numbers there are(10)= 79
50>79
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Given parallelogram ABCD Find the area
Answer:
Area = ab sinx
Area = (8)(18) sin32
Area = 144 sin32
Area = 79.41
How many solutions are on this graph?
Answer:
There are three intersections on the graph, therefore there are three solutions to the system
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
the 3 places the lines cross are solutions
In the construction of bridges, engineers use a formula to help
determine the allowable stress on a bridge rocker, a component of the
bridge that handles the stress and weight placed on the pavement of the
bridge. The engineers use the formula F =11/300d (F − 13), where F is the
strength of the steel in kilopound per square inch and d is the diameter
of the rocker in millimeters.
Solve the formula F =11/300d (F − 13) for d.
From the engineers formula given, making d the subject of the formula gives us; d = 300F/(11(F - 13))
How to change the subject of the formula?
We are given the engineers formula as;
F = (¹¹/₃₀₀)d(F - 13)
Where;
F is the strength of the steel in kilopound per square inch.
d is the diameter of the rocker in millimeters.
From the given formula, we can start by;
Multiply both sides by 300 to get;
300F = 11d(F - 13)
Divide both sides by 11(F - 13) to get;
d = 300F/(11(F - 13))
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50 POINTS Answer the following questions and draw a rough sketch of the function:
f(x)=-x^4+8x^3+8x^2-96x-144
What is the function’s general shape?
Does the function face up or down?
What is the function’s y-intercept?
If one of the factors is (−6), how would you show that on the graph?
The function's general shape is a downward-opening parabola.
The function faces down The function's y-intercept is -144x - 6 is a factorWhat is the function’s general shape?
From the question, we have the following parameters that can be used in our computation:
f(x)=-x^4+8x^3+8x^2-96x-144
Express properly
So, we have
f(x) = -x⁴ + 8x³ +8x² - 96x - 144
Next, we plot the graph (see attachment)
From the attached graph, we can see that the function opens down
This means that the general shape is a downward-opening parabola.
Does the function face up or down?The function faces down (as shown on the graph)
What is the function’s y-intercept?Here, we set x = 0
So, we have
f(0) = -(0)⁴ + 8(0)³ + 8(0)² - 96(0) - 144
Evaluate
f(0) = -144
So, the y-intercept is -144
How to show that one of the factors is (x - 6) on the graph?We start by setting the factor to 0
So, we have
x - 6 = 0
Solve for x
x = 6
From the graph;
When x = 6, y = 0
This means that x - 6 is a factor
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Complete table with the Y-values for the equation y=ײ+1
The complete table of values of the function is
x 0 1 2 3
y 0 2 5 10
How to complete the table of values of the function?From the question, we have the following parameters that can be used in our computation:
The equation of the function is given as
y = x² + 1
The above function is a quadratic function
This is so because it has the following representation
y = ax² + bx + c
When this function is compared to the equation y = x² + 1, we have the following notations
a = 1
b = 0
c = 1
From the incomplete table of values, we have the x values to be
x = 1, 2, 3
Substitute x = 1, 2, 3 in the equation y = x² + 1
So, we have
When x = 1, y = (1)² + 1 = 2
When x = 2, y = (2)² + 1 = 5
When x = 3, y = (3)² + 1 = 10
When these values are represented on a table, we have
x 0 1 2 3
y 0 2 5 10
The above represents the complete table
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Complete question
Complete table with the Y-values for the equation y=ײ+1
x 0 1 2 3
y 0
To make a solution for an experiment, Gunther needs to add 40 g of a solute to 100 g of water. When making the
solution at room temperature, he could only add 34 grams before the solute settled out.
What could he do to dissolve the remaining 6 grams of the solute?
Put the solution in an ice bath, dissolve the solute, and let the solution return to room temperature.
O Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled out.
O Add more water, boil the solution, and dissolve the solute until the some of the water evaporates.
O Keep the solution at room temperature, add more water, and dissolve the excess solute.
Answer:
Heat the solution, dissolve the solute, and let the solution cool verifying nothing settled....(B)
Step-by-step explanation:
hope this helps
Gunther could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
Solubility of a substance refers to the amount of the substance that dissolves in a given amount of water. The most important factor that affects solubility is the temperature of the system. When the temperature is increased, more solute can be dissolved in the solvent.
Since Gunther needs to add 40 g of a solute to 100 g of water but only 34 grams were added before the solute settled out at room temperature. He could dissolve the remaining 6g by heating the solution to dissolve the solute, and let the solution cool verifying nothing settled out.
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find the square root of 3.6 upto 2 decimal places
What happens when you combine -3x+2x
Which graph represents the solution to 1/7 m < - 1/22
The graph representing the solution will be of the form a line tending towards left from the point -7/22.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Here the given inequality is less than inequality.
1/7 m < -1/22
Dividing both sides by 1/7, we get,
m < -1/22 ÷ 1/7
m < -1/22 × 7/1
m < -7/22
Hence the graph of the solution will be of the form a straight line tending leftwards from -7/22.
Hence the graph of the given inequality is a straight line tending leftwards from -7/22.
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Question: 33 of 39 Lesson 17
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
tan θ = 0.7536
Hypotenuse = 29 miles
Opposite side = ?
Choice 'A' opp = 13.7 miles
Choice 'B' opp = 15.2 miles
Choice 'C' opp = 12.4 miles
Choice 'D' opp = 17.5 miles
Answer:
17.5 miles
Step-by-step explanation:
right!!
PLS HELP!!!!!
1.4(3x+0.5)=1/3(6x+2.7)
I WILL GIVE BRAINLIEST
NOT ACCEPTING LINKS
Answer:
x= 1/11
hope this helps someway
Can y’all help me on question 15?!
Answer:
J = 33
Step-by-step explanation:
43 - 2k = 33
43 - 10 = 33
33 = 33
What are the coordinates of the image rectangle for a scale factor of 3 if the center of dilation is the origin?
This doesn’t have a rectangle picture btw
I will mark brainlist
Answer: Choice B)
Explanation:
You mentioned there isn't a diagram to go with this, but I'm assuming that this problem is referring to a previous problem you posted. In that problem, it mentions that point W is at (1,-2). If we apply the scale factor 3, then we're tripling each coordinate. That means x = 1 becomes x = 3, and y = -2 becomes y = -6
We can write it like this:
(1,-2) ---> 3*(1, -2) = (3*1, 3*(-2) ) = (3, -6)
Only choice B has W'(3,-6) so this is likely the final answer.
If we apply this dilation to every point, then that effectively makes quadrilateral W'X'Y'Z' to be three times longer and taller than compared to quadrilateral WXYZ. In other words, its side lengths are 3 times longer.
If a < b, c > b, d > c, and c < e < d, order the letters from least to greatest
The order of a,b,c,d,e from least to greatest is a<b<c<e<d.
What is order of numbers?Order is basically a series which contains a particular operation like addition, subtraction, multiplication,division and size of numbers may be from greater to least and least to greater numbers.
How to arrange a order?We have been given a<b,c>b,d>c, and c<e<d and we have to order the letter from least to greatest.
a is greater than b, c is greater than b so a is also lesser than c. So,a<b<c will be order of a,b and c. Now we include d in the order. because c is greater than a and b but less than d so the order increases as under:
a<b<c<d. e lies between c and d so we will write e in between c and d in order. Final order will be a<b<c<e<d.
Hence the order of a,b,c,d,e from least to greatest is a<b<c<d<e.
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Q:write the equation of the line that is given slope an y-intercept?
Slope=Undefined y-intercept= -4
[tex]y = mx + b[/tex]
Answer:
y = mx - 4
Step-by-step explanation:
m is the slope, while -4 is the y intercept
A fitness center is interested in the average amount of time a client exercises in the center each week.
Match the vocabulary word with its corresponding example.
The average amount of exercise time for the 45 clients from the fitness center who
participated in the study
The average amount of time that all clients from the fitness center exercise
All 45 exercise times there were recorded from the participants in the study
All clients at the fitness center
The amount of time that any given client from the fitness center exercises
b The 45 clients from the fitness center who participated in the study
d
a
c
a. Data
b. Sample
c. Population
d. Variable
e. Statistic
f. Parameter
Textbook Pages
Study data: The 45 exercise sessions from study participants were all recorded.
What is meant by data of study?Study Data includes all information created, obtained, or acquired during the conduct of the Study, including Samples 1 through 3 including databases, documents, reports, and other material.
Any information that has been gathered, noticed, produced, or made specifically to support initial study conclusions is referred to as research data. Research data can also be found in non-digital media like diary and lab notebooks, despite being mostly digital.
A. Study data: The 45 exercise sessions from study participants were all recorded.
B. Study parameter: The average weekly exercise time for all participants.
C. Study variable: The length of time that each individual fitness facility patron exercises.
D. Study participants: all patrons of the fitness club.
E. The 45 gym patrons who took part in the survey made up the study's sample.
F. Statistics of the study: The average amount of time that a sample of clients exercises in one week
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Name the image of p (9, 1.5) after being translated along the vector <3, -0.5>
The image for P(9, 1.5) after Translation is P'( 12, 1).
What is Translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.
For example, this transformation moves the parallelogram to the right 5 units and up 3 units. It is written ( x , y ) → ( x + 5 , y + 3 ) .
Given:
P(9, 1.5) with Translating Vector (3, -0.5).
So, Applying the Translation we get
P(9 + 3, 1.5 + (-0.5))
= P(12 , 1.5- 0.5)
= P(12, 1)
hence, the image is P'( 12, 1).
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A data set is made up of the values 5, 6, 9, 12, and 18.
The table shows the distance between each value and the mean of 10.
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the trinomials with their factors.
a2 + a − 20
a2 − 9a + 20
a2 − 8a − 20
a2 − 12a + 20
a2 − 19a − 20
Factors
Trinomials
(a − 4)(a − 5)
arrowRight
(a − 10)(a − 2)
arrowRight
(a − 4)(a + 5)
arrowRight
(a − 10)(a + 2)
arrowRight
Answer:
2with1
4with2
1with3
3wth4
What are the coordinates of D' when the quadrilateral is reflected across the line y = X?
Answer:
[tex]D' = (1,3)[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find D'
From the attachment, we have:
[tex]D = (3,1)[/tex]
When reflected across y = x.
The rule is:
[tex](x,y) \ to (y,x)[/tex]
So, if [tex]D = (3,1)[/tex]
Then:
[tex]D' = (1,3)[/tex]
stock splits will not..
Answer:
Thank you for the points...
Step-by-step explanation:
15 minutes for 5 songs = minutes per song
Answer:
The average minutes per song would be 3.
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NO LINKSSSSS
Using the Binomial distribution,
If n=10 and p=0.3, find P(x=4)
Answer:
P(x=4)
Step-by-step explanation:
0.3(10=4)
what is the question. Wrong question asked.
If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?
Answer:
$300,000
Step-by-step explanation:
To find 8% of 100,000 all you need to do is multiply 100,000 by .08.
100,000 (.08) = 8,000
The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.
8,000 (25) = 200,000
Now add the initial amount to the additional 200,00 that will be paid to the retirement account.
100,000 + 200,000 = 300,000
The answer is $300,000.
In Mrs. Austin's science class, 37.5% of the students have compleated their science project. Of the remaining students, 40% have compleated only half of their science project. If there are 32 students in Mrs. Austin's science class, how many of these students have compleated half of their science project?
well, we know that 37.5% have finished it, that leaves unaccounted for 100% - 37.5% = 62.5%.
now, of those 62.5% fellows only 40% have finished only half of it, how many are those?
well, what's 62.5% of 32? what's 40% of that much?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{62.5\% of 32}}{\left( \cfrac{62.5}{100} \right)32}\implies 20 ~\hfill \stackrel{\textit{40\% of 20}}{\left( \cfrac{40}{100} \right)20}\implies \text{\LARGE 8}[/tex]
One square is shaded. Translate the shaded square 3 units left and 2 units down.
Click on the square to shade it.
A B C
E F G H
J K L M
NO P
Q
help no links u will get BRAINLIEST
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
The correct correct answer is box J
Can someone please help
Pls help me I will mark is your right :)