From the data we conclude that; (c) The sampling minimum appears to be biased estimator since it consistently over estimated the population minimum.
The sampling distribution of the sample minimum is given as 51 points
The number of tests in the sample = 6 tests
The results of the tests are summarized in the dot plot
In order to be an unbiased estimator the sampling distribution for the statistic has to be evenly distributed about the true parameter for the population .
and In this question , the true parameter for the population is that the sample minimum of the population is 99 points .
So , From sampling distribution of sample Minimum it is clear that distribution of sample maximum is unevenly distributed.
Hence , it is not an unbiased estimator that means it is an biased estimator which is overestimating the population minimum .
Therefore , the correct option is (c) .
-- The given question is incomplete , the complete question is
"Silas was curious if sample minimum was an unbiased estimator of population minimum. He started with a large normally distributed population of test scores whose minimum was 51 points. He then took a random sample of 6 tests and calculated the minimum of the sample. He replaced those tests and repeated this process for a total of 40 trials. His results are summarized in the dot plot , where each dot represents the minimum score from a sample of 6 tests.
50 , 70 , 75 , 55 , 60 , 65
(a) Sample minimum appears to be an unbiased estimator for the population minimum.
(b) Sample minimum appears to be an biased estimator since it consistently under estimates the population minimum.
(c) Sample minimum appears to be an biased estimator since it consistently over estimates the population minimum." --
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The actual voltages of power packs labeled as 12 volts are as follows: 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77.
Referring to Table 1 a confidence interval for this sample would be based on the t distribution with __________ degrees of freedom.
Referring to Table 1, the critical value for a 99% confidence interval for this sample is __________.
Referring to Table 1, a 99% confidence interval for the mean voltage of the power packs is from __________ to __________.
For this sample, a confidence interval based on the t distribution with 95% degrees of freedom would be appropriate.
Confidence interval: What is it?In most research, the 95% confidence interval (95 CI) is reported. If the confidence interval (e.g., 95%CI 0.9-1.1) crosses 1, it is assumed that there is no difference between the research arms.
In the two-tailed t table, determine the critical value of t. Add s/n to the crucial value of t. Calculate the top limit of the confidence interval by adding this value to the mean, and the lower limit by deducting this value from the mean.
With a significance level of 0.05 (i.e., a confidence level of 95%), the confidence interval is calculated using the T function.
The critical value for a 99% confidence interval for this sample, according to Table 1, is 2.576.
The t distribution is a symmetric distribution with a peak in the middle that gets closer to the horizontal axis as it moves away from the centre.
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Let E be the event that a corn crop has an infestation of ear worms, and let B be the event that a corn crop has an infestation of corn borers. Suppose that P(E) = 0.24, P(B) = 0.16, and P(E and B) = 0.13. Find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both.0.530.130.60.27
The probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both is 0.27.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
We have to find the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both.
Since,
P(E or B) = P(E) + P(B) - P(E and B)
Given,
P(E) = 0.24
P(B) = 0.16
P(E and B) = 0.13
Hence,
P(E or B) = 0.24 + 0.16 - 013
P(E or B) = 0.27
Option D is correct.
Hence, the probability that a corn crop has either an ear worm infestation, a corn borer infestation, or both is 0.27.
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Mathematics department is holding an election for department chair… rest of question is below.
Answer:
Step-by-step explanation:
Your question
Ticket sales for Six Flags White Water totaled $94,520 this summer. Tickets for the water park cost $17 each. How many tickets were sold?
The number of tickets that will be sold is 5,560.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
Ticket sales for Six Flags White Water totaled $94,520 this summer.
Tickets for the water park cost $17 each.
The number of tickets that will be sold is = $94,520/17 = 5,560.
Hence the number of tickets that will be sold is 5,560.
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Solve the proportion. What is n?
Answer:
n=20
Step-by-step explanation:
Is 1 is a root of f/x Which of the following must be true?
According to Polynomial System, the correct answer is that the roots of f(x) are (x+1).
A polynomial system (sometimes just a polynomial system) is a set of simultaneous equations f₁ = 0,..., fₙ = 0. where fi is a polynomial in multiple variables such as x₁,..., xₙ over the fields. k.
This is due to the zero product property that when two binomials are multiplied by 0, one of their factors must be 0.
A simple example of a system of polynomial equations is
x²+y²- 5 = 0
xy-2 = 0.
Its solutions are the four pairs (x, y) = (1, 2), (2, 1), (-1, -2), (-2, -1). These solutions are easily verified by substitution, but proving that there are no other solutions requires more work.
Based on above description, we can say that:
(x+1) must be 0.
(x+1)=0
x=-1
Thus, If (x-1)=0 then x is 1 instead of -1 in question.
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Alice makes porridge from milk and oats.
The ratio of milk to oats is 1:2
What proportion of Alice's porridge is milk?
Anyone can help ASAP
Answer:
1 milk and 2 oats
Step-by-step explanation:
milk to oats show that milk is first followed by oats and since 1 is first it is 1 milk and 2 oats
You and your friends order a meal for $149.58. How much should you leave (including tip) if you want to leave an 18% tip?
The total amount that should be left including 18% tip is $176.5
What is percentage?
A figure or ratio stated as a fraction of 100 is called a percentage. Frequently, it is indicated with the percent sign, "%". A % is a number without dimensions and without a standard measurement.
We are given that you and your friend ordered a meal worth of $149.58
Now also we want to leave a tip of 18% of the total amount.
Hence the total amount that should be left is needed to be calculated
To do that we first calculate the 18% of the total amount then add it to the original amount
18% of the total value is
[tex]149.58*\frac{18}{100}\\ =26.92[/tex]
This is the value of tip that needed to be given
Now we add this to the original price
We get
149.58+26.92
=176.50
The total amount that needs to be paid with tip is $176.5
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Julia get on the bus at 8:17am. She rides 22 minutes to downtown. When she arrives, she walks 3 minutes to the pet store and then spends 26 minutes in there. Julia leaves and Walk 2 minutes to the dry cleaner. She spends 8 minutes at the dry cleaner picking up her clothes. After the dry cleaner, she waits for bus for 6 minutes. On the bus, she rides for 12 minutes before getting off in another neighborhood. Julia walks from the bus stop for 3 minutes to the café where she spends 3 hours on the line, eating, and doing work on her laptop. She walk 3 minutes back to the bus stop where Julia waits 13 minutes for the bus. She ride the bus for 34 minutes back to her original bus stop, and then walks for 15 minutes to her apartment.
What time is it when she walks in her front door?
Answer:01:44 PM
Step-by-step explanation: Hope this helps!
Solve for BC: A B C 3x-6 2x+3 triangle
The length of the side BC is 21 units.
Option (C) is correct.
What is an equilateral triangle?
In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. The sides of an equilateral triangle are congruent, which means that all sides are of equal length. All the interior angles are equal(60 degrees) too.
The property of an equilateral triangle says that "All sides are equal in lengths".
So by using the above property, we can make the equation as
3x - 6 = 2x + 3
This simplifies to:
3x = 2x + 9
Then, you can subtract 2x from both sides to get rid of the 2x on the left-hand side:
3x - 2x = 2x + 9 - 2x
This simplifies to:
x = 9
Now find BC as
BC = 2x + 3
= 2(9) + 3
= 21
Hence, the length of the side BC is 21 units.
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Which function is represented in this graph?
y= cos x
y = arccos x
y = arcsin x
y = tan x
The function that is represented on the given graph is;
y = arccos x
How to Interpret Trigonometric graphs?
We know in trigonometry that sine and cosine are expressed as;
cos 0 = 1
cos (π/2) = 0
cos π = -1
cos (π/4) = 0.7071
sin 0 = 0
sin (π/2) = 1
sin π = 0
sin (π/4) = 0.7071
Looking at the graph attached, we see that when x = 1, y = 0 and from earlier we saw that cos 0 = 1.
Similarly, on the graph, when x = 0, y = π/2 which fits with cos (π/2) = 0. Thus, it is clear that the graph is the inverse of cosine which is arc cos x
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Over the last 50 years the population has doubled. Today the world population is 7 billion people. What is the average rate of change of the worlds population?
Answer:
70000000 (70 million people per year)------------------------------------
Average rate of change for this case is:
r = difference in the population / time ranger = (7 000000000 - 3 500000000)/50 = 7000000075 students are currently infected with a respiratory virus that is spreading through a population of college students. the number of infected students is modeled by f(t)
The number of infected students after 5 days = 694
The number of infected students with respiratory virus is modeled by an exponential function f(t) = 25000 /1+332e^(-0.45t) where time t, is measured in days.
We need to find the number of students infected with the virus after 5 days.
For t = 5,
f(5) = 25000 /1+332e^(-0.45 * 5)
f(5) = 25000 /(1+332*0.1054)
f(5) = 25000 /35.9928
f(5) = 694.58
f(5) ≈ 694
Therefore, the number of students infected with the virus after 5 days = 694
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The complete question is:
75 students are currently infected with respiratory virus- that is spreading through a population of college students_ The number of infected students is modeled by f(t) = 25000 /1+332e^(-0.45t) where time; t, is measured in days. How many students are predicted to be infected with the virus after 5 days? Round your answer to the nearest whole number.
4. Are these two functions inverses of each other?
g(x)=1/4 x
f(x)= 4x
Answer:
Yes
Step-by-step explanation:
g(x) = 1/4 x
g(x) = x/4
f(x) = 4x
If you plugin f(x) in g(x) and g(x) into f(x), you should get x:
f(g(x))=
4(g(x)= => plugin g(x) for x in f(x)
4(x/4)=
4*x/4=x √
g(f(x))=
f(x)/4= ==> plugin f(x) for x in g(x)
4x/4 = x√
Hence, f(x) and g(x) are inverse of each other.
Which overlapping triangles are congruent by AAS?
A. ΔADC = ΔEBC
B. ΔABE = ΔCDA
C. ΔΑΒΕ = ΔDEA
D. ΔΑDC = ΔEDA
By Angle-Angle-Side (AAS) triangle congruence theorem we know that two triangles are congruent if they have two sets of congruent angles and a set of non-included congruent sides.
Since no figure is given in the question we employ the reflexive characteristic to demonstrate that the overlapping sections are congruent in order to demonstrate that overlapping triangles are congruent.
If two triangles are precisely the same size and shape—that is, if they have the same side lengths and angle measurements—they are said to be congruent. If we are aware that two triangles have all the same sides and angles, we can conclude that the triangles are congruent.
To demonstrate that two triangles are congruent, however, we don't necessarily need to know that all of their sides and angles are congruent.
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A baker sells boxes of cookies for $5 each. She has a total of 20 boxes of cookies to sell, and each box contains 12 cookies. The bakers total sales, in dollars, is a function of the number of boxes of cookies she sells, as shown by the
graph below
The baker's total sales is a function of the number of boxes of cookies she sells will be y = 5x.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
A pastry specialist sells boxes of treats for $5 each. She has a sum of 20 boxes of treats to sell, and each crate contains 12 treats.
Let 'x' be the number of boxes of cookies and 'y' be the total cost. Then the equation is given as,
y = 5x
The baker's total sales is a function of the number of boxes of cookies she sells will be y = 5x.
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an = r·(an-1)
determine the recrusive function to model the geometric sequence.
24, 6, 1.5
show work
On solving the provided question, we got to know that - recursive function to model the geometric sequence is 0.25
What is recursive function?In order to create a sequence of terms, a recursive function either repeats itself or uses a previous term to compute a new term. An arithmetic-geometric series with terms that differ from each other frequently is used to explain this function.
Given, geometric sequence
24, 6, 1.5
First term of this sequence = 6
a1 = 6
Recursive formula geometric sequence
[tex]a_{n} = a_{(n-1)}r[/tex]
[tex]Here r = common. ratio .of .successive. and previous term\\From .the given .sequence\\[/tex]
r = a2/a1
r = 6/24
r = 0.25
[tex]Recursive formula of the given sequence will be,[/tex]
[tex]a_{n} = a_{(n-1)}(0.25)[/tex]
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Find the sum of 4.06 × 1019 and 5.034 × 1017.
4.11034 × 1019
9.094 × 1019
4.11034 × 1036
9.094 × 1036
Answer:
Find the sum of 4.06 x 1019 and 5.034 x 1017, it equals to 9256.718
4.11034 x 1019 = 4188.43646
9.094 × 1019 = 9266.786
4.11034 x 1036 = 4258.31224
9.094 × 1036 = 9421.384
Step-by-step explanation:
4137.14 + 5119.578 = 9256.718
If 60% of the population supports massive federal budget cuts, what is the probability in that a survey of 250 people ,at most 155 people support such cuts
Probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Given:
If 60% of the population supports massive federal budget cuts.
We have to find the probability in that a survey of 250 people, at most 155 people support such cuts.
So, the probability is, 155 / 250 = 0.62
Hence, probability in that a survey of 250 people ,at most 155 people support such cuts is 0.62.
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Simplify the expression.
fraction with negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 as the denominator
ten fourths
negative ten fourths
8
−8
The simplified form of the given expression as required in the task content is; 8.
What is the simplified form of the expression as described?It follows from the task content that the simplified form of the given expression; -4 ( 2 - (³√8 × 6) ) / 5 is to be determined.
Therefore, By solving the innermost parentheses; we have;
-4 ( 2 - (2 × 6) ) / 5
= -4 ( 2 - 12 ) / 5
= -4 ( -10 ) / 5
= 40 / 5
= 8.
Therefore, the simplified form of the expression is; 8.
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Show the solution and answer
(3x + 5)(x - 9)
Solve for h when they are similar triangles and 2 sides are given
The value of h is 70/17 if they are similar triangles and two sides are given in the figure.
What is a triangle?Three edges and three vertices make up a triangle, which is a polygon.
In Euclidean geometry, any three points that are not collinear identify a distinct triangle and a distinct plane at the same time (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and that triangle is contained in just one plane. All triangles are enclosed in a single plane if all of geometry is the Euclidean plane, however in higher-dimensional Euclidean spaces, this is no longer the case. Except as specifically stated, this article is about triangles in the Euclidean plane and general Euclidean geometry.
Given,
The figure has two similar triangles.
Here in the question the two sides are given,
We have the condition,
1/AB +1/PC=1/MN
From the figure,
(1/7)+(1/10)=(1/h)
17/70=1/h
h=70/17
Therefore, the value of h is 70/17 if they are similar triangles and two sides are given in the figure.
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Write the equation in standard form.
2y+3=−1/3(x−2)
The given equation can be written in standard form as x + 6y + 11 = 0.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
The given equation is 2y + 3 = −1/3 (x − 2).
It can be written in the standard form of ax + by + c = 0 as follows,
2y + 3 = −1/3 (x − 2)
=> 3(2y + 3) = -1(x − 2)
=> 6y + 9 = 2 - x
=> 6y + x + 9 + 2 = 0
=> x + 6y + 11 = 0
Hence, the standard form of the given equation is x + 6y + 11 = 0.
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Find the volume of a right circular cone that has a height of 4.5 ft and a base with a diameter of 19 ft.
Answer:135.375[tex]\pi[/tex] ft³
Step-by-step explanation:
The formula for the volume of a right circular cone is [tex]\frac{1}{3}[/tex][tex]\pi[/tex]r²h.
We are given height, and we can find r by dividing diameter by 2, which is 9.5 ft.
Plugging these values into the equation give us [tex]\frac{1}{3} \pi (9.5)^{2} (4.5)[/tex].
This equation equals 135.375[tex]\pi[/tex] ft³
97 patients spent time with therapy dogs, and 101
patients did not. What percent of the total patients spent time
with a therapy dog, rounded to the nearest percent? Record
your work and answer on our Numbers in the News answer
sheet.
Answer:
94%
Step-by-step explanation:
Select all of the following statements that are true four years from now, in the year 2025.
Select : 2
Submit Answer
The Thrift segment will demand 7,741 thousand units
The Core segment will demand 9,771 thousand units
The Nano segment will demand 5,403 thousand units
The Elite segment will demand 5,869 thousand units
The Thrift segment will demand 7,741 thousand units and the Core segment will demand 9,771 thousand units true from the following statements.
The options that are true from the following statements will be:
The Thrift segment will demand 7,741 thousand units
The Core segment will demand 9,771 thousand units
Based on the complete information options that are given, it can be inferred that the growth rate for the companies was given.
Growth rate simply means the percentage change of assets or investments for a particular period. From the table, it can be inferred that the thrift segment will demand 7,741 thousand units while the core segment will demand 9,771 thousand units.
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Find all the zeroes of the function
y=x^4-7x^2+12
show your work
x=-[tex]\sqrt{3}[/tex] ,[tex]\sqrt{3}[/tex],-2,2
What is a quadratic equation ?
Quadratics can be defined as a polynomial equation of a second degree, which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is:
ax² + bx + c = 0
Given:
y=[tex]x^{4} -7x^{2} +12[/tex]
Let [tex]x^{2}[/tex] = k
So , y = [tex]k^{2}[/tex] -7k+12
On simplifying/factorising the given equation ,we get
y = [tex]k^{2}[/tex] - 4k - 3k +12
On taking common ,we get
y = k(k-4) -3(k-4)
y =(k-3)(k-4)
Thus , on factorising and equating it to zero we get
(k-3)=0 or (k-4)=0
k=3 or k=4
Now , replacing k by [tex]x^{2}[/tex] ,we get
[tex]x^{2}[/tex] = 3 or [tex]x^{2}[/tex] = 4
Further on solving ,we get
( [tex]x^{2}[/tex]-3)=0 or ( [tex]x^{2}[/tex]-4)=0
(x-[tex]\sqrt{3}[/tex])(x+ [tex]\sqrt{3}[/tex]) =0 or (x+2)(x-2)=0
x=-[tex]\sqrt{3}[/tex] ,[tex]\sqrt{3}[/tex] or x= -2,2
Thus , x=-[tex]\sqrt{3}[/tex] ,[tex]\sqrt{3}[/tex],-2,2
Hence ,the obtained values of y are the zeros of x .
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The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $944/person/day if exactly 20 people sign up for the cruise. However, if more than 20 people sign up (up to the maximum capacity of 100) for the cruise, then each fare is reduced by $8 for each additional passenger. Assuming at least 20 people sign up for the cruise, determine how many passengers will result in the maximum revenue for the owner of the yacht? What is the maximum revenue?
69 Passengers (20 plus additional 49) will result in maximum revenue for the owner of the yacht. Maximum Revenue will be $38,088.
current: 20 passengers at $944 each
let the number of additional passengers be x
cost per passenger = 944 - 8x
revenue (R) = (20+x)(944-8x)
= 18880 - 160x + 944x -8 x^2
dR/dx = -160 + 944 - 16x = 0 for a max of R
16x = 784
x = 49
There should be an additional 49 or a total of 69 passengers
The cost per passenger would be 944-8(49) or $552 per day
Maximum revenue for the yacht:
revenue (R) = (20+x)(944-8x)
revenue (R) = (20+49)(944-8(49))
revenue (R) = (69)(944-392)
revenue (R) = $38,088
Hence , 69 Passengers (20 plus additional 49) will result in maximum revenue for the owner of the yacht. Maximum Revenue will be $38,088.
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a popular brand of pen is available in 5 colors and 4 writing tips. how many different choices of pens do you have with this brand?
If a popular brand of pen is available in 5 colors and 4 writing tips. The number of different choices of pens do you have with this brand is: 20 choices.
How to find the number of different choices of pen?Using this formula to find the number of different choices of pen
Number of different choices of pen = Number of color × Number of writing tips
Where:
Number of color = 5
Number of writing tips = 4
Let plug in the formula
Number of different choices of pen = 5 × 4
Number of different choices of pen = 20 choices
Therefore the number of different choices of pen is 20 choices.
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This is so confusing could anyone help me with this
Answer:
I am not exactly sure what they want you to put in the boxes, but hopefully the explanation below will shed some light on what is going on with this problem.
Step-by-step explanation:
The equation would be
y = 3x
It looks like your question wants you to write the equation in the form
r(x) = 3x
y would be the student's score on the test.
x would be the number of questions that the student got right.
The x is the independent variable. It tells us how many questions the student got right.
The y is the dependent variable. It is the student's score. The student's score depends on how many questions the student got right.
R(25) is saying what would be the score if the student got 25 answer correct?
3(25) = 75. The student would get a score of 75
