A certain statistic dˆ is being used to estimate a population parameter d. The expected value of dˆ is not equal to d. What property does dˆ exhibit?.
The correct option for the given problem is the statistic is biased which is (e) option.
What is Central Limit Theorem?The central limit theorem states that in the event that you have a populace with mean μ and standard deviation σ and take adequately enormous irregular examples from the populace with substitution , then, at that point, the conveyance of the example means will be roughly regularly circulated.
According to question:By using above central limit theorem establishes that for a proportion p in a sample of size n.
The expected value is μ = p
The standard error is s = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]
Now, in this problem the expected d value is different from the expected of μ = p.
Thus, the statistic is biased, and the correct option is E.
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Correct question:
A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. What property does d hat exhibit?
A. The sampling distribution of d hat is normal.
B. The sampling distribution of d hat is binomial.
C. The sampling distribution of d hat is uniform.
D. d hat is unbiased.
E. d hat is biased.
Amy ued her firt 2 token at gimmer arcade to play a game of roll and core then he played her favorite game balloon bouncer over and over until he ran out of token balloon bouncer cot 3 toke per game and amyl tart with a bucket of 35 token game token. Which equation can Amy ue to find how many game of balloon bouncer, g, he player?
The Number of Ballon bouncer games played is 11.
What is number ?
A number is a numerical unit of measurement and labelling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. Number words can be used to represent numbers in language.
The expression for the number of ballon bouncer games played at the arcade is : 2 + 3b = 35
Let :
Glimmer arcade, g = $2 per game
Ballon bouncer, b = $3 per game
Total game tokens = 35
Her spending could be represented using the expression :
2 + 3b = 35 ; b = number of ballon bouncer games played
2 + 3b = 35
3b = 35 - 2
3b = 33
b = 33/3
b = 11
Therefore, the Number of Ballon bouncer games played is 11.
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The area A if rectangle is represented by the formula A = lw where l is the length and w is width. The length of the rectangle is 5. What is the equation to that?
Answer:
black and white striped bass
A machine that drills holes for wells drilled to a depth of
72 feet in one day.
At this rate, how many hours will it take until the drill
reaches its final depth of -132 feet?
It takes 43 hours to reach final depth of -132 feet with rate of change 72 feet per day.
How to find rate of change?Depending on the context, several phrases may be used to describe rate of change. For instance, acceleration/deceleration is the rate of change with respect to speed or velocity. The slope of the line of best fit determines the pace of change in statistics and regression modeling. It is the population growth rate. Rate of change is frequently referred to as momentum in the financial markets.
The formula [tex]R=\frac{D}{T}[/tex], or rate of change equals the distance traveled divided by the time required to do so, can be used to approach rate of change problems in general. The term "distance" can be changed to another depending on the context of the issue, such as change in worth or price.
Calculation:Given,
Rate of change=72 feet per day =3 feet per hour.
Final depth=132feet;
Time taken= [tex]\frac{Final}{Rate}=\frac{132}{3} =43hours\\[/tex].
It takes 43 hours to reach final depth of -132 feet with rate of change 72 feet per day.
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Match each system of equations with the number of solutions the system has.
A. y = - (4/3)x + 4.
y = - (4/3)x - 1.
No solution.
B. y = 4x - 5.
y = - 2x + 7.
one solution.
C. 2x + 3y = 8
4x + 6y = 17.
No solution.
D. y = 5x - 15.
y = 5(x - 3).
Infinitely many solutions.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
We'll graph each system of equations, If they intersect at one point they have one solution, if they are parallel to each other they have no solution and if they are coinciding with each other they have infinitely many solutions.
y = - (4/3)x + 4.
y = - (4/3)x - 1.
These are parallel lines no solution.
y = 4x - 5.
y = - 2x + 7.
These lines intersect at (2, 3) one solution.
2x + 3y = 8
4x + 6y = 17.
They are parallel to each other.
y = 5x - 15.
y = 5(x - 3).
These are coinciding lines if we distribute the terms hence infinitely many solutions.
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Example 3. Find each measure.
The values of all the angles are shown:
(A) m∠1: 62° (B) m∠2: 39°
(C) m∠3: 26° (D) m∠4: 45°
(E) m∠5: 55° (F) m∠6: 45°
What are angles?Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry.
Two rays can form angles in the plane where they are positioned.
Angles are also produced when two planes intersect.
These are what are known as dihedral angles.
So, the following values of the angles are:
(A) m∠1:
28 + 90 + ∠1 = 180
118 + ∠1 = 180
∠1 = 180 - 118
∠1 = 62°
(B) m∠2:
51 + 90 + ∠1 = 180
141 + ∠1 = 180
∠1 = 180 - 141
∠2 = 39°
(C) m∠3:
25 + (180-51) + ∠3 = 180
25 + 129 + ∠3 = 180
154 + ∠3 = 180
∠3 = 180 - 154
∠3 = 26°
(D) m∠4:
∠4 + ∠6 + 90 = 180
∠4 + ∠6 = 180 - 90
∠4 + ∠4 = 90 (∠4 and ∠6 are equal: Isosceles triangle)
2∠4 = 90
∠4 = 90/2
∠4 = 45°
(E) m∠5:
35 + 90 + ∠5 = 180
125 + ∠5 = 180
∠5 = 180 - 125
∠5 = 55°
(F) m∠6:
∠4 = ∠6 = 45°
Therefore, the values of all the angles are shown:
(A) m∠1: 62° (B) m∠2: 39°
(C) m∠3: 26° (D) m∠4: 45°
(E) m∠5: 55° (F) m∠6: 45°
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PLEASEE HELP
At a local college, only 60% of students live off campus. Of those who live off campus, 58% of those students get a part-time job. Of those who live on campus, 67% work part-time. The tree diagram shows how the college students are divided into subgroups.
The tree diagram shows college students branching off into two categories, off campus and on campus students. Off campus students branches off into two sub-categories, work part-time and do not work. On campus branches off into two subcategories, work part-time and do not work.
What is the percentage of students who live off campus and do not have a part-time job?
42.6%
34.8%
25.2%
24.3%
The percentage of students who live off campus and do not have a part-time job will be 25.2%. Then the correct option is C.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
At a neighborhood school, just 60% of understudies live off the grounds. Of the people who live off-grounds, 58% of those understudies find a part-time line of work. Of the people who live nearby, 67% work part-time. The tree chart shows how the undergrads are separated into subgroups.
The number of students who live off campus and do not have a part-time job is given as,
⇒ 0.60 x (1 - 0.58) x 100
⇒ 0.252 x 100
⇒ 25.2%
The percentage of students who live off campus and do not have a part-time job will be 25.2%. Then the correct option is C.
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ALL questions are for this situation:
You are standing on a ledge and throw a ball from 10 feet above the ground. The speed the ball leaves your hand is 16 feet per second and the acceleration of gravity is -16 feet per second squared.
1. How many seconds does it take to reach the highest point (vertex)?
It takes 1 second for the ball to reach its highest point.
What is acceleration of gravity?Acceleration of gravity is the acceleration by which earth pulls
objects towards itself. Acceleration is the rate of change of speed.
Given,
The initial velocity of the ball = 16 feet/second
The initial height of the ball = 10 feet
The ball will first travel upward with an initial velocity of 16 feet/second
and the ball will reach a height of x feet from the point of release. After
that the ball will travel a total downward distance of (10+16) = 26 feet.
At highest point, velocity=0.
Applying, v = u + at
0 = 16 + (-16)t
t = 16/16
t = 1 second
Hence, the ball will take 1 second to reach the highest point.
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What is the percent of increase from 25 to 49?
In right the hypotenuse, 117 cm and tan P= 0.51 Calculate
side lengths p and q to the nearest centimetre and all three interior angles to
the nearest degree.
For the given right triangle the measure of the remaining angles are 2.9° and 87.1° and the remaining sides are 5.9 cm and 116.85 cm respectively.
What are trigonometric ratios?The trigonometric ratios are defined for a right angled triangle.
The example of these ratios are sin, cos, tan, cosec, sec and cot.
The trigonometric ratios are useful in determining the heights and distances of the large objects.
Given that,
In a right triangle tan(P) = 0.051
And, hypotenuse = 117 cm.
The given data can be shown in the diagram as follows,
From the diagram it can be written as,
tan(P) = 0.051
=> P = 2.9°
Then, ∠Q = 180° - (90° + 2.9°)
= 87.1°
Now, Sin(P) = p/117
=> Sin(2.9°) = p/117
=> p = 117 × Sin(2.9°)
= 5.9
Similarly, Cos(P) = q/117
=> Cos(2.9°) = q/117
=> q = 117 × Cos(2.9°)
= 116.85
Hence, the measure of the remaining angles are 2.9° and 87.1° and the remaining sides are 5.9 cm and 116.85 cm respectively.
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Gonga's health insurance deductible is $5,500. her medical bills for the year total $50,000. How much will she be required to pay out of pocket on her annual medical bills?
42,500
0
5,500
50,000
Answer:
If Gonga's health insurance deductible is $5,500 and her medical bills for the year total $50,000, she will be required to pay the first $5,500 of her medical bills out of pocket.
Step-by-step explanation:
This means that she will be required to pay a total of $5,500 out of pocket on her annual medical bills. After she has paid this amount, her health insurance will cover the remaining costs of her medical bills up to the limit of her policy.
Answer:
$5,500
Step-by-step explanation:
Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute how many gallons would be in the tub after 3 minutes?
If Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute, 3.375 gallons would be in the tub after 3 minutes.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute.
We have to find gallons that would be in the tub after 3 minutes
We can utilize multiplication for the given task,
2/3 minutes = 3/4 gallons
1 minute = 3/4 × 3/2
1 minute =1.125
3 minutes = 3 × 1.125
3 minutes =3.375 gallons
Thus, if Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute, 3.375 gallons would be in the tub after 3 minutes.
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solve elimination method
3x+2y-15=0
5x-3y -25=0
Answer:
x=5
y=0
Step-by-step explanation:
3x+2y−15=0
5x−3y−25=0
multiply the first equation by 3, and multiply the second equation by 2.
3(3x+2y−15=0)
2(5x−3y−25=0)
becomes:
9x+6y−45=0
10x−6y−50=0
add these equations to eliminate y:
19x−95=0
Then solve 19x−95=0 for x:
19x−95=0
19x−95+95=0+95 (add 95 to both sides)
19x=95
19x
19
=
95
19
(divide both sides by 19)
x=5
now that we've found x let's plug it back in to solve for y.
write down an original equation:
3x+2y−15=0
substitute 5for x in 3x+2y−15=0:
(3)(5)+2y−15=0
2y=0 (simplify both sides of the equation)
2y
2
=
0
2
(divide both sides by 2)
y=0
function rule to find f(3)
Answer:
f(3)=25
Step-by-step explanation:
f(3)=11(3)-8
f(3)=33-8
f(3)=25
Answer:
f(3)=25
Step-by-step explanation:
substitute 3 into the equation for x.
f(3)=11(3)-8
11×3=33 so,
33-8=25
f(3)=25
Four of the interior angles of a pentagon are 2xº.
The fifth angle is xº.
Work out the value of xº.
Answer:
20°
Step-by-step explanation:
2x°+2x°+2x°+2x°+x°=180°
8x°+x°=180°
180°=9x°
Dbs by 9
x°=20°
f(x) = -x²
Find f(-10)
plug in -10 for x in -x^2
-1(-10)^2 =
10^2 = 100
Use a ruler and protractor to make an accurate drawing of the triangle below. Measure length x in your drawing to 1 d.p 40 20
Answer:15
Step-by-step explanation:
The equation, 687.5 = 550(1 + 0.05t), represents the amount of money earned on a simple interest savings account. What does the value 550 represent?
The value 550 represents the initial balance in the account, which means the account started with $550.
The value 550 represents the final balance in the account, which means the account balance ended with $550.
The value 550 represents the final balance in the account, which means the account balance started with $550.
The value 550 represents the amount of interest earned, which means $550 was added to the initial balance.
Answer:
(a) The value 550 represents the initial balance in the account, which means the account started with $550.
Step-by-step explanation:
You want the meaning of 550 in the simple interest expression 687.5 = 550(1 + 0.05t).
Simple interestThe formula for computing the amount A of an account earning simple interest at annual rate r on its initial balance P for t years is ...
A = P(1 +rt)
Comparing this formula to the given equation, we see ...
687.5 = 550(1 +0.05t)
A = 687.5P = 550 . . . . the initial balancer = 0.05The initial balance (starting amount) was 550.
3X-y=7
4X+2Y=3
please explain each step, thank you.
Answer:
x= 1.7
y= -1.9
Step-by-step explanation:
I will be using substitution method
in the first equation i will isolate y
3x-y=7
+y +y
3x=7+y
-7. -7
3x-7=y
now since y is equal to 3x-7 we can put 3x-7 where y is in the second equation
4x+2(3x-7)=3
4x+6x-14=3
combine like terms
10x-14=3
+14 +14
10x=17
/10. /10
x= 1.7
now we fill in x in any equation to find y
i will put it into the first one
3(1.7)-y=7
5.1-y=7
-5.1. -5.1
-y=1.9
/-1. /-1
y= -1.9
hopes this helps please mark brainliest
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)
How to determine the correct representationsFrom the question, we have the following expression that can be used in our computation:
–3(2x – 5) < 5(2 – x)
Divide bot sides of the inequality by -1
So, we have the following representation
3(2x – 5) > -5(2 – x)
Next, we open the brackets
This gives
6x – 15 > -10 + 5x
Hence, the representation is 6x – 15 > -10 + 5x
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Complete question
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
(a) 6x – 15 > -10 + 5x
(b) 6x – 15 < -10 + 5x
(c) 3(2x – 5) > -5(2 – x)
(d) 3(2x – 5) < -5(2 – x)
Hello please solve this with steps
Identify the number of solutions Or zeros of
F(x)=12x-32x^2+40-x^3
Answer:
3 solutions
Step-by-step explanation:
You want to know the number of solutions (zeros) of the cubic function ...
f(x) = -x³ -32x² +12x +40
Cubic functionAny 3rd-degree polynomial function has 3 zeros. (This is the fundamental theorem of algebra.)
Signs of rootsDescartes' rule of signs says the one sign change in the coefficients (--++) means there is one positive real root. On its face, this means there will be 0 or 2 negative real roots.
Values of rootsThe value of f(0) is positive (40), and the value of f(-1) is negative (-3), so there must be two negative real roots. (F(x) is positive for very large negative x, so there must be two x-intercepts for x < 0.)
A graph shows the roots to be irrational. The three real roots are approximately ...
−32.3328769399−0.9582093098981.29108624985__
Additional comment
The "steps" are to find the degree of the polynomial. It is 3, so there are 3 zeros. It is not complicated.
What is more complicated is finding their values. The checks we described above can tell whether there are 1 or 3 real roots. (An odd-degree polynomial always has at least 1 real root.) A graph is helpful for finding whether the roots are real or complex, rational or irrational.
Here, any rational roots must be integer divisors of the constant term, 40. We know the root between 0 and -1 is irrational, so all of them are.
The above root values were obtained by Newton's Method iteration, starting from the approximate values shown on the graph.
an economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in california. he believes that the mean income is $18.6, and the standard deviation is known to be $12.1. how large of a sample would be required in order to estimate the mean per capita income at the 80% level of confidence with an error of at most $0.25? round your answer up to the next integer.
Therefore , large of a sample would be required in order to estimate the mean per capita income will be $3,838.
Test statistics – what are they?You can assess the degree to which the distribution of your data conforms to that predicted underneath the null hypothesis of the statistical test you are just using by utilizing a test statistic. The data distribution, which is determined by the confidence interval and deviation from the central tendency of each observation, represents the frequency of each observation.
Here,
First step is to find z 80% confidence level
At 80% confidence level the z will be:
α/2 = 1 - 80% = 1 - 0.80 = 0.20
α/2= 0.20 / 2 = 0.01
Zα/2= Z0.01= 1.28 from z table
Now let calculate the Sample size using this formula
Sample size = n= [( Z[tex]\alpha[/tex]/2* σ ) / E]^2
Let plug in the formula
n = (1.28*12.1/0.25)^2
n= 3,838.05
n=3,838.(Approximately)
Therefore , large of a sample would be required in order to estimate the mean per capita income will be $3,838.
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In 2012 there were approximately 275 students
Answer:
is there a graph available????
Step-by-step explanation:
Three numbers are in automatic sequence and there sum is 15 if 1,3,9 be added to them respectively they forms geometric sequence find the three numbers.
Answer:
There is no solution to this problem. It is not possible to find three numbers that form an arithmetic sequence and, when 1, 3, and 9 are added to them respectively, form a geometric sequence.
Step-by-step explanation:
To find the three numbers in the arithmetic sequence, let's call the first number in the sequence "a," the second number "a + d," and the third number "a + 2d," where "d" is the common difference between the numbers. The sum of these three numbers is:
a + (a + d) + (a + 2d) = 15
This simplifies to:
3a + 3d = 15
To find the three numbers in the geometric sequence, let's call the first number in the sequence "b," the second number "r * b," and the third number "r^2 * b," where "r" is the common ratio between the numbers. The sum of these three numbers is:
b + (r * b) + (r^2 * b) = 15 + b + (r * b) + (r^2 * b)
This simplifies to:
b(1 + r + r^2) = 15 + b + br + br^2
We are told that if 1, 3, and 9 are added to the three numbers in the arithmetic sequence, we get the three numbers in the geometric sequence. Therefore, we can set up the following system of equations:
3a + 3d = 15
b(1 + r + r^2) = 15 + b + br + br^2
Subtracting b from both sides of the second equation gives:
b(1 + r + r^2) - b = 15 + br + br^2
This simplifies to:
b(r^2 + r - 1) = 15 + br + br^2
Subtracting br and br^2 from both sides gives:
b(r^2 + r - 1) - br - br^2 = 15
This simplifies to:
b(r^2 + r - 1 - r - r^2) = 15
This simplifies to:
b(r - 1)(r + 1) = 15
Dividing both sides by (r - 1)(r + 1) gives:
b = 15 / (r - 1)(r + 1)
We are told that the three numbers in the arithmetic sequence add up to 15, so we can substitute 3a + 3d = 15 into the equation above to solve for "b":
3a + 3d = 15
b = 15 / (r - 1)(r + 1)
Substituting 3a + 3d = 15 into the equation above gives:
b = 15 / (r - 1)(r + 1)
Substituting b = 15 / (r - 1)(r + 1) into the second equation gives:
15 / (r - 1)(r + 1)(1 + r + r^2) = 15 + 15 / (r - 1)(r + 1) + 15 / (r - 1)(r + 1)*r + 15 / (r - 1)(r + 1)*r^2
This simplifies to:
15 / (r - 1)(r + 1)(1 + r + r^2) = 15 + 15r + 15r^2
Multiplying both sides by (r - 1)(r + 1) gives:
15 = 15 + 15r + 15r^2
Subtracting 15 from both sides gives:
0 = 15r + 15r^2
Subtracting 15r^2 from both sides gives:
0 - 15r^2 = 15r
This simplifies to:
-15r^2 = 15r
Dividing both sides by -15 gives:
r^2 = r
Solving for "r" gives:
r = 1 or r = 0
If "r" is equal to 1, then the common ratio between the numbers in the geometric sequence is 1, which means that the three numbers in the geometric sequence are the same. This does not satisfy the condition that the three numbers in the geometric sequence are formed by adding 1, 3, and 9 to the three numbers in the arithmetic sequence, so we can eliminate this solution.
If "r" is equal to 0, then the common ratio between the numbers in the geometric sequence is 0, which means that the three numbers in the geometric sequence are all 0. This does not satisfy the condition that the three numbers in the geometric sequence are formed by adding 1, 3, and 9 to the three numbers in the arithmetic sequence, so we can eliminate this solution as well.
Therefore, there is no solution to this problem. It is not possible to find three numbers that form an arithmetic sequence and, when 1, 3, and 9 are added to them respectively, form a geometric sequence.
Where is Located World of Masha and the Bear?
Answer:
Russia
Step-by-step explanation:
The original language for the show is Russian
The buying and selling rates of U.S. dollar ($) in a day are - Rs 115.25 and Rs 116.5 respectively. How many dollars should be bought and sold to have the profit of $ 10? Find it.
The number of dollars that should be bought and sold to have the profit of $10 is 8.
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this case, the buying and selling rates of U.S. dollar ($) in a day are - Rs 115.25 and Rs 116.5 respectively. Let the dollars bought be illustrated as x.
This will be:
116.5x - 115.25x = 10
1.25x = 10
Divide
x = 10 / 1.25
x = 8
The number is 8.
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Plot the graph of y = 3x -
to x = 3
-2
-1
y-8
-6-
-4
2-
0
--2-
-4
--6-
-8
Submit Answer
1
2 from x = -1
2
3
X
4
Plot only the portion between x of -2 to 3. See the attached graph.
A rectangle is shown on the coordinate plane below
Select all of the transformations that carry the rectangle back onto itself.
a reflection across the line x=32
a reflection across the line y=23x
a clockwise rotation of 360 degrees about the origin
a reflection across the x-axis followed by a reflection across the y-axis
a clockwise rotation of 180 degrees about the point (6,−2), followed by
a translation of 9 units in a negative x-direction
Answer:
Step-by-step explanation:
Looks like the clockwise rotation of 180 degrees about the point (6,−2), followed by a translation of 9 units in a negative x-direction. That is because once it's rotated it will be at x=15 and then if you subtract -9x you will land exactly where you started
There are about 34 million gallon of water in Reervoir A and about 38 million gallon in Reervoir B. During a drought, Reervoir A loe about 0. 8 million gallon per month and Reervoir B loe about 1. 1 million gallon per month. After how many month will the reervoir contain the ame amount of water?
The water levels in reservoirs A and B, which initially had 34 million gallon and 38 million gallon water, respectively, will be equal after 13.3 months.
What is expression?An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. No, a mathematical equation cannot be solved since it lacks the "equal to" sign $(=)$, but it can be simplified. Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Here,
Let the number of months be x.
34-0.8x=38-1.1x
1.1x-0.8x=38-34
0.3x=4
x=40/3
x=13.33 months
After 13.3 months, The reservoir A and reservoir B will have same amount of water when initially they have 34 million gallon water and 38 million gallon water respectively.
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−3.5(8.5+5.5y)=−15.5
Answer: y= -14.25/19.25
Step-by-step explanation:
−3.5(8.5+5.5y)=−15.5 can be write as
-29.75 - 19.25y= -15.5
-19.25y = 14.25
y= -14.25/19.25