The margin of error to the same number of decimal places as the sample standard deviation (12.7), we have:
E ≈ 4.2
The correct answer is option D: 4.2.
To find the margin of error (E) for a 90% confidence interval, we need to use the formula:
[tex]E = Z \times(s / \sqrt{(n)} )[/tex]
Where:
Z is the z-score corresponding to the desired confidence level (90% confidence level corresponds to a z-score of approximately 1.645).
s is the sample standard deviation.
n is the sample size.
In this case, we have n = 25 and s = 12.7.
We can substitute these values into the formula:
E [tex]= 1.645 \times (12.7 / \sqrt{(25)} )[/tex]
Calculating the square root of 25, we have:
E [tex]= 1.645 \times (12.7 / 5)[/tex]
E [tex]= 1.645 \times 2.54[/tex]
E ≈ 4.1793
Rounding the margin of error to the same number of decimal places as the sample standard deviation (12.7), we have:
E ≈ 4.2
Therefore, the correct answer is option D: 4.2.
The margin of error represents the maximum amount by which we expect the sample mean to differ from the true population mean.
In this case, with a 90% confidence level, we can be 90% confident that the true mean driving distance of professional golfers in all PGA tournaments during 2013 falls within the interval (sample mean - margin of error, sample mean + margin of error).
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The length of a rectangle is five more than three time its width. The perimeter of a rectangle is 234. What is the width of the rectangle
Answer:
28 units
Step-by-step explanation:
Given data
Let the width be x
The length is =3x+5
Perimeeter= 234
The expression for the perimeter is
P=2L+2W
Substitute
234= 2*x+2(3x+5)
234= 2x+6x+10
Collect like terms
234= 8x+10
234-10= 8x
224=8x
x= 224/8
x=28
Hence the width is 28 units
what two steps are necessary to put this equation into standard form?
x^2-3 x 27=8 x-3x 2 −3x 27=8x−3
A. Add 3 to both sides and substract 8x from both sides
B. The equation is already in standard from
C. Substract 3 from sides and substract 8x from both sides
D. Add 3 to both sides and add 8x from both sides
The two necessary steps to put this equation into standard form is A) Add 3 to both sides and subtract 8x from both sides.
To put the equation x² - 3x + 27 = 8x - 3 into standard form, the two necessary steps are:
A. Add 3x to both sides: By adding 3 to both sides of the equation, we eliminate the constant term -3 on the right side and move it to the left side.
x² - 3x + 3x + 27 = 8x - 3 + 3x
x² + 27 = 11x
B. Subtract 11x from both sides: By subtracting 8x from both sides of the equation, we eliminate the term 8x on the right side and move it to the left side.
x² + 27 - 11x = 11x - 11x
x² - 11x + 27 = 0
Therefore, the equation in standard form is x² - 11x + 27 = 0. Therefore, the correct answer is option A.
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how do i solve 60=2b+20 also show me how u did ur work please
Answer: b=20
Step-by-step explanation:
First for the equation 60=2b+20
We will subtract 20 from both sides to start isolating b
40=2b
Divide both sides by 2
and you get b=20
Answer:
b = 20
Hope This Helps!
Step-by-step explanation:
60 = 2b + 20
-20 -20
--------------------
40 = 2b
40/2 = 2b/2
20 = b
b = 20
Jessie needs to earn more than $160 every month.
B. Enter the minimum number of hours, to the nearest whole, Jessie would have to work to earn $160 in a month.
Answer:
divide 460/60
Step-by-step explanation:
60 rep one hour and you will find your answer
how many 5-digit passwords can I make out of the English alphabet. lowercase only
Answer:
7,893,600 different combinations
Step-by-step explanation:
Answer:
We have a total.of 26 alphabets in the english language and numbers 0 to 9 will be 10.
Since there are no other limitations, we have to arrange 8 places with the 36 options we have.
It will simply be 36c8.
The answer will be 3,02,60,340.
(450) + (28.75x) = 967.50
solve for x
Answer:
x=18
Step-by-step explanation:
Answer:
x= 18
Step-by-step explanation:
To solve this equation you have to work backwards
Start by dealing with the numbers that we know:
450 + (28.75 × x) = 967.5
-450 -450
28.75x = 967.5
(when a number and a letter in mathematics are next to each other they are multiplying)
Now divide to find the value of x:
967.5 ÷ 28.75 = 18
18 is the value of x
PLz help
how would you represent this situation( Write the equation or inequality.)
On a carnival ride you must be at least 42 inches tall to ride
Answer:
x≥k y for you y≥42 inches tall
Step-by-step explanation:
can i have brainliest if right
2+2x+x2 but x=5 need help
Answer:
22
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
because i said so 2+2+2=6 and x=5 but two x=10
determine whether the following equations are second-order linear differential equations.(a)y'' = −3x(y')2
To determine whether the equation y'' = −3x([tex]y')^2[/tex]is a second-order linear differential equation, we need to examine its form.
A second-order linear differential equation has the general form:
[tex]y'' + p(x)y' + q(x)y = r(x)[/tex]
where y is the dependent variable, x is the independent variable, and p(x), q(x), and r(x) are functions of x.
In the given equation, [tex]y'' = -3x(y')^2,[/tex]we can observe that the dependent variable y only appears in the squared term [tex](y')^2.[/tex]This indicates that the equation is not linear in y or its derivatives. It contains a non-linear term [tex](y')^2[/tex]multiplied by the function -3x.
Therefore, the equation [tex]y'' = -3x(y')^2 i[/tex] is not a second-order linear differential equation.
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Given the data set, calculate the mean
{9, 3, 1, 8, 3, 6}
Please help!!!
Answer:
mean: 5
Step-by-step explanation:
(9 + 3 + 1 + 8 + 3 + 6) / 6 = 5
Find b given that A (-6, 2), B (b, 0), and C (3,-4) are collinear.
Answer:
b = -3.
Step-by-step explanation:
If the 3 points are collinear then:
Slope of AB = Slope of BC and so
(0-2)/(b + 6) = (-4-0)/( 3 - b)
-4(b + 6) = -2(3 - b)
-4b - 24 = -6 + 2b
-24 + 6 = 2b + 4b
6b = -18
b = -3.
Calculate the volume
TRIG HELP NEED TO FIND C IS IT NOT ALT ANGLES?????
[tex]c+20=55\\c=55-20\\c=35[/tex]
Ahmad throws dice find the probability that it is:not a 2
yah it's not probably it's not 2 mmmm
Use the spinner below for each of the following
questions. Place an "x" along the number line to
represent how likely the event is to occur.
How likely is it for the spinner to land on a 5?
please answer ASAP AFAP PLEASE PLEASE ANSWER RIGHT OR I'LL REPORT YOU TO BRAINLY . but on the other hand if you answer correctly I'll just give you brainliest, and go to your profile and thank you and give you a 5 star rating!
Answer:
The answer is B. 4.4 oz.
Step-by-step explanation:
What do we know? We have the 6-pack of 12-ounce bottles and they cost $2.99, we also know that the other bottle 67.6 ounces that also costs $2.99.
Forgot the money, we're just going to be looking at the ounces.
First, we take the 6-pack and multiply by 12 because we want the size as one, rather than seperate. 6 x 12 = 72
The question is asking how many more ounces are you getting if you purchase the 6-pack. In order to do this, we take the 72 ounces that we got and subtract that 67.6 ounces of the other drink. 72 - 67.6 = 4.4
The ounces saved are 4.4 ounces.
2. One of the goals of this lab is to become familiar with different shapes of simple molecules. a. What is the name of the theory used to predict molecular geometries? b. Suppose a molecule consists of a central atom bonded to 2 outer atoms. There are two lone pairs on the central atom. What is the name of the molecular shape of this molecule? c. Suppose a molecule consists of a central atom bonded to 4 outer atoms. There are no lone pairs on the central atom. What is the name of the molecular shape of this molecule?
a. The name of the theory used to predict molecular geometries is the VSEPR (Valence Shell Electron Pair Repulsion) theory.
b. The name of the molecular shape for a molecule consisting of a central atom bonded to 2 outer atoms with two lone pairs on the central atom is "bent" or "angular." This molecular shape is also sometimes referred to as "V-shaped" due to its characteristic angular structure.
c. The name of the molecular shape for a molecule consisting of a central atom bonded to 4 outer atoms with no lone pairs on the central atom is "tetrahedral." This molecular shape is characterized by a central atom at the center with four symmetrically arranged outer atoms, forming a three-dimensional tetrahedron-like structure.
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100 - x2 + 15, cuando x = 9
For the linear operator 2x х T := [ х y on R2, find the matrix representation B'[T]b relative to the ordered bases B' B s={1} -(0) [-1.0]
The matrix [T][tex]\left \{ {{B} \atop {B'}} \right.[/tex] represents the linear operator T with respect to the bases B′ and B.
The matrix representation [tex][T]\left \{ {{B} \atop {B'} \right.[/tex] of the linear operator T relative to the ordered bases B' and B, we need to determine how the basis vectors of B' are transformed under the linear operator T and express them as linear combinations of the basis vectors of B.
B′={1} and B={(0),[−1.0]} we can represent the basis vectors as column matrices
[1][tex]\left \{ {\atop {B'}} \right.[/tex] = [1]
[0][tex]\left \{ \atop {B'}} \right.[/tex] = [tex]\left[\begin{array}{ccc}0\\0\\\end{array}\right][/tex]
[-1.0][tex]\left \{ \atop B' \right.[/tex] = [tex]\left[\begin{array}{ccc}-1\\0\\\end{array}\right][/tex]
Now, we can apply the linear operator T to the basis vectors of B' and express the results in terms of the basis vectors of B.
T([1][tex]\left \{ {\atop {B'}} \right.[/tex] = [1][tex]\left \{ {\atop {B'}} \right.[/tex] = [1] = 1.[0][tex]\left \{ \atop {B'}} \right.[/tex] + 0.[-1.0][tex]\left \{ \atop B' \right.[/tex]
Therefore, we have
[T][tex]\left \{ {{B} \atop {B'}} \right.[/tex] = [tex]\left[\begin{array}{ccc}1&0\\0&0\\\end{array}\right][/tex]
The matrix [T][tex]\left \{ {{B} \atop {B'}} \right.[/tex] represents the linear operator T with respect to the bases B′ and B.
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Please help ASAP I’ll give u brilliant
Answer: I’m sorry I meant B
Step-by-step explanation: 9.6/3=3.2
3.2•8=25.6
Please help me I know it's A but I don't know why.
Answer:
Maybe try explaining that if you narrow it down and simplify the numbers by dividing them by 8 or somewhere around there.
Factor 64u–40.
Write your answer as a product with a whole number greater than 1.
Answer: 8(8u-5)
Step-by-step explanation:
Find a number that goes into both 64 and 40 the GCF of both is 8 so 8 goes on the outside of the new factor 8u-5 because if we distribute back we should arrive at the original equation
8(8u-5)
Bobby purchased a brand new car for $23,000 every year the car depreciates 20%. The function f(x)=23,000 × 0.8^x models this situation. How much will the car be worth after 6 years?
Answer:
that earns 3% interest compounded annually. He ... Is the equation A = 21000(1 – 0.12)'a model of ... (1+0.03)= 1.03 ... The value of a car purchased for $20,000 decreases ... Kathy plans to purchase a car that depreciates. ... B) P= 10,000(0.8) ... YEARS. Wolves d is less than 1! d is more than 11. 1 Growth f(x) = 80(0.1165).
Step-by-step explanation:
Suppose Y varies directly with X and Y equals 10 when X equals -3 what direct variation equation relates XNY what is the value of Y when X equals -1
Answer:
Expression: Y = -10/3 X
Y = 10/3
Step-by-step explanation:
If Y varies directly as X, then;
Y∝X
Y = kX
k is the constant of variation
If Y = 10 and X = -3
10 = -3k
k = -10/3
Substitute k = -10/3 into the expression Y = kX
Y = -10/3 X
This gives the required expression
To get the value of Y when X = -1
Recall that Y = kX
Y = -10/3 (-1)
Y = 10/3
Hence the value of Y is 10/3
Please help me!! No files allowed. I need the answer and an explanation!
Answer:
I belive the answer is 1/324
If the data point is at (3, 10.5) and the prediction equation is y = -6.1x + 12.5, what is the value of the residual for this data point?
Given:
The data point is (3,10.5).
The prediction equation is [tex]y=-6.1x+12.5[/tex].
To find:
The value of the residual for this data point.
Step-by-step explanation:
The data point is (3,10.5). So, the actual value is 10.5 at [tex]x=3[/tex].
Prediction equation is
[tex]y=-6.1x+12.5[/tex]
Putting [tex]x=3[/tex], we get
[tex]y=-6.1(3)+12.5[/tex]
[tex]y=-18.3+12.5[/tex]
[tex]y=-5.8[/tex]
The formula for residual is:
Residual = Actual value - Expected value
[tex]Residual=10.5-(-5.8)[/tex]
[tex]Residual=10.5+5.8[/tex]
[tex]Residual=16.3[/tex]
Therefore, the residual for the given data point is 16.3.
Solve for x and then answer
Answer:
Value of x = 70'
Step-by-step explanation:
Given:
Given quadrilateral is a cyclic quadrilateral, in a cyclic quadrilateral sum of opposite angle is 180' .
Find:
Value of x
Computation:
x' + 110' = 180'
x' = 180' - 110'
Value of x = 70'
our class tutorial has 12 students, who are supposed to break up into 4 groups of 3 students each. Your Teaching Assistant (TA) has observed that the students waste too much time trying to form balanced groups, so he decided to pre-assign students to groups and email the group assignments to his students. (a) Your TA has a list of the 12 students in front of him, so he divides the list into consecutive groups of 3. For example, if the list is ABCDEFGHIJKL, the TA would define a sequence of four groups to be {A,B,C),{D, E, F},{G, H, 1}, {J, K, L}). This way of forming groups defines a mapping from a list of twelve students to a sequence of four groups. This is a k-to-1 mapping for what k? (b) A group assignment specifies which students are in the same group, but not any order in which the groups should be listed. If we map a sequence of 4 groups, ({A, B, C),{D, E, F),{G, H, 1},{J, K, L}), into a group assignment {{A, B,C),{D, E, F),{G, H, 1), (J, K, L}}, this mapping is ;-to-1 for what j? (c) How many group assignments are possible? (d) In how many ways can 3n students be broken up into n groups of 3?
(a) The mapping from a list of twelve students to a sequence of four groups is a k-to-1 mapping, where k is equal to 3.
Each group consists of 3 students, so when the list is divided into consecutive groups of 3, we have 4 groups in total. Therefore, each group assignment is determined by 3 students from the list, resulting in a 3-to-1 mapping.
The mapping is a 3-to-1 mapping because it assigns 3 students to each group.
(b) The mapping from a sequence of 4 groups to a group assignment is a 1-to-1 mapping.
In a group assignment, the order of the groups does not matter. As long as the students are assigned to the same groups, the assignment is considered the same. Therefore, the mapping is a 1-to-1 mapping, as there is only one possible group assignment for a given sequence of groups.
The mapping is a 1-to-1 mapping because each sequence of groups corresponds to a unique group assignment.
(c) The number of group assignments possible can be calculated by multiplying the number of ways to select 3 students from 12 for the first group, then the number of ways to select 3 students from the remaining 9 for the second group, and so on.
The number of ways to select 3 students from a group of 12 can be calculated using the combination formula "nCr," where n is the total number of students and r is the number of students to be selected. In this case, the formula becomes C(12, 3) for the first group, C(9, 3) for the second group, C(6, 3) for the third group, and C(3, 3) for the fourth group.
The total number of group assignments possible can be calculated as C(12, 3) * C(9, 3) * C(6, 3) * C(3, 3).
(d) The number of ways to break 3n students into n groups of 3 can be calculated using the multinomial coefficient formula.
The multinomial coefficient formula is used to calculate the number of ways to distribute objects into distinct groups, where the number of objects can vary in each group. In this case, we have 3n students to be distributed into n groups of 3, so the formula becomes (3n)! / (3!)^n.
The number of ways to break 3n students into n groups of 3 is (3n)! / (3!)^n.
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Which of the following describes the fraction 2/5?
5 is the part, 2 is the whole, and the fraction is equivalent to 25%.
2 is the part, 5 is the whole, and the fraction is equivalent to 25%.
5 is the part, 2 is the whole, and the fraction is equivalent to 40%.
2 is the part, 5 is the whole, and the fraction is equivalent to 40%.
The correct description of the fraction 2/5 is,
⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The fraction is,
⇒ 2/5
Now, We can change into percent as;
⇒ 2/5 × 100%
⇒ 2 × 20%
⇒ 40%
Thus, The correct description of the fraction 2/5 is,
⇒ 2 is the part, 5 is the whole, and the fraction is equivalent to 40%.
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f(x)=x^2. what is g(x)?
please help asap!!
The equation of the red graph, g(x) is g(x) =1/3x²
How to calculate the equation of the red graphFrom the question, we have the following parameters that can be used in our computation:
The functions f(x) and g(x)
In the graph, we can see that
The blue graph passes through the vertex (0, 0)The red graph passes through the vertex (0, 0) but it is 3 times widerThis means that
g(x) = 1/3f(x)
Recall that
f(x) = x²
This means that
g(x) =1/3x²
This means that the equation of the red graph is g(x) =1/3x²
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