The relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean is wider than one other.
Confidence interval:
In statistics, confidence interval means the probability that a population parameter will fall between two set values.
Given,
Here we need to find the relationship between a 90% confidence interval around a mean and a 95% confidence interval around a mean.
According to the given question, the given confidence interval values are 90% and 95 %.
When we convert this percentage value into decimal, then we get the value as,
90% = 0.9
95% = 0.95
Here a 95 percent confidence interval, you have a 5 percent chance of being wrong.
And with a 90 percent confidence interval, you have a 10 percent chance of being wrong.
Therefore, 90 percent confidence interval would be wider than a 95 percent confidence interval.
To know more about Confidence interval here.
https://brainly.com/question/24131141
#SPJ4
Imagine
Math
y =
Slope-Intercept Form - Item 35340
Pre-Quiz
x+
Guided
Learning
Complete the slope-intercept form of the linear equation that represents the
relationship in the table.
Practice
Post-Quiz
Finish
Welcome, Brookly
X
ليا
-2
y
-5
5
CLEAR
с
Please some one answer I’ve been working on this forever
Answer:
353340 + x + 33
Step-by-step explanation:
real life sum situation
Judi Imhoff's previous balance was $717.52. She received $4.36 in interest and had $125.00 and $276.95 in deposits and $90.00 in withdrawals. What is her new balance?
After checking Judi Imhoff's account statement her new balance is $1003.83
What is an account statement?
A statement of accounts is a document that lists all the transactions you have with a certain client during a specific time period. In order to inform their clients of the amount they owe for purchases made during that time period on credit, company owners typically issue statements of accounts to their clients. The manual explains the statement of accounts' contents and demonstrates how to file it for clients.
Your bank may send you a monthly or annual statement if you have a savings account.
account statement for the quarter. All deposits are reflected on the account statement,
withdrawals, as well as interest that is added to your account.
The new balance = Previous Balance + Interest + Deposits - Withdrawals
The new balance = $717.52 + $4.36 + ($125.00 + $276.95) - $90.00
So, the new balance of Judi Imhoff is $1003.83
Learn more about Account statement from the link below
https://brainly.com/question/14971139
#SPJ1
a)Find the value of 8^1/3
b)Find the value of 8^2/3
c)FInd the value of 16^3/4
a) The value of 8^1/3 is 2
b) The value of 8^2/3 is 4
c) The value of 16^3/4 is 8
How to determine the values of a, b, and cInformation given in the problem
a) the value of 8^1/3
b) the value of 8^2/3
c) the value of 16^3/4
This equation represents exponents in fraction form and the basics for the calculation is from
a^(b/c) =
[tex]\sqrt[c]{a}^{b}[/tex]
Rewriting the expression is done as below
8^1/3
=∛8
= 2
8^2/3
= ∛8²
= 2²
= 4
16^3/4
[tex]\sqrt[4]{16}^{3}[/tex]
= 2³
= 8
Learn more about exponents here:
https://brainly.com/question/29321719
#SPJ1
Rule: Start at ? Subtract 6 then multiply by 2 each time
? 22- 32- 52
Step-by-step explanation:
let the number be x
So,
(x - 6) × 2 = 22
2x - 12 = 22
2x = 34
x = 17
Thus, the answer is 17
i need help past due
Answer:
$3.45
Step-by-step explanation:
To find the unit price, there must be one gallon of gas
24.82 : 7.2
? : 1
Cross multiply: 24.85 = 7.2(?)
divide: 3.45138889 = ?
Round: 3.45
Given the following function: f ( x ) = 8 x 2 − 16 a. Factor completely. b. What are the x -intercepts. c. What is f ( − 1 ) d. What is the domain and range? e. Find the inverse of the function. f. What is the domain and range of the inverse? g. What is the relationship between the domains and range of a function and its inverse? h. Will the domain and range of all functions and their inverses follow this same pattern?
(a) This is the factored form of the equation.
(b) The x - intercepts are (√2, 0) and (-√2, 0).
(c) The value of f(-1) is -8.
What is x - intercept?
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept.
(a) Consider, the given equation
f(x) = 8x^2 - 16
First to factor the equation.
Take 8 common from both the terms,
f(x) = 8(x^2 - 2)
This is the factored form of the equation.
(b) Now to find the x- intercept.
Let y = 8x^2 - 16
Set y = 0
So,
0 = 8x^2 - 16
8x^2 - 16 =0
x^2 - 2 = 0
x^2 = 2
x = ±√2
Hence, the x - intercepts are (√2, 0) and (-√2, 0).
(c) Now to find the value of f(-1)
plug x = -1 in the given equation.
f(-1) = 8(-1)^2 - 16
f(-1) = 8(1) - 16
f(-1) = 8 - 16
f(-1) = -8
Hence, the value of f(-1) is -8.
To know more about x - intercepts, click on the link
https://brainly.com/question/17932786
#SPJ1
Select the correct answer.
Solve the quadratic equation given below. (9x+13)^2=49
X= -2/3; -20/9
X= 2/3; 20/9
X= 2/3; -20/9
X= -2/3; 20/9
Answer:
x = -2/3; -20/9 so A
Step-by-step explanation:
im 100% percent sure:)
contains two base angles measuring 110g degrees.
3.) Hot Air Balloon You are in a hot air balloon that is 600 feet above the ground where you
can see two people.
600 ft
Not drawn to scale
If the angle of depression from your line of sight to the person at B is 30°, how far is
the person from the point on the ground below the hot air balloon?
The distance from the the point on the ground bellow the hot air balloon is 1039 feet
How to calculate the distance?Distance here talks about how far the person stands from a point
The given parameters are
The angle of depression from the point 30⁰
Height of the air balloon = 600 feet
The distance from the the point on the ground bellow the hot air balloon = x
To find x we use the trigonometric ratio:
TanB = opposite/Adjacent
Tan30 = 600/x
This implies that x*tan30 = 600
Making x the subject we have 600/tan30
⇒x = 600/0.5774
x=1034 feet
In conclusion, the distance from the the point on the ground bellow the hot air balloon is 1039 feet
Learn more about distance on https://brainly.com/question/15172156
#SPJ1
im not sure I'm very very bad at math
Answer:
Step-by-step explanation:
for the first car 374/17 = 22 m per second
for bus 414/23 = 18 m per second
so the car is moving faster
car is moving faster than (22-18)=4 m per second from the bus
Answer: Car: 22 meters per second, Bus: 18 meters per second. The bus travels faster at 4 meters per second.
Step-by-step explanation: First, you should write a proportional relationship for meters per second so the car would be 374/17 and the bus would be written as 414/23. This is so you can know that you divide 374 by 17 to get 18, and 374 by 17 to get 22. So, you had it backward, the bus is faster by 4 meters per second, I hope this helped, for me (a 7th grader) this was review math, so I hoped this helped you.
What’s the value of x?
For the given similar triangle the value of x will be 9 inches.
What is the similarity law for triangles?It is required by law to demonstrate that two triangles are identical in shape, although size is not a requirement. The comparable angles are congruent and the ratio of the respective sides is in the same proportions.
It is given that, the unknown side is x, from the observation it is obtained that the two triangles are similar
The derived formula is, because the sides of the similar triangles are all equal in ratio.
8/6=12/x
x=12×6 / 8
x=9 inches
Thus, for the given similar triangle the value of x will be 9 inches.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ1
For each system of equations, drag the true statement about its solution set to the box under the system.
Therefore ,the answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.
What is equation ?Equations are mathematical expressions that have two algebraic expressions on either side of an equals (=) sign. For an unknown quantity represented by an unknown variable, equations can be solved to determine its value.
Here,
The number of solutions is unlimited if there are more variables than linear independent equations.
A single solution or no solution is possible if there are the same number of linearly independent equations and variables.
In the following scenarios, we are at a loss for solutions:
y = x + 3
y = x - 3
this causes:
x + 3 = x - 3
+3 = -3
Consequently, this system lacks a solution.
The first set of equations is
y = x + 5
y = 2x + 5
You can see that there is only one solution for this system because there are only two variables and two linear independent equations.
Thus, "One solution, the graph of these lines should connect at one point" is what we have here. The key idea is (0, 5)
Another system is:
y =x+x+5 = 2x + 5
y = 2x+ 5
Since both equations are identical and there are just two variables in this situation, there are an endless number of solutions to the system.
The answer that states, "Infinitely many solutions, both sides are equivalent expressions" is the one that should be selected in this case.
To know more about equation , visit
https://brainly.com/question/3658833
#SPJ1
Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form.
3,12,48,...
This is __ sequence and the ____ is equal to.
| |
Arthmatic, geomatric commom ratio, commom difference
Answer:
3
12
12
48
48
192
192
768
768
I hope I helped you
As x increases by 1 unit, what is the exponential growth factor?
PLEASE HELP ASAP!!!
Dontaya is at the top of a lighthouse
which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees. How far is Brace's boat from the bottom of the lighthouse? (round your FINAL
answer to the nearest whole foot)
Brace's boat is 225 feet from the bottom of the lighthouse.
What do you mean by trignoemtry?
Trigonometry (“triangles” and “measures”) is the branch of mathematics that studies the relationship between the side lengths and angles of triangles.
Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles.
Trigonometric ratios of triangles are also called trigonometric functions. Sine, cosine, and tangent are three important trigonometric functions, abbreviated sin, cos, and tan.
It is given that Dontaya is at the top of a lighthouse which is 250 feet above sea level. From the top, the measure of the angle of depression to Brace's boat on the water is 48 degrees
Let Brace's boat is x feet from the bottom of the lighthouse.
Using trignometric ratios,
tan 48 = [tex]\frac{P}{B}=\frac{250}{x}[/tex]
1.11 = [tex]\frac{250}{x}[/tex]
x = [tex]\frac{250}{1.11} = 225.23[/tex] ≈ 225 feet
Therefore, Brace's boat is 225 feet from the bottom of the lighthouse.
To learn more about the trignometry from the given link.
https://brainly.com/question/24349828
#SPJ1
A. p = 70
B. p = 140
C. p equals 2 over 140
D. p = 0.0143
The constant of proportionality (p) for the data points on this graph would then be determined as follows: [tex]p = y/xp = 420/6 = 560/8p = 70.[/tex]
How can a proportional relationship be located on a graph?It is proportional if the relationship's graph is a line or ray that passes through the origin.A line or ray is not proportional if it does not pass through the origin.Additionally, if it is not linear, it cannot be proportional.following equation: y = px
Where:
p is the constant of proportionality.
y represents the gems collected.
x represents the game levels.
The constant of proportionality (p) for the data points on this graph would then be determined as follows: [tex]p = y/xp = 420/6 = 560/8p = 70.[/tex]
To learn more about proportional relationship refer to:
https://brainly.com/question/20167968
#SPJ1
what is 403.1 rounded to the nearest ten
Answer:
400
Step-by-step explanation:
403.1 rounded is 400
Ann Dyslecki is buying a sports car. She financed $ 5590 at her
bank and agreed to repay it in four years. Her monthly payment
was $ 149,60. Find the total amount to be repaid and the finance
charge.
Answer:
5590-149,60
Step-by-step explanation:
sum completed
6 = a/4 + 2
Solve For Unknown variable
Answer:
a = 16
Step-by-step explanation:
6 = [tex]\frac{a}{4}[/tex] + 2 ( subtract 2 from both sides )
4 = [tex]\frac{a}{4}[/tex] ( multiply both sides by 4 to clear the fraction )
4 × 4 = a , that is
a = 16
what does side b equal?
Answer: 8.6
same side s C and B
Answer: 7.2
Step-by-step explanation:
Since this is a right triangle we can use the Pythagorean theorem to solve for side b.
Pythagorean theorem: a²+b²=c²
Since the side length opposite the right angle is the hypotenuse we plug 11.2 in for C
(8.6)² + b²=(11.2)²
73.96 + b² = 125.44
b²=51.48
b = 7.17495644586
b=7.2
Please answer this Question
Option (C) is the proper choice, both set A and B
Describe a function.
It is described as a particular kind of relationship, and each value in the domain is associated to exactly one value in the range according to the function.
These are the ordered pairs:
Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) (3, 4)
Set B: (1, 4), (2, 3), (3, 2), (4, 1) (4, 1)
Set C: (2, 1), (3, 2), (2, 3), (1, 4) (1, 4)
Sets A and B are both functions since they both have sets of x values that are all distinct. Set C is not a function because it repeats the x value of 2, while also providing two distinct y values.
As a result, the function option (C) is the proper choice and the set C: (2, 1), (3, 2), (2, 3), and (1, 4) does not represent the function.
To see similar problems on functions click the link given below
brainly.com/question/5245372
#SPJ1
Simplify the polynomials.
- (2x²+x+1)-(x²-x+7)-(4x²+2x+8)
Answer:
-7x(to the power of 2)-2x-16
Explanation:
9. What is slope of a line that is perpendicular to the line y = -3x + 2?
Answer: [tex]\displaystyle \frac{-1}{3}[/tex]
Step-by-step explanation:
The slope of a perpendicular line will always be the reciprocal of the original line's slope. Here, the reciprocal of -3 is [tex]\frac{-1}{3}[/tex].
What is an equation of the line that passes through the point (-5,-3) and is parallel to the line 3x+5y=15
Answer: [tex]y+3=-\frac{3}{5}(x+5)[/tex]
Step-by-step explanation:
The equation of the given line can be rearranged as follows:
[tex]3x+5y=15\\\\5y=-3x+15\\\\y=-\frac{3}{5}x+3[/tex]
Parallel lines have the same slope, so the slope of the line we need to find is -3/5.
Substituting into point-slope form, the equation of the line is [tex]y+3=-\frac{3}{5}(x+5)[/tex].
For the function f(x) = -2x² + 12, determine f(4).
A) -20
B) 48
C) 76
D) -52
Answer: A.-20
Step-by-step explanation:
f(4)=-2(4)^2+12
f(4)=-2(16)+12
f(4)=-32+12
f(4)=-20
Solve the system below by the method of your choice. Show all work.
−4x+4y=−8
4x−6y=16
Isolate one of the two variables in one of the equations.
How to solve the system?Substitute the expression that is equal to the isolated variable from Step 1 into the other equation.Determine which variable will be eliminated. ...Combine the equations using addition. ...Solve the new equation for the remaining variable.Substitute the value for that variable into one of the original equations and solve.Solve the linear equation for the remaining variable.The mathematical expression with unequal sides is known as an inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to symbol (), less than or equal to symbol (), or not equal to symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics.(- 2, - 4 )
- 4x + 4y = - 8 → (1)
4x - 6y = 16 → (2)
adding (1) and (2) term by term will eliminate x
0 - 2y = 8
- 2y = 8 ( divide both sides by - 2 )
y = - 4
substitute y = - 4 into either of the 2 equations and solve for x
substituting into (2)
4x - 6(- 4) = 16
4x + 24 = 16 ( subtract 24 from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
solution is (- 2, - 4 )
To learn more about inequality refer to:
https://brainly.com/question/25275758
#SPJ1
You are considering taking some courses at your local community college on a part-time basis for the upcoming school year. For a student who carries fewer than twelve credits (the full-time minimum), the tuition is $155 for each credit hour taken. All students, part-time or full-time, must pay a $20 parking fee for the semester. This fixed fee is added directly to your tuition and is included in your total bill. Write an equation to determine the total bill , t, for a student carrying fewer than twelve credit hours. Use n to represent the number of hours taken for the semester. Then, determine the total bill if you take nine credit hours. A. T + 20 = 155 n; $1395 b. T = 155 n + 20; $1395 c. T = 155 n + 20; $1415 d. T + 20 = 155 n; $1415.
The total bill if the student takes nine credit hours at the community college is T = $1415.
What are linear equations?One or more variables can be present in a linear equation, but their maximal possible power is only one. The graph of a linear equation will thus always be a straight line. Y = mx + b, where m denotes the line's slope and b its y-intercept, or point of intersection with the y-axis, is how linear equations are expressed. Many real-world situations, such as the connection between two variables or the distance travelled at a constant pace, may be modelled using linear equations. In order to obtain the value of the variable(s) necessary to make the equation true, one must use algebraic methods.
How to solve?
The total bill, t, for a student carrying fewer than twelve credit hours is given by,
T = 155 n + 20, where n represents the hours taken for semester.
The total bill if the student takes nine credit hours is T = 155(9) + 20 = $1415.
To learn more about linear equations, visit:
https://brainly.com/question/13738061
#SPJ4
A population of 50 foxes in a wildlife preserve doubles in size every 14 years. The function y = 50.2*, where x is the number of 14-year periods, models the population
growth. How many foxes will there be after 42 years?
After 42 years there will be foxes. (Type a whole number.)
Answer:
400
Step-by-step explanation:
You want to know the number of foxes predicted after 42 years by y = 50·2^x, where x is measured in 14-year periods.
Periods42 years is 42/14 = 3 14-year periods. Using x=3 in the equation, we predict ...
y = 50·2^3 = 50·8 = 400
foxes.
After 42 years, there will be 400 foxes.
__
Additional comment
It is often convenient to use time measured in 1-year periods. In that case, the equation could be written ...
y = 50·2^(t/14)
Then t/14 is the number of 14-year periods when t is in years.
please help me i need it before tomorrow if possible. i need all 4 answered
The answer to this Question based on Thales Theorem is x = 8
What is Thales Theorem?
It says that when we join the mid points of two sides of a triangle the line is parallel to third side of triangle then the length of this joined line is half of length of third side
Here in Question given figure is like trapezium but we can extend it to make a triangle then by thales theorem we need to apply on other two sides hence joined line is parallel to third lines hence will be half of it
Solution:
1/2(x) = 2x - 12
x = 2(2x-12)
x = 4x - 24
24 = 3x
x = 8
Hence required value of x is 8
To learn more about thales theorem:
https://brainly.com/question/29626660
#SPJ1
What value for a in the system of equations below would yield no solutions for the system? Explain how you obtained your answer.
ax+12y=−6
2x−6y=4
a=
After solving the provided question, The value for a in the system of equations below would yield no solutions for the system is [tex]= > a = 18 - 20\frac{y}{x}[/tex]
A system of equations is what?several equations at once, multiple equations In algebra, you must work together to solve two or more equations (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, there must be an equal number of equations and unknowns.
When there are two variables and you are given two pieces of information about how those variables are related, a system of equations is used. To address a number of typical problems, a system of equations can be employed.
[tex]3x-5y=15\\multiply with 6\\18x -30y = 90\\compare the equation with \\ax-10y=90\\then \\18x -30y = ax-10y\\ax = 18x + 10y -30y\\ax = 18x-20y\\a= (18x -20 y) / x\\[/tex]
[tex]= > a = 18 - 20\frac{y}{x}[/tex]
x≠o
To know more about system of equation visit:
https://brainly.com/question/27919853
#SPJ1
What is meant by the trend component of a time series? How is a linear trend different from a nonlinear trend? CO What is meant by the trend component of a time series? ary OA. The trend component represents changes in time-series data that are unpredictable and cannot be associated with a seasonal, cyclical, or random component. OB. The trend component is the long-term increase or decrease in a variable being measured over time. OC. The trend component is a wavelike pattern that is repeated throughout a time series and has a recurrence period of at most one year. D. The trend component is a wavelike pattern within the time series that repeats itself throughout the time series and has a recurrence period of more than one year.
Answer: A trend line is a line on a scatter plot, drawn near points, that approximates the association between the data sets.
Step-by-step explanation:
2. The linear trend in precipitation is the dominant trend type. The nonlinear trends occur much less frequently and more widely scattered over the globe. However, the nonlinear trends are credible patterns of change in precipitation.
3. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out. This component can be viewed as those variations with a period longer than a chosen threshold
4. The trend component represents changes in time-series data that are unpredictable and cannot be associated with a seasonal, cyclical, or random component. OB. The trend component is the long-term increase or decrease in a variable being measured over time.
5. The trend is the component of a time series that represents variations of low frequency in a time series, the high and medium frequency fluctuations having been filtered out.
6. The trend component is the long-term increase or decrease in a variable being measured over time.