Answer:
debit
Step-by-step explanation:
if a confidence interval is given from 43.85 up to 61.95 and the mean is known to be 52.90, what is the margin of error?
The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2
In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).
In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.
For more questions on population mean
https://brainly.com/question/26941429
#SPJ11
if the probability that a flight will be delayed is 0.21, then the probability that it will not be delayed must be?
The probability that the flight will not be delayed is 0.79.
If the probability that a flight will be delayed is 0.21, then the probability that it will not be delayed must be:
Understand that the total probability of an event is always 1. In this case, there are only two possible outcomes: the flight is delayed, or it is not delayed.
Subtract the probability of the flight being delayed (0.21) from the total probability (1).
1 - 0.21 = 0.79
The probability that the flight will not be delayed is 0.79.
Learn more about "probability ":
https://brainly.com/question/13604758
#SPJ11
Someone pls help me with this!!
Answer:the first one is d and the third one is 65% and I think the second one is 5 hours
Step-by-step explanation:
(PLZ READ )all you have to do to get the answer for the first one is divide for example on D it says 1 and then 5 and 2 and 10 first you divide 1 by 5 then 2 by ten and if they ALL have the same answer then they are proportional even if one does not have the same as All the rest it is not proportional.
and for the third one you can search it up
1. Si tengo el siguiente ejercicio x = 8+9*4+(32*2+5*4)+3*6 aplicando la jerarquía de operaciones, el resultado sería? a. 25 b. 45 c. 78 d. Ninguna de las anteriores
Answer:
Option D is correct.
The answer is none of the above.
x = 146
La opción D es correcta.
La respuesta es ninguna de las anteriores.
x = 146
Step-by-step explanation:
English Translation
If I have the following exercise x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6 applying the hierarchy of operations, the result would be?
a. 25
b. 45
c. 78
d. None of the above
Solution
The hierarchy of operations includes BODMAS.
B - Brackets
O - Order
D - Division
M - Multiplication
A - Addition
S - Subtraction
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Solving the bracket first.
The multiplication in the bracket are first simplified to give
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Then further simplifying the bracket
x = 8 + 9 * 4 + (84) + 3 * 6
We then solve the multiplication outside the brackets
x = 8 + 36 + 84 + 18
We now sum all of this
x = 146
In Spanish/En Español
La jerarquía de operaciones incluye BODMAS.
B - Soportes
O - Orden
D - División
M - Multiplicación
A - Suma
S - Resta
x = 8 + 9 * 4 + (32 * 2 + 5 * 4) + 3 * 6
Resolver el soporte primero.
La multiplicación en el paréntesis se simplifica primero para dar
x = 8 + 9 * 4 + (64 + 20) + 3 * 6
Luego simplificando aún más el soporte
x = 8 + 9 * 4 + (84) + 3 * 6
Luego resolvemos la multiplicación fuera de los corchetes
x = 8 + 36 + 84 + 18
Ahora sumamos todo esto
x = 146
Hope this Helps!!!
¡¡¡Espero que esto ayude!!!
35°
46"
65"
30"
2x
What is the perimeter? This is a little tougher problem,
and to solve it you'll need to know the lengths of the
segments on either side of the perpendicular height
(which is whyt I gave you the numbers in smaller font).
Submit
The perimeter of the triangle is 170 inches.
How to calculate the valueTo solve for the perimeter, we first need to find the length of the perpendicular height. We can do this using the sine function:
sin(35°) = 46/x
x = 46/sin(35°) = 65 inches
Now that we know the length of the perpendicular height, we can find the length of the base of the triangle using the cosine function:
cos(35°) = 65/x
x = 65/cos(35°) = 75 inches
The perimeter of the triangle is the sum of the lengths of the three sides, so the perimeter is:
P = 65 + 75 + 30
= 170 inches
Learn more about perimeter on
https://brainly.com/question/19819849
#SPJ1
Find the area of the rectangle.. Single choice.
436 cm squared
399 cm squared
380 cm squared
417 cm squared
Answer:
399 cm squared.....Do you want explanation ??
Answer:
socratic
Step-by-step explanation:
use socratic take a pic then it searchers for you
HELPPP! EASY 50 POINTS!!
5z+10z+5z=20z gcf=5
rewrite the expression above with 2 equivalent forms!!
Answer:
5 (2+22 + 2) =202
5 (42) = 202
Write something nice about somebody you hate.
i like your eyes they sparkle like the night sky even though you left me and stabbed me in the heart after i worshipped the ground you walked on ,
find the projection of v on to w if v = ⟨-5,-2⟩ and w = ⟨1,-1⟩
Answer:
Step-by-step explanation:
\(\frac{\vec v \bullet \vec w}{||\vec w||}\bullet \vec w\)
\(\vec v \bullet \vec w = <-5, -2>\bullet <1,-1>= -5+2 = -3\)
\(||\vec w ||=\sqrt{2}\)
Hence, the result will be
\(\frac{-3\sqrt{2} }{2} <1,-1>\)
you can put the scalar in to get
\(<-\frac{3\sqrt{2 }}{2} , \frac{3\sqrt{2} }{2} >\)
HELP ME PLEASE!!!!!
A factory manager asks every 5th employee to clock
in for a full work day if they would like to add a drink
machine or a snack machine to the employee
breakroom?
refer to exhibit 8-2. with a .95 probability, the sample mean will provide a margin of error of _____.
Referring to exhibit 8-2, we can see that the sample size is 400, and the population standard deviation is 10.
Based on these values, we can use the formula for the margin of error:
Margin of error = Z * (σ/√n)
Where Z is the Z-score for the desired level of confidence (in this case, 0.95), σ is the population standard deviation, and n is the sample size. Using a Z-score of 1.96 (which corresponds to a 0.95 confidence level), we can plug in the values:
Margin of error = 1.96 * (10/√400)
Simplifying this equation, we get:
Margin of error = 1.96 * (10/20) = 0.98
Therefore, with a 0.95 probability, the sample mean will provide a margin of error of approximately 0.98.
Based on Exhibit 8-2, with a 0.95 probability, the sample mean will provide a margin of error of "X" (please insert the value provided in the exhibit). This means that we can be 95% confident that the true population mean lies within the sample mean ± X.
To know more about standard deviation visit:
https://brainly.com/question/29115611
#SPJ11
Evaluate f(-2) if f(x) = x + 3
OC
bh
\(\\ \sf\longmapsto f(x)=x+3\)
\(\\ \sf\longmapsto f(-2)\)
\(\\ \sf\longmapsto -2+3\)
\(\\ \sf\longmapsto 1\)
f(-2) = -2 + 3
f(-2) = 3 - 2
f(-2) = 1
The five points A, B, C, D, and E lie on a plane. How many different quadrilaterals can be drawn using only the given points?
There are 5 different quadrilaterals that can be drawn using the given points A, B, C, D, and E.
To determine the number of different quadrilaterals that can be drawn using the given points A, B, C, D, and E, we need to consider the combinations of these points.
A quadrilateral consists of four vertices, and we can select these vertices from the five given points.
The number of ways to choose four vertices out of five is given by the binomial coefficient "5 choose 4," which is denoted as C(5, 4) or 5C4.
The formula for the binomial coefficient is:
C(n, r) = n! / (r!(n-r)!)
Where "n!" denotes the factorial of n.
Applying the formula to our case, we have:
C(5, 4) = 5! / (4!(5-4)!)
= 5! / (4!1!)
= (5 * 4 * 3 * 2 * 1) / ((4 * 3 * 2 * 1) * 1)
= 5
Therefore, there are 5 different quadrilaterals that can be drawn using the given points A, B, C, D, and E.
To know more about, quadrilateral visit
https://brainly.com/question/29934440
#SPJ11
The volume of a box containing 15 identical cubes is 295245cu.m. Find the edge of the cube.
Answer:
Edge length of the cube = 27 m
Dimensions of the box is length = 135 m, width = 81 m, height = 27 m
Step-by-step explanation:
The box contains 15 identical cubes therefore, we have
Edge length of cube = Side, s, of cube
15 × s³ = 295245 m³
∴ s³ = 295245/15 = 19683 m³
s = ∛19683 = 27 m
Hence the edge length of the cube = 27 m
The dimension of the box is length = 5 × 27 = 135 m
Width = 3 × 27 = 81 m
height = 27 m.
help xxx
23421 x 230 = ? im not allowed to use a calc on this
Answer:
5,386,830
Step-by-step explanation:
PLZ I NEED HELP THIS IS PART OF A TEST
A 25 inch length of string was cut into 4 equal lengths. How long was each piece of the string?
I will give brainlist!!!!!!!!!!!!!!!!!!!!!!
Answer:
6.25 inches
Step-by-step explanation:
25/4=6.25
Answer:
i got you! 4 m divided by 8 = 4/8 m = 1/2 m 1 m = 100 cm, so 1/2 m = 50 cm Each piece will be 1/2 m long or 50 cm long. ... The short piece is how many inches long? ... Two ropes 16 m and 20 m long are to be cut into small pieces of equal length
Step-by-step explanation:
(2.1) T/F The solution of a system of linear equations is the point (x,y) where the lines intersect.
True. The solution of a system of linear equations in two variables is the point (x, y) where the two lines intersect. This point satisfies both equations in the system simultaneously.
A system of linear equations in two variables is a set of two equations that can be written in the form:
a₁x + b₁y = c₁
a₂x + b₂y = c₂
where x and y are the variables and a₁, b₁, c₁, a₂, b₂, and c₂ are constants. The goal is to find the values of x and y that satisfy both equations in the system.
Geometrically, each equation in the system represents a line in the two-dimensional plane. The solution of the system is the point (x, y) where the two lines intersect. This point satisfies both equations simultaneously and is the only point that does so.
To find the solution of a system of linear equations, we can use various methods such as substitution, elimination, or matrices. These methods involve manipulating the equations in the system to eliminate one of the variables and solve for the other. Once we have the value of one variable, we can substitute it back into one of the equations to solve for the other variable. The solution of the system is then the ordered pair (x, y) that satisfies both equations.
Visit to know more about Linear equation:-
brainly.com/question/28732353
#SPJ11
Determine the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years from an account paying 4.5% compounded semiannually. round your answer to the nearest cent. a. $938,272.00 b. $941,790.00 c. $535,528.03 d. $547,577.41
The amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
The total amount to be withdrawn in a year = 15265*2 = $30530
The total amount to be withdrawn in 35 years =$1068550
What is the compound interest?Compound interest is interest on interest along with interest on the principle.
Annual Rate of interest = 4.5%
Semi-annual rate of interest r=2.25%
Amount A= $1068550
\(1068550 =P(1+\frac{2.25}{100})^70\)
\(P = $225093.358\)
Therefore, the amount needed such that when it comes time for retirement, an individual can make semiannual withdrawals in the amount of $15,265 for 35 years is $225093.358.
To get more about compound interest visit:
https://brainly.com/question/24274034
Rectangle ABCD is drawn on a grid with point A at (-3, 4), point B at (-1,4), point Cat (-1,-1) and point D at (-3,-1). If rectangle ABCD is reflected
over the line x = 2, what are the coordinates of the reflected rectangle A'B'C'D?
Options:
• A A75, 4). B'18. 4). C18.-1), D45.-1)
• B. A45.4), B (7,4), C(5.-1), D'(7.-1)
• C. A45, 4), B (7,4), C77, 1), D(5, 1)
• D. A(1,4). B(3,4), C13.-1). D'(1. -1)
Given:
The vertices of the rectangle ABCD are A(-3,4), B(-1,4), C(-1,-1) and D(-3,-1).
It is reflected over the line x=2.
To find:
The vertices of the image A'B'C'D'.
Solution:
If a figure is reflected over the line x=a, then
\((x,y)\to (-(x-a)+a,y)\)
\((x,y)\to (-x+a+a,y)\)
\((x,y)\to (-x+2a,y)\)
The rectangle ABCD is reflected over the line x=2. So, the rule of reflection is
\((x,y)\to (-x+2(2),y)\)
\((x,y)\to (-x+4,y)\)
Using this rule, we get
\(A(-3,4)\to A'(-(-3)+4,4)\)
\(A(-3,4)\to A'(3+4,4)\)
\(A(-3,4)\to A'(7,4)\)
Similarly,
\(B(-1,4)\to B'(5,4)\)
\(C(-1,-1)\to C'(5,-1)\)
\(D(-3,-1)\to D'(7,-1)\)
The vertices of image are A'(7,4), B'(5,4), C'(5,-1) and D'(7,-1).
Note: All options are incorrect or not in proper format.
A pair of jeans that regularly cost $25.50 are on sale for $5.10 off the regular price. What is the percent of discount on the jeans?
Answer:
20% off
Step-by-step explanation:
if we do simple division 5.1/25.5 we get 1/5 or 20%
Answer:
The percent off it 80%
Step-by-step explanation:
I hope this helps.
Solve 3(x - 4) = 11x
Answer:
\(x = \frac{-3}{2}\)
Step-by-step explanation:
3(x - 4) = 11x
Expand the brackets:
3x - 12 = 11x
Subtract 3x from both sides to isolate the -12:
3x - 12 = 11x
3x - 3x - 12 = 11x - 3x
-12 = 8x
8x = -12
Divide both sides by 8:
\(\\\frac{8x}{8} = \frac{-12}{8}\\x = \frac{-12}{8}\\\)
Simplify fraction:
\(x = \frac{-12}{8}\)
\(x = \frac{-12 \div 4}{8 \div 4}\\x = \frac{-3}{2}\)
Hope this helps!
30. When asked his age, the algebra teacher said, "If you
square my age, then subtract 23 times my age, the
result is 50. How old is be?
F. 23
G. 25
H. 27
J. 46
K. 50
Answer:
25 years old
Step-by-step explanation:
Let the teacher's age be a.
Then:
a^2 - 23a = 50
In standard form, this quadratic is
x^2 - 23a - 50 = 0
Factoring this, we get (x - 25)(x + 2) = 0
So a is either 25 or a is -2. Only a = 25 is relevant here.
The teacher is 25 years old (Answer G)
State if the given functions are inverses.
1)
F(x)=1/2x -2
g(x) = 2x + 4
Answer:
Yes
Step-by-step explanation:
if \(f(x)=\frac{1}{2}x-2\) then what is \(f^-1(x)\) (the inverse of f(x)? let's find out\(f(x)=\frac{1}{2}x-2\\y=\frac{1}{2}x-2\) make f(x) into yThen make y into x and make x into y so \(x=\frac{1}{2}y-2\)\(x=\frac{1}{2}y-2\) now get the new y on the left and everything else on the right\(x=\frac{1}{2}y-2\\x+2=\frac{1}{2}y\\2(x+2)=(2)\frac{1}{2}y\\y=2x+4\) now make y = g(x)\(g(x)=2x+4\) So you found the inverse of f(x) and it is the same as g(x), so the functions are inverses of each otherThe probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur
Answer:
The probability that event B will occur is 0.45
Step-by-step explanation:
Given;
probability that event A occurs, P(A) = 0.4
the probability that events A and B both occur, P(A ∩ B) = 0.25
the probability that either event A or event B occurs, P(A ∪ B) = 0.6
To determine the probability that event B will occur, we use probability addition rule;
P(A) + P(B) = P(A ∩ B) + P(A ∪ B)
0.4 + P(B) = 0.25 + 0.6
0.4 + P(B) = 0.85
P(B) = 0.85 - 0.4
P(B) = 0.45
Therefore, the probability that event B will occur is 0.45
Given f(2) = 1093 (92) and g(2) = 30 . Find and simplify (fog) (2)
Refer to image
Given \( f(x)=\log _{3}(9 x) \) and \( g(x)=3^{x} \). Find and simplify \( (f o g)(x) \) \( 2 x \) \( 27^{x} \) \( 2+x \) None of these.
The simplified expression for (f ∘ g)(x) is 2 + x (option d).
To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.
Given:
f(x) = log₃(9x)
g(x) = \(3^x\)
Substituting g(x) into f(x):
(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)
Now, we simplify the expression:
log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)
Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:
log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x
Using the property logₓ\((x^a)\) = a * logₓ(x), we get:
log₃\((3^2)\) + x = 2 * log₃(3) + x
Since logₓ\((x^a)\) = a, where x is the base, we have:
2 * log₃(3) + x = 2 + x
Therefore, (f ∘ g)(x) simplifies to:
(f ∘ g)(x) = 2 + x
So, the correct answer is (d) 2 + x.
To know more about expression, refer here:
https://brainly.com/question/31800038
#SPJ4
Complete Question:
Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)
(a) 2x
(b) x
(c) \(27^x\)
(d) 2+x
(e) None of these.
If the government imposes a minimum wage of $12, how many workers will be unemployed? 4,000 10,000 2,000 0
If the government was to impose a minimum wage of $12 then the number of unemployed workers would be 4,000.
How many workers would be unemployed?If the government was to impose a minimum wage of $12 then a situation would arise where the demand for workers is 8,000 yet the supply for workers is 12,000.
This would lead to an unemployment rate of:
= 12,000 - 8,000
= 4,000 people
Find out more on minimum wage at https://brainly.com/question/1461885
#SPJ4
jack bought 24 apples out of farmstand he divided the apples between his brother his friend and himself in a ratio of 2:1:3 how many apples does each person receive
Answer: 8:4:12 I believe...
Step-by-step explanation: If the order is 2-his brother 1-his friend- and 3- himself, then I believe his brother would get eight, his friend 4, and he would have twelve.
Answer:
8:4:12
Step-by-step explanation:
Consider the following augmented matrix of a system of linear equations, where a is any number: [1 0 0 5 0 0 0 1 a 1 2 6]. Which of the following statements is true? (a) The system has a unique solution when a = 3. (b) The system has no solution when a = 3. (c) The system has infinitely many solutions when a = 3. (d) The system has infinitely many solutions when a notequalto 3. (e) None of the above.
The answer is (b) The system has no solution when a = 3.
We can use row reduction to determine the solution(s) of the system of linear equations for any value of a. The augmented matrix is:
\begin{bmatrix}
1 & 0 & 0 & 5 \
0 & 0 & 0 & 1 \
a & 1 & 2 & 6
\end{bmatrix}
First, we can use row operations to put the matrix in row echelon form:
\begin{bmatrix}
1 & 0 & 0 & 5 \
0 & 1 & 2 & 6-a \
0 & 0 & 0 & 1
\end{bmatrix}
Now we can see that the system has a unique solution if and only if the third row corresponds to the equation 0x + 0y + 0z = 1, which is never true, so we can conclude that the system has no solution when a is any number. Therefore, the answer is (b) The system has no solution when a = 3.
Learn more about matrix here:
https://brainly.com/question/28180105
#SPJ11
There are 24 students in priscillas class. There are more students in her class then Mrs. , Roders class. Create an inequality that represents this situation, Using x for the number of students in mrs. Roders class
The inequality that represents the situation where there are more students in Priscilla's class than Mrs. Roder's class using x for the number of students in Mrs. Roder's class is x + 1 < 24.
We know that there are more students in Priscilla's class than in Mrs. Roder's class, so the number of students in Mrs. Roder's class, represented by x, must be less than the number of students in Priscilla's class. If we add 1 to x to account for the fact that there are more students in Priscilla's class, the resulting inequality is x + 1 < 24. This means that the number of students in Mrs. Roder's class, x, must be less than 23 in order for there to be more students in Priscilla's class.
Learn more about inequality here
https://brainly.com/question/25275758
#SPJ11
Pleaseee help meeeee
Answer:
x = 13
Step-by-step explanation:
∠ EGB = ∠ AGF = 77° ( vertically opposite angles )
AB is a straight line so the 3 angles on it sum to 180° , that is
90 + x + 77 = 180
x + 167 = 180 ( subtract 167 from both sides )
x = 13