According to data released by New Town Chamber of Commerce, the weekly wages of office workers have a mean of $723 and a standard deviation of $151. If 57 office workers are chosen at random New Town, what is the probability that the mean weekly wage of these workers will be greater than $750? (Write answer round to whole number like 6%)
Answers
The probability that the mean weekly wage of these 57 workers will be greater than $750 is approximately 9%.
To find the probability that the mean weekly wage of the 57 randomly chosen office workers will be greater than $750, we'll use the Central Limit Theorem and z-score formula.
1. Find the standard error (SE) by dividing the standard deviation ($151) by the square root of the sample size (57):
SE = $151 / √57 ≈ $20.03
2. Calculate the z-score:
z = (sample mean - population mean) / SE
z = ($750 - $723) / $20.03 ≈ 1.35
3. Look up the z-score in a standard normal distribution table or use a calculator to find the probability. For a z-score of 1.35, the area to the left is approximately 0.9115. Since we want the probability of the mean wage being greater than $750, we'll calculate the area to the right:
P(z > 1.35) = 1 - 0.9115 ≈ 0.0885
4. Convert the probability to a percentage and round to a whole number:
0.0885 × 100 ≈ 9%
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Related Questions
Somebody help plz!!!
Answers
Answer:
42°
Step-by-step explanation:
angle b is complementary to 48° so their sum is 90°.
Answer:
42
Step-by-step explanation:
48 + b = 90
90 - 48 = 42
b = 42
Need help !!! If f(x) = 3x+10 and g(x) = 5x-3,find (f+g)(x)
Answers
Answer:
8x+7
Step-by-step explanation:
Use the given functions to set up and simplify
(f+g)(x)
Answer:
8x + 7
Step-by-step explanation:
(f+g)(x)= f(x) +g(x) = 3x + 10 + 5x - 3 = 8x + 7
Harry paid $11.50 for a pizza and bounced a check. His bank paid the check because he has overdraft protection but charged him a $20 fee. How much did the pizza cost him
Answers
Use the drawing tool(s) to form the correct answers on the provided number line.
Yeast, a key ingredient in bread, thrives within the temperature range of 90°F to 95°FWrite and graph an inequality that represents the temperatures where yeast will NOT thrive.
Answers
The inequality of the temperatures where yeast will NOT thrive is T < 90°F or T > 95°F
Writing an inequality of the temperatures where yeast will NOT thrive.from the question, we have the following parameters that can be used in our computation:
Yeast thrives between 90°F to 95°F
For the temperatures where yeast will not thrive, we have the temperatures to be out of the given range
Using the above as a guide, we have the following:
T < 90°F or T > 95°F.
Where
T = Temperature
Hence, the inequality is T < 90°F or T > 95°F.
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The expression 4x² represents
(4)(x)(x)
(4x)(4x)
(4)(x)(2)
Answers
Answer: (4x)(4x) <_>
Identify the solution to the system
Answers
Answer:
The solution is where the two lines intersect so
(1, 3)
x= 1
y= 3
Step-by-step explanation:
explanation: on the graph the X unit goes right by 1 and the y axis, it goes up by three, making it (1,3)
i hope this helps !!!
after subsituting what is the first step when evaluatingb 4y+9 over 7 when y=8
Answers
4(8)+9/7
Then solve it
32+9/7
(224+9)7
233/7
Eratosthenes was born 276 BC. Abraham Lincoln died in 1865. How many years apart were these two events. Answer choices: 276 1865 1589 -1589
Answers
The number of years apart between Eratosthenes was born in 276 BC (Before Christ) Abraham Lincoln died in 1865 is 2140 years.
Eratosthenes was born in 276 BC
Abraham Lincoln died in 1865 AD
BC = Before Christ
AD = anno dominie
The difference between the born date of Eratosthenes and the death date of Abraham Lincoln is to be calculated by
Year difference = BC year + AD year - 1
Year difference = 276 + 1865 - 1
Year difference = 2140
hence the difference between the born date of Eratosthenes and the death date of Abraham Lincoln is 2140
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A car dealership is holding a contest for people who are in line before 6 a.m. The people who are 57 places before and after the 153rd
person win a new car. Based on this information, which equation can be used to find the two winners of the new car?
Answers
The equations x - 57 and x + 57 can be used to find the positions of the two winners of the new car, where x represents the Position of the 153rd person in line.
Based on the given information, we can determine the equations to find the two winners of the new car.
The position of the 153rd person in line as x. Since the people who are 57 places before and after the 153rd person win the new car, we can write the following equations:
1. For the person 57 places before the 153rd person: x - 57
This equation represents the position of the person who is 57 places before the 153rd person in line.
2. For the person 57 places after the 153rd person: x + 57
This equation represents the position of the person who is 57 places after the 153rd person in line.
By substituting the value of x (the position of the 153rd person) into these equations, we can find the positions of the two winners in line.
For example, if the 153rd person is in the 200th position in line (x = 200), we can determine the winners as follows:
1. For the person 57 places before the 153rd person: 200 - 57 = 143
The person in the 143rd position is the winner of the new car.
2. For the person 57 places after the 153rd person: 200 + 57 = 257
The person in the 257th position is the second winner of the new car.
Thus, the equations x - 57 and x + 57 can be used to find the positions of the two winners of the new car, where x represents the position of the 153rd person in line.
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For a sequence of two events in which the first event can occur m ways and the second event can occur n ways, the events together can occur a total of m n ways. This is called_____________.
Answers
The given principle is called the multiplication principle of counting.
This is called the multiplication principle of counting. It states that if there are m ways in which one event can occur and for each of these ways the second event can occur in n ways, then the total number of ways in which the two events can occur together is the product of m and n, which is mn.
The multiplication principle of counting can be extended to more than two events as well. For example, if there are three events and the first event can occur in m ways, the second event can occur in n ways for each of these m ways, and the third event can occur in p ways for each of the mn ways, then the total number of ways in which the three events can occur together is mnp.
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Tim takes a sheet of paper and makes a diagonal cut from one corner to the opposite corner, making two triangles. The cut he makes is 10 inches long and the width of the paper is 9 inches. What is the paper's length?
Answers
In a diagram, this is the information we have
Notice that, after cutting the sheet of paper, we get 2 right triangles.
We can use the Pythagorean theorem to find the length of the paper as follows:
\(\begin{gathered} (10in)^2=(9in)^2+(length)^2 \\ \Rightarrow\text{length}=\sqrt[]{(10in)^2-(9in)^2}^{} \\ \Rightarrow\text{length}=\sqrt[]{19in^2} \\ \Rightarrow\text{length}=\sqrt[]{19}in \end{gathered}\)The answer is sqrt(19) in, which is, approximately, 4.36 in
Please help ASAP!!
Will mark brainlest
Assignment due at 12:00
Answers
Answer:
(1,5)?
Step-by-step explanation:
What is the solution to this using substitution method pls show ur work
Answers
Answer:
x=-6, y=0
Step-by-step explanation:
Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.
Consider the relation schema R(A,B,C,D,E) with the following functional dependencies F= {A->B, C->B, D->ABC, AC->D, D->E} Compute the candidate key for the given relation Compute the minimal cover of F.
Answers
The candidate key for the relation schema R(A,B,C,D,E): A→B, C→B, D→A, D→B, D→C, C→D, D→E.
Candidate key for the given relation: To find the candidate key for the relation schema R(A,B,C,D,E), we need to follow the below steps:
Here, we have the following functional dependencies: A→B, C→B, D→ABC, AC→D, D→E.
Step 1: To normalize the given dependencies, we have the following dependencies:
A→B, C→B, D→ABC, AC→D, D→E becomes
A→B, C→B, D→A, D→B, D→C, D→E.
Step 2: To check for the minimal dependency, we can eliminate the redundancy by eliminating D→ABC. Therefore, we have the following dependency:
A→B, C→B, D→A, D→B, D→C, D→E.
Step 3: Find the closure on each attribute, which is as follows:
1. A+ = {A,B}
2. B+ = {B}
3. C+ = {B}
4. D+ = {A,B,C,D,E}
5. E+ = {E}
Step 4: The combination of attributes that have all attributes of the relation schema, and it will be a candidate key is AD. Therefore, the candidate key is AD.
Compute the minimal cover of F:
Minimal Cover: The minimal set of dependencies that is equivalent to the given set of dependencies is the minimal cover.
We have the following functional dependencies:
A→B, C→B, D→ABC, AC→D, D→E.
The process to compute the minimal cover of F is as follows:
Step 1: To find the redundant dependencies, we need to split the dependencies. We have the following dependencies:
A→B, C→B, D→ABC, AC→D, D→E becomes
A→B, C→B, D→A, D→B, D→C, D→E.
Step 2: To eliminate the dependencies with three attributes, we can use the following steps:
If X→YZ, then X→Y and X→Z.
Therefore, we have the following dependency:
D→A, D→B, D→C.
Step 3: To eliminate the dependency with two attributes, we can use the following steps:
If X→Y and Y→Z, then X→Z.
We have the following dependency: AC→D, C→D.
Step 4: Therefore, the minimal cover of F is A→B, C→B, D→A, D→B, D→C, C→D, D→E.
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I need help
Solving this problem
Answers
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
:
x is the number of half-lives that have passed,
(EX. If the half life is 3 days, then 6 days would be 2 half lives and 9 days would be 3 half-lives)
:
Question 9 (1 point) ✓ Saved
Arsenic-74 is used to locate brain tumors. It has a half-life of 17.5 days. 90 mg were
used in a procedure. Write an equation that can be used to determine how much of
the isotope is left after x number of half-lives.
Question 10: how much would be left after 70 days?
Answers
The exponential function that is used to determine how much of the isotope is left after x number of half-lives is:
\(A(x) = 90(0.5)^x\)
5.625 mg would be left after 70 days.
What is an exponential function?A decaying exponential function is modeled by:
\(A(t) = A(0)(1 - r)^t\)
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering that it has 90 mg, and the half-life means that r = 0.5, the equation is:
\(A(x) = A(0)(1 - r)^x\)
\(A(x) = 90(0.5)^x\)
70 days is 70/17.5 = 4 half-lifes, hence:
\(A(4) = 90(0.5)^4 = 5.625\)
5.625 mg would be left after 70 days.
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Six friends go to a movie theater. In how many different ways can they sit together in a row of six empty seats?
A. 7,200
B. 720
C. 72
D. 46,656
Answers
Answer:
Step-by-step explanation:
There are 6 people and 6 seats. This means that any one of the 6 can take any one of the 6 seats. When person 1 sits in seat 1, there are 5 people left for the remaining 5 seats. When person 1 sits in seat 2, there are 4 people left for the remaining 4 seats. The catch here is that when there are, say, 5 seats left, those 5 people can "mix it up" so many different ways; but there will always be 1 less person when one sits down. This is a factorial problem:
6*5*4*3*2*1 = 720, choice B
out of 9799 wistles that a company manufactured, some were rejected for shipment to stores because they did not pass the quality controll standards of the company. estimate the number of wistles that did not pass
Answers
1862 are the number of wistles that did not pass.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that out of 9799 wistles that a company manufactured
19% were rejected for shipment to stores because they did not pass the quality controll standards of the company.
We have to find the number of wistles that did not pass
To find this we have to find 19% of 9799
19/100×9799
0.19×9799
1861.81
Hence, 1862 are the number of wistles that did not pass.
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Fill in the table using this function rule.
y = 3 + 5x
X
1
1
3
0
4
5
Answers
Answer:
1=8
1=8
3=18
0=0
4=23
5=28
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What is the greatest
common factor (GCF) of 16
and 21?
Answers
Answer:
As you can see when you list out the factors of each number, 1 is the greatest number that 16 and 21 divides into.
Step-by-step explanation:
Acellus
If this trapezoid is moved through the
translation (x+1, y-3), what will the
coordinates of D' be?
5
B
С
4
j
AP
2
D
1
-7
-6
-5 -4
- -2
-1 0
1
2
3
4
D' = ([?],
Answers
Answer:
D' (2 , -1)Here,
D(1,2)
Now,
(X+1 , y-3)
D' (1+1 , 2-3)
D'( 2, -1)
Hope this helps...
Good luck on your assignment..
I'll answer the other three just in case :)
original : A = ( -6 , 2 )
formula : ( x+1 , y-3 )
( -6 + 1 ) , ( 2 - 3 )
A = ( -5 , -1 )
_________________
original : B = ( -5 , 4 )
formula : ( x+1 , y-3 )
( -5 + 1 ) , ( 4 - 3 )
B = ( -4 , 1 )
_________________
original : C = ( -2 , 4 )
formula : ( x+1 , y-3 )
( -2 + 1 ) , ( 4 - 3 )
C = ( -1 , 1 )
A person has 7 songs to choose from and will perform 3. How many different ways can they do this?
Answers
Answer:
They can chose the best song out or used others opinion.
Step-by-step explanation:
determine whether the statement is true or false. if f and g are differentiable, then d dx [f(g(x))]
Answers
The given statement d dx [f(g(x))] is true if f and g are differentiable.
As we know that the value of a definite integral of a function is always a constant.
So, d d x [f(g(x))] is a constant.
It is also known that the derivative of a constant is always equal to 1. Therefore, d dx [f(g(x))] =1 .
From this we get to know that the statement is true.
Differentiation
A method for figuring out the derivative of a function is differentiation. Differentiation is a mathematical technique for figuring out how quickly a function will change based on one of its variables.
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Why wont anyone give me just the answers when i need them?
Answers
Answer:
id.k maybe because people are busy ,
i think the same as you.
Step-by-step explanation:
m + 2 + 5mz when m= 4 and y= 10
Show your work ty
Answers
Answer:
206
Step-by-step explanation:
replace:
M(4) + 2 +5M(4)Z(10)
4 + 2 + 5(40)
4 + 2 + 200 =
206
What is the solution of 27³x=81 ?
Answers
Solution of exponential equation 27³x=81 is , \(x = \frac{1}{243}\)
What is exponential equation ?In, mathematics a exponential equation or exponential function is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa. The basic form of the exponential function can be written as .
\(a^n = x\)
where, a = the base of function
x = main expression
n = exponential
Mathematically, if \(log_ax = n\) is an logarithmic function then, this can be converted to exponential function as \(a^n = x\) .
There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.
According to given statement,
27³ x = 81
divide both side by 27³ , the equation becomes :
\(= > x = \frac{81}{27^3} \\\\= > x = \frac{3^4}{(3^3)^3}\\\\= > x = \frac{3^4}{3^9}\\\\= > x = \frac{1}{3^5} = \frac{1}{243}\)
Thus solution for this equation is \(x = \frac{1}{243}\)
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What are functions?
What is a functions?
Answers
Answer:
A function is a input value that is paired with an output value
Step-by-step explanation:
\(3q + 2p + 7\)
Answers
5q+7
Explanation
3q+2q+7
Collect like terms by adding their coefficients
(3+2)q+7
Add the numbers
5x+7
Help Me Plz 24=6a Plz
Answers
Answer:
a = 4
Step-by-step explanation:
just divide 24 by 6
a = 4
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
Answer:
If your solving for A, A=4
Step-by-step explanation:
Divide 6 on both sides
help ASAP pls
with solution too
Answers
Answer:
x = 7LM = KN = 27 cma = 7m∠K = m∠M = 53°Step-by-step explanation:
As KLMN is a parallelogram, its opposite sides are congruent.
Therefore, to find the value of x, equate LM and KN and solve for x.
\(\begin{aligned}LM &= KN\\\implies (5x-8)&=(4x-1)\\5x-8&=4x-1\\5x-8-4x&=4x-1-4x\\x-8&=-1\\x-8+8&=-1+8\\x&=7\end{aligned}\)
Therefore, the value of x is 7.
To find the length of LM and KN, substitute the found value of x into one of the expressions.
\(\begin{aligned}\implies LM=KN&=4(7)-1\\&=28-1\\&=27\;\sf cm\end{aligned}\)
Opposite angles of a parallelogram are congruent.
Therefore, to find the value of a, equate angles K and M and solve for a.
\(\begin{aligned}\angle K&=\angle M\\\implies (7a+4)^{\circ}&=(6a+11)^{\circ}\\7a+4&=6a+11\\7a+4-6a&=6a+11-6a\\a+4&=11\\a+4-4&=11-4\\a&=7\end{aligned}\)
Therefore, the value of a is 7.
To find the measure of angles K and M, substitute the found value of a into one of the expressions.
\(\begin{aligned}\implies m \angle K = m \angle M &= (6(7)+11)^{\circ}\\&= (42+11)^{\circ}\\&= 53^{\circ}\end{aligned}\)
As a result, the value of "a" is 7 as an angle and the value of "x" is 27 centimeters as a parallelogram's side.
what is parallelogram ?A parallelogram is a geometric form with four equal edges that are parallel to one another and have the same length. It is a particular kind of quadrilateral, which is a four-sided shape. The characteristics of a quadrilateral are as follows: The lengths of the opposing edges are parallel and equal. Congruent opposite points (i.e., they have the same measure). Concurrent views are helpful (i.e., they add up to 180 degrees). The diagonals cut each other in half (i.e., they intersect at their midpoint). A = base x height, where the base is any one of the parallel sides and the height is the angle between the parallel sides, gives the area of a trapezoid.
given
KLMN has identical opposites because it is a parallelogram.
As a result, equal LM and KN and then solve for x to determine the value of x.
LM = KN
5x -8 = 4x -1
x - 8 = -1
x = 7
Consequently, x has a value of 7.
In one of the equations, enter the discovered value of x to determine the lengths of LM and KN.
LM = KN = 4(7) -1
= 28 -1
= 27 cm
A parallelogram has opposite edges that are congruent.
As a result, equal angles K and M and then solve for a to determine the value of a.
(7a + 4 ) = (6a + 11)
= a+4 = 11
a = 7
Consequently, a has a value of 7.
Substitute the discovered value of an into one of the formulas to determine the measure of angles K and M.
m∠K = m∠M = (6(7) + 11)°
=(42 + 11)°
= 53°
As a result, the value of "a" is 7 as an angle and the value of "x" is 27 centimeters as a parallelogram's side.
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