A government agency has 6000 employees. As an alternative to the traditional five day work week, employees were asked whether they preferred a four day work week (10 hours per day) or flexible hours. The employee data provides the results by age category. What is the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30
Answers
The table showing the data is missing, so i have attached it.
Answer:
0.8
Step-by-step explanation:
We want to find the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30.
Now, we are told that the government agency has 6000 employees. Also, from the attached table, we see that the number of people who prefer a 4 day work week are a total of:
600 + 1200 + 2100 = 3900
Thus, probability of people who prefer a 4 day work week = 3900/6000 = 39/60
Also, we see that total number of people aged under 30 = 600 + 300 = 900
Thus, probability of people aged under 30 is;
900/6000 = 3/20
Thus;
probability that a randomly selected employee at this government agency prefers a four day work week or is under 30 = 39/60 + 3/20 = 48/60 = 4/5 = 0.8
Related Questions
find the value of the following expression 9(-4) over -3
Answers
Answer:
Look below
Step-by-step explanation:
9(-4) is the same as 9*(-4) so it equals -36.
-36/-3=positive 12 so ye. The answer is 12
4. Solve x -- 7 = 25.
A 18
B 32
Answers
Answer:
B
Step-by-step explanation:
b okay it b good
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The model at the right best represents what percent?
Answers
Answer:
hehe ily tacos hehehhee
Step-by-step explanation:
Answer:
65% out of 100%
Step-by-step explanation:
hope this helps! :)
Can you help me out!
Answers
Answer:
Step-by-step explanation:
Cube root of 27/cube root of 125
=3/5
Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
Save and Exit
Next
Submit
Mark this and return
Answers
Answer: C D B
Step-by-step explanation:
JUST TOOK THE TEST ON ENDEGENUITYYYYY
The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.What are ratios?Ratios are fractional values representing relations between two quantities.
What are proportions?When two ratios are equal, they are said to be in proportion.
What is a scale factor?The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.
How to solve the given question?In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.
We analyze each statement:
Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.∴ The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.Learn more about Proportions at
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SOMEONE HELP WHAT IS THE ANSWER TO THESE QUESTIONS PLEASE HELP
Answers
Answer: 42° and 138°
Steps: First find value of x by adding both equations and setting them equal to 180°:
3x + 12x - 30 = 180
15x - 30 = 180
15x = 210
x = 14
Next, put value of x into equations to find the angle:
3x
3(14)
42°
12x - 30
12(14) - 30
168 - 30
138°
11. Answer: 28°
Steps: Complementary angles add up to 90°, so subtract 62° from 90° to find its complementary angle.
90 - 62 = 28
12. Answer: Corresponding angles are congruent.
jimmy has a pool sixteen feet wide and twelve feet long how much material does he need to cover the pool
Answers
Answer:
192 square feet of material
Step-by-step explanation:
You find the area of the pool, which is length x width, and that is 12 x 16, which is equal to 192
I hope this helps!
Answer:
16 x 12=192
Step-by-step explanation:
What is 4-9+(-6)?????????
Answers
Answer:
it's -11
Step-by-step explanation:
hope this helped
Answer:
-11
Step-by-step explanation:
Problem: 4-9+(-6)
First: 4-9
Second: -5+(-6)
Answer: -11
Solve 2x−1<4 and −5x−3>−3 and write the solution in interval notation. If there is no solution, type ∅.
Answers
2x - 1 < 4
First, let's add 1 to both sides.
2x < 5
Divide both sides by 2
x < 5/2 or (-∞, [tex]\frac{5}{2}[/tex])
-5x - 3 > -3
Add 3 to both sides.
-5x > 0
Divide both sides by -5
x < 0 or (-∞, 0)
The solution set of the given set of linear inequations 2x - 1 < 4 and -5x - 3 < -3 is [tex]\left ( -\infty , 0 \right )[/tex].
What are equations and inequations?Algebraic expressions can be related to each other in many ways. When two expressions are equal to each other, they are called equations and are represented with an equal sign between them (=). When two expressions are not equal, they are called inequations and are represented by non-equal signs between them (>, <, ≥, ≤).
How to solve the given question?In the question, we are asked to solve the given inequations:
2x - 1 < 4 ... (i), and -5x -3 > -3 ... (ii).
First, we will solve (i), in the following ways:
2x - 1 < 4.
or, 2x - 1 + 1 < 4 + 1 (Adding 1 to both sides of the inequation)
or, 2x < 5 (Simplifying)
or, 2x/2 < 5/2 (Dividing both sides of the inequation by 2)
or, x < 5/2 (Simplifying)
or, x ∈ [tex]\left ( -\infty , \frac{5}{2} \right )[/tex] ...(iii)
Now, we will solve (ii), in the following ways:
-5x -3 > -3.
or, -5x - 3 + 3 > -3 + 3 (Adding 3 to both sides of the inequation)
or, -5x > 0 (Simplifying)
or, -5x/(-5) < 0/(-5) (Dividing both sides of the inequation by -5, sign of the inequality reverses as we are dividing by a negative number)
or, x < 0 (Simplifying)
or, x ∈ [tex]\left ( -\infty , 0 \right )[/tex] ...(iv)
For the solution set, we need the intersection of (iii) and (iv)
[tex]\left ( -\infty , \frac{5}{2} \right )[/tex] ∩ [tex]\left ( -\infty , 0 \right )[/tex]
= [tex]\left ( -\infty , 0 \right )[/tex]
∴ The solution set of the given set of linear inequations 2x - 1 < 4 and -5x - 3 < -3 is [tex]\left ( -\infty , 0 \right )[/tex].
Learn more about the linear inequations at
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HELP ASAP PLEASEEEEE Use the given D to find the range of each function:
f
g(x)=−3x to the power of 2−4, D={−1, 2, 3}
Answers
Answer:
do your own homework
Step-by-step explanation:
1. listen to the teacher
2.ask alexa
dont ask me
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Find the unit rate of 90 miles/2 hours, IN FEET PER SECOND! can you please do it step by step plz?
Answers
Answer:
45, 90/2 equals 45. everytime you need to find it you do miles/hours
A carpenter makes wooden chairs.
He has enough wood to make 30 chairs.
He makes $60 profit on a dining chair and $90 profit on a rocking chair.
It takes him 1 hour to make a dining chair and 2 hours to make a rocking chair.
He only has 40 hours available to work on the chairs.
The carpenter wants to maximize his profit given the constraints. He draws the graph below to represent this situation.
Answers
Answer:
Is there supposed to be a graph somewhere?
Find the derivative of the function. y = tan2(8θ)
Answers
Answer:
16tan(8θ)sec²(8θ)
Step-by-step explanation:
Given the question :
Find the derivative of the function. y = tan2(8θ)
y = tan²(8θ)
USing chain rule :
dy/dx = (du/dx) × (dv/du) × (dy/dv)
Let u = 8θ ; du/dθ = 8
v = tan u ; dv/du = sec²u
y = v² ; dy/dv = 2v
Hence,
(dy/dθ) × dv/du × dy/dv
8 * sec²u * 2v
Where v = tan u ; u = 8θ
8 * sec²8θ * 2tan8θ
16tan(8θ)sec²(8θ)
I need help bad........
Answers
Answer:
I hope this helps tell me if I'm correct
A rectangle has an area of 48ft2 and a width of 6 ft. What it’s length??
Answers
Answer:
the length would be 8ft
hope i helped you
Does this graph represent a function? Why or why not?
Answers
Answer:
D
Step-by-step explanation:
There are no two points on the same line so the answer is D
I hope this is right!
Answer: It's B
Step-by-step explanation:
The water level in a pool drops 8 iches in a day so what is the average level drop in each hour
Answers
33. Find x
7 cm
15 cm
x
Answers
Answer:
(28√11 )
_______
15
Step-by-step explanation:
Answer:
x=13.2665 cm
Step-by-step explanation:
7²+x²=15²
49+x²=225
x²=225-49
x²=176
x=√176
x=13.2665
Which of the following expressions is the inverse of the function y = 2x − 6?
Answers
Answer:
[tex] x = \frac{1}{2} y + 3[/tex]
Step-by-step explanation:
[tex]y = 2x - 6 \\ y + 6 = 2x \\ \frac{y + 6}{2} = x \\ \frac{y}{2} + 3 = x \\ \huge \red{ \boxed {x = \frac{1}{2} y + 3}}[/tex]
i need help i’m stuck on this one
Answers
Answer:
i would say the 2nd or 3rd on bc that is kinda confusing
What is 10% of 344?
Answers
Answer:
34.4
Step-by-step explanation:
10% is the same thing as 0.1 so 344 times 0.1 is 34.4
A percent (%) is equal to 1/100 (We actually don't call that 'per''cent' for no reason)
So 10% is actually 10 times % which is:
[tex]10\% \\ 10(\frac{1}{100}) \\ \frac{10}{100} \\ \frac{1}{10}[/tex]
If you get a calculator and calculate 1/10 the calculator should give 0.1
You might be taught that to get the decimal form from percent you just move the decimal point to the left twice (like 34% -----> .34) but if you do this, you are essentially dividing by 100 or multiplying by 1/100
now you know 10% is 0.1 the next thing to do is multiply it to 344.
[tex]344(\frac{1}{10}) \\ \frac{344}{10} \\ 34.4[/tex]
Answer:
34.4
Step-by-step explanation:
344 x 1/10 = 34.4
will give braineliest can anyone explain and answer this i reallllllly need help i will love you forever:) √5(8+3√6)
Answers
Answer:
34.3202205452Step-by-step explanation:
Using the product rule for radicals and the fact that multiplication is commutative, we can multiply the coefficients and the radicands as follows.
Use the distributive property when multiplying rational expressions with more than one term.
Hi There!!
I think your answer is:
[tex]\sqrt[8]{5}+ \sqrt[3]{30}[/tex]
I'm not sure this 100% right....
[tex]\sqrt{HopeThisHelps}[/tex]
[tex]Loserbrazts[/tex]
ヾ(•ω•`)o
The square of a number is that number ___________________________________. The square of an integer is a _________________________.
The square of negative 12 is written as _______________. The opposite of the square of 12 is written as ______________.
2 • 2 = 4. Another number that can be multiplied by itself to equal 4 is _______.
2. Fill in the blanks with square root or principal square root.
A ___________________________________ is a number that produces a given number when it is multiplied by itself.
The ___________________________________ is the positive square root of a number and is shown using the radical symbol, √.
3. Complete the table to describe perfect cubes.
Definition A number multiplied by itself _______ times.
Examples 13 = 1 • 1 • 1 = _____
23 = _____ • _____ • _____ = 8
_____3 = 4 • 4 • 4 = _____
4. Answer the questions about cube roots.
What is a cube root?
Use the radical symbol to represent the cube root of 8.
What is the cube root of –8?
Main idea: Solving equations by taking the square root
5. Complete the steps to show how to solve x2 = 36.
6. Answer the questions about Ally's web page icons as you work through the problem in the study.
Each icon contains 1024 pixels arranged in rows. What does p represent in the equation p2 = 1024?
What is the first step in solving p2 = 1024?
Why doesn't the solution p = –32 make sense for this problem?
Main idea: Solving equations by taking the cube root
7. Solving an equation in the form x3 = p is similar to solving equations with squared terms. Complete the table to show the differences.
x2 = p x3 = p
To solve: Take the square root.
Number of solutions and their sign(s): Two solutions. One is positive and one is negative.
Example:
8. Answer the questions about Tanisha's baking supply container as you work through the problem in the study.
The volume of the salt container is 125 cm3. What does x represent in the equation x3 = 125?
What is the first step in solving x3 = 125?
Is x = –5 a solution to the equation? Why or why not?
Key Terms
Use this table to write definitions for the key terms from this activity in your own words. If you're confident you know a term, put a check mark next to it and move on.
Key Term Definition
cube
cube root
integer
inverse operations
perfect square
principal square root
square
square root
I
Answers
Did you just copy and paste your assignment??
If yes, please do not do such a thing and give it in a question by question basis, sorry but I can't type such a big one. Suggestion!!
The triangle shown is rotated 90 counterclockwise about the orgin what are the new coordinates of point A
Answers
Answer:
its A (2, 1 ) → A'(- 1, 2 )
Step-by-step explanation:
took test :)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
What is rotation?Rotation can be stated as the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwiseIt requires rotation implies negative magnitudeA counter clockwise turns has a positive magnitude.here, we have,
given that,
Vertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)
Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
To know more about rotation
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M=3 what is (5m-m3)+m(9m-25)=
Answers
Answer:
-6Step-by-step explanation:
[tex](5m-m^3)+m(9m-25)\\\\m =3[/tex]
Substitute : m=3 into the given equation
[tex](5(3)-(3)^3)+3(9(3)-25)\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(5\left(3\right)-\\\left(3\right)^3\right)\::\quad -12\\\\=-12+3\left(9\left(3\right)-25\right)\\\\\mathrm{Calculate\:within\:parentheses}\:\left(9\left(3\right)-25\right)\::\quad 2\\=-12+3\times\:2\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:3\times\:2\::\quad 6\\=-12+6\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:-12+6\:\\:\quad -6[/tex]
The copper content of 18-carat gold was measured by two methods for six different samples collected from a jewelry production plant. Sample Method 1 Method 2 A 2.2% 2.5% B 1.8% 2.2% C 2.5% 3.0% D 3.0% 3.2% E 2.6% 2.3% F 2.6% 2.7% Which test would you use to determine if the results obtained by the two methods agree within experimental error?
Answers
Full question attached
Answer:
Paired t test
Explanation:
The paired sample t test is used to measure or compare the mean of two observations or samples by measuring each subject two times as is seen above with the gold measurement which would result in two sets or pair of samples in a statistical procedure. We observe from the question that we measure each gold with two methods and then compare result of the two methods in terms of their mean error using the paired t test.
Identify each of the following variables as qualitative or quantitative. a. Favorite baby name b. Color of car c. Storage space on a computer drive d. Electrical current a. Is the variable qualitative or quantitative? Why? A. Favorite baby name is a qualitative variable. Its values are numerical. B. Favorite baby name is a quantitative variable. Its values are numerical. C. Favorite baby name is a qualitative variable. Its values are not numerical. D. Favorite baby name is a quantitative variable. Its values are not numerical.
Answers
Answer:
C. Favorite baby name is a qualitative variable. Its values are not numerical.
Color of car is a qualitative variable. Its values are not numerical.
Storage space on a computer drive is a quantitative variable. Its values are numerical.
Electrical current is a quantitative variable. Its values are numerical.
Step-by-step explanation:
A qualitative variable is a variable that is categorical and isn't numerical.
For example, your favourite baby names and colours are categorical, they cannot be measured on a numerical scale
Quantitative Variable are variables that can be measured on a numeric scale. Ordinal, interval and ratio scales are quantitative scales.
Storage space can be measured on a numeric scale e.g. the storage space has 400 GB
Electric current can be measured on a numeric scale e.g. eclectic current is 50 volts
2/5 y - 4 + 7 - 9/10 y
Answers
Answer:
-1/2y +3
Step-by-step explanation:
2/5y -4 + 7 -9/10y=
combine like terms
-1/2y +3
A bowl contains blueberry and strawberry there are a total of 10 berries in the bowl The ratio of blueberry to strawberry is 2 for every 3 how many of each berry are in each bowl
Answers
Answer:
4 blueberries and 6 strawberries
Step-by-step explanation:
Need help writing an equation and solving! A concert hall has seven sections. Each section has 23 rows. Each row has 14 seats. If the theater sells out for a particular performance, how many people attended? If the average tickets sold for $20, how much was collected at the box office?
Answers
Answer:
322 people attended and made $6440
Step-by-step explanation:
23 x 14 = 322
322 x 20 = 6440