The history of 100 workers who lost their employment due to technological advances is reviewed. Each worker was given an alternative job in the same​ company, found a job with another company in the same​ field, found a job in a new​ field, or has been unemployed for 1 year. In addition the union status of each worker is recorded. Complete​ (a) and​ (b).
Union Non-Union
Same Company 39 13
New Company 14 10
New Field 6 11
Unemployed 2 5
Required:
a. If the selected worker found a job with a new company in the same field, what is the probability that the worker is a union member?
b. If the worker is a union member, what is the probability that the worker has been unemployed for a year?
Based on the circumstances of the 100 workers and their union membership, the probabilities are:
Probability of worker finding new job in same field and is in union = 0.583.Probability that union worker has not been employed for a year = 0.033.What is the probability of the a new job with a union member?Number of people with jobs in new companies:
= 14 + 10
= 24
There are 24 people who have found a new job and out of them, 14 are in a union. The probability here is therefore:
= 14 / 24
= 0.583
What is the probability that a union worker has been unemployed?The number of people in a Union is:
= 39 + 14 + 6 + 2
= 61 people
Number of union people that have been unemployed is 2.
The probability here is therefore:
= 2 / 61
= 0.033.
Find out more on probabilities at https://brainly.com/question/25870256.
3 is less than w, and 8 is greater than w
Answer:
Whats the question?
Step-by-step explanation:
Srry i couldnt help
Answer: 3 < w < 8
Step-by-step explanation:
If 3 is less than w you would write that as 3 < w.
Now you have 8, which is greater than w and that is written as 8 > w or w < 8.
Therefore, 3 < w < 8
The cost c varies directly as the numbers n of pencils is written as A. c = kn B. k+ cn C. n = k/c D. c =k/n
Answer:
A. c = kn
Step-by-step explanation:
The cost c varies directly as the numbers n of pencils
This means that c is a multiplication of a constant by n, which is the number of pencils. So the equation for the cost is given by:
[tex]c = kn[/tex]
In which k is the constant of proportionality, that is, the cost of each pencil. So the correct answer is given by option A.
A circle has a central angle of 6 radians that intersects an arc of length 14in
A beverage manufacturer performs a taste-test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.3 mm. According to the formula below, what would be the volume of one of these bubbles? r = root(3, (3V)/(4s))
YALL I NEED HELP ASAP !
Answer:
the answer would be 50 rounded to the nearest ten
Step-by-step explanation:
so sorry if this is not correct °3°
okay thanks for reading :P
You deposit $3000 in an account earning 5% interest compounded monthly. How much will you have in the account in 15 years?
Answer:
9000
Step-by-step explanation:
Answer:
6236.78454 or 6236.78
Step-by-step explanation:
Use formula A=P(1+r)^t
A=3000(1+0.05)^180/12
*convert 15 years to moths* 180 months
A=3000(1.05)^180/12
A=3000(2.07892818 )
A=6236.78454 or 6236.78
Hope this helps ^-^
please help !!!! Compare the table and equation.
x y
4 12
5 15
6 18
Equation: y = 3x
Which representation has the greatest slope?
A. The table and equation have the same slope.
B. Their slopes cannot be determined.
C. The equation has the greatest slope.
D. The table has the greatest slope.
Answer
I think A or c
Step-by-step explanation:
Your answer to this would be A, The table and equation of the same slope.
To find this, just divide Y by X. For ex, this could look something like 12 divided 4, 15 divided by 5, or 18 divided by 6.
To figure this out too, you can plug in the X and Y components into the equation to see if it checks out.
If you need any further help, please do not hesitate to ask or message me!!
Adult tickets cost $9 each and student tickets cost $6 each. A total of 29 tickets were sold worth $210. How many adult tickets were sold?
Answer: 12 adult tickets where sold
Step-by-step explanation:
Which of the following is a solution to the inequality below?
10b≤ 59
A.) b=2
B.) b=7
C.) b=11
D.) b=9
Answer:
A.) b=2
Step-by-step explanation:
10b ≤ 59
Divide both sides by 10.
b ≤ 5.9
Any number that is 5.9 or less than 5.9 is a solution.
The only such number in the choices is 2.
Answer: A.) b=2
For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2+5
Answer:
honestly I don't know the answer
does anyone know how to do this?
Answer:
90
Step-by-step explanation:
77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong
Automated electron backscattered diffraction is now being used in the study of fracture phenomena. The following information is on misorientation angle (degrees).
Class: 0−<5 5−<10 10−<15 15−<20 20−<30 30−<40 40−<60 60−<90 Rel freq: 0.176 0.169 0.179 0.139 0.193 0.075 0.040 0.029
A) What proportion of the sampled angles are at least 30°? (Round your answer to three decimal places.)
B) Roughly what proportion of angles are between 10° and 25°? (Round your answer to three decimal places.)
C) Construct a histogram. Comment on any interesting features. Select all that apply
1. There are two obvious outliers.
2. Without more precise information, we cannot tell if the data contain outliers.
3. The distribution of misorientation angles is approximately symmetric.
4. The distribution of misorientation angles is heavily negatively skewed.
5. The distribution of misorientation angles is heavily positively skewed.
6. The distribution of misorientation angles is bimodal.
Answer:
Step-by-step explanation:
From the information given:
Classes Relative Frequency
0 - < 5 0.176
5 - < 10 0.169
10 - < 15 0.179
15 - < 20 0.139
20 - < 30 0.193
30 - < 40 0.075
40 - < 60 0.040
60 - < 90 0.029
1
(a)
So from above; the proportion of samples that are at least 30° can be computed as:
P(at least 30°) = (0.075 + 0.040 + 0.029)
P(at least 30°) = 0.144
(b)
The proportion of angles between 10° and 25° = (0.179 + 0.139 + 0.193)
= 0.511
(c) The histogram is constructed by using the EXCEL. The step in making the histogram include;
Insert the class and relative frequency as a data set in the excel sheetSelect relative frequencychoose insertselect chartchose 2-D column(make sure you choose the first option)select bars and tap format series, then adjust the gaps.From the histogram, the chart doesn't show an outlier. The relative frequency is not also symmetrically distributed relating to the class due to the fact that the histogram does not possess a bell shape curve. Finally, we cannot determine if the distribution is positively skewed or negatively skewed because the distribution is bimodal.
6. The distribution of misorientation angles is bimodal.
help me out please :(?
Answer:
3x2+15x=18
Step 1: Subtract 18 from both sides.
3x2+15x−18=18−18
3x2+15x−18=0
Step 2: Factor left side of equation.
3(x−1)(x+6)=0
Step 3: Set factors equal to 0.
x−1=0 or x+6=0
x=1 or x=−6
Answer:
A
I worked them out myself so if their wrong uh please don't get mad I tried my best.
Step-by-step explanation:
3x (2) + 15x = 18 3x (2) + 15x = 18
6x + 15x = 18 6x + 15x = 18
-6x + -6x = 18 -18 -18
-------------------------- ------------------------
0 + 9x = 18 6x + -3 = 0
------ ------- -3 + -3
18 18 --------------------
x = 2 -3 + 0
X = -3
Eliana worked 16 1/2 hours for the first week of the month and 16 1/4 hours the second week of the month. Her pay for these 2 weeks was $412.65. How much did Eliana earn per hour?
Answer:
She earned $12.60 per hour
Step-by-step explanation:
Pay was $412.65
Hours worked = 16.5 + 16.25 = 32.75 hrs
hourly rate = $$/hrs = 412.65/32.75 = 12.6
She earned $12.60 per hour
Graph identify the solution. y =-3/5x-3. y=3
Answer:
X= -10
Step-by-step explanation:
To eliminate the x terms and solve for y in the fewest steps, by which constants should the equations be multiplied by before adding the equations together? First equation: 6x -5y = 17 Second equation: 7x + 3y = 11 The first equation should be multiplied by 3 and the second equation by -5. The first equation should be multiplied by 3 and the second equation by 5. The first equation should be multiplied by 7 and the second equation by -6. The first equation should be multiplied by 7 and the second equation by 6.
Answer:
its c
Step-by-step explanation:
i did the test
The first equation should be multiplied by 7 and the second equation by -6. The correct option is C.
What is an expression?In mathematics, an expression is a group of symbols (variables, constants, and mathematical operations) used to represent a quantity or a relationship between two numbers.
In order to eliminate the x terms and find y in the fewest steps feasible, the equations should be multiplied by constants such that the coefficient of x in one equation is equal to the negative coefficient of x in the other.
The coefficients of x in the first and second equations in this situation are 6 and 7, respectively. To make these coefficients opposite in sign, we can multiply the first equation by 7 and the second equation by -6.
The correct solution is obtained by multiplying the first equation by 7 and the second equation by -6.
To know more about an expression follow
https://brainly.com/question/21813010
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Which graph represents the function?
f(x)=x+2‾‾‾‾‾√3
Answer:
the correct answer is the last one to the right side
Answer:
Equation :
f(x) = ³√x+2
The fourth option.See image.
I hope the image helps.
Write 22 as a product of three primes
For a 5 star rating and heart/thanks
I’ll mark u as brainliest!!! Where could point E be located on the coordinate plane ?
It is located in quadrant 4 hope this helps
yup if I'm not mistaken it's supposed to be iv
Distribute. 8(x+30)+5
Answer:
8x + 245
Step-by-step explanation:
8(x + 30) + 5
8x + 240 +5
8x + 245
good luck, i hope this helps :)
The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rectangle?
Answer:
6
Step-by-step explanation:
W=L-2
A=L*W
48=L(L-2)
48=L^2-2L
You factor and then you get L=8
W=8-2=6
j < –0.65 The variable in the inequality is .
Answer:
NO SE PERO LOS AMO A TODOS CHIKISTRIKIS
Step-by-step explanation:
SORRY NO SPEAK ENGLISH
3(x + y) (2x - 3y) + (x + y)×2 factorize
Answer:
(x + y) (6 x - 9 y + 2)
6 x^2 - 3 x y + 2 x - 9 y^2 + 2 y
1\/24 (12 x - 3 y + 2)^2 + 1\/24 (-225 y^2 + 60 y - 4)
Step-by-step explanation:
its one of these 3 answers
Reasoning : The equation below describes a proportional relationship between x and y. What is the
constant of proportionality? Use pencil and paper. Explain why your answer is called the "constant of
proportionality."
y = 7.87x
Answer:
The constant of proportionality is 7.87.
Step-by-step explanation:
The relation between x and y is given by the equation :
y = 7.87x
y is directly proportional to x i.e.
y ∝ x
To remove the constant of proportionality, a constant 7.87 is inserted. Hence, the constant of proportionality is 7.87.
Prove that
sinAtanA/1-cosA
= 1 + SECA
Answer:
The proof is done in the step-by-step explanation below.
Step-by-step explanation:
We are given the following identity:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}}[/tex]
And we have to show that this is equals to:
[tex]1 + \sec{A}[/tex]
Multiplying numerator and denominator by the conjugate of the denominator:
[tex]\frac{\sin{A}\tan{A}}{1-\cos{A}} \times \frac{1+\cos{A}}{1+\cos{A}}[/tex]
[tex]\frac{\sin{A}\tan{A}(1+\cos{A})}{1 - \cos^2{A}}[/tex]
We use these following identities:
[tex]\sin^2{A} + \cos^2{A} = 1[/tex]
So
[tex]1 - \cos^2{A} = \sin^2{A}[/tex]
Also:
[tex]\tan{A} = \frac{\sin{A}}{\cos{A}}[/tex]
Then
[tex]\frac{\sin{A}\sin{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{\sin^2{A}(1+\cos{A})}{\cos{A}\sin^2{A}}[/tex]
[tex]\frac{1 + \cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + \frac{\cos{A}}{\cos{A}}[/tex]
[tex]\frac{1}{\cos{A}} + 1[/tex]
Since:
[tex]\sec{A} = \frac{1}{\cos{A}}[/tex]
We have that:
[tex]1 + \sec{A}[/tex]
Thus, the proof is done.
Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)
Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
Solve:
Three less than the product of eight thirds and nine.
Pls HELP ME
Answer:
21Step-by-step explanation:
Product of eight thirds and nine:
8/3×9 = 24Three less than the product of eight thirds and nine:
24 - 3 = 21what slope equation is parallel to y=5x-10
Answer:
y = 5x + (anything except negative 10)
For example:
y = 5x + 5
Step-by-step explanation:
A parallel equation is any equation with the same slope, but a different y intercept. As long as your y intercept isn't - 10, your answer will be parallel.
Please answer these questions on circumference for BRAINLIEST and extra points if correct!
Answer:
1 a: 1.46
2 a : .73
3 a : 1.54
____
1 b: 9.42
2 b: 2.9
3 b: 16.96
- I hope that helps :)
Step-by-step explanation: