Corrected Question
a. Develop a probability distribution for the job satisfaction score of a senior executive.
b. Develop a probability distribution for the job satisfaction score of a middle manager.
c. What is the probability a senior executive will report a job satisfaction score of 4 or 5?
d. What is the probability a middle manager is very satisfied?
Answer:
(c)0.83
(d)0.28
Step-by-step explanation:
The percent frequency distributions of job satisfaction scores os give below:
\(\left|\begin{array}{c|c|c}$Job Satisfaction Score&$IS Senior Executives(\%)&$IS Middle Managers(\%)\\1&5&4\\2&9&10\\3&3&12\\4&42&46\\5&41&28\end{array}\right|\)
(a)Probability distribution for the job satisfaction score of a senior executive.
\(\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_1(x))\\------&------\\1&0.05\\2&0.09\\3&0.03\\4&0.42\\5&0.41\end{array}\right|\)
(b)Probability distribution for the job satisfaction score of a middle manager.
\(\left|\begin{array}{c|c}$Job Satisfaction Score&$Relative Frequency (f_2(x))\\1&0.04\\2&0.10\\3&0.12\\4&0.46\\5&0.28\end{array}\right|\)
(c)Probability a senior executive will report a job satisfaction score of 4 or 5
P(a senior executive will report a job satisfaction score of 4 or 5)
\(=f_1(4)+f_1(5)\\=0.42+0.41\\=0.83\)
(d)Probability a middle manager is very satisfied
The probability a middle manager is very satisfied
\(=f_2(5)\\=0.28\)
multiply express your anwser in simplest form
Answer:
1/6
Step-by-step explanation:
9: 9,18,27,36,45,54,63,72,81,90
10: 10,20,30,40,50,60,70,80,90,100
Since, 90 is the LCM of 9 and 10 that turns into your denominater then your equation turns into this...
5/90 x 3/90
The denomineter stays the same so you get 90 then 5 x 3 equals 15 so you get 15 and in total that gives you 15/90. Divide the top and bottom by the greatest number that will divide both numbers exactly which gives you 1/6
HOPE THIS HELPED :D
Determine the domain of the function. f as a function of x is equal to the square root of two minus x.
x ≤ 2
All real numbers
x > 2
All real numbers except 2
Answer:
A. x <= 2
Step-by-step explanation:
The domain of a real function should be all real numbers. In
f(x) = sqrt(2-x)
we need 2-x to be non-negative, therefore
2-x >= 0
which implies
x <= 2
Answer:
\(\Huge \boxed{{x\leq 2}}\)
Step-by-step explanation:
The function is given,
\(f(x)=\sqrt{2-x}\)
The domain of a function are all possible values of x.
There are restrictions for the value of x.
2 - x cannot be equal to a negative number, because the square root of a negative number is undefined. 2 - x has to equal to 0 or be greater than 0.
\(2-x\geq 0\)
\(-x\geq -2\)
\(x\leq 2\)
The domain of the function is x ≤ 2.
find two consecutive whole numbers that square root 137 lies between
Answer: 137 lies between 136 and 138
Hope this helps!!
Answer:
11 and 12
Step-by-step explanation:
The square root of 137 lies between 11 and 12 because 11^2 = 121 and 12^2 = 144. 137 lies between 121 and 144.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
~ ren ⚘
What are the like terms in the expression 6x + 9 – 4x – y - 8
Answer:
6x and -4x
9 and -8
Step-by-step explanation:
As you can see, both of the numbers at the top have a variable x. Both of the numbers at the bottom have no variable. These are two pairs of like terms because they either have the same variable or no variable at all.
A Ferris wheel can accommodate 60 people in 20 minutes. How many people could ride the Ferris wheel in 6 hours?
people in 6 hours
What was the rate per hour?
people per hour
Answer: 180 per hour, 1080 per 6 hours
Step-by-step explanation:
I WILL GIVE BRAINLIEST! PLEASE HURRY
Answer:
it's the thrid one as 30% is correct
Answer:
More than 30% of the students surveyed chose Red as their favorite color
Step-by-step explanation:
LOOK AT THE BOTTOM PLEASE BE RIGHT
Answer:
236i217621
Step-by-step explanation:i didi it
900 students attend Ridgewood Junior High School. 2% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
The number of students who brought lunch on Thursday is 18 students.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying it by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Number of students = 900
Number of students that brought lunch = 2% of 900
The number of students who brought lunch on Thursday.
= 2% of 900
= 2/100 x 900
2 x 9
= 18 students.
Thus,
The number of students who brought lunch on Thursday is 18 students.
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You have a square that has a side length of $1$ centimeter. Each minute, $2$ centimeters are added to the side length. After $10$ minutes, what will be the difference between the area of the last square and the area of the initial square in square centimeters (do not include the units in your answer)?
Answer:
Difference in area of the last square and the initial square = 440 cm²
Step-by-step explanation:
Length of the side of a square = 1 cm
Area of the square = (side)² = 1 cm²
Addition of side length every minute = 2 cm
After x minutes length of each side of the square = (1 + 2x) cm
If x = 10 minutes
Length of each side of the square = [1 + 2(10)]
= 21 cm
Area of the square after 10 minutes = (21)²
= 441 cm²
Therefore, difference in area of the last square and area of the initial square
= 441 - 1
= 440 cm²
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Evaluate the expression (3-2)2 (3.2) = 11
I believe the answer is 6.4 = 11.
WILL GIVE THE BRAINLIEST!!!!
Which of the following statements is the converse of the statement, "If each of two angles has a measure of 28 degrees, then the two angles are equal in measure"? If two angles have equal measures, then the measure of each is 28 degrees. If two angles do not have equal measures, then each of the two angles does not have a measure of 28 degrees. If each of two angles does not have a measure of 28 degrees, then the two angles do not have equal measures. If each of two angles does not have a measure of 28 degrees, then the two angles have equal measures.
Answer:
I dont know
Step-by-step explanation:
50 points for 3 questions. solve and explain please.
(1) The value of x is determined as 16.8.
(2) The measure of length VX is calculated as 4.1.
(3) The measure of angle UWV is 69.5⁰.
What is the value of the missing lengths of the triangle?
The value of the missing lengths of the triangle is calculated by applying the following formula;
(1) For the two similar triangles, the value of x is calculated as follows;
20 / (28 - x) = 30 / x
20x = 30 (28 - x )
20x = 840 - 30x
20x + 30x = 840
50x = 840
x = 840 / 50
x = 16.8
(2) The measure of length VX is calculated by applying trig ratios.
tan 63 = 8 / VX
VX = 8 / tan 63
VX = 4.1
(3) The measure of angle UWV is calculated as follows;
angle T = 360 - (94 + 127) = 139
angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)
angle UWV = 69.5⁰
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There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble?
25%
62.5%
20%
41.7%
Answer:
20%
Step-by-step explanation:
The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:
P(red) = number of red marbles / total number of marbles
P(red) = 5 / (5 + 8 + 12)
P(red) = 5 / 25
P(red) = 0.2
So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).
Jason cuts out a square. If he rotates it along the edge labeled s, what three-dimensional shape is formed?
The three-dimensional shape is formed would be as; rectangle
Consider the square that has to be rotated about the axis as shown in the picture.
In the attached diagrams this square is black rectangle ABCD.
While rotating each point of the square will describe the circle. The circles with the greatest radii will be circles made by the points from the side that is opposite to the side on the axis of rotation.
We can take that point in any of the two surrounding quadrants. Example, if the point is on the positive x axis, then it can taken as of first quadrant or fourth quadrant.
The formed figure appears to be a rectangle.
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Determine which translations would map Figure
W onto Figure X
The sequence of steps that translates figure W to figure X are -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.Refer to the image attached. It shows figure W and figure X. We can write the sequence of steps for the given translation as -
It is first shifted by the rule (x, y) → (x, y - 3)The image is then reflected across the y - axis.The image is then reflected across the x - axis.To solve more questions on translations, visit the link-
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Simplify the expression:
- 3+ 40 - 80 ->
Answer:
-3 + 40 - 80 = -43
hope it helps
Simplify[(2x)^x(2x)^(2x)]^(1/x)
We have the expression above
we will use two of the laws of exponents in order to simplify the expression
\(x^m\cdot x^n=x^{m+n}\)\((x^m)^n=x^{m\cdot n}\)using these two laws we will have
\(\begin{gathered} \lbrack(2x)^x(2x)^{2x}\rbrack^{\frac{1}{x}}=\lbrack(2x)^{x+2x}\rbrack^{\frac{1}{x}}=\lbrack(2x)^{3x}\rbrack^{\frac{1}{x}}=(2x)^{3x\cdot\frac{1}{x}}=(2x)^3=2^3x^3 \\ =8x^3 \end{gathered}\)the simplification is
\(\lbrack(2x)^x(2x)^{2x}\rbrack^{\frac{1}{x}}=8x^3\)Teceives an ) After giving two fifths of her coins to her sister, Thao receives another 4 coins for her birthday. She now has 16 coins. How many coins did she have originally?
The result is 16, which matches the information given in the problem. Thus, our solution is correct. Thao originally had 30 coins.
Let's solve this problem step by step.
Let's assume the number of coins Thao originally had is x.
According to the problem, Thao gives two fifths of her coins to her sister. Two fifths of x can be represented as (2/5)x.
After giving away two fifths of her coins, Thao receives 4 coins for her birthday. So, the number of coins she has now is (2/5)x + 4.
The problem states that she now has 16 coins. Therefore, we can set up the following equation:
(2/5)x + 4 = 16
To solve for x, we need to isolate x on one side of the equation. We can start by subtracting 4 from both sides:
(2/5)x = 16 - 4
(2/5)x = 12
To get rid of the fraction, we can multiply both sides of the equation by 5:
5 * (2/5)x = 5 * 12
2x = 60
Next, divide both sides of the equation by 2 to solve for x:
(2x)/2 = 60/2
x = 30
Therefore, Thao originally had 30 coins.
To verify our answer, we can substitute x = 30 back into the equation (2/5)x + 4 and see if it equals 16:
(2/5) * 30 + 4 = 12 + 4 = 16
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find de product of 15 and 107
Answer:
\(15 \times 107 = 1605\)
Answer:
1605
Step-by-step explanation:
1) In math, the Product is the answer to a Multiplication Problem
2) This means that we need to find the answer to 15 x 107
3) 15 x 107 means we are looking for what the answer will be if we add 15 to itself 107 times
4) An easy way to do this is plugging these numbers into a calculator.
15 x 107 = 1605
5) Another way to solve this is by expanding the numbers using a bracket
15 x 107
15 × ( 100 + 7)
15 x 100 + 15 x 7
1500 + 105
= 1605
How many miles does he run in one year
Answer Key:
1. Since the question says Mr. Smith runs 2.7 miles every day of the week, you will need to multiply it with 365, the days of the year. The total answer you would get D. 985.5 miles.
| I just want to help you with #2 anyway
An English teacher needs to pick 10 books to put on her reading list for the next school year, and she needs to plan the order in which they should be read. She has narrowed down her choices to 4 novels, 6 plays, 8 poetry books, and 4 nonfiction books. Step 1 of 2 : If she wants to include no more than 3 poetry books, how many different reading schedules are possible? Express your answer in scientific notation rounding to the hundredths place.
Answer:
the number of possible reading schedules is 1.064301638 × 10¹²
Step-by-step explanation:
Given that :
The English teacher needs to pick 10 books to put on her reading list for the next school year.
If the English teacher picks at most 3 poetry books i.e no more than 3 poetry books from 8 books. and other books are picked from (6+4+4 ) = 14 books
Thus; the number of ways to pick the books are :
\(\left[\begin{array}{c}8\\0\\ \end{array}\right] \ \left[\begin{array}{c}14\\10\\ \end{array}\right]+ \left[\begin{array}{c}8\\1\\ \end{array}\right] \left[\begin{array}{c}14\\9\\ \end{array}\right] + \left[\begin{array}{c}8\\2\\ \end{array}\right] \left[\begin{array}{c}14\\8\\ \end{array}\right] + \left[\begin{array}{c}8\\3\\ \end{array}\right] \left[\begin{array}{c}14\\7 \\ \end{array}\right]\)
\(= [ \dfrac{8!}{0!(8-0)!}* \dfrac{14!}{10!(14-10!)} ] + [ \dfrac{8!}{1!(8-1)!}* \dfrac{14!}{9!(14-9)!}]+ [ \dfrac{8!}{2!(8-2)!}* \dfrac{14!}{8!(14-8)!}] + [ \dfrac{8!}{3!(8-3)!}* \dfrac{14!}{7!(14-7)!}]\)
\(= [ 1*1001]+[8*2002]+[28*3003]+[56*3432]\)
\(\mathbf{= 293293}\)
However, to determine how many reading schedules that are possible we use the relation:
Number of ways to pick a book × \(^{10}P_{10}\)
\(= 293293* \dfrac{10!}{(10-10)!}\)
= 293293 × 10!
= 1.064301638 × 10¹²
Thus , the number of possible reading schedules is 1.064301638 × 10¹²
There
are five marbles in
a bag. Three are green and
two are yellow. You draw a
marble, replace it, and then
Draw another. What is the
probability of choosing two
yellow marbles?
Answer:
like 20 percent
Dividing fractions word problems, please help I need it........
Answer:
25
Step-by-step explanation:
l x w = h
25 x 7.2 = 180
Write the coordinates of the vertices after a rotation 90° clockwise around the origin. If B=(-7, 0), C=(-1, 0), D=(0, 4), E=(-6, 4).
Answer:
hh8egu
Step-by-step explanation:
Need help please and thank you
Hey!
For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)
This way, it will be able to graph and get the answers quicker!
The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).
Find the length of side AB. Round to the nearest hundredth inch.
The value of length of side AB is,
⇒ AB = 5 units
We have to given that;
The figure is shown a trapezoid.
Hence, By using Pythagoras theorem we get;
⇒ AB² = 4² + (5.25 - 2.25)²
⇒ AB² = 16 + 3²
⇒ AB² = 16 + 9
⇒ AB² = 25
⇒ AB = √25
⇒ AB = 5 units
Therefore, The value of length of AB is,
⇒ AB = 5 units
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What is this answer and how?
the area of a rectangle whose length is twice its width
Answer:
is there anything else that gose with this question
Step-by-step explanation:
Enter the number of tens and ones in the chart for 61+14=75