Does it pay to ask for a raise? A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the men interviewed, 21% had asked for a raise and 60% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities. (Enter your answers to three decimal places.)
Answers
Answer:
a) P(man asked for a raise) = 0.21.
b) P(man received raise, given he asked for one) = 0.6.
c) P(man asked for raise and received raise) = 0.126.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
Question a:
21% asked for a raise, so:
P(man asked for a raise) = 0.21.
Question b:
Event A: Asked for a raise.
Event B: Received a raise:
21% had asked for a raise and 60% of the men who had asked for a raise received the raise:
This means that [tex]P(A) = 0.21, P(A \cap B) = 0.21*0.6[/tex], thus:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.21*0.6}{0.6} = 0.6[/tex]
P(man received raise, given he asked for one) = 0.6.
Question c:
[tex]P(A \cap B) = 0.21*0.6 = 0.126[/tex]
P(man asked for raise and received raise) = 0.126.
Related Questions
98 POINTS!!!
Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4. What is the average rate of change?
Answers
Answer:
The average rate of change is 5.
Step-by-step explanation:
First plug in the x values.
y=5x+1
=(0)5+1
=1
y=5x+1
=(4)5+1
=21
Average rate of change = the change in the output divided by the change in the input.
Output change: 21-1=20
Input change: 4-0=4
20/4=5
We know that 1 1 − r = [infinity] n = 0 rn has interval of convergence (−1, 1). This means the series converges for |r| < 1. Therefore, the series f(x) = 1 2 + x = [infinity] n = 0 (−1)n xn 2n + 1 will converge when − x 2 < 1. Thus, what is the interval of convergence for f(x)? (Enter your answer using interval notation.)
Answers
Answer: hello your question is poorly written attached below is the complete question
answer :
I = ( -2, 2 )
Step-by-step explanation:
Determine the internal convergence for f(x)
given that f(x) converges at |-x/2 | < 1
I ( internal convergence for f(x) ) = ( -2, 2 )
Attached below is the detailed solution
The sum of four consecutive odd integers is –72. Write an equation to model this situation, and find the values of the four integers.
Answers
9514 1404 393
Answer:
(x -3) +(x -1) +(x +1) +(x +3) = -72-21, -19, -17, -15Step-by-step explanation:
Let x represent the even integer between the middle two odd integers. Then the sum of the four odd integers is ...
(x -3) +(x -1) +(x +1) +(x +3) = -72
4x = -72
x = -18
The four integers are -21, -19, -17, -15.
_____
Additional comment
You could let x represent one of the integers. Often, people choose to let it represent the least of them. Then the equation becomes x +(x+2) +(x+4) +(x+6) = -72, so 4x = -84 and x = -21. This introduces a "subtract 12" step in the solution process that is unnecessary if x is chosen to be the average of the integers.
As the average, x is the sum divided by the number of them, so you know x=-72/4 = -18 immediately. Then you just have to find the nearest two odd integers below and above -18. You can do the whole problem mentally.
You work at Happy Joe's family restaurant and want to see if customer meal satisfaction and gender are related to one another. You take a sample of customers and ask them if they were satisfied with their meal and note their gender. To determine if Satisfaction and Gender are dependent, what are the appropriate hypotheses
Answers
Answer:
[tex]H_o :[/tex] Satisfaction and Gender are independent of one another
[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another
Step-by-step explanation:
Given
Parameters: Meal satisfaction and Gender
Test: If both parameters are dependent
Required
The appropriate hypotheses
To do this, we set the null hypothesis to independence of both parameters
i.e.
[tex]H_o :[/tex] Satisfaction and Gender are independent of one another
The alternate hypothesis will be the opposite, i.e. dependence of both parameters
i.e.
[tex]H_a :[/tex] Satisfaction and Gender are dependent of one another
A club of 10 people wants to choose an executive board consisting of president, secretary, treasurer, and three other officers. In how many ways can this be done
Answers
Answer:
The number of ways = 151200
Step-by-step explanation:
Below is the calculation of the number of ways:
Total number of people = 10
Total number of posts = 6
The number of ways = 10P6
The number of ways = [tex]\frac{10!}{10! - 6!}[/tex]
The number of ways = 10 x 9 x 8 x 7 x 6 x 5
The number of ways = 151200
-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25
Answers
Answer:
4
Step-by-step explanation:
-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25
-11+4*4+3*-4+7*-2+25
-11+16+-12+-14+25
4
when a force of 400N is applied on a body at angle of 60 degree to the horizontal displacement,the body covers a distance of 8m.what is the work done?
Answers
Answer:
1600N
Step-by-step explanation:
Force = 400 N
Angle with horizontal = 60°
Displacement in horizontal direction = 8 m
work done formula when angle is included: Force * distance * cos(angle)
400 * 8 * cos(60)
= 400 * 8 * 1/2
= 1600N
Rewrite the expression by factoring out (u-8).3u^2(u-8)-2(u-8)
Answers
Answer:
The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]3u^2(u - 8) - 2(u - 8)[/tex]
Factoring out (u-8)
Place (u-8) to the front, and then divide each term by (u-8). So
[tex]3u^2(u - 8) - 2(u - 8) = (u - 8)\left[\frac{3u^2(u - 8)}{u - 8} - \frac{2(u-8)}{u - 8}\right] = (u - 8)(3u^2 - 2)[/tex]
The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]
Examine the following expression.
p squared minus 3 + 3 p minus 8 + p + p cubed
Which statements about the expression are true? Check all that apply.
The constants, –3 and –8, are like terms.
The terms 3 p and p are like terms.
The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.
The expression contains six terms.
The terms p squared and p cubed are like terms.
Like terms have the same variables raised to the same powers.
The expression contains seven terms.
Answers
Answer:
the terms in the expression are p squared, negative 3,3p, negative 8,p,p cubed
Step-by-step explanation:
hope that helps
We have 9 pens, of which 5 are green ink, 3 are red ink, and 1 is black. If we put the pens in a line, how many arrangements are possible
Answers
Answer:
504 arrangements are possible
Step-by-step explanation:
Arrangements of n elements:
The number of arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
Arrangements of n elements, divided into groups:
The number of arrangements of n elements, divided into groups of [tex]n_1, n_2,...,n_n[/tex] elements is given by:
[tex]A_{n}^{n_1,n_2,...,n_n} = \frac{n!}{n_1!n_2!...n_n!}[/tex]
In this case:
9 pens, into groups of 5, 3 and 1. So
[tex]A_{9}^{5,3,1} = \frac{9!}{5!3!1!} = 504[/tex]
504 arrangements are possible
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Answers
Volume of the 3d composite figure is,
(7×6×5)+(7×6×5)/3
= 210+70
= 280 cm³
Relationship between the two volumes,
Volume of the rectangular prism is 3 times the volume of the pyramid.
Answered by GAUTHMATH
Answer:
I was gonna anwer it but somone already did.
Step-by-step explanation:
a. A CD is discounted by 10%, and then from the already discounted price, a further 15% discount is given. If the price now is $12.93, find the original price.
b. What is the total discount percent as compared to the original price?
Answers
Answer:
a. $16.90
b. 23.5%
Step-by-step explanation:
a. After the two discounts, the original price is multiplied by ...
(1 -10%)(1 -15%) = 0.90×0.85 = 0.765
Then the original price is found from ...
$12.93 = 0.765 × original price
original price = $12.93 / 0.765 ≈ $16.90
__
b. The effective discount from the original price is ...
1 -0.765 = 0.235 = 23.5%
A wiper blade of a car is of length 24 cm sweeping through an angle of begin mathsize 18px style text 120° end text end style. The total area cleaned at one sweep of the blade is
Answers
Answer:
[tex]A=603.18\ cm^2[/tex]
Step-by-step explanation:
The length of a blade, r = 24 cm
The sweeping angle is 120°.
We need to find the total area cleaned at one sweep of the blade. The area of sector is given by :
[tex]A=\dfrac{\theta}{360}\times \pi r^2[/tex]
[tex]A=\dfrac{120}{360}\times \pi \times 24^2\\\\=603.18\ cm^2[/tex]
So, the total area cleaned at one sweep of the blade is [tex]603.18\ cm^2[/tex].
The time between surface finish problems in a galvanizing process is exponentially distributed with a mean of 41 hours. A single plant operates three galvanizing lines that are assumed to operate independently. Round your answers to four decimal places (e.g. 98.7654).
(a) What is the probability that none of the lines experiences a surface finish problem in 41 hours of operation?
(b) What is the probability that all three lines experience a surface finish problem between 24 and 41 hours of operation?
Answers
Answer:
a) The probability that none of the lines experiences a surface finish problem in 41 hours of operation is 0.0498.
b)The probability that all three lines experience a surface finish problem between 24 and 41 hours of operation is 0.0346.
Step-by-step explanation:
[tex]Mean = \frac{1}{\lambda} = 41\\P(X\leq x)= 1-e^{-\lambda x}[/tex]
[tex]P(X>x)= e^{-\lambda x}[/tex]
a)
[tex]P(x> 41, y>41, Z>41) = (P(X>41))^{3}\\\\P(X>41)=e^{^{-\frac{41}{41}}}=e^{-1}[/tex]
[tex]P(x> 41, y>41, Z>41) = \left (e^{-1} \right )^{3}\\\\P(x> 41, y>41, Z>41) = e^{-3} = 0.0498.[/tex]
b)
[tex]\lambda =\frac{24}{41}\\P(X=1)=e^{-\lambda }\cdot \lambda =\left ( e^{-0.585} \right )\left ( 0.585 \right )\\P(X=1)=0.326[/tex]
For 3 where, P(X=1, Y==1, Z=1)
[tex]= (0.326)^{3} \\\\= 0.0346[/tex]
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
15
D 4 B
A. 7.7
B. 3.8
O C. 15
D. 4
Answers
Answer:
Step-by-step explanation:
Which is equivalent to (-m)4x n2 ?
Answers
Answer:
a.) m⁴n²
Step-by-step explanation:
( -m)⁴ × n ²
A negative base raised to an even powers equals a positive.
m ⁴ × n²
multiply the terms
m⁴n²
Answer:
a.) m⁴n²
Step-by-step explanation:
yea
I need this to pass summer school
Answers
Answer: The answer is b
Using the table above. Which statement below is true?
Answers
9514 1404 393
Answer:
(d) 45% play basketball; 55% play soccer
Step-by-step explanation:
You just need a little number sense here. The total number who play sports is the number in the lower right of the table: 120.
The fraction who are males playing basketball is 42/120. Comparing that to 45/100, we see it cannot be 45%. (a) is false.
The fraction who are males is 72/120, more than half, so cannot be 40%. (b) is false.
Looking at males who play basketball, we have already determined the fraction 42/120 is well below 65%. (c) is false.
The fraction who play basketball is 54/120 = 45%. (d) is true.
All I need is number one
Answers
Answer:
a. 7 ÷ 4 yes
b. 4 ÷ 7 no
c. [tex]\frac{7}{4}[/tex] yes
d. [tex]\frac{4}{7}[/tex] no
e. 7 × [tex]\frac{1}{4}[/tex] yes
f. [tex]1\frac{3}{4}[/tex] yes
Step-by-step explanation:
hope this helps ^^
I need help please it’s for math
Answers
Answer:
139
Step-by-step explanation:
Since the given is a parallelogram then angle <D and angle <B are equal angles
10x - 21 = 9x - 5
10x - 9x = 21 - 5
x = 16 replace x with 16 to find the measure of angle <B
16*9 - 5 = 139
Can someone help please ??
Answers
Answer:
x=40
Step-by-step explanation:
In the picture, it seems that angles BHC, CHD, and DHE form a line, 180 degrees. So to solve, set up an equation:
[tex](2x+5)+55+40=180[/tex]
Take off the parentheses and solve.
Subtract 5, 55 and 40 from both sides, or add them together, then subtract.
5+55+40=100
You get:
[tex]2x=80[/tex]
Divide both sides by 2
You get:
[tex][x=40][/tex]I hope this helps!
What is the simplest form of 0.0115
Answers
23/200
Hope this helps! :)
Answer:
23/2000
Step-by-step explanation:
0.0115 can be written as 115/10000
=23/2000
Please mark me as brainliest.
Find the area of the quadrilateral.
Answers
Answer:
320 cm²
Step-by-step explanation:
If 3 units = 12cm
Then 1 unit = 12/3 = 4cm
Formula for Area Trapezoid = height*(base1+base2)/2
Base 1 = 12
Base 2 = 7 * 4 = 28
12 + 28 = 40
40 * (4*4) = 40 * 16 = 640
640 / 2 = 320
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
what is the formula for triangle
Answers
Answer:
A = 1/2 b × h
Step-by-step explanation:
hope it helps !!!!
Answer:
The formula for the area of a triangle is 1/2bh.
Rewrite in simplest terms: (9x+5)-(-2x+10)(9x+5)−(−2x+10)
Answers
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { 18 {x}^{2} - 69x - 55}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] = (9x + 5) - ( - 2 x+ 10)(9x + 5) - ( - 2x + 10)[/tex]
[tex] = (9x + 5) + 2x (9x + 5) - 10(9x + 5) - ( - 2x + 10)[/tex]
[tex] = 9x + 5 + 18 {x}^{2} + 10 x- 90x - 50 + 2x - 10[/tex]
Collect the like terms.
[tex] = 18 {x}^{2} + (9x + 10x- 90x + 2x) + (5 - 50 - 10)[/tex]
[tex] = 18 {x}^{2} + (21x - 90x) +(5 - 60)[/tex]
[tex] = 18 {x}^{2} - 69x - 55[/tex]
[tex]\boxed{ Note:}[/tex][tex]\sf\pink{PEMDAS\: rule.}[/tex]
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
The angle of elevation of the top of the tower from a point on the ground is 30 degree, If the height of the tower is 40 space m e t e r s, then the distance between the tower and the point is
Answers
Answer:
[tex]40\sqrt3\ m[/tex]
Step-by-step explanation:
Given that,
The height of the tower, h = 40 m
The angle of elevation is 30°
We need to find the distance between the tower and the point. Let the distance is x. Using trigonometry,
[tex]\tan(30)=\dfrac{h}{x}\\\\\dfrac{1}{\sqrt3}=\dfrac{40}{x}\\\\x=40\sqrt3\ m[/tex]
So, the distance between the tower and the point is equal to [tex]40\sqrt3\ m[/tex].
Will give brainliest answer please give explanation
If this block dropped into 23.0mL of water, what will the new volume be?
Answers
Volume of block X 1ml/1cm^3 = x mL
23.0 mL + x = final answer mL
find the slope and y-intercept of line 3x +y -9=0
Answers
Answer:
x-intercept(s):(3,0)
y-intercept(s):(0,9)
Step-by-step explanation:
Dale hikes up a mountain trail at 2 mph. Because Dale hikes at 4 mph downhill, the trip down the mountain takes 30 minutes less time than the trip up, even though the downward trail is 3 miles longer. How many mile did Dale hike in all?
Answers
Answer:
13 miles
Step-by-step explanation:
He hikes 4 mph downhill and it takes 30 minutes or 0.5 hours lesser than the trip uphill at 2 mph.
Thus, if the distance upward is x and we are told the distance downhill is 3 miles longer.
Then, since time = distance/speed, we have;
((x + 3)/4) + 0.5 = x/2
Multiply through by 4 to get;
x + 3 + (0.5 × 4) = 2x
x + 5 = 2x
2x - x = 5
x = 5 miles
Now, it means distance uphill = 5 miles and distance downhill = 5 + 3 = 8 miles
Thus, total distance covered = 8 + 5 = 13 miles
please help me now I need it please this is calculuse
Answers
Answer:
none of these
Step-by-step explanation:
