Answer:
There are 50 full-time and 25 part-time employees in the company.
Step-by-step explanation:
Total number of employee in the company = 75
Employee's records to be audited = 50
Number of audited record = 75 - 50
= 25
Records of employees to be audited = 50
Since half of the full-time employee's records has been audited after 3-days, then the number of full-time employee = number of audited record x 2 = 25 x 2
= 50
The number of part-time employee's in the company = 75 - 50
= 25
There are 50 full-time and 25 part-time employees in the company.
Suppose each day that you drive to work a traffic light that you encounter is either green with probability 3/8, red with probability 1/2, or yellow with probability 1/8, independent of the status of the light on any other day. If over the course of five days, G, Y, and R denote the number of times the light is found to be green, yellow, or red, respectively, what is the probability that P[G=2, Y=1, R=2] ? Also, what is the probability P[G=R]? [15%]. Hint: consider sequences possible in a five-day observations
Answer:
a
[tex]P(G = 2 , Y= 1 , R = 2) = 0.13184 [/tex]
b
[tex]P(G = R ) = 0.13919 [/tex]
Step-by-step explanation:
From the question we are told that
The probability of the traffic light being green is [tex]p_g = \frac{3}{8}[/tex]
The probability of the traffic light being red is [tex]p_r = \frac{1}{2}[/tex]
The probability of the traffic light being yellow is [tex]p_y = \frac{1}{8}[/tex]
The number of days of observation is n = 5
Generally the probability distribution function for a multinomial distribution is mathematically represented as
[tex]Pr( X_1 = x_1 \ and \ . . . \ and \ X_k =x_k) = \left \{ {{ \frac{n!}{x_1 ! , . . . x_k !} p_1^{x_1} * \cdots *p_k^{x_k} \ \ \ \ \ \ \ when \ \sum x_i = n } \atop {0 }\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ otherwise \ } \right[/tex]
Generally the probability that P[G=2, Y=1, R=2]
[tex]P(G = 2 , Y= 1 , R = 2) = \frac{5!}{ 2! * 1! * 2!} * [\frac{3}{8} ]^2 * [\frac{1}{8} ]^1 * [\frac{1}{2} ] ^2[/tex]
=> [tex]P(G = 2 , Y= 1 , R = 2) = 0.13184 [/tex]
Generally the probability that P[G=R] is mathematically represented as
[tex]P(G = R ) = P( G = 2 , Y = 1 , R = 2) + P( G = 0 , Y = 5 , R = 0)+ P( G = 1 , Y = 3 , R = 1)[/tex]
Here
[tex] P( G = 0 , Y = 5 , R = 0) = \frac{5!}{ 0! * 5! * 0!} * [\frac{3}{8} ]^0 * [\frac{1}{8} ]^5 * [\frac{1}{2} ] ^0[/tex]
[tex] P( G = 0 , Y = 5 , R = 0) = 0.0000305176 [/tex]
Also
[tex] P( G = 1 , Y = 3 , R = 1)= \frac{5!}{ 1! * 3! * 1!} * [\frac{3}{8} ]^1 * [\frac{1}{8} ]^3 * [\frac{1}{2} ] ^1[/tex]
[tex] P( G = 1 , Y = 3 , R = 1)= 0.0073242 [/tex]
[tex]P(G = R ) = 0.13184 + 0.0000305176+ 0.0073242 [/tex]
[tex]P(G = R ) = 0.13919 [/tex]
Please answer this much appreciated.
Answer:
a = [tex]\frac{h-r}{b}[/tex]
Step-by-step explanation:
Given
h = ab + r ( subtract r from both sides )
h - r = ab ( isolate a by dividing both sides by b )
[tex]\frac{h-r}{b}[/tex] = a
The cast of renting a DVD is 1.50 per day(d). Which function represents the cost of renting the DVD?
Answer:
1.50(d)=p
Step-by-step explanation:
OPENER: Select all the names for the answers to a polynomial equation
(Select all that apply.)
Solutions
y-intercepts
Roots
points
Stems
x-intercepts
intersections
finite
Zeros
square root of 9 on a graph
Answer:
I think the answer is 3
Find the unit rate.
9 pounds per 6 crates
Ib per crate
Answer:
1.5
Step-by-step explanation:
I solved it and got it right
Answer: 1.5 pounds per crate
3) How much does a customer pay for an article marked at $50.00 if a sales tax of 6% is charged?
(a) $44.00 (b)$47.00 (c)$53.00 (d)$56.00
which number of the solar system has an equatorial diameter of 3.48x10^3 kilometers
Answer: 21
Step-by-step explanation: I got it right
Michael Hendrix earned $232.10 for working 27.5 hours. How much would he earn if he worked 40 hours? (Annex a zero to
the dividend to make the quotient come out even)
out even.)
Answer:
337.60
Step-by-step explanation:
I divided what he earned by what he worked and multiplied that number by 40
4x - 3 = 3x + 4 what is the value of x
Answer:
x = 7
Step-by-step explanation:
Covert 45 1/2 % to a fraction
Find the missing number in this sequence
1,0,1,1,0,1,_.1.0.1.1.1.10
Answer:
0
Step-by-step explanation:
look at the first numbers
Answer:
1,0,1,1,0,1,1,1,0,1,1,1,1,0
hope it helped :)
Step-by-step explanation:
Identify the coefficient in each term
5. 4x^3
6. y^3
7. 2n^7
8. -s^4
Answer:
5. 4
6. 1
7. 2
8. -1
Step-by-step explanation:
Coefficient is usually the whole number in the beginning. I believe 5-7 are correct. I'm a little iffy about 8. Good luck!
inverse of f(x)=3/2x +6
Answer:
f(x) = (x - 6)/(3/2)
Step-by-step explanation:
Wht Is a fraction equivalent to 0.4 repeating its self
4/9 is the answer
hope this helps
You are decorating a Rose Bowl float. There are 108 red roses, 144 white roses, 48 yellow roses, and 72 purple roses. If bunches of roses are identical and there are no leftover roses, what is the greatest number of bunches that can be made? How many roses of each color are in each bunch?
Answer:
Step-by-step explanation:
Number of red roses = 108
Number of white roses = 144
Number of yellow roses = 48
Number of purple roses = 72
If the number of roses in each bunch are identical,
Number of bunches of roses = HCF of number of roses
Factors of 144 = 3×3×2×2×2×2×1
Factors of 108 = 3×3×3×2×2×1
Factors of 72 = 3×3×2×2×2×1
Factors of 48 = 3×2×2×2×2×1
Common factors of 144, 108, 72, 48 = 3 × 2 × 2 × 1 = 12
Therefore, number of bunches of roses with equal number of roses = 12
Number of red roses in each bunch = [tex]\frac{108}{12}=9[/tex]
Number of white roses in each bunch = [tex]\frac{144}{12}=16[/tex]
Number of yellow roses in each bunch = [tex]\frac{48}{12}=4[/tex]
Number of purple roses in each bunch = [tex]\frac{72}{12}=6[/tex]
8^ 1/3 what is it simplified
Step-by-step explanation:
Simplifying mixed numbers
Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.
Answer:
8^1/3= 2
:-))))
What is the value of y?
can any one pls help me with 14,15 pls tysm! have a great day :D
Answer:
14.$403.46 or $403.50(rounded)
15.11.55 or 11.60(rounded)
Step-by-step explanation:
Commission is when you get a percent added to the amount of money you have already so with that being said-397.50+1.5%
She uses 24% so with that being said to find the amount left you have to subtract the percent from the original amount-15.2-24%
find the slope of the line y=-2/3x
Answer:
-2/3
Step-by-step explanation:
-2/3
The difference between of a number q and 8
Find the value of a
Answer:
a=60
Step-by-step explanation:
since there are 6 total "a" values (2 angles worth just a, 2 angles worth 2 a)
you divide the total angle number by 6: 360/6=60
a=60
hope this helps!! <3
A $23.00 item with sales tax of 8%? Find the sales tax?
Answer:
Step-by-step explanation:
Tax = 8% of 23
= [tex]\frac{8}{100}*23[/tex]
= [tex]\frac{184}{100}[/tex]
= $ 1.84
Answer
The answer is $1.84
Step-by-step explanation
The formula for calculating the sales tax on a good or service is: selling price x sales tax rate, and when calculating the total cost of a purchase, the formula is: total sale amount = selling price + sales tax.
anybody know this question dont answer if its not right
Answer:
5
Step-by-step explanation:
9×5/9=45/9
=5
just multiply the stuff in parantheses and then add and then divide.
Answer:
5
Step-by-step explanation:
3^2*(2+3); 9*5=45
(2+1)*3; (3)*3=9
So 45/9 =5
What is the value of -2xy if x = -1 and y = 6?
8
12
26
-12
Can someone do the work I’m so confused
Answer:
(1) n = 9
(2) n = 15
(3) r = -8
Plz mark brainliest:)
Answer:
n=9n=15r=-8Step-by-step explanation:
1.4=n/9+3
4-3=n/9
1=n/9 cross multiply
2. -7=-8+n/15
-7+8=n/15
1=n/15 Cross multiply
n=15
3.-11=r/2-7
-11+7=r/2
-4=r/2cross multiply
-8=r
r=-8
simplify the expression: 3x + 7y - 5x + 9x - y
Step-by-step explanation:
10x+4y.............
Answer:
B. 7x + 6y
Step-by-step explanation:
3x + 7y -5x +9x -y
= (3x - 5x +9x) + (7y - y)
= 7x + 6y
help me please!!!!!
Answer
the next two terms are
0.000032
0.0000064
Question 1
Sione just landed a great job as an engineer where he will make $55,000 a year. The
company he will work for guarantees a 3% pay increase each year so it's employees
salaries keep up with inflation. At the end of the 1* year Slone will have made $55,000
dollars.
1. What is the recursive function that will represent this situation?
a. m(t) = m(t - 1) + 0.03, m(1) = 55000
b. m(t) = m(t-1). 0.03, m(1) - 55000
c. m(t) = m(t-1) + 1.03, m(1) - 55000
d. m(t) = m(t-1). 1.03, m(1) = 55000
Answer:
Option (d)
Step-by-step explanation:
If the current salary of Sione is represented by the function m(t - 1),
Next year his salary m(t) gets hike of 3%.
So, the next year salary of Sione will be represented by,
m(t) = m(t - 1) + 3% of m(t - 1)
= m(t - 1) + 0.03 × m(t - 1)
= m(t - 1)(1 + 0.03)
= 1.03m(t - 1)
Since, at the end of year 1 his salary was $55000,
Recursive function will be,
m(t) = 1.03m(t - 1) = 55000
Therefore, Option (d) will be the answer.
A restaurant manager states the number of customers that enter the restaurant is equal to 4
times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also
states that the number of customers that enter their restaurant is equal to 1 times the number of
people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog
from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round
your answer to the nearest whole number.
Answer:
9
Step-by-step explanation:
No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.
The number of customers that enter their restaurant is equal to 1 times the number of people that buy a hotdog from the hotdog cart plus 38.
The equation that shows the given condition,
4x + 11 = 1x + 38
x is the no of people
Taking the like terms,
4x-1x=38-11
3x=27
x = 9
So, there are 9 people buying a hotdog from the hotdog cart.