six claims are to be randomly selected from a group of thirteen different claims, which includes two workers compensation claims, four homeowners claims and seven auto claims.
calculate the probability that the six claims selected will include one workers compensation claim, two homeowners claims and three auto claims
Using the combination formula, it is found that there is a 0.2448 = 24.48% probability that the six claims selected will include one workers compensation claim, two homeowners claims and three auto claims.
A probability is the number of desired outcomes divided by the number of total outcomes.In this problem, the order in which the claims are chosen is not important, which means that the combination formula is used to find these numbers of outcomes.Combination formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The desired outcomes are:
One workers from a set of 2.Two homeowners from a set of 4.Three auto-claims from a set of 7.Thus:
[tex]D = C_{2,1}C_{4,2}C_{7,3} = \frac{2!}{1!1!} \times \frac{4!}{2!2!} \times \frac{7!}{4!3!} = 420[/tex]
For the total outcomes, six claims from a set of 13, thus:
[tex]T = C_{13,6} = \frac{13!}{6!7!} = 1716[/tex]
The probability is:
[tex]p = \frac{D}{T} = \frac{420}{1716} = 0.2448[/tex]
0.2448 = 24.48% probability that the six claims selected will include one workers compensation claim, two homeowners claims and three auto claims.
A similar problem is given at https://brainly.com/question/25112440
A salesman earns 60% commission on all the merchandise that he sells. Last month he sold $800 worth of merchandise. How much commission (in dollars) did
he earn last month?
Answer:
Step-by-step explanation:
✓ Step-by-step explanation:commission earned = 60% of $800800 × 60/100 = $480
The Commission (in dollars) he earn last month is $480.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
A salesman earns 60% commission on all the merchandise that he sells. Last month he sold $800 worth of merchandise.
So, the Commission he earns
= 800 + 800 x 60%
= 800 + 800 x 60/100
= 800 + 480
= 1280
Hence, the commission is $480.
Learn more about Unitary Method here:
https://brainly.com/question/22056208
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If X = 3 units, Y = 3 units, and Z = 4 units, then what is the surface area of the right triangular pyramid shown above?
Fishing Hook E is dropped 2.5 times its present depth. Where is Fishing Hook E
now?
Answer:2.5 times depper duh
Step-by-step explanation:
What is the distance between the points (2, 1) and (14, 6) on a coordinate
plane?
Answer:
13
Step-by-step explanation:
Write this number in
scientific notation.
19,800,000
1.98x10[?] I need help on the last step
How to solve 17.28 divided by(1.32 subtract0.24) multiply 0.6
Answer:
12.9 i think
Step-by-step explanation:
Please help me with this question! Please and Thank you❤️
Answer:
[tex] \frac{\pi}{4} = 45° \\ \\ \frac{\pi}{6} = 30°[/tex]
[tex]( \cos( \frac{\pi}{4} ) + \sin( \frac{\pi}{6} ) ) ^{2} \\ \\ \\ {( \cos(45°) + \sin(30°) ) }^{2} \\ \\ \\ ( \frac{1}{ \sqrt{2} } + \frac{1}{2} ) ^{2} \\ \\ \\ (( \frac{1}{ \sqrt{2}} \times \frac{ \sqrt{2} }{ \sqrt{2}} ) + \frac{1}{2} )^{2} \\ \\ ( \frac{ \sqrt{2} }{2} + \frac{1}{2} )^{2} \\ \\ {( \frac{ \sqrt{2} + 1}{2} })^{2} \\ \\ \frac{( \sqrt{2} + 1)( \sqrt{2} + 1)}{ {2}^{2} } \\ \\ \\ \frac{2 + \sqrt{2} + \sqrt{2} + 1}{4} \\ \\ \\ = \frac{3 + 2 \sqrt{2} }{4} \\ \\ \\ = \frac{3 + 2(1.414)}{4} \\ \\ = \frac{3 + 2.828}{4} \\ \\ = \frac{5.828}{4} \\ \\ = 1.457[/tex]
I hope I helped you^_^
PLS HELP REAL ANSWERS
Answer:
it is d
Step-by-step explanation:
ok good luck
· Draw a diagram of this statement. Then answer the questions that follow. Five eighths of the 160 seats were empty during the matinee. (a) How many seats were empty during the matinee? (b) How many seats were occupied during the matinee? CAN SOMEONE PLEASE HELP ME?
Answer:
Step-by-step explanation:
Empty
5/8 * 160 = 100
Full
There are two ways you can do this.
160 - 100 = 60 seats were full
or
160 * 3/8 = 60 seats were full.
Where did the 3/8 come from?
1 - 5/8 = 3/8
can someone please help how did i get this wrong . the question says wich of the following could be used to estimate quotient 3458 divide 6 . I put 3400÷6=567 it was marked wrong
Answer:
3500÷6= 583
Step-by-step explanation:
It is 3500, because 5, the tens can give 4, the hundred
Evaluate the exponential expression (−2)6. Question 6 options: 64 −12 −64 12
What is the length of segment BC?
14
100
196
10
Answer:
196 / 10
Step-by-step explanation:
Not sure but hope it helps
elementary math! please help! will mark brainlist
Answer:
1/100, 0.01, and shade one of the collums
Step-by-step explanation:
A. 0.1 or 10%
B. 0.01 or 1%
C. 0.0001 or 0.01%
D. 0.01 or 1%
Note: In textbooks like this, you should probably check the back of the book, they usually have detailed answers/rationales.
what is the nth term rule for the sequence -5, -7 -9 -11 -13
Answer:
an=-2n-3
Step-by-step explanation:
what is the value of x?
Please help! Brainliest to correct
Answer:
Step-by-step explanation:
x +3 I x⁴ + 0x³ - 6x² + 0x -28 I x³ - 3x² + 3x - 9
x⁴ + 3x³
- -
-3x³ - 6x²
-3x³ - 9x²
+ +
3x² + 0x
3x² + 9x
- -
-9x -28
-9x - 27
+ +
-1
P(x) =(x +3)* (x³ - 3x² + 3x - 9) + (-1)
Write a compound inequality that represents the following phrase. Graph the solutions. all real numbers that are between -6 and 7, inclusive
Answer:
-6 ≤ x ≤ 7
Step-by-step explanation:
"Inclusive" here means that the endpoints -6 and 7 are part of the solution set. This set includes all numbers between -6 and 7:
[-6, 7] or -6 ≤ x ≤ 7
what is What is the image of (4,−1) after a reflection over the line y=x?
I HOPE IT WILL HELP YOU.
Thank you.
PLEASE HELP ITS MATH THANK YOUUUU HURRY
Answer:
18
Step-by-step explanation:
9/4=2.25
2.25x8=18in
The probability that a certain make of car will need repairs in the first eight months is 0.6. A dealer sells three such cars. What is the probability that at least one of them will require repairs in the first eight months? Round your final answer to four decimal places.
Answer:
There is a 1.8% chance that one of the cars will need a repair in the first month.
Step-by-step explanation:
It’s actually very simple, as we just have to multiply the 0.6% by 3, considering that there are three cars, and we then get the answer; 1.8%.
Hope This Helped!
الصورة المختصرة للعبارة اللوغاريتمية log2 x − log2 y − 3 log2 z
Answer:
Step-by-step explanation:
4. Which of the following sets of ordered pairs is a function?
a. {(-3, -2), (-1, 3), (0, -2), (3, 4)}
b. {(0, 1), (3, 2), (5,-3), (0, 2)}
c. {(-7, -7) (-2,5),(-1, 6).(-2,-5)}
d. {(-4,-7), (-9,5), (4, -2), (-9, 0)}
Answer:
a
Step-by-step explanation:
Thing that x = a kid and y = it's biological mother
To be a function you need for each x to have only one y !
a. {(x= -3, y = -2), (x= -1, y= 3), (x=0, y= -2), (x= 3, y= 4)} Is a Function
b. {(x= 0, y= 1), (x= 3, y= 2), (x= 5, y= -3), (x= 0, y= 2)} Not a Function because kid x=0 has two biological mothers y=1 and y=2.
c. {(x= -7, y= -7) (x= -2, y= 5),(x= -1, y= 6).(x= -2, y= -5)}Not a Function because kid x= -2 has two biological mothers y= 5 and y= -5
d. {(x= -4, y= -7), (x= -9, y= 5), (x= 4, y= -2), (x= -9, y= 0)} Not a Function because kid x= -9 has two biological mothers y= 5 , and y= 0
Elena is planning to go camping for the weekend and has already spent $40 on supplies. She goes to the store and buys more supplies.
Which inequality represents d, the total amount in dollars that Elena spends on supplies?
Answer:
I think it d≥40
Step-by-step explanation:
Probally is d≥40
The inequality equation of the total amount in dollars that Elena spends on supplies is d ≥ 40.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
Elena is planning to go camping for the weekend and has already spent $40 on supplies. She goes to the store and buys more supplies.
Let d be the total amount. Then we have
d ≥ 40
More about the inequality link is given below.
https://brainly.com/question/19491153
What's the area of this? PLS HELP
Answer:
446mm
Step-by-step explanation:
If we box off parts of the area, it makes it easier to solve. I personally broke it into tiny bits:
Upper left box: 16mm
Bigger box (excluding little box): 90mm
Big rectangle: 340mm
Now, add them all together.
Equals 446mm
Answer:
area: 446mm
Step-by-step explanation:
split up the shape into squares, find the area of those, add it all together to get the total area
What steps transform the graph of y=x to y=-(x+2) +4
y = x^2 to Green
y = –2(x – 2)^2 + 2 Blue
PLS HELP I WILL MARK YOU THE BRAINLIEST!!!
1.) 0.3v = 1.35
2.) 2.5c = 15.75
3.) -64.5g = -25.8
4.) -3.2a = -55.68
Answer:
1) [tex]v=4.5[/tex]
2)[tex]c=6.3[/tex]
3)[tex]g=0.4[/tex]
4)[tex]a=17.4[/tex]
For those who have images blocked:
1) v = 4.5
2) c = 6.3
3) g = 0.4
4) a = 17.4
can someone solve this for me
Answer:
64
Step-by-step explanation:
Kajal spoke on the phone from 4:50 pm until 6:19 pm. How long did kajal speak on the phone?
Answer:
89 minutes or 1 hour and 29 minutes
Step-by-step explanation:
4. Solve for x and y
Answer:
Step-by-step explanation:
Intersecting lines make equal opposite angles
2x + y = 50 - y
2x = 50 - 2y
x = 25 - y
A straight line represents 180°
4x + 6y + 2x + y + 2x + 3y = 180
8x + 10y = 180
8(25 - y) + 10y = 180
200 - 8y + 10y = 180
2y = -20
y = -10
x = 25 - (-10)
x = 35