Answer:
a) 0.035 = 3.5% probability that a customer is a good risk and has filed a claim.
b) 0.0395 = 3.95% probability that the customer has filed a claim.
c) 0.8861 = 88.61% probability that the customer is a good risk
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.
a) What is the probability that the customer is a good risk and has filed a claim?
70% are good risks.
Of those, 0.5% file a claim. So
[tex]0.7*0.05 = 0.035[/tex]
0.035 = 3.5% probability that a customer is a good risk and has filed a claim.
b) What is the probability that the customer has filed a claim?
0.5% of 70%(good risks)
1% of 20%(medium risks)
2.5% of 10%(poor risks). So
[tex]0.05*0.7 + 0.01*0.2 + 0.025*0.1 = 0.0395[/tex]
0.0395 = 3.95% probability that the customer has filed a claim.
c) Given that the customer has filed a claim, what is the probability that the customer is a good risk?
0.0395 = 3.95% probability that the customer has filed a claim means that [tex]P(A) = 0.0395[/tex]
0.035 = 3.5% probability that a customer is a good risk and has filed a claim means that [tex]P(A \cap B) = 0.035[/tex]
Thus
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035}{0.0395} = 0.8861[/tex]
0.8861 = 88.61% probability that the customer is a good risk
A jar contains 6 red marbles numbered 1 to 6 and 4 blue marbles numbered 1 through 4. A marble is drawn at random from the jar. Find the probability of the given event as a simplified fraction.
A. The marble is red
b. The marble is odd-numbered
c. The marble is red and odd-numbered
The annual per capita consumption of bottled water was 32.6 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 32.6 and a standard deviation of 12 gallons. The probability that someone consumed more than 33 gallons of bottled water is?
Answer:
0.4867
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 32.6 ; Standard deviation = 12
For :
P(x > 33)
Z = (33 - 32.6) / 12
Z = 0.4 / 12
Z = 0.0333
Hence, using the Z distribution table :
P(Z > 0.0333) = 1 - P(Z < 0.333)
P(Z > 0.0333) = 1 - 0.51328
P(Z > 0.0333) = 0.48672
Wat is the average between 1,000, 2300,1000,2600
Answer:
1180.2
Step-by-step explanation:
The average of 1,000,2300,1000,2600 is 1180.2
What is the area of the following picture ( HELP PLEASE )
Answer:
area=l*b
10*8
80#
Step-by-step explanation:
hope you like it
Determine if 0.949449444944449444449 rational or irrational and give a reason for answer.
Answer:
irrational if it's more after this number but if it stops at the last 9 then it's a rational number
hope this helps
have a good day :)
Step-by-step explanation:
This is irrational if it's more after this number but,
If it stops at the last 9 then it's a rational number.
We have given that,
0.949449444944449444449.
What is the meaning of irrational numbers?An irrational number, any real number that cannot be expressed as the quotient of two integers.
We have to determine rational or irrational.
irrational if it's more after this number but.
If it stops at the last 9 then it's a rational number.
To learn more about the numbers visit:
https://brainly.com/question/251701
PLEASE TELL ME THE VALUE
Answer:
Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each
there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each
the total value off all of these together is $2.68
Can someone please help?
Answer:
The last one: 25%
Step-by-step explanation:
Answer:
25% because 25 is 1/4 of 100
Step-by-step explanation:
An expression is shown. Which one of the expressions below is equivalent?
Answer:
C
Step-by-step explanation:
HELP MEEE
What is the probability of spinning a blue on
the above spinner and flipping heads?
If f(x) = 3x + 2 and g(x) = 2x - 2, what is (f - g)(x)?
A. x + 4
B. X-2
O c.
Х
OD.
5x-2
O E.
X-4
Answer:
option A
Step-by-step explanation:
f(x) = 3x + 2
g(x) = 2x - 2
(f - g)(x) = f(x) - g(x)
= (3x + 2) - (2x - 2)
=3x + 2 - 2x + 2
= x + 4
The value of function (f - g)(x) is,
⇒ (f - g)(x) = x + 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function are,
f(x) = 3x + 2 and g(x) = 2x - 2
Hence, The value of function (f - g)(x) is,
⇒ (f - g)(x) = (3x + 2) - (2x - 2)
⇒ (f - g)(x) = 3x + 2 - 2x + 2
⇒ (f - g)(x) = x + 4
Thus, The value of function (f - g)(x) is,
⇒ (f - g)(x) = x + 4
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Find the volume of this solid figure. Use π = 3.14.
WITH SOLUTION PLEASE AND NO LINKS!
Answer:
180
Step-by-step explanation:
volume= (6*5)/2*12 =180 in
what is the value of x?
the answer is 35 I did a lot of work I can't show you here
Helaine graphed the equation 12x−4y=3. What was the slope of Helaine’s line?
Answer:
The slope is 3
Step-by-step explanation:
12x−4y=3
Solve for y
Subtract 12x from each side
-12x +12x−4y=-12x+3
-4y = 12x+3
Divide each side by -4
-4y/-4 = -12x / -4 +3/-4
y = 3x -3/4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 3
Answer:
The slope is 3
Step-by-step explanation:
12x−4y=3
Solve for y
Subtract 12x from each side
-12x +12x−4y=-12x+3
-4y = 12x+3
Divide each side by -4
-4y/-4 = -12x / -4 +3/-4
y = 3x -3/4
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is 3
The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle? (5 points) a 2 square feet b 4 square feet c 6 square feet d 8 square feet
Answer:
B. 4 square feet
Step-by-step explanation:
The formula for area of a triangle is length x height / 2 so 4 x 2 is 8 then divided by 2 is 4.
Answer: 4
Base 4
hight 2
4x2=8 ÷ 2 or 1/2 Equals 4
Formula L x W ÷ 2 or 1/2
Can someone please help, ty!
Will mark brainliest!
Answer:
The first and third set
Step-by-step explanation:
Because no two inputs can have different outputs
By what percent will a fraction decrease if its numerator is decreased by 40% and its denominator is decreased by 25%?
Answer: 80%
Step-by-step explanation:
Hence, if the numerator is decreased by 40% and the denominator is decreased by 25%, the original fraction is decreased by 80 percent.
A manufacturer of liquid laundry detergent has a .02 probability that the detergent bottles will be improperly filled. (Either too much or too little detergent.) There is a .03 probability that the label on the bottle will not be affixed properly. If the events of bottle fill and affixing the label are independent, then the probability of a bottle being filled improperly and having an improperly affixed label is
Answer:
0.0006
Step-by-step explanation:
The probability is
Given that
A denotes the bottle being filled improperly
And,
B denotes the label on the bottle will not be affixed properly
So,
P(A) = 0.02 ,
ANd, P(B) = 0.03
Also that A and B are independent events.
So, by property of independence is
P(A \cap B) = P(A and B) = P(A) P(B)
= P(A and B) =P(A)P(B)
= 0.02 × 0.03
= 0.0006
Josh says that -5/4 has the same quotient as 5/-4 Is this true or false?
True
False
the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet
Answer:
405 feet
Step-by-step explanation:
s = 2 * (√5) * 90
s = 2 * 201.246117975
s = 402.49223595
Closest estimate
405 feet
Answer:
Since The equation that depicts the motion of the Car is given.
The speed in terms of the tire marks...
s= 2√5x
where x is the tire marks(in feet.)
s is the speed(miles per hr)
We can't use the speed in Miles per hr when the tire mark is feet.
1mile = 5280ft
90miles x 5280ft/1mile = 475,200ft/hr
Making x the subject
x= s/2√5
x= 475/200/(2√5 )
=106,257ft
I still can't see what I'm missing or You sure you didn't forget to add something else to the question?
Help pls this is 5th grade math
Answer:
2 is scalene
3 is right
4 is right
5 is equalatirel
6 is scalene
7 is isocoles
8 is equalatirel
9 is right
Step-by-step explanation:
Answer:
2: scalene
3: right
4: right
5: equilateral
6: scalene
7: isosceles
8: equilateral
9: right
Step-by-step explanation:
2: A scalene triangle has no congruent sides
3: A right triangle has a 90 degree angle
4: A right triangle has a 90 degree angle
5: An equilateral triangle has 3 congruent sides
6: A scalene triangle has no congruent sides
7: An isosceles triangle has 2 congruent sides
8: An equilateral triangle has 3 congruent sides
9: A right triangle has a 90 degree angle
Please help If using the method of completing the square to solve the quadratic equation
22 - 142 – 40 = 0, which number would have to be added to "complete the
square"?
Evaluate the following
6!
Answer:
Mind showing a picture?
Thank you!
Borrows 15,200 for 10 months at an annual rate of 4.55%. What is the interest owed after 10 months
the answer in the photo check it
mentioned some good points about commerce subject in grade 12??
Answer:
You can easily be employed in the future
you can be in any profession such as bank accountant,trader, manager at business etc
Step-by-step explanation:
hope you like it
Answer:
well I like
Step-by-step explanation:
to be honest their all i don't know how to explain but their all OK i guess
Determine how many people will fit in a building with a width of 105 feet and a length of 250 feet, if we use a standard of 16 people per 25 square feet.
Answer:
16,800 people
Step-by-step explanation:
105 * 250 = 26,250
p = 26250ft² * (16 people / 25ft²)
p = 16,800 people
Answer:
16800
Step-by-step explanation:
105 x 250 = 26250 and then divide it by 25 which is 1050 then multiply by 16 which is 16800
Hope this helps!
For positive acute angles A and B it is known that tan A 15/8 and Cos B 12/37 find the value of Cos (A+b) being in simplest form
Answer:
Step-by-step explanation:
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Find The Hypotenuse of A
Tan(A) = Opposite / Adjacent
Tan(A) = 15/8
Opposite = 15
Adjacent = 8
Hypotenuse = c
c^2 = opposite^2 + Adjacent^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c^2 = 289
sqrt(c^2) = sqrt(289)
c = 17
Find the opposite of B
Adjacent = 12
Hypotenuse = 37
Opposite = b
adjacent^2 + opposite^2 = hypotenuse^2
12^2 + b^2 = 37^2
144 + b^2 = 1369
b^2 = 1369 - 144
b^2 = 1335
b = 35
Definitions
Sin(A) = Opposite / hypotenuse = 15/17
Sin(B) = opposite / hypotenuse = 35/37
Cos(A) = 8/17
Cos(B) = 12/37
Answer
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Cos(A + B) = 8/17 * 12/37 - 15/17*35/37
Cos(A + B) = 96/629 - 525/629
Cos(A + B) = -429/629
Someone please help!
Venny Had 5 friends she ate 3 of them. The rest ran away. How much friends dose she have now?
help with this question
9514 1404 393
Answer:
A = 49π/36 or 59π/36
Step-by-step explanation:
The given angle is coterminal with the same angle modulo 2π.
(563/36)π = 14π +(59/36)π
so the coterminal angle is 59π/36 ≈ 1.6389π, a 4th-quadrant angle. The 3rd-quadrant angle with the same sine value is found by subtracting this angle from 3π:
A = 3π -(59π/36) = 49π/36
The two values of A that satisfy the equation are ...
A = 59π/36A = 49π/36_____
In degrees, the two angles are 245° and 295°.
Age of each person in Kidz Zone
6
5
4
2
1
20
25
0
0 5 10 15
Number of years
In which interval is the median age?
Choose 1 answer:
0-5
5 - 10
Answer:
10-15
Step-by-step explanation:
Median is the middle of the numbers (or in this case, number sets)
The middle number set is the third.
Thus, the interval would be 10-15.
Answer: 5-10
Step-by-step explanation:
the median for 11 data points would be the sixth data point which falls into the 5 to 10 years interval