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
Tommy has $350 of his graduation gift money saved at home, and the amount is modeled by the function h(x) = 350. He reads about a bank that has savings accounts that accrue interest according to the function s(x) = (1.04)x−1. Explain how Tommy can combine the two functions to model the total amount of money he will have in his bank account as interest accrues after he deposits his $350. Justify your reasoning.
Answer:
So the functions that are given are the following:
[tex]h(x)=350\\s(x)=(1.04)^{x-1}[/tex]
So in order to find the money in his account, there would have to be a substitution for (x=$350) in the first function, and a place in the second function.
What is the Equation
Answer:
90+30+2x=180
Step-by-step explanation:
2x is an angle, so we need to find its measure
square symbol at corner of triangle means 90 degrees
we know the angle at the top corner is 30 degrees
the sum of all the angles in a triangle is 180 degrees
so the sum of 90 degrees, 30 degrees, and 2x degrees is 180 degrees
translate it to mathematical format: 90+30+2x=180
52 teratons
tons
Equals
How many tons
You have 2 different savings accounts. For Account A, the simple interest earned after 6 months is $2.63. For Account B, the simple interest earned after 30 months is $23.00. If the interest rate is 3.5% for Account A and 2.3% for Account B, how much is the principal in each account? Which account earned you the most interest the first month? Explain your answer.
Answer:
pee on the teacher
Step-by-step explanation:
1/7×2/3 in simplest form
Answer:
2/21
Step-by-step explanation:
1*2 and 7*3
What is the domain of the equation that is graphed?
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values. See Figure 6.
Figure 6
We can observe that the graph extends horizontally from
\displaystyle -5
−5
to the right without bound, so the domain is [−5,∞). The vertical extent of the graph is all range values 5 and below, so the range is (−∞,5]. Note that the domain and range are always written from smaller to larger values, or from left to right for domain, and from the bottom of the graph to the top of the graph for range
what can you say about the unknowns in the equation x+22=y+32
Answer:
x = y + 10
y = x -10
Step-by-step explanation:
For x:
Given: x + 22 = y + 32
Subtract 22 from both sides: x = y + 32 - 22
Answer: x = y + 10
For y:
Given: x + 22 = y + 32
Subtract 32 from both sides: x + 22 - 32 = y
Answer: y = x -10
I think this is what you are asking for? If not lemme know, have a nice day! :D
(also, this is my 300th answer hehehehe)
An Australian Shepherd breeder has had three litters of puppies from the same set of parents. The following table sho
next litter, what is the probability of a puppy having no spots? Enter a fraction or round your answer to 4 decimal plac
Number of Puppies
Black and White
Red and white
Black with Spots
Red with Sp
6
8
4
5
Answer
Using the probability concept, it is found that there is a 0.6087 = 60.87% probability of a puppy having no spots.
A probability is the number of desired outcomes divided by the number of total outcomes, that is:
[tex]p = \frac{D}{T}[/tex]
In this problem:
There are 6 + 8 + 4 + 5 = 23 puppies, thus [tex]T = 23[/tex].6 +8 = 14 have no spots, thus [tex]D = 14[/tex]Then, the probability is:
[tex]p = \frac{D}{T} = \frac{14}{23} = 0.6087[/tex]
0.6087 = 60.87% probability of a puppy having no spots.
A similar problem is given at https://brainly.com/question/15536019
Given the recursive formula shown, what are the first 4 terms of the sequence?
Applying the recursive formula f(n) = f(n-1) + 4 with the initial condition f(1) = 3, we obtain the sequence 3, 7, 11, 15, which corresponds to option D) in the given choices. Optiopn D
To find the values of the sequence defined by the recursive formula f(n) = f(n-1) + 4, with the initial condition f(1) = 3, we can apply the formula repeatedly, starting from n = 2.
Using the given formula, we can calculate the values of the sequence as follows:
f(2) = f(2-1) + 4 = f(1) + 4 = 3 + 4 = 7
f(3) = f(3-1) + 4 = f(2) + 4 = 7 + 4 = 11
f(4) = f(4-1) + 4 = f(3) + 4 = 11 + 4 = 15
The values we obtained are: f(1) = 3, f(2) = 7, f(3) = 11, and f(4) = 15.
Comparing these values to the options provided:
A) 3, 9, 11, 13
B) 3, 8, 10, 12
C) 4, 7, 10, 13
D) 3, 7, 11, 15
We can see that option D) 3, 7, 11, 15 matches the values we calculated using the recursive formula. Therefore, the correct answer is option D).
For more such question on recursive formula visit:
https://brainly.com/question/29386786
#SPJ8
Hi
Answer:
Hello ^-^
Step-by-step explanation:
The points (8, 8) and (18,8) fall on a particular line. What is its equation in slope-intercept form?
plz help i got 0/10 as the slope
Answer:
You got it right
Step-by-step explanation:
you need to do y2-y1
x2-x1
8-8=0
18-8=10
basically you got it right because its 0/10
Use properties of operations to write an expression equivalent to the expression below.
(MUST SHOW WORK!)
Answer:
third option
Step-by-step explanation:
the only difference between the original problem and the third option is where the parentheses are placed
since the operations are all addition it does not matter which pair of values gets added first because of the associate property of addition
HELP PLEASE! VERY URGENT
Answer:
can i have brainlest pls
PLEASE HELP!!!!!
will mark brainliest!!!!!
Answer:
(4,7),(5,-1),(6,-10)
Step-by-step explanation:
mark me brainliest
Work out the shaded area of this
shape.
6m
13m
12m
11m
The diagram is not drawn to scale.
m2
Solve: 3,204 ÷ 119
Show the remainder as a fraction.
3204:119=
=26,92
=27/10
You have just purchased a car and, to fund the purchase, you borrowed $32,000. If your monthly payments are $615.13 for the next 5 years, what is the APR of the loan?
9514 1404 393
Answer:
5.76%
Step-by-step explanation:
There is no formula for APR. It must be found using an iterative calculation, as from a spreadsheet or financial calculator.
__
The value can also be found graphically from the amortization formula:
A = P(r/12)/(1 -(1 +r/12)^(-12t))
where A is the monthly payment, P is the principal amount of the loan, r is the annual rate, and t is the number of years.
This can be put into a form that can be solved easily by a graphing calculator. We want it to find the x-intercept of f(x) = 0, so we define ...
f(x) = A(P, x/100, t) -615.13
where A(P, r, t) is defined above, and we let r = x/100 so x is the APR. The graph shows us the APR is 5.763%.
f (t) = 5t − 7
f(______) = 48
Answer:
f(11) = 48
Step-by-step explanation:
For what value of "t" will cause the equation to equal 48
5t - 7 = 48 Solve for t
5t = 55
t = 55/5
t = 11
The slope of a line is m= -4.
(a) Determine the slope of a line parallel to the line with the given slope.
(b) Determine the slope of a line perpendicular to the line with the given slope.
Select "Undefined" if applicable.
Part 1 of 2
The slope of a line parallel to the given slope is
Part 2 of 2
The slope of a line perpendicular to the given slope is
Answer:
a) -4
b) 1/4
Step-by-step explanation:
a) -4. This is because parallel lines have the same slope.
b) 1/4. This is because the product of perpendicular slopes will be -1. (This can be seen as -4 * 1/4 = -1)
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
Which point on the density curve represents the median value?
Answer is B
Answer:
Graphically, the MEDIAN of a density curve is the equal-area point, the point with half the area under the curve to its left and the other half to its right. The quartiles divide the area under the curve into quarters.
Step-by-step explanation:
The median of a density curve is the equal-areas point: the point that divides the area under the curve in half. The mean of a density curve is the balance point, at which the curve would balance if it were made of solid material.
hope this answers help you all
mark as brainlist.
rate this answer quys.
thank you ❤️
Answer: B is the median level
Step-by-step explanation: edge 2023
-7/3(12q+1/3r+6) someone help me I need it for something important
Answer:
Below
Step-by-step explanation:
-7/3 ( 12q + 1/3r + 6 )
multiply each number in the parentheses separately by - 7/3
- 7/3 ( 12q) = - 84/3 q or - 28q
- 7/3 ( 1/3r) = - 7/9 r
- 7/3 ( 6) = -42/3 or - 14
Putting back together you get
-28q - 7/9r - 14
z ÷ 12 = 10 please help im giving 60 points for the awnser i realy need this
Answer:
120
Step-by-step explanation:
10x12=120 z=120
Answer:
120
Step-by-step explanation:
12 times 10 is 120
good luck!
Evaluate 3x²-x+7) dx
Answer & Step-by-step explanation:
I assume you mean to differentiate the equation.
We will solve using the power rule, where x^n = nx^n-1.
Apply this rule to all three numbers in our equation to get 6x, -1, and 0
Find the difference quotient of the function f(x)= 5x+3
Answer:
Consider the difference quotient formula.
f(x+h)−f(x)hf(x+h)-f(x)h
Find the components of the definition.
Tap for more steps...
f(x+h)=5h+5x−3f(x+h)=5h+5x-3
f(x)=5x−3f(x)=5x-3
Plug in the components.
f(x+h)−f(x)h=5h+5x−3−(5x−3)h
Step-by-step explanation:
Consider the difference quotient formula.
f(x+h)−f(x)hf(x+h)-f(x)h
Find the components of the definition.
Tap for more steps...
f(x+h)=5h+5x−3f(x+h)=5h+5x-3
f(x)=5x−3f(x)=5x-3
Plug in the components.
f(x+h)−f(x)h=5h+5x−3−(5x−3)h
Use the properties of equality to complete each proof.
Given: 6x-2y =14; Prove: y = 3x - 7
Answer:
below
Step-by-step explanation:
[tex]6x-2y=14[/tex]
[tex]-2y=14-6x[/tex]
[tex]y=-7+3x[/tex]
but has in slope-intercept form, y = 3x - 7
both lines are equal
What is the arithmetic mean of the following numbers? 8, 1, 2, 6, 1, 48,1,2,6,1,48, comma, 1, comma, 2, comma, 6, comma, 1, comma, 4
9514 1404 393
Answer:
3 2/3
Step-by-step explanation:
The mean is the sum of the 6 numbers, divided by 6.
(8 + 1 + 2 + 6 + 1 + 4)/6 = 22/6 = 3 2/3
Garrett's coin bank contains 500 nickels,
dimes, and quarters. He has the same
number of nickels as dimes, and the total
value of the coins is $72.50. How many
quarters does he have?
Step-by-step explanation:
d = number of dimes
n = number of nickels
q = number of quarters
d + n + q = 500
d×$0.10 + n×$0.05 + q×$0.25 = $72.50
n = d
we are focusing now on one variable (let's try d), and we are transforming the other equations to express the other variable by this one variable.
since n = d we have already
d + d + q = 500
2d + q = 500
q = 500 - 2d
with that we go into the main equation
d×0.10 + d×0.05 + (500 - 2d)×0.25 = 72.50
d×0.15 + (500 - 2d)×0.25 = 72.50
d×0.15 + 500×0.25 - 2d×0.25 = 72.50
d×0.15 + 125 - d×0.50 = 72.50
-d×0.35 = -52.50
d = 52.50/0.35 = 150
n = d = 150
q = 500 - 2d = 500 - 2×150 = 500 - 300 = 200
so, he has 200 quarters.
A leaf hangs from a branch 12 feet in the air. It falls to the ground at a rate of 0.25 feet per second. Which graph could represent the leaf’s height in feet as a function of time, in seconds, after leaving the branch?
Which equation represents the graphed function?
Answer:
0.25 - x
Step-by-step explanation:
Answer:
the last graph is correct
Step-by-step explanation:
In the diagram, mcd=128º and mpA=76º. What is McABC?
Answer:
D. 102°Step-by-step explanation:
m∠ABC = m∠ABD + m∠CBD = Angle addition postulate1/2mCD + 1/2mAD = Angle measure is the half the intercepted arc1/2(128) + 1/2(76°) = 102°A jojo tank takes 14 minutes to fill at a rate 5litres per minute 1.How many minutes would it takes to fill at 8 litres per minute? 2.what is the capacity of tje tank?