Answer:
Expected benefit under this policy = $ 2694
Step-by-step explanation:
Given - An insurance policy on an electrical device pays a benefit of
4000 if the device fails during the first year. The amount of the
benefit decreases by 1000 each successive year until it reaches 0.
If the device has not failed by the beginning of any given year, the
probability of failure during that year is 0.4.
To find - What is the expected benefit under this policy ?
Proof -
Let us suppose that,
The benefit = y
Given that, the probability of failure during that year is 0.4
⇒Probability of non-failure = 1 - 0.4 = 0.6
Now,
If the device fail in second year , then
Probability = 0.6×0.4
If the device fail in third year, then
Probability = 0.6×0.6×0.4 = 0.6² × 0.4
Going on like this , we get
If the device is failed in n year, then
Probability = 0.6ⁿ⁻¹ × 0.4
Now,
The probability distribution is-
Benefit , x 4000 3000 2000 1000 0
P(x) 0.4 0.6×0.4 0.6² × 0.4 0.6³ × 0.4 1 - 0.8704
(0.4) (0.24) (0.144) (0.0864) (0.1296)
At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704
Now,
We know that,
Expected value ,
E(x) = ∑x p(x)
= 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)
= 1600 + 720 + 288 + 86.4 + 0
= 2694.4
⇒E(x) = 2694.4 ≈ 2694
∴ we get
Expected benefit under this policy = $ 2694
find m<A to the nearest tenth degree
I need help please :(
Answer:
3) x=60
6)x=86
9) x=40
Step-by-step explanation:
3) 60+60+x=180
120+x=180
X=180-120
x=60
6) 18+(x-8)+(x-2)=180
18-8-2+x+x=180
8+2x=180
2x=180-8
2x=172
x=172/2
x= 86
9) (2x+5)+60+(x-5)=180
2x+x+5+60-5=180
3x+60=180
3x=180-60
3x=120
x=120/3
x=40
Can someone please help?
Answer:
SOME OF THE WORDS ARE BLURRY TRY TAKING A BETTER PICTURE
help me out on this please with explanation
Answer:
196 inches
Step-by-step explanation:
1yd=36in
36x2=72
72x2+26x2=196
Which two ratios represent quantities that are proportional?
O A. 2 and 1
B.
56
64
and
36
48
c. fo and
O D. and 1
Answer:
All 4 of them
Step-by-step explanation:
Tell me if I'm wrong
Helppppp!!! due in a few minutes
Answer:
b is the answer
Step-by-step explanation:
Solve it and take y in right hand side
PLEASEE HELP!!!!!!!!!
Answer:
A, B, E
Step-by-step explanation:
EC is 12 inches by pthag
AC is 17 becuase EC is 12 and AE is 5. 5+12 = 17
The parameter is 40 as 13 times two plus 5 times two is abt. 40
a truck is carrying 9 cars weighing an average of 4,500 pounds each. what is the total weight in tons of the cars on the truck.
STEP-BY-STEP PLS!!!!!!
HELP QUICK!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
b,bcoz of the gravity inside the popcorn
Answer:
a) 7 pounds
b) 6.7 pounds (2 boxes of size 2 kg, 1 size 1kg)
1. When opening a bank account with a credit card, you will be asked to create a 4-digit PIN
number for debit transactions. From how many possible PIN numbers can you choose?
Explain your reasoning. (5 points)
2. The useful life of a radial tire is normally distributed with a mean of 80,000 miles and a
standard deviation of 5000 miles. A small tire company produces 10,000 tires a month.
a What is the probability that if you buy a radial tire at random, it will last between
70,000 and 85,000 miles? (1 point)
b. About how many tires from a month's production will last between 75,000 and
85,000 miles? (2 points)
Answer:
1) 10000. When asked to pick a set of four decimal digits, then the total number of combinations possible are 10⁴. More generically speaking, if asked to pick a random set of n digits expressed in base b, then the total number of combinations available is bⁿ.
2a) 95%. According to the "Empirical Rule" 95% of data in a normal distribution falls within two standard deviations of the average.
2b) 68%. Again, using the Empirical Rule, we know that 68% fall within one standard deviation of the average.
The quilt design at the right is a traditional American design what is the minimum number of translations of the original pattern, A, needed to create the section shown?
a. 14 translations
b. 15 translations
c. 16 translations
d. 17 translations
Answer: 15
Step-by-step explanation:
1.25 times what =12?
Answer:
48/5
Step-by-step explanation:
1.25x=12
Answer:
you can't because if you multiplyied 1.25 times ten you would get 12.5
Step-by-step explanation:
PLEASE HELP ME I NEED IT DONE FAST
Step-by-step explanation:
the answer is going to be 660 cm
Answer:
lateral surface area + 2*area of cross section
Step-by-step explanation:
11+2*(3*4*5)
11+2*60
11+ 120
131
9.
A. 7
B. 15
C. 12
D
Answer: d=20?
Step-by-step explanation:
A solid figure is shown. It is a rectangular prism. 3 cm 5 cm 9 cm What is the volume of the figure? A. 17 cm 3 B. 27 cm 3 C. 45 cm 3 OD. 135 cm H E. 174 cm 3
Answer:
Step-by-step explanation:
17
What is 28% of 307
Enter your answer as a decimal in the box
Answer:
the answer is 85.96
Step-by-step explanation:
Hope this helps, =)
Find the value of x for m (arc AB)=23 and m(arc CD)=32 (the answer will be a decimal )
Work out:
6(10 - 23) + 20
Answer:
-58
Step-by-step explanation:
6 (10 - 23) + 20
=6 x (10 - 23) + 20
= 6 x (- 13) + 20
= -78 + 20
= -58
T= 3x + 4y
(b) Work out the value of y when T= 38 and x = 6
Answer:
y is 5 hope this helps u welcome
The value of y in the given expression T= 3x + 4y when T= 38 and x = 6 would be 5.
What is a simplification of an expression?Usually, simplification involves proceeding with the pending operations in the expression.
Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.
Simplification usually involves making the expression simple and easy to use later.
We have been given an expression;
T= 3x + 4y
when T= 38 and x = 6
38 = 3(6) + 4y
4y = 38 - 18
4y = 20
y = 5
Learn more about expression;
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Direction: Analyze and solve each problem.
1. Annie bought 3 apples for Php 51.00. How much would 5 apples cost?
2. In a table ternis match, Adonis scores 2 points for every 3 that Lexus makes. What is Adonis final score if Lexus score is 217?
pls help me.. i dont know what this is.. answer this if u know it pls..
Answer:
[tex]5 \ apples = 85.00[/tex]
[tex]Adonis = 144.67[/tex]
Step-by-step explanation:
Solving (a):
[tex]3\ apples = 51.00[/tex]
Required
The cost of 5
Divide through by 3, to get the cost of 1
[tex]1\ apple = 17.00[/tex]
Multiply through by 5, to get the cost of 5
[tex]5 * 1\ apple = 17.00*5[/tex]
[tex]5 \ apples = 85.00[/tex]
Solving (b):
[tex]Adonis : Lexus = 2 : 3[/tex]
[tex]Lexus= 217[/tex]
Required
Find Adonis' final score
Substitute 217 for Lexus
[tex]Adonis : 217 = 2 : 3[/tex]
Express as fraction
[tex]\frac{Adonis}{217} = \frac{2}{3}[/tex]
[tex]Adonis = \frac{2}{3} * 217[/tex]
[tex]Adonis = \frac{2 * 217}{3}[/tex]
[tex]Adonis = \frac{434}{3}[/tex]
[tex]Adonis = 144.67[/tex]
20 POINTS PLZ HELP
What would the equation y = -2x + 24 look like when graphed?
It would be a straight line.
It would be a curve.
It would be a parabola.
It would be a triangle.
Answer:
It would be a straight line.
Step-by-step explanation:
It would be a negative, linear line. It would be steep.
CAN SOMEONE PLEASE HELP ME WITH THIS ITS DUE TODAY
I WILL BRAINLIEST WHOEVER TELLS ME THE ANSWERS
Answer:
(The picture is not really clear but I hope this is right)
1. 50
2. 9
3. 16
4. 14
5. 60
Step-by-step explanation:
To find the area all you have to do is multiply the base x width using the formula B x W = A where B is the base, W is the width and A is the area.
1. 5 x 10 = 50
2. 3 x 3 = 9
3. 4 x 4 = 16
4. (Is that a 1 or 7?) 2 x 7 = 14
5. (Assuming that is 6) 10 x 6 = 60
Hope this helps :)
(a)
Plastic Rods
A factory makes rods by cutting plastic pipes that are 55 feet long into 88 rods.
Part A
How long is each rod?
0.625
feet
You may use the scratchpad to show your work.
Enter your answer as a fraction or a mixed number.
(b)
Part B
What is the total length of 1313 rods?
I just need part B I already have part A i pls just give me the answer to part B!!
61°
Х
X =
degrees.
please help me
Step-by-step explanation:
61 + 90 = 151 degree
180 - 151 = 29 degree
180 - 29 = 151 degree is x value
Factorise the following:
Answer:
hello sis!!!
Step-by-step explanation:
hope this helps you ^_^
Answer:
49x²-16/25
=(7x)²-(4/5)²=(7x+4/5)(7x-4/5)
use formula
a²-b²=(a+b)(a-b)
What number is triple six?
Answer
The answer is 666
Laura's new bedroom is in the shape of a square and has an area of 144 ft2
What should Laura do to find the length of each side of her bedroom?
The length of each side of her bedroom is 12 feet.
Here,
Laura's new bedroom is in the shape of a square and has an area of 144 ft2.
We have to find the length of each side of her bedroom.
What is Area of square?
If the side of a square is 'x' then, Area of square is [tex]x^{2}[/tex].
Now,
Laura's new bedroom is in the shape of a square and has an area of 144 ft2.
Let length of each side is x.
Then,
[tex]x^{2} = 144\\\\x = \sqrt{144} \\\\x = 12[/tex]
Hence, The length of each side of her bedroom is 12 feet.
Learn more about the area of square visit:
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A multiple choice test has 30 questions each with four options. What is the probability of getting all 30 questions correct by guessing? do not evaluate
Answer:
1 out 4^30
not very good odds!
What is the total surface area of the rectangular pyramid whose net is shown?
Answer:
4200 inches squared
Step-by-step explanation:
PLZ HELP QUICKLY PLZ 20 POINTS PLZ
Answer:
I think we could use pemdas for this
Step-by-step explanation:
parenthesis
exponents
multiply
divide
add
subtract
multiply 9 and 3 would probably be best
Answer:
add -15 and 9