There is a 0.9968 probability that a randomly selected 50-year-old female lives through the year (based on data from the U.S. Department of Health and Human Services).
-------------------
A Fidelity life insurance company charges $226 for insuring that the female will live through the year. If she does not survive the year, the policy pays out $50,000 as a death benefit.
From the perspective of the 50-year-old female, what are the values corresponding to the two events of surviving the year and not surviving?
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Ans: -226 ; 50,000-226 = 49774
-------------------------
If a 50-year-old female purchases the policy, what is her expected value?
WORK TRIED:
In the event she lives, the value is -$226. In the event she dies, the value is $49,774.
----
E(x) = 0.9968*(-226) + 0.0032(49774) = -$66
==================================================
Cheers,
ROR
A gopher is in a hole that is 6 1/4 in. below the surface of the ground. It then digs 7 1/2 in. deeper. What is the gopher’s new elevation relative to the surface of the ground? Show your work.
Answer: 13 3/4
Step-by-step explanation:
The gopher’s new elevation relative to the surface of the ground will be
[tex]13 \frac{1}{4}[/tex] inches.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
A gopher is in a hole that is [tex]6 \frac{1}{4}[/tex] in. below the surface of the ground.
And, Then digs [tex]7 \frac{1}{2}[/tex] in. deeper.
Now,
The gopher’s new elevation relative to the surface of the ground will be calculated as;
⇒ [tex]6 \frac{1}{4} + 7 \frac{1}{2}[/tex]
⇒ 25/4 + 15/2
Make denominators same as;
⇒ 25/4 + 30/4
⇒ (25 + 30) / 4
⇒ 55 / 4
⇒ [tex]13 \frac{1}{4}[/tex] inches.
Thus, The gopher’s new elevation relative to the surface of the ground will be [tex]13 \frac{1}{4}[/tex] inches.
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What’s 28,561 in expanded form
Step-by-step explanation:
2×10,000 + 8×1000 + 5×100+6×10+1
Use Pythagoras Theorem to determine which of the following shapes are rectangles. please awnser
Answer:
(a) - no, (b) - yesStep-by-step explanation:
Use equation and compare results:
d² = a² + b²(a)
10.15² = 8.1² + 6.3²103.0 ≠ 105.3, no(b)
15.31² = 14.4² + 5.2²234.4 = 234.4, yes#a
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (10.15)^2=(8.1)^2+(6.3)^2[/tex]
[tex]\\ \sf\longmapsto 103=65.61+39.69[/tex]
[tex]\\ \sf\longmapsto 103\neq 105.3[/tex]
No
#b
[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]
[tex]\\ \sf\longmapsto (15.31)^2=(14.4)^2+(5.2)^2[/tex]
[tex]\\ \sf\longmapsto 234.4=207.3+27.1[/tex]
[tex]\\ \sf\longmapsto 234.4\neq 234.4[/tex]
Yes
The list of ordered pairs below represents a function.
{(-12, –8), (-2,7), (0,4), (-4,3)}
Find the range of the function. Write your answer' as a comma separated list.
Answer:
{-8, 3, 4, 7}
Step-by-step explanation:
range is y values in the ordered pairs
{-8, 3, 4, 7}
How could you correctly write the equation4(10+5)=6(12-2)
find the slope and y intercept of y = -2x -18
Answer:
Slope = -2
y-intercept = -18
Step-by-step explanation:
In y=mx+b, m is the slope and b is the y-intercept. With that being said, this will mean that -2 is the slope and -18 is the y-intercept.
Hope this helps you :)
What decimals are equal to 1.5^3
Answer:
3.375
Step-by-step explanation:
of the three lines in the graph one has slope m = 1 one has slope m = 2, and one has slope m = 1/5.
Put the lines in order from greatest to least slope.
Answer:
1/5 1 2
Step-by-step explanation:
can someone help with this
Step-by-step explanation:
A. n is the number of persons excluding chaperones
B. The equation describes the situation where the total admission cost at orchard A is equal to that of B. (This happens at n=17 persons)
C. For which number of persons is orchard A cheaper than orchard B? (It will be for n is more than 17 persons, but there is no requirement to calculate this).
if a2-b2=c2. find c if a=5 and b=3
Answer:
c=2
Step-by-step explanation:
translation:
5x2-3x2=c2
10-6=4
4=c2
4/2=c2/2=c=2
When a = 5 and b = 3, the value of c is 4, based on the equation [tex]a^2 - b^2 = c^2[/tex].
Given the equation [tex]a^2 - b^2 = c^2[/tex] and the values a = 5 and b = 3, we can substitute these values into the equation and solve for c.
Substituting a = 5 and b = 3:
[tex](5)^2 - (3)^2 = c^2\\\\25 - 9 = c^2\\\\16 = c^2[/tex]
Taking the square root of both sides:
c = √16
c = 4
Therefore, when a = 5 and b = 3, the value of c is 4.
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Complete Question:
If [tex]a^2 - b^2 = c^2[/tex]. find c if a=5 and b=3.
СЕ
What is the product of
(5m2) (2m -3)
7
7m6
10
10m6
Answer:
10m^3-15m^2
Step-by-step explanation:
The sum of two numbers is right one number is for less than the number find the numbers
Step-by-step explanation:
you made a lot of typos in the text.
I assume your meant the following :
the sum of two numbers is eight.
one number is four less than the other number.
the numbers : x, y
x + y = 8
x = y - 4
we use the second equation in the first :
y - 4 + y = 8
2y - 4 = 8
2y = 12
y = 6
x = y - 4 = 6 - 4 = 2
given the sequence tn defined recursively below, find t4.
Answer:
[tex]t_4 = 20[/tex]
Step-by-step explanation:
The base case in the recursive function are:
[tex]t_1 = 1[/tex]
[tex]t_2 = 2[/tex]
The recursive case is equal to:
[tex]t_n = 2t_{n-1} + 3t_{n-2}[/tex]
So replace [tex]t_n[/tex] for [tex]t_4[/tex]:
[tex]t_4 = 2t_{3} + 3t_{2}[/tex]
In the new expression [tex]t_2[/tex] is a base case so you don't have to worry for that part, but [tex]t_3[/tex] is still the recursive case so evaluate again in [tex]t_n[/tex]
[tex]t_3 = 2t_{2} + 3t_{1}[/tex]
[tex]t_2[/tex] and [tex]t_1\\[/tex] are define as base cases so you replace for it's numbers:
[tex]t_3 = 2(2) + 3(1) = 7[/tex]
Now return to [tex]t_4[/tex] and replace for the new values:
[tex]t_4 = 2(7) + 3(2) = 14 + 6 = 20[/tex]
So the final answer is 20
What is the decimal multiplier to decrease by
15%?
Answer:
0.85
Step-by-step explanation:
Answer:
first calculate the percenatge of the ammount and then either add this answer on to increase the qauntity
Find the shaded area
Answer:
30
Step-by-step explanation:
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
PLEASEEEEE I BEG YOUUU 50 POINTS!!!!!!!~~~~~
Aubrey wrote a business plan for an entrepreneurship class, and now she has to make bound copies. Aubrey could use a printer who charges a setup fee of $38 and $3 for every copy printed. Another possibility is to go to the office supply store, where she could pay an up-front fee of $34 and $4 per copy. There is a certain number of copies that makes the two options equivalent in terms of cost. How much would the copies cost? How many copies is that?
Answer:
Copies cost for the first case = $ 12
Copies cost for the second case =$16
Number of Copies = 4
Step-by-step explanation:
Let the number of copies = N
. for the first case: total cost (T1) = 38 + 3N
. for the second case: total cost (T2) = 34 + 4N
Determine the ‘N’ when the cost is equivalent
So, 38 + 3N = 34 + 4N
38 – 34 = 4N – 3N
N = 4
Therefore, number of copies = 4
Copies cost for the first case = 3 × 4 = $12
Copies cost for the second case = 4 × 4 = $16
#1.
Set up fee=$38Cost per copy=$3Expression
[tex]\sf\longmapsto 38+3x[/tex]
#2
Set up fee=$34Cost per copy=$4Expression
[tex]\sf\longmapsto 34+4x[/tex]
Now
[tex]\sf\longmapsto 4x+34=3x+38[/tex]
[tex]\sf\longmapsto x=4[/tex]
There were 4copies
Amazon Inc. has been sued for following three alleged infringements of law: (1) Unauthorized use of a trademark; the claim is for $100 million (2) Nonpayment of end-of-service severance pay and gratuity to 5,000 employees who were terminated without Amazon Inc. giving any reason; the class action lawsuit is claiming $3 million (3) Unlawful environmental damage for dumping waste in the river near its factory; environmentalists are claiming unspecified damages as cleanup costs (4) Legal counsel is of the opinion that not all the legal cases are tenable in law and has communicated to Amazon Inc. this assessment of the three lawsuits: (5) Lawsuit 1: The chances of this lawsuit are remote. (6) Lawsuit 2: It is probable that Amazon Inc. would have to pay the displaced employees, but the best estimate of the amount that would be payable if the plaintiff succeeds against the entity is $2 million. (7) Lawsuit 3: There is no current law that would compel the entity to pay for such damages. There may be a case for constructive obligation, but the amount of damages cannot be estimated with any reliability. Required: What should be the provision that Amazon Inc. should recognize or the contingent liability that it should disclose in each of the lawsuits, based on the assessments of its legal counsel?
The International Financial Reporting Standards developed standards can
be implemented to ascertain the provisions and disclosures to be made.
The correct responses are;
According to the financial reporting standard, the contingent liability that
Amazon Inc. should disclose and the provision that Amazon Inc. should
recognize, based on the legal consent are;
Lawsuit 1: It is not required to make provision or disclosure because the
probability of the lawsuit progressing is remote and therefore, the
Company will not be required to payout money or lose economic benefits.
Lawsuit 2: The likelihood of the Company having pay the displaced
employees is high however, the amount payable is $2 million, and
therefore, a provision of $2 million is required in the financial reporting.
Lawsuit 3: The Company is not legally obliged to pay for or perform the
cleanup, but based on the relationship between the Company's waste
location, the river, and the community, there is a constructive obligation,
the amount of which cannot be determined with reliability.
Therefore, there is a requirement for disclosure as a contingent liability,
and not a provision as the claim cannot be classified as a provision.
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Two sides of a triangle measure 27 inches and 32 inches.
Which could represent the length of the third side?
Answer options:
5 in
59 in
7 in
62 in
Answer:
62 in
Step-by-step explanation:
the Hypotenuse of a triangle is always longer than the two other sides, 27 + 32 is larger than all but one of the options, 62. Making 62 the answer by process of elimination.
A car is travelling at a constant speed until the car’s brakes are applied. The car’s speed changes at a rate given by -0.08t ms^{-2} after the brakes are applied, where t s is the time since the brakes were applied. 3 seconds after the brakes are applied, the speed of the car is 5 ms^{-1} . How far will the car travel with the brakes applied before it stops?
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
The acceleration of the car after t seconds that the brake was applied is given as:
[tex]a=-0.08t m/s^2[/tex]
The speed of the car after 3 seconds that the brake was applied, u = 5 m/s
The speed of the car when it eventually stops, v = 0m/s
3 seconds after the brake was applied:
The time, t = 3 seconds
substitute t = 3 into the acceleration [tex]a=-0.08t m/s^2[/tex]
[tex]a=-0.08(3)m/s^2\\\\a = -0.24m/s^2[/tex]
To calculate the distance traveled by the car after the brakes are applied, use the equation below
[tex]v^2=u^2+2as[/tex]
Substitute u = 5, a = -0.24, and v = 0 into the equation above in order to calculate the distance
[tex]0^2=5^2+2(-0.24)s\\\\0=25-0.48s\\\\0.48s = 25\\\\s = \frac{25}{0.48}\\\\s = 52.08 m[/tex]
The car will travel a distance of 52.08 seconds will the brakes applied before it stops
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$10.25 per hour x 25 hours round to the nearest cent
Answer:
256.25
Step-by-step explanation:
$10.25 not taxed x 25
Please take a look at the picture
Answer:
D) The number that is 5 to the right of -6 on the number line
Hope this helps :)
What is 5 times 9 divided 5 add 40 subtract 100
Answer:
-51
Step-by-step explanation:
In a certain game, there are only two ways to score points; one way is worth 3 points, and the other is worth 5 points. If Tamsin's total score is 61, which of the following could be the number of 3-point scores that Tamsin had?
Answer:
20 three-point scores
61/3=20 R1
Answer:
7
Step-by-step explanation:
61 divided by 8 = 7 remainder 5
you can do 7 3's and 7 5's which would make 7x3 = 21 + 7 x 5 = 35 21 + 35 = 56
61 - 56 = 5 (add 1 to the amount of 5's)
7 3's and 8 5's
You may use a calculator for this item,
Zach, Kolby, and Peyton are investing a total of $360,000 to open a cottee shop Their investments are in the radio
1:2:0.5, respectively
How much has Zach invested, in dollars?
Enter your answer in the space provided
Based on the investment ratio and the amount invested, the amount that Zach invested is $102,857.14.
First thing to do is to add up the numbers in the ratio:
= 1 + 2 + 0.5
= 3.5
The amount that Zach invested is:
= Zach's ration/ Sum of ratio x Amount invested
= 1 / 3.5 x 360,000
= $102,857.14
In conclusion, Zach invested $102,857.14.
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Materials and labor for each pet groomed
costs $15. The business also has fixed costs
of $1,000 each month. Define a cost
function for this business.
Answer:
f(x) = 15x + 1,000
Step-by-step explanation:
y = mx + b
the 15 is the slope or rate and 1000 is the fixed value ( y intercept)
How to solve this question? Adding algebraic fractions
Answer:
it should be 2/12 and 9/11
Step-by-step explanation:
when 8 is subtracted from a certain number and the result is multiplied by 3 and the answer is 21 what is the original number
Step-by-step explanation:
The Real Answer Is 63
Maybe Positive Or Negative
Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm
Answer:b
:D
Step-by-step explanation:d
504
How are expressions 1/4 of 12 and 12 divided by 4
The cost of 1 m ribbon is ₹ 75. Find the cost of 7/5 metres of ribbon
Given that
The cost of 1 m ribbon = Rs.75
The cost of 7/5 m ribbon
→ (7/5)×75
→ (7×75)/5
→7×15
→₹ 105
The cost of 7/5 m ribbon is ₹105.