Answer:
[tex]\frac{\sqrt{3} }{2} }[/tex]
Step-by-step
substitute θ=30° into the expression
like this cos(30°)
and then use a calculator to calculate the expression
= [tex]\frac{\sqrt{3} }{2} }[/tex]
HERRRRRRRRRRRRRRRREEEEEEEEEEeee pt3
7 girls are dancing in Circular form. In how
many ways can they stand in circle?
Answer:
I'm sorry if i'm wrong but i think Its 6.
Step-by-step explanation:
Answer:
42 I believe
Step-by-step explanation:
They way I think about it is if you think about one girl there are 6 other girls around her and so on. So 6 times 7 is 42
But it could be a trick question and it only be 7, because a circle doesn't have a definite start place like a line
find the product m2n × mn2 × (-m3n3)
Answer:
-m^6n^6
Step-by-step explanation:
I think m2n means m^2n .
Jim is a 60-year-old Anglo male in reasonably good health. He wants to take out a $50,000 term (that is, straight death benefit) life insurance policy until he is 65. The policy will expire on his 65th birthday. The probability of death in a given year is provided by the Vital Statistics Section of the Statistical Abstract of the United States (116th Edition).
x = age 60 61 62 63 64
P(death at this age) 0.01030 0.01357 0.01609 0.01981 0.02362
Jim is applying to Big Rock Insurance Company for his term insurance policy.
(a) What is the probability that Jim will die in his 60th year? (Round your answer to five decimal places.)
Using this probability and the $50,000 death benefit, what is the expected cost to Big Rock Insurance?
$
(b) Repeat part (a) for years 61, 62, 63, and 64.
Year Expected Cost
61 $
62 $
63 $
64 $
What would be the total expected cost to Big Rock Insurance over the years 60 through 64?
$
(c) If Big Rock Insurance wants to make a profit of $700 above the expected total cost paid out for Jim's death, how much should it charge for the policy?
$
(d) If Big Rock Insurance Company charges $5000 for the policy, how much profit does the company expect to make?
$
The probabilities are solved and:
a) The expected cost at the age 60 is $ 515.
b)
Year Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
c) The policy should be priced at $4869.50.
d) The company expects to make a profit of $830.50.
Given data:
(a)
The probability that Jim will die in his 60th year is given as 0.01030.
The expected cost to Big Rock Insurance can be calculated by multiplying the probability of death at age 60 by the death benefit of $50,000:
Expected Cost at age 60 = (0.01030) * ($50,000)
Expected Cost at age 60 = $515
(b)
Expected Cost at age 61 = (0.01357) * ($50,000) = $678.50
Expected Cost at age 62 = (0.01609) * ($50,000) = $804.50
Expected Cost at age 63 = (0.01981) * ($50,000) = $990.50
Expected Cost at age 64 = (0.02362) * ($50,000) = $1181
Year Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
(c)
The total expected cost to Big Rock Insurance over the years 60 through 64 can be obtained by summing up the individual expected costs:
Total Expected Cost = $515 + $678.50 + $804.50 + $990.50 + $1181 = $4169.50
To make a profit of $700 above the expected total cost, Big Rock Insurance should charge:
Policy Price = Total Expected Cost + Profit
= $4169.50 + $700
= $4869.50
Therefore, the policy should be priced at $4869.50.
(d)
If Big Rock Insurance charges $5000 for the policy, the expected profit can be calculated as:
Expected Profit = Policy Price - Total Expected Cost
= $5000 - $4169.50
= $830.50
Hence, the company expects to make a profit of $830.50.
To learn more about probability distribution, refer:
https://brainly.com/question/11425427
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The probabilities are solved and
a) The expected cost at the age 60 is $ 515.
b)
Year/Age Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
c) The policy should be priced at $4869.50.
d) The company expects to make a profit of $830.50.
How to compute the probability, expected cost, policy price and expected profit.(a) The probability that Jim will die in his 60th year is given as 0.01030.
The expected cost to Big Rock Insurance can be calculated by multiplying the probability of death at age 60 by the death benefit of $50,000 -
Expected Cost at age 60 = (0.01030) * ($50,000)
= $515
(b)
Expected Cost at age 61 = (0.01357) * ($50,000) = $678.50
Expected Cost at age 62 = (0.01609) * ($50,000) = $804.50
Expected Cost at age 63 = (0.01981) * ($50,000) = $990.50
Expected Cost at age 64 = (0.02362) * ($50,000) = $1181
Thus,
Year/Age Expected Cost
61 $678.50
62 $804.50
63 $990.50
64 $1181
(c)
The total expected cost to Big Rock Insurance over the years 60 through 64 can be obtained by summing up the individual expected costs:
Total Expected Cost = $515 + $678.50 + $804.50 + $990.50 + $1181
= $4169.50
To make a profit of $700 above the expected total cost, Big Rock Insurance should charge -
Policy Price = Total Expected Cost + Profit
= $4169.50 + $700
= $4869.50
Thus it is correct to state that the policy should be priced at $4869.50.
(d) If Big Rock Insurance charges $5000 for the policy, the expected profit can be calculated as:
Expected Profit = Policy Price - Total Expected Cost
= $5000 - $4169.50
= $830.50
Hence, the company expects to make a profit of $830.50.
Learn more about probability at:
https://brainly.com/question/23417919
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15y + (x + 9y) = ? someone halp
Answer:
x = -24ySimplifying
15y + (x + 9y) = 0
Remove parenthesis around (x + 9y)
15y + x + 9y = 0
Reorder the terms:
x + 15y + 9y = 0
Combine like terms: 15y + 9y = 24y
x + 24y = 0
Solving
x + 24y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-24y' to each side of the equation.
x + 24y + -24y = 0 + -24y
Combine like terms: 24y + -24y = 0
x + 0 = 0 + -24y
x = 0 + -24y
Remove the zero:
x = -24y
Simplifying
x = -24y
Step-by-step explanation:
Simplify the expression by combining like terms.
2x + 4y + 6 + 2y - 5 + 3x 
Use the distributive property to solve: 5(x – 2)
Answer:
5x-10
Step-by-step explanation:
Answer:
5x-10
Step-by-step explanation:
5(x-2)
5(x)=5x
5(-2)=-10
5x-10
2500 square yards to square meters
Answer:
2090.318 square metres
what is X decreased by 61%
Select all the numbers that show 1/2% as an equivalent fraction, decimal, or percent.
Need help extra points and mark brainlyist
I NEED HELP NOW!!!!what is 5+5?!?!?!!
Answer: its 20 bro i got you
Step-by-step explanation:
Pls help extra points.
solve the literal equation
6/p=x+a for p
Help me please!! And have a good day
Max delivers 8,520 pieces of mail in one year. If he delivers the same number of pieces of mail each month, about how many pieces of mail does he deliver in 2 months? Solve the problem and explain the steps you took to solve.
Answer:
Because there are 12 months in a year the ratio of the number of pieces of mail Max delivers in 12 months can be written as: 852012 or 7101 (720 pieces of mail per month).
Answer:
He would deliver 1420 mails in 2 month's
Step-by-step explanation:
First, I divided 8,520 by 12 because 12 month's in one 1 year
Then, I get 710, that is the amount he delivers each month
Lastly, I multiply 710 by 2 because that is the amount for 2 month's and it equals 1,420 so, the answer is 1,420 :)
What is the answer to this?
Answer:
Since 5 tenths is 5 over ten, 5 tenths as a Fraction is 5/10. If you divide 5 by ten you get 5 tenths as a decimal which is 0.50.
Step-by-step explanation:
if im right Brainliest?
Find the slope of the linear function.
12x = -10 + 2y
Slope =
Blank 1:
a forest covers 58,000 acres. A survey finds that 0.2 of the forest is old-growth trees. how many acres of old-growth trees are there?
is a spray bottle a gallon pint quart or cup
Answer:
most bottles are
about 2 pints
Step-by-step explanation:
Plz mark brainliest!
Answer:
I depends on the size a big can have 2 cups ,a medium can have 1 cup and the small has 2 pints
Step-by-step explanation:
What is the solution to the system of equations graphed below? (-5,1). (1,-5). (3,-4). (-4,3)
Answer:
(-5,1)
Step-by-step explanation:
Because the red line (graphical representation of one equation) and the blue line (graphical representation of the other equation) intersect at (-5,1), the solution to the systems of equations is (-5,1).
Hi everyone! I have a question!
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations.) THANKS!!!!!!
Answer:
7π
Step-by-step explanation:
SO first find the area of the whole circle
which has a radius of 3
a=πr^2
So 3^2=9
9π
Now the two circles which are the same in area due to having the same radius
so if you plug in the 1 for radius the answer would just be π or 1π
now multiply that by 2 becuase there are 2 identical circles
π*2=2π
Now subtract
9π-2π=7π
Answer:
Step-by-step explanation:
area of unshaded circle:
A=π*r^2=π*1=π
we have 2 circles so the area of both circles are 2π
area of the large circle is A(l)=Π*3^2=Π*9=9Π
area of the shaded region: A(s)=9Π-2Π=7Π
Question 2 of 10
How many solutions are there to the equation below?
11x + 25 = 7x + 15
In ΔFGH, f = 83 inches, g = 11 inches and ∠H=60°. Find the length of h, to the nearest inch.
Answer: 78
Step-by-step explanation:
The length of h to the nearest inch is 78 inches.
What is Law of Cosines?Law of cosines of triangle states that for three length of sides of the triangle, a, b and c opposite to the angles A, B and C respectively can be related as,
a² = b² + c² - 2bc cos(A)
Given that, In ΔFGH,
f = 83 inches, g = 11 inches and ∠H = 60°.
Using the law of cosines,
h² = f² + g² - 2fg cos(H)
Substituting,
h² = 83² + 11² - (2 × 83 × 11) cos (60°)
= 7010 - (1826 × 1/2)
= 7010 - 913
= 6097
h = √6097 = 78.083 inches ≈ 78 inches
Hence the length of h is 78 inches.
Learn more about Law of Cosines here :
https://brainly.com/question/17289163
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PLEASE I NEED THIS ANSWER AND IM OUT OF SCHOOL FOR THE WEEKEND
Answer:
11
Step-by-step explanation:
A triangle has 180 degrees, and two of them are given, so you subtract them from 180 to 110. But since it is 10x, you have to divide by 10 to get your answer.
(hope this helps!)
How many buttons are there in a Fionas Fashion shirt , and how many buttons are there in a jacket ?
Answer:
842
Step-by-step explanation:
Fiona's Fashion Store is world renowned for its buttoned uniforms. A collection of 36 shirts and 42 jackets contains 842 buttons. Additionally, a collection of 6 shirts and 7 jackets contains 137 buttons.
3 1/4 times 7/8 simplified!!!
Answer:
2 27/32
Step-by-step explanation:
An opera singer teaches singing classes to teens. She teaches 96 teens in all. One-third of her
students are boys. How many boys are in the singing?
Answer:
32
Step-by-step explanation:
1/3x96= 31.999
Step-by-step explanation:
There are 96 students in total.
1/3 of total students = 96 * (1/3) = 32.
Since 1/3 of total students are boys,
there are 32 boys in the singing.
A glass is
1
-
3
full. Then 63cm3 of orange juice is poured in.
The glass is now
5
-
8
full.
What is the total volume of the glass?
Step-by-step explanation:
x=volume of the glass
(1/3)x+63=(5/8)x
63=(5/8)x-(1/3)x
63=(15/24)x-(8/24)x
63=(7/24)x
multiply both sides by 24/7
(24/7)(63)=(24/7)(7/24)x
216=x
216 cm3 is the volume (answer)
1/3 of 216 is 72
72+63=135
135/216=0.625=5/8
Please Help
2/3(9x−15)−4x −5
c) x 3
Answer:
2/3 . 9x-2/3. 15-4x-5
=2 .3x -2 .5-4x-5
=6x-10-4x-5
=2x-5