The company's expectation is $486.26.
Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:
(12000 x 0.069941 / 100) + (495 x (100 - 0.069941) / 100) = X -8.39292 + 494.65379205 = X 486.26 = X
Therefore, the company's expectation is $486.26.
Learn more about maths in https://brainly.com/question/3554632
From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The balloon’s vertical distance above the ground is 556 feet
The set up will form a right triangle.
Given the following parameters
Angle of depression = 29 degreesHorizontal distance = 1004 feetTo get the height above the ground, we will use the SOH CAH TOA identity as shown;
Opposite = h
Adjacent = 1004 feet
Tan theta = h/1004
Tan 29 = h/1004
h = 1004 tan 29
h = 1004(0.5543)
h = 556.52 feet
Hence the balloon’s vertical distance above the ground is 556 feet
Learn more on angle of depression here: https://brainly.com/question/23497407
The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?
40 feet
4/33feet
16/33feet
20/33feet
NEED HELP JUST SEND ME QUESTIONS
100 points please help will give brainliest
Answer:
The two angles ADB and BDC are congruent since they are both right angles.
The segment AD and CD are congruent since D is the midpoint of AC.
Segment BD is in common for the two triangles.
The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED
Pls help I’ll brainlest ASAP
Answer:
slope = change over y/change over x
point 1: (-3,-4)
point 2: (2,3)
(-4-3)/(-3-2)=(-7)/(-5)=7/5
y=mx+b -> m=slope, b=y-intercept
y=(7/5)x+b
plug in one of the points
3=(7/5)*2+b
3=14/5+b
b=1/5
slope = 7/5, y-intercept = (0,1/5)
The domain of y = cosx is the set of real numbers. True False
Answer:
true
Step-by-step explanation:
help with this please
Answer:
8
Step-by-step explanation:
we conformed the 8s by 4 and 3
PLEASE HELP DUE NOW!!
Answer:
✓ C. f(x)= sqrt 1/x
Step-by-step explanation:
i hoep this answer your question
Find the coefficient of x in the polynomial ( 4y - 13 - 5z - 4x )
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
the coefficient of x in the polynomial ( 4y - 13 - 5z - 4x ) is -4Answer:
[tex]\huge\boxed{\sf -4}[/tex]
Step-by-step explanation:
The given polynomial is:
4y - 13 - 5z - 4x
Coefficient:
The term/number (along with the sign) with that certain variable is called coefficient.
x has the coefficient of :
-4 (number along with x)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Find the slope of the line.
Enrique bought a football and a puzzle at a store.
He paid $15.35 for the football.
He paid a total of $24.02 for the football and the puzzle.
How much did Enrique pay for the puzzle, in dollars and cents?
Answer:
8 dollars and 67 cents...8.67
Step-by-step explanation:
5 dollar bill
3 one dollar bills
2 quarters
1 dime
1 nickel
2 pennies
If we identify the points as follows, what are
the inputs to the slope formula?
(-1, -2) and (3, 0)
Answer:
B
Step-by-step explanation:
Answer:
it is -2
Step-by-step explanation:
i got it right
what is the value of x?
Answer:
132
Step-by-step explanation:
corresponding angles are the same
Carlos is at the store buying pencils. There is a package with 4 pencils that
costs $5 or a package with 5 pencils that costs $6. Which package is the
better buy?
A. The $6 package, because each pencil costs $1.20.
B. The $6 package, because each pencil costs $0.83.
C. The $5 package, because each pencil costs $1.25.
D. The $5 package, because each pencil costs $0.80.
Answer:
The best answer would be A. because 6 divided by 5 is 1.20. Pls give me brainliest because i am trying to rank up.
Step-by-step explanation:
Integrated project 4
Answer:
what about the integrated project please
Which of the following is a right triangle based on the given figure?
Answer:
BDE
Step-by-step explanation:
Lila earns 2,725,98 per month how much money does she have left after paying all these bills
Rent 1,250,00 groceries 325,78 electricity 55,27
Answer:
$1,094.93
Step-by-step explanation:
The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.
This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93
Which of the following is a correct interpretation of the expression 3+(-7)
Thanks
[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]
Step-by-step explanation:
The correct interpretation of 3+(-7) is 3-7, simply
Answer:
The answer will be
3+(-7)
The sum of positive and negative is negative
So 3+(-7) is 3-7
= -4
Step-by-step explanation:
Hope it helps
Please Mark as brainliest
Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]
Immediately, by definition of cotangent, we find
tan(α) = 1/cot(α) = 1/(-√3)
⇒ tan(α) = -√3
Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.
Recall the Pythagorean identity,
cos²(α) + sin²(α) = 1
Multiplying both sides by 1/sin²(α) recovers another form of the identity,
cot²(α) + 1 = csc²(α)
Solving for csc(α) above yields
csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4
⇒ csc(α) = 2
⇒ sin(α) = 1/2
Solve for cos(α) using the first form of the Pythagorean identity:
cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)
⇒ cos(α) = -√3/2
⇒ sec(α) = -2/√3
Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?
Answer:
Calvin's number: 16 Sanjay's number: 6
Step-by-step explanation:
6 x 3 = 18, 18 - 2 = 16
16 / 2 = 8, 8 - 2 = 6
0.03249 in standard form to 3 significant figures is
(A) 3.24 × 10−1
(B) 3.24 × 10−2
(C) 3.25 × 10−2
(D) 3.25 × 10−3
If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.
If ^ ABC ≈ ^ DEC, what is the value of x?
Answer:
D. x=1
Step-by-step explanation:
4x-1=x+2
you cancel out the 1 by adding it to both sides so then it will be 4x=x+3
then subtract x by both sides then it will be 3x=3
then simplify then it will be x=1
What is the area of a triangle with a base of √10 and a height of √13
Answer:
5.691
Step-by-step explanation:
v10=3.162 and v13=3.605
so 3.162x3.605= 11.383
the 11.383 divided by 2 = 5.691
Someone help me it’s number 12
You need to find the x value
Help me please, thank you very much.
Answer:
8.9274
Step-by-step explanation:
you need to square both sides then add it together and then find the square root of the new number
The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?
Answer:
Mr. Pham should expect about 45165 books to have no damage or minor damage.
my bro has homework and he needs help but I don't have the time to help him
Answer: 25
Step-by-step explanation:
Subtract 46.50 - 46.25 and you’ll get 25
2 1/2 divided by 5/2
[tex]\dfrac{2 \tfrac 12 }{\tfrac 52}\\\\\\\\= \dfrac{\left(\tfrac 5 2\right)}{\left(\tfrac 52 \right) }\\\\\\\\=1[/tex]
What is the equation, in point-slope form, for a line that goes through (2, – 6) and has a slope of -3/4?
y-6 = 3/4 (x-2)
y–6=-3/4(x+2)
y+6= -3/4 (x+2)
y+6= -3/4 (x– 2)
Answer:
y+6=-3/4(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=-3/4(x-2)
y+6=-3/4(x-2)
