The ratio of red to blue marbles in a bag is 2:5. If there are 65 blue marbles in the bag, how many red marbles are there? Let x represent the number of red marbles. Set up a proportion and cross multiply to solve.
Answer:
first get the total ratio; 2 + 5 = 7
so the fraction of blue marbles is 5/7
then assume the number of total marbles to be k
then use the expression;
5/7*k = 65
7*5/7 * k = 65*7
5k =455
5/5k = 455/5
k = 91
then calculate the number if red marbles from;
x = 2/7*91
x = 26
Therefore there are 26 red marbles.
There is a 0.9987 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $186 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below.
Parts a through c is missing and it is;
a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?
The value corresponding to surviving the year is $_____.
The value corresponding to not surviving the year is $_____.
b) If the 33-year-old male purchases the policy, what is his expected value?
The expected value is $_____.
c) Can the insurance company expect to make a profit from many such policies? Why?
_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.
Answer:
A) the value that corresponds to surviving the year = - $186
The value corresponding to not surviving the year = $99814
B) μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
Step-by-step explanation:
A) The company charges $186 for insuring. Thus;
Amount paid out = - $186
Therefore, the value that corresponds to surviving the year = - $186
Therefore, the value corresponding to not surviving the year = $100000 - $186
The value corresponding to not surviving the year = $99814
B) since probability that a 31 year old male survives is 0.9987, then;
Probability that a male doesn't survive is;
P(doesn't survive) = 1 - 0.9987
P(doesn't survive) = 0.0013
The expected value is calculated from;
μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)
μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
A cake weights 900 g. Paul cuts it in 4 pieces. The biggest piece weighs as much as the 3 other pieces weigh together. What is the weight of the biggest piece?
Answer:500 g
Step-by-step explanation:
Latoya buys a board that is 8 feet long. She cuts 3 1/2 feet off to make a shelf , and 2 feet off to make a sign. She divides the rest equally to make 2 trays. What is the length of one tray, in inches?
Answer:
1 1/4 feet
Step-by-step explanation:
3 1/2 feet + 2 feet = 5 1/2 - 8 = 2 1/2 ÷ 2 = 1 1/4
calculate the first four terms t=3n+2
Answer:
[tex]n = \frac{t - 2}{3} [/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]t - 2 = 3n[/tex]
2) Divide both sides by 3.
[tex] \frac{t - 2}{3} = n[/tex]
3) Switch sides.
[tex]n = \frac{t - 2}{3} [/tex]
Therefor, the answer is n = t-2/3.
hey can you state what's wrong in the given solution.
=》
[tex]0 = 0[/tex]
we know, zero is always equal to zero
=》
[tex]16 - 16 = 20 - 20[/tex]
because, 16 - 16 = 0
and 20 - 20 = 0
=》
taking 4 as common from 16 - 16 and 5 as common from 20 - 20
[tex]4(4 - 4) = 5(4 - 4)[/tex]
now dividing both sides by
(4 - 4)
=》
[tex] \frac{4(4 - 4)}{(4 - 4)} = \frac{5(4 - 4)}{(4 - 4)} [/tex]
=》
[tex]4 = 5[/tex]
because, (4 - 4) in denominators of both sides cancels out (4 - 4) in numerator of both sides.
=》
[tex]2 + 2 = 5[/tex]
we know, 4 = 2 + 2 , so plugging (2 + 2) in place of 4
Answer:
i also guess 2+2=4 not 5 ╮(╯▽╰)╭
BEST ANSWER GETS BRAINLIEST, THANKS ON ANSWER, AND THANKS ON YOUR PROFILE!
Answer:
The answer is 35 degrees because 60-25=35.
Step-by-step explanation:
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful
HELP giving brainlest and extra points
divide tomato genome and human genome and you'll get
= 0.3
standard form is
3 × 10-¹
An even number is divisible by 2.
if - then :
hypothesis:
conclusion:
Answer:
A logical sentence is written as:
If P, then Q.
Where:
P = hypothesis
Q = conclusion.
For this particular case, we know that a number is even only if the number is divisible by 2.
Then we can write:
if a number is divisible by 2, then it is an even number.
Here we have:
hypothesis = a number is divisible by 2.
conclusion = the number even.
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
Sam plays a basketball training game, she gets s points for every basket. The equation ya shows the total number of points she scores, which depends on the Belect the graph with the correctly labeled aves for
Answer:
Step-by-step explanation:
On my screen it is C. Which is number of baskets on the bottom and total pints in the side. Hope this helps:)
SOMEONE HELP ME PLSSSSSSS
Answer:
y = 8x
Step-by-step explanation:
hope this is what u need if not comment and I'll change it
<3
A shaded semicircle is inside a circle as shown.
Answer:
Answer is on the picture
Step-by-step explanation:
Answer is on the picture
I need help Please and Thank you
Answer:
the median should be 2.5
Answer:
2.5
Step-by-step explanation:
By taking the dots ploted on the graph we can take those as actual numbers and put them on a line.
0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5
Now you will take off the numbers until you get to the middle number
0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5
Because the middle two numbers are 2 and 3, you take the mean of the two numbers.
(2 + 3) / 2
= 2.5
Suppose a book has been on a desk 1 m above the floor. A student accidentally knocks the book off of the desk and it falls to the floor. During this process, ___________ energy has been changed into _______ energy.
Answer: Potential; Kinetic
Step-by-step explanation:
''...During this process, potential energy has been changed into kinetic energy.''
Potential energy is the energy that a stationery object has because it is stored within the object. In this case the object is the book.
When an object begins to move, it gains kinetic energy which is converted from its potential energy. As the book falls to the floor in this scenario, it gained kinetic energy as its potential energy was converted to enable it move.
Question 1
1.1
The difference between two numbers is 308328.If the smaller number is
6524, what is the larger number?
-(2) maths
Answer:
Let get small number is x and large number is y.
The difference between two numbers is 308328.
ie. y- x = 308328.
If the smaller number is
6524.
So, x= 6524.
Hence,
y - x = 308328
y- 6524 = 308328
y = 308328 + 6524
y = 314852
Step-by-step explanation:
Today, everything in the store is on sale. The store offers a 20% discount.
A) The regular price of a t-shirt is $18. What is the discount price?
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
C) The discount price of a hat is $18. What is the regular price?
A) The regular price of a t-shirt is $18. What is the discount price?
$14.4
B) Which equation represents this problem?
a) y = 0.8x b) y = 0.2x c) y = 1.80x d) y = 1.20x
The answer would be B.
C) The discount price of a hat is $18. What is the regular price?
22.5
Hope it helped!! ^^
Note: if you need me to explain i Would be happy to do so! :)
Pls help me find v,w,x,y, and z pls help me I will mark u brainlest
Answer:
v 39 degree
z 47 degree
x 94 degree
sry don't know about w and y....
i need help solving the paint questions
For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)
What is the product of -3 1/3 and -8 7/10?
Answer:
29
Step-by-step explanation:
-3 1/3 • -8 7/10
-10/3 • -87/10
870/30
29
Divide. Give the quotient and remainder.
20,226/4
Answer:
5,056.5 is the answer of 20226 /4
write an equation of the line that passes through the given points (3,1) (0,10)
Answer:
y = -3x + 10
Step-by-step explanation:
10-1/0-3 = -3
y = -3x + b
1 = -3(3) + b
1 = -9 + b
10 = b
check your answer:
10 = -3(0) + 10
10 = 10
b should be 10
five less than three time a number is greater than two thrirds of that number
Answer:
3x - 5 > 2/3x
Step-by-step explanation:
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
please helppp will give brainliest
Answer:
[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.
Step-by-step explanation:
Dividing a fraction is the same as multiplying the reciprocal of the second fraction.
[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]
[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex] Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.
So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .
I hope this makes sense!! ^-^
2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution
Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
What is the total surface area??
Answer:
216
Step-by-step explanation:
Use geometric formulas to solve for each individual SIDE of the triangular prism
TOP and BOTTOM TRIANGLE sides:
[tex]\frac{ab}{2}[/tex] [tex]\frac{6(8)}{2}[/tex] <--- times 2 because we have TWO identical triangle sidesRIGHT RECTANGULAR side from our perpsective:
LxW8(7)FRONT RECTANGULAR side:
LxW7(6)BACK RECTANGULAR side:
LxW7(10)Now you add all of those formulas together for your answer.
[tex]\frac{6(8)}{2}[/tex] + [tex]\frac{6(8)}{2}[/tex] + 8(7) + 7(10) + 7(6)
= 216
What is the sum of the interior angles of a regular polygon with 42 sides?
Answer:
42
Step-by-step explanation:
A regular polygon with 42 sides where the length of each side is 2 units. The units may either be inches or cm or km or miles: any unit of length.
You are given a Regular Polygon with 42 sides. What are the interior angles and exterior angles?
If the length of each side is 2 units, what is the perimeter, area, circum-radius and in-radius of the polygon?
n = 42
Perimeter of a polygon with 42 sides = (side length) x 42 = 84 units
Area of a polygon with 42 sides = (n x Side2 x cot (Π/n))/4 = (n x 22 x cot (Π/42))/4 = 560.45 square units
Sum of the interior angles of a polygon with 42 sides = (n-2) x 180 degrees = (42-2) x 180 degrees = 7200 degrees
Interior Angle of a polygon with 42 sides = (n-2) x 180/n degrees = (42-2) x 180/42 degrees = 171.42 degrees
Exterior angle of a polygon with 42 sides = 180 - Interior Angle = 180 - 171.42 = 8.57 degrees
Inradius = Radius of In-circle = (side length) x cot (Π/42) = 2 x cot 4 = 26.68 units
Circumradius = Radius of Circum-circle = (side length) x cosec (Π/42) = 2 x cosec 4 degrees = 26.76 units
Symmetry Group = D42 42 rotational symmetries and 42 reflection symmetries. The "D" stands for di-hedral.
anyone knows the answer
Answer:
it might be 390
Step-by-step explanation:
hope this helps