Answer:
For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
Step-by-step explanation:
1/1000 chance of winning.
This means that there is an 1/1000 probability of you earning $500.
1 - 1/1000 = 999/1000 chance of losing.
In this case, you earn nothing.
What is your average payoff from many tickets
[tex]A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5[/tex]
Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
Mr.moss has 4 gallons of paint. He painted 8 doors. How many benches can he paint with the paint that is left
Answer:
2
Step-by-step explanation:
I did 8 divided by 4 which is 2.
I hope this helps.
How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that the remaining solution contains 5% juice?
Answer:
20 gallons
Step-by-step explanation:
10 gallons of solution w/ 15% juice means 1.5 gal of juice
to make it into 5%, multiply 1.5 by 20
1.5 x 20 = 30
5% of 30 gallons is 1.5 since 10% of 30 is 3.
Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.
I hope this helps thanks
Answer:
What is the amount of juice in the original solution? a =
✔ 1.5
What is the original amount of solution in gallons? b =
✔ 10
How much juice is added? c =
✔ 0
How much total solution is added? d =
✔ x
Step-by-step explanation:
Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.
Answer:
6 feet
Step-by-step explanation:
Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;
Area scale factor = [tex](linear scale factor)^{2}[/tex]
linear scale factor = [tex]\sqrt{Area scale factor}[/tex]
Area scale factor = [tex]\frac{98}{18}[/tex]
So that,
linear scale factor = [tex]\sqrt{\frac{98}{18} }[/tex]
= 2.3333
The length of side of polygon A = [tex]\frac{14}{2.3333}[/tex]
= 6.0085
Therefore, the corresponding side length of polygon A is 6 feet.
Paz has $18 in her wallet. This is 3 times the money in her pocket. Write and solve an equation to find how much money Paz has in her pocket.
3x=18
x= 6
6 dollars in pocket
Answer:
32+s=55
Step-by-step explanation:
Sarah is saving money to buy a jacket that costs $47. She has already saved $25. Write an equation to find out how much more money Sarah needs to save, using x, to represent how much more she needs to save.
Using the provided measures determine the measure of angle K.
A)30.5°
B)34.90
C)41.2°
D)58.0°
Answer:
B. 34.90°
Step-by-step explanation:
✔️First, find GF using Trigonometric function:
Reference angle = 58°
Adjacent length = GF
Hypotenuse = 6 cm
Apply CAH, thus:
Cos 58 = Adj/Hyp
Cos 58 = GF/6
GF = 6*Cos 58
GF = 3.17951558 ≈ 3.18 cm
✔️Find angle K using the Sine Rule:
[tex] \frac{sin(K)}{GF} = \frac{sin(G)}{KF} [/tex]
Substitute
[tex] \frac{sin(K)}{3.18} = \frac{sin(64)}{5} [/tex]
Multiply both sides by 3.18
[tex] sin(K) = \frac{sin(64)}{5}*3.18 [/tex]
[tex] sin(K) = 0.5716 [/tex]
[tex] K = sin^{-1}(0.5716) [/tex]
K = 34.8618741° ≈ 34.90°
The question is : -8(5x-3)+2x
Answer:
-38 + 24
Step-by-step explanation:
-40x + 24 + 2x
= -38x + 24
Write an equation in point slope form of equation of line
point (7,10) and has a slope of -2?
Answer:
[tex]y-10=-2(x-7)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where [tex]m[/tex] is the slope and [tex](x_1,y_1)[/tex] is the given point
Plug in the slope
[tex]y-y_1=-2(x-x_1)[/tex]
Plug in the given point (7,10)
[tex]y-10=-2(x-7)[/tex]
I hope this helps!
A bus can hold a total of 60 students. The bus is 73% full how many students are on the bus?
Answer:
44
Step-by-step explanation:
so youre looking for 73% of students rite? of means multiplication , you just times 73% by 60
73%*60=43.8
but there cant be point 8 of a person unless theyre missin a couple limbs, so you round up to 44!
hope it helps :)
In ΔEFG, e = 4.7 inches, f = 4.8 inches and g=3.6 inches. Find the measure of ∠E to the nearest 10th of a degree.
Answer:66.3
Step-by-step explanation:
Does the graph show a proportional relationship between time and the total charge? Explain.
what do you understand by resultant of a force
Answer:
When a system of forces is acting on an object, the difference between the forces is called the Resultant force. For example, a 3N force to the left and 10N force to the right gives a resultant force of 7N to the right.
Step-by-step explanation:
A boy is flying a kite and has let out 300 feet of string. He notices that the angle the string makes with the ground is 38 degrees. How high over the ground is the kite?
Answer:
height = 184.7 feet
Step-by-step explanation:
sin 38 = height/300
0.6157 = height/300
height = 184.7 feet
Find the value of the expression a--b* for a = 2 and b= 1
Answer:
3
Step-by-step explanation:
Given the expression a --b
Given that
a = 2
b = 1
Substitute into the expression
a--b
= 2 --1
= 2 - (-1)
= 2 + 1
= 3
Hence the required value is 3
Jake cuts out five-pointed stars. They are different sizes, but they
all have the same shape. The side lengths within each star are the same.
To find the perimeter of each star, Jake uses the expression
12£ + ½ - 4€ - 8.5 + 2€ + 8, where e is the side length of the star.
Find the perimeter of a star with side length 6 inches. :( pls help me
can somebody help me?
Answer:
D
Step-by-step explanation:
Riley bought 50 foot or rope. He cut off pieces that total 34’8” so far. How much rope does he have left
Answer:
the answer is 15'2" of the rope that is left
Step-by-step explanation:
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Answer:
18 units square
Step-by-step explanation:
Given
The attached trapezium
Required
Determine the area
From the attachment, the height, h is:
[tex]h = 3\ units[/tex]
And parallel sides are:
[tex]s_1 = 3[/tex]
[tex]s_2 = 9[/tex]
So, the area is calculated as:
[tex]Area = \frac{1}{2}(s_1 + s_2) * h[/tex]
[tex]Area = \frac{1}{2}(3 + 9) * 3[/tex]
[tex]Area = \frac{1}{2} * 12 * 3[/tex]
[tex]Area = \frac{36}{2}[/tex]
[tex]Area = 18[/tex]
ABC Bank requires a 20% down payment on all of its home loans. If a house
is priced at $145,000, what is the amount of the down payment required by
the bank?
O A. $290,000
O B. $18,000
O C. $29,000
O D. 814,500
Corrine earned $67.25 waiting tables, plus another $45.45 in tips. How much did she earn altogether?
Answer:
$112.70
Step-by-step explanation:
$67.25 + $45.45 = $112.70
There are 4 oranges, 7 bananas, and 5 apples in a fruit basket.
Ignacio selects a piece of fruit at random and then Terrance
selects a piece of fruit at random.
probability of two bananas
p( two bananas )
.hnsxasy543esx nuyAtre
3 tons of cement cost $780.00. What is the price per pound?
Answer:
$260
Step-by-step explanation:
Divide $780.00 by 3.
780 ÷ 3 = $260
What is the perimeter of the shape?
40 feet
43 feet
51 feet
67 feet
Answer:
201
Step-by-step explanation:
40+43+51+67=201
Answer:
its 40
Step-by-step explanation:
Please Help, what is the answer
Answer:
The correct option is (2).
Step-by-step explanation:
We need to find the value of the given expression i.e.
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}[/tex]
We can calculate it as follows :
[tex]\dfrac{(8x^6)^2}{(4x^2)^3}=\dfrac{8^2\times (x^6)^2}{(4)^3\times (x^2)^3}\\\\=\dfrac{x^{12}}{x^6}\\\\=x^6[/tex]
So, the final answer is x⁶. The correct option is (2).
Simplify the expression:
2n + 10(9 + 4n)
Answer:
42n+90
Step-by-step explanation:
Which is larger ? A : 13 + 1.05g B : 12 + 1.50g
please help asap !!! In the graph shown above, which line has a slope value less than −2
Answer: Line J
A is the answer
what is the complement and supplement of 35 degrees
Answer:
it's compliment is 55 degrees (55+35 = 90 degrees)
it's supplement is 145 degrees (145 + 35 = 180 degrees)
Step-by-step explanation:
Write an equivalent expression for each operation.
(3 + 2i) + (4 + 5i)
Help me plz ASAP
Answer:
The equivalent expression is [tex]7(1+i)[/tex]
Step-by-step explanation:
Additional of complex numbers:
When we add complex numbers, we add both it's real parts and imaginary parts.
In this question:
[tex](3 + 2i) + (4 + 5i) = 3 + 4 + (2+5)i = 7 + 7i = 7(1+i)[/tex]
The equivalent expression is [tex]7(1+i)[/tex]
Every morning, Jim goes for a morning walk. His normal walking speed is 3 1/2 km per hour, and he walks
a total distance of 10 km every day. How much time does he take to cover one km?
minutes
Answer:
29 1/31 minutes
y-2=-5(x-2) slope intercept form
Answer:
y = -5x + 12
Step-by-step explanation:
slope intercept form is where you simplify it and get the y by itself, so:
[tex]y-2 = -5(x-2)\\y-2 = -5x+10\\y = -5x+ 12[/tex]