The expected value based on the probability will be 3/7.
How to calculate the probability?
Landing on the blue sector will give 3 points = 3/7 points
Landing on a yellow sector will give 1 point = 2/7 points
Landing on a purple sector will give 0 points = 0 points
Landing on a red sector will give –1 point. = -2/7 points
The expected value will be:
= 3/7 + 2/7 + 0 - 2/7
= 3/7
The change to the values assigned to outcomes to make the game fair is to make 3.5 points for landing on the blue sector.
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K=1/2mv square root of 2
rearrange for m:
Answer: V = The square root of (2K/M)
We are starting with the formula: K = 0.5MV^2
Our first steps to isolate V would be to multiply by 2 and divide by M on both sides of the equation.
2K/M = V^2
Now, we just have to take the square root of both sides of the equation
The equation rearranged for m is [tex]m = (2K) / v^2[/tex].
This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.
To rearrange the equation [tex]K = (1/2)mv^2[/tex] for m, we can follow these steps:
Step 1: Multiply both sides of the equation by 2 to remove the fraction:
[tex]2K = mv^2[/tex]
Step 2: Divide both sides of the equation by[tex]v^2[/tex] to isolate m:
[tex](2K) / v^2 = m[/tex]
Therefore, the equation rearranged for m is [tex]m = (2K) / v^2[/tex].
This equation allows us to calculate the mass (m) when the kinetic energy (K) and the velocity (v) are known.
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Which letter matches the coordinate (4, -6)?
Helpppp plsss
Answer:The answer is z
Step-by-step explanation:
please help
and if you cant see its going from 1-9
Answer:
F
Step-by-step explanation:
for example point A is (3:6)
if we multiply the coordinates by 2/3 we have:
A1 (2; 4) that are the coordinate of the new point
please help in this one
Answer: [tex]49.79\ m[/tex]
Step-by-step explanation:
Given
The volume of the spherical solid is [tex]V=123,456\ m^3[/tex]
It is melted to form a solid cube
Suppose the edge length of the cube is [tex]a[/tex]
The volume of the sphere is [tex]\frac{4}{3}\pi r^3[/tex]
[tex]\Rightarrow 123,456=a^3\\\Rightarrow a^3=123,456\\\text{Factorising 123,456}\\\Rightarrow a^3=2^6\times 3\times 643\\\\\Rightarrow a=\sqrt[3]{2^6\times 3\times 643} \\\\\Rightarrow a=4\sqrt[3]{ 3\times 643}\\\\\Rightarrow a=49.79\ m[/tex]
in a school the ratio of the number of pupils to the school of teachers is 20 ;1 if the number of pupils is 840 how many teachers are there?
Answer:
42
Step-by-step explanation:
[840/20]*1=42
Answer:
the correct answer is that the will be 42 teachers
Step-by-step explanation:
1/20x840
=42
320 divided by 60=
Will give brainliest
Answer:
5.33333 (repeating)
Step-by-step explanation:
Answer:
5.333333 and the 3 is infinite.
Step-by-step explanation:
Your business has two branch stores. The recent physical inventory reports that the merchandise value for each store is: Store A $750,000, and Store B $580,000. The merchandise book value for each store is: Store A $757,000, and Store B $600,000. What is the dollar amount of shrinkage for each store?
Answer: Store A: 7,000 Store B: 20,000
Step-by-step explanation:
The amount of shrinkage for store A is $7000 and for store B is $20000.
What is loss?"If the selling price of an item is less than the cost price, then the difference between the cost price and the selling price of an item is called the loss".
For the given situation,
The merchandise book value for store A = $757,000
The merchandise book value for store B = $600,000
Based on physical inventory reports,
The merchandise value for store A = $750,000
The merchandise value for store B = $580,000.
The amount of shrinkage determines the loss and it is calculated by taking the difference between the values.
Store A = [tex]757000-750000[/tex]
⇒ [tex]7000[/tex]
Sore B = [tex]600,000-580000[/tex]
⇒ [tex]20000[/tex]
Hence we can conclude that the amount of shrinkage for store A is $7000 and for store B is $20000.
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A, E and B lie on a straight line segment. C, D and B lie on a straight line segment. BD = 3m, CD = 12m and AB = 19m. Work out the length of BE. Give your answer as a decimal. please help
Answer:
3.8m
Step-by-step explanation:
If A, E and B lie on a straight line segment. C, D and B lie on a straight line segment, based on their similarities,
AB/CB = BE/BD
Given
BD = 3m,
CD = 12m
AB = 19m.
CB = CD+BD
CB = 12+3 = 15m
On substituting
19/15 = BE/3
Cross multiply
15BE = 19×3
15BE = 57
BE = 57/15
BE = 3.8m
Hence the length of BE is 3.8m
5. Subtract using the zero principle.
b) (2y- * - 3y) - (-2x + y)
Answer:
4x + 2y
Step-by-step explanation:
( 2x - - 3y ) - ( - 2x + y )
→ Simplify
2x + 3y + 2x - y
→ Collect x and y terms
4x + 2y
Determine the slope and y-intercept for the given equation: Y - 3/2x = 3
Please help this is my last math test of the year I really wanna do well!
Answer:
it's one of the 2 in the middle
Step-by-step explanation:
I did it before
Find the perimeter of the triangle in inches.
19 in.
16 in.
23 in.
42 inches
O 74 inches
58 inches
48 inches
O
Answer:
58 inches
Step-by-step explanation:
Perimeter means the sum of length of all sides of a figure.
So, the perimeter of this triangle would also be the sum of the length of its sides.
It has 3 sides.
19 in, 16 in and 23 in.
So, its perimeter equals 19 + 16+ 23
which equals 58 inches!
So, the perimeter would be 58 inches.!
Please help and show work if you can
Answer:
x = 3
Step-by-step explanation:
According to Euclidian theorem (x+9)^2 = 18*8
(x+9)^2 = 144 find the root for both sides
x + 9 = 12 subtract 9 from both sides
x = 3
Evaluate.
7!
——
5!2!
A)1
B)21
C)42
Step-by-step explanation:
this is your answerthank you ☺️pls help! brainliest and thanks! :)
Step-by-step explanation:
these angles will add to 90 deg
90 = 22 + 2x
solve for x
Answer:
x = 34°
2x = 68°
Step-by-step explanation:
Both angles are complementary (add up to the sum of 90°), so we can say;
22 + 2x = 90°
2x = 90 - 22
2x = 68
x = 68 / 2
x = 34°
Furthermore:
If you have to find the value of 2x it would be 68, since
2x = 2(34) = 68°
Hope this helps!
Evaluate the radical.
3√512
Enter your answer in the box.
Answer:
The Answer is 8.
Its the only Number that Multiplies itself three times to give 512.
So the Cube root of 512... Should be 8.
Answer:
8.
Step-by-step explanation:
512 = 64* 8
∛512 = ∛64 * ∛8
= 4 * 2
= 8.
Boris's cat will be having four kittens. Boris performs a
simulation by tossing a coin to model whether these
kittens will be male or female.
• Let heads (H) = female kitten
• Let tails (T) = male kitten
The results of the simulation are:
1. THTT
6. THHT
2. THHT
7. HTHH
3. HHHH 8. TTTT
4. HTTT
9. TTHT
5. TTHH
10. HTHT
What is the estimated probability that at least three of the kittens will be
male?
60%
A.
B.
40%
10
C.
8
10
80%
D. io = 20%
Answer:
40% or 4/10
Step-by-step explanation:
Answer:
its 40%
Step-by-step explanation:
A.P.E.X.
SOMEONE PLEASE HELP ME
1. Simplify the expression
(b^6)^9
2. Rewrite as a base to a power, if possible
7^9/7^2
Answer:
1) b⁵⁴
2) 7⁷
Step-by-step explanation:
When you have an exponent raised to an exponent, like in #1, you simply multiply the exponents.
When you are dividing two numbers with exponents and they have the same base, like in #2, you subtract the denominator exponent from the numerator exponent.
The numbers 1 through 14 (inclusive) are written on the chalkboard. Ms. Q. took the product of 13 of the 14 numbers. How many different products could she get?
Answer:
7
Step-by-step explanation:
answer is 7
HELP PLZZ HURRY IMA GET A ZERO
Answer:
m∠G= 180° - ( 59+77 )°
Step-by-step explanation:
Kai has been saving up money to buy a new backpack that is originally priced at $88.95. The store is having a 40% off end-of-season sale but Kai has only $55 saved up so far. Do you think he can buy the backpack? (Don't worry about sales tax in this problem.)
yes or no?
Answer:
53.47
Step-by-step explanation:
yes, he can buy the backpack
88.95 x 0.40 = $35.48
88.95 minus 35.48 = 53.47
Answer:
Step-by-step explanation:
88.95 X (100%-40% = 60%) = 53.37
Since $55 > 53.37, Kai has enough money to buy a new backpack.
Mhanifa please help! Solve for the unknown in each triangle. Round to the nearest tenth.
Answer:
(D)
Use the law of sines:
13 / sin x = 12 / sin 67°sin x = 13 sin 67° / 12sin x = 0.997x = arcsin (0.997)x = 85.6°(E)
Find the third angle:
180° - (48° + 61°) = 71°Use the las of sines:
x / sin 61° = 21 / sin 71°x = 21 sin 61° / sin 71°x = 19.4 cmthe height and base of parallelogeam is 20cm and 15.3cm respectively . find the area of a paralellogram
Answer:
Step-by-step explanation:
A = bh
A = 20 * 15.3 = 306 cm^2
HELP ASAP
I need someone to help please I need to make my mom proud
Answer:
perimeter =52cm
hope it helps.
stay safe healthy and happy.Answer:
52 cm (second opinion)
Step-by-step explanation:
add all the sides
What is the correct graph for the following algebraic inequality? x>-2
Graph A
Graph B
Graph C
Graph D
Answer:
Graph D
Step-by-step explanation:
< or > require a circle that is NOT shaded in so we can eliminate Graph B and Graph C
The arrow is >, and it is pointing this way--> so you shade in towards the right. Hope this helps!
This beach ball has a surface area of 379.94 inches². What is its diameter? Use 3.14 for π.
Answer:
11 inches
Step-by-step explanation:
We know that [tex]SA=4\pi r^2[/tex]. We know that [tex]SA=379.94[/tex] and that [tex]\pi\approx3.14[/tex]. We solve for [tex]r[/tex]: [tex]379.97=4\times3.14\times r^2[/tex]
[tex]r^2=30.25[/tex]
[tex]r=5.5[/tex]
Since [tex]d=2r[/tex], the diameter of the sphere is 11 inches.
Please help!! The answer options are 12/35, 12/37, 37/12, 35/37 Which one is it??
Answer:
sin= opposite leg/hypotenuse
Sin(a)=12/37
Step-by-step explanation:
Lillyana deposits $1000 in a savings account at a 2.6% interest rate. If she does not touch the money (makes no
deposits or withdrawls) for 5 years, how much money will be in the account in 5 years?
Answer:
1130
Step-by-step explanation: hope this helps <3
A clock runs 5 minutes slow every hour. The clock was set
at the proper time 12 hours ago. The correct time now is 3 p.m.
How many minutes will elapse before the clock indicates 3 p.m.?
Solve. You may use a calculator and round your answer to the nearest tenth of a unit if necessary.
A ball is dropped from a height of 900 centimeters. the table shows the height of each bounce. The
heights form a geometric sequence. How high does the ball bounce on the 5th bounce?
bounce 1 is 800 cm
bounce 2 is 560 cm
bounce 3 is 392 cm
192 cm
Step-by-step explanation:
Each bounce is 70% of the previous bounce so the fourth bounce is going to be 274 cm and the fifth is going to be 192 cm.
FIND THE SURFACE AREA OF THE FIGURE BELOW, PLEASE HELP AND SHOW WORK
Answer:
247.21
Step-by-step explanation:
equation for height : c= a2 + b2
4.82 + 9.32
≈10.46566
equation for surface area: A=5 /4tan(54°)a2+5a /2h2+(atan(54°) /2)2
5 /4·tan(54°)·72+5·7 /2·7.972+(7·tan(54°) /2)2
≈247.21018
round to nearest hundredth: 247.21