The probability that you land exactly one shot in each of the three rings is 0.122
How to get the probability?
The probability of hitting each section will be the quotient between the area of the section and the total area of the target.
The area of the target is:
A = 3.14*(12 in)^2 = 452.16 in^2
The area for the smallest circle is:
A₁ = 3.14*(4 in)^2 = 50.24 in^2
So the probability of hitting the smallest circle is:
p₁ = A₁/A = (50.24/452.16) = 0.11
For the first ring, the area is:
A₂ = 3.14*(8in)^2 - 50.24 in^2 = 150.72 in^2
So the probability of hitting this ring is:
p₂ = (150.72)/(452.16) = 0.33
The probability of hitting the final ring is 1 minus the probabilities of hitting the two other regions, so we have:
p₃ = 1 - 0.11 - 0.33 = 0.56
The joint probability of hitting one arrow in each region, is given by the product between the individual probabilities for each region times the permutations (the permutations for 3 arrows are 3! = 3*2*1 = 6)
So the probability is:
P = 0.11*0.33*0.56*6 = 0.122
If you want to learn more about probability, you can read:
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The black shoelace is longer than the green shoelace but shorter than the pink shoelace. The green shoelace is longer than the orange shoelace. Which shoelace is shorter, the pink shoelace or the orange shoelace?
Ans The orange shoe lace
Step-by-step explanation:
pl.z si.r hel.p m.e math geometry questio.n......
x=65
y=60
p=60
q=65
r=115 How?
[tex]\\ \rm{:}\dashrightarrow p+120=180[/tex]
[tex]\\ \rm{:}\dashrightarrow p=60[/tex]
And
q=65°(Opposite angles are equalNow
[tex]\\ \rm{:}\dashrightarrow r+65=180[/tex]
[tex]\\ \rm{:}\dashrightarrow r=115[/tex]
So
[tex]\\ \rm{:}\dashrightarrow x=q(Opposite interior angles)=65[/tex]
y=p=60°Answer:
p = 60°
r = 115°
q = 65°
y = 60°
x = 65°
Step-by-step explanation:
Linear pair: a pair of adjacent angles formed when two lines intersect. The two angles are always supplementary and so their measures sum to 180°.
Therefore, the linear pairs are:
p + 120° = 180°
⇒ p = 60°
r + 65° = 180°
⇒ r = 115°
-----------------------------------------------------------------------------------
Vertical angle theorem: a pair of opposite angles formed by intersecting lines. Vertical angles are always congruent (equal).
Therefore, the vertical angles are q and 65°:
⇒ q = 65°
-----------------------------------------------------------------------------------
Consecutive interior angle theorem: if a transversal intersects two parallel lines, each pair of consecutive interior angles is supplementary and so their measures sum to 180°.
Therefore, the consecutive interiors angles are:
120° + y = 180°
⇒ y = 60°
x + r = 180°
⇒ x + 115° = 180°
⇒ x = 65°
A cube with 2 meters.explain what happens to the volume of the cube if the length of the sides is doubled pls answer this for me
Answer:
The volume will be multiplied by 8.
Step-by-step explanation:
If the sides are doubled, what is going to happen to the volume? First, let's find out what the initial volume is first!
The side lengths are 2 meters. With squares/cubes, all sides are equal.
So, the length, height, and width are the same.
For the volume, we need to multiply those values.
2*2*2=8 meters
That's the initial volume.
Now, let's find out what the volume will be once we've double the side values.
2*2=4
The side values are now four.
Let's multiply!
4*4*4=64 meters
It looks like the volume multipled by eight fold.
What values are needed to make each expression a perfect square trinomial? x2 4x x2 – 10x.
Answer:
Step-by-step explanation:
4 and 25
Is the equation y/x=8 direct variation, inverse variation, or neither? Explain
Answer:
It's a direct variation, as the ratio between x and y is constant
What is the approximate length of arc s on the circle? 5. 23 in. 41. 87 in. 52. 36 in. 104. 67 in.
Answer:
need PPO
Step-by-step explanation:
need points I am 5 grade student sorry
30 POINTS!!
Create one equation with the distributive property and show the work to solve it.
Answer:
173
Step-by-step explanation:
6+4/8*2+(4+9)^2-3
6+4/8*2+13^2-3
6+4/8*2+169-3
6+1/2*2+169-3
6+1+169-3
173
3(x + 5)
The distributive property states that you are distributing whatever is outside the parenthesis to all terms within the parenthesis. For complex distributive questions, you will have to simplify the parenthesis first (if you can) before distributing.
In this case, the example given is 3(x + 5).
First, distribute 3 to all terms in the parenthesis by multiplication:
3(x + 5)
= (3 * x) + (3 * 5)
= 3x + 15
3x + 15 is your answer.
~
Another more complex distribute property can involve powers. Take for example:
(7x + 5)²
In this case, you will use the distributive method of FOIL, or (First, Outside, Inside, Last). Set the question:
(7x + 5)² = (7x + 5)(7x + 5)
First: 7x * 7x = 49x²
Outside: 7x * 5 = 35x
Inside: 5 * 7x = 35x
Last: 5 * 5 = 25
Next, combine like terms:
49x² + 35x + 35x + 25
49x² + (35x + 35x) + 25
49x² + (70x) + 25
49x² + 70x + 25 would be your answer.
~
In the given rate of 12,060 cows per 30 farms, what would be the unit rate per farm?
Answer:
402 cows per farm
Step-by-step explanation:
12060/30
=402
HELPPP FOR BRIANLEST!!!!
Answer:
4/13
Step-by-step explanation:
NOT 2010s and NOT spruce wood (4) over total (13)
4/13 is in its reduced form
PLEASE HELP Giving 50 POINTS PLEASE EXPALIN ANSWER
PART 1: Julie is incorrect ; 15/4 ≠ 3/2
PART 2: LIZ IS CORRECT
Find the perimeter of a rectangle whose length and breadth are 9.6 cm and 7.9 cm respectively.
Question :-
Find the Perimeter of a Ractangle whose Length and Breadth are 9.6 cm and 7.9 cm respectively .Answer :-
Perimeter of a Ractangle is 35 cm .[tex] \rule {210pt} {2pt} [/tex]
Given :-
Length of Rectangle = 9.6 cmBreadth of Rectangle = 7.9 cmTo Find :-
Perimeter of Rectangle = ?Solution :-
As per the provided information in the given question, we have been given that Length of Rectangle is 9.6 cm . Breadth of Rectangle is given 7.9 cm . And, we have been asked to calculate the Perimeter of Rectangle .
For calculating the Perimeter , we will use the Formula :-
[tex] \bigstar \: \: \boxed {\sf { \: Perimeter \: _{Rectangle} = 2 \times [ \: Length + Breadth \: ] \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
⇒ Perimeter = 2 × [ Lenght + Breadth ]
⇒ Perimeter = 2 × [ 9.6 + 7.9 ]
⇒ Perimeter = 2 × 17.5
⇒ Perimeter = 35
Hence :-
Perimeter = 35 cm .[tex] \underline {\rule {210pt} {4pt}} [/tex]
Note :-
Kindly scroll the Screen form Right to Left direction for Better View .Penelope is now 3 times the age of jaslin. If jaslin will be 12 in 3 years, how many years ago was Penelope 13 years ago?
Answer:
Penelope is 14 years old.
Step-by-step explanation:
- Jaslin is 9 years old (since she'll be 12 in 3 years)
- So, you multiply 9 by 3 (since Penelope is 3 times Jaslin's age), which gives you 27.
- Then minus 13 from 27 (since we're solving for how old Penelope was 13 years ago), which gives you 14
Hope this helps!
find the volume of the cone
The volume of the cone is [tex]\frac{1}{3} \pi r^{2}h[/tex]
r: radius --> 6fth: height --> 6ft[tex]\pi[/tex] = 3.14Volume = [tex]\frac{1}{3} \pi (6)^{2} *6=226.08ft^{3}[/tex]
Hope that helps!
A game you is on sale for 15% off if the regular price is $50.00, how much will u save and what will the total sale price be
Answer:
you will save 7.50$ and the sales price will be 42.50$
Step-by-step explanation:
15% of 50 is 7.5
Find the surface area of a rectangular prism with a length of 13 ft,
width of 8 ft and height of 18 ft.
Find sine and cosine if angle C please
Answer: sin=7/13,cos=2.sqrt30/13
Step-by-step explanation:
SOH COH TOA
sin=opp/hyp,cos=adj/hyp
Use pyth. theorem to find the adjacent of C.
13^2 =7^ + b^2
169 = 49 + b^2
120 = b^2
sqrt120 = sqrtb
2.sqrt30 = b is the missing side.
A colony of microbes doubles in population every 6 hours. Explain why we could say that the population grows by a factor of 6 square 2 every hour.
Answer:
please mark brainlyest
6 = 200
12 = 400
18 = 800
24 = 1600
30 = 3200
36 = 6400
42 = 12800
48 = 25600
In theory assuming none of them die and they reproduce at a constant rate.
Jack burned 150 calories on the elliptical and 210 calories on the treadmill. What do a the ratio of calories burned on the elliptical to calories burned on the treadmill?
Answer:
5/7
Step-by-step explanation:
When you reduce 150/210 you get 5/7, this is the reduced form
The largest Ferry in the puget Sound fleet can carry 2,500 passengers every hour
Answer:
A: 2,500×H. B=20,000 passengers
The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 months what's his interest he will pay on his loan
Answer: They will end up paying $2,400.
Step-by-step explanation:
Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.
This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)
The Todd family will pay $2,400 in interest by the end of the period.
Q2 ) A cylinder with a diameter of 4 ft , and height of 6 ft . Find the VOLUME and SURFACE are of the cylinder .
Answer:
The volume is ten(10)and the surface is also ten(10)
6. Ms. Carson drove 96 miles in 1.5 hours.
What was her speed in miles per hour?
A. 48 miles per hour
B. 54 miles per hour
C. 64 miles per hour
D. 144 miles per hour
Answer:
c
Step-by-step explanation:
divide 96 by 1.5 and you'll get 64
Answer:
64
Step-by-step explanation:
I first go through every answer and multiply it by 1 and then dvide it by 2 and add it onto the first number. The answer that makes sence here is 64.
64/2 = 32
64 + 32 = 96
Have an amazing day!
PLEASE RATE!
What is the solution to this inequality? 3x+7>16 Drag and drop a symbol and number to correctly complete the inequality.
PLEASE HELP!
Answer:
x > 3
Step-by-step explanation:
Step 1: Subtract 7 from both sides.
[tex]3x+7-7 > 16-7[/tex] [tex]3x > 9[/tex]Step 2: Divide both sides by 3.
[tex]3x/3 > 9/3[/tex] [tex]x > 3[/tex]Therefore, the solution is x > 3.
Answer:
[tex]\displaystyle 3 < x[/tex]
Step-by-step explanation:
[tex]\displaystyle 3x + 7 > 16 \hookrightarrow \frac{3x}{3} > \frac{9}{3} \\ \\ x > 3[/tex]
The above answer is written in reverce, and is still the same result.
*Now, in case you did not know how we arrived at the division, seven was deducted from both sides of the inequality to give you [tex]\displaystyle 3x > 9.[/tex]From there, we splat both sides in third to give you the above result.
I am joyous to assist you at any time.
Can someone help me with this?
HELP ME FIND THE AREA I AM DESPERATE QUESTION IN LINK
Answer:
4π cm²
Step-by-step explanation:
The area of a circle is [tex]\pi r^2[/tex], where r = radius. We're given the radius as 2 centimeters, and we have to solve in terms of pi.
[tex]2^2 * \pi[/tex] [tex]4*\pi[/tex] [tex]4\pi[/tex] 4π cm²Therefore, the answer is 4π cm².
Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website. The solution is graphed below. A number line going from 5 to 13. A solid circle is at 8. Everything to the left of the circle is shaded. Which phrases accurately describe all the possible quantities of songs he can buy? Select two options. No more than 8 songs at least 8 songs a minimum of 8 songs at most 8 songs fewer than 8 songs.
Tyler can buy at most 8 songs.
We have given that,Tyler solved an inequality to determine the number of songs he can buy with a $20 credit at his favorite music website.
What is the meaning of inequality?inequality, In mathematics, a statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
A number line going from 5 to 13.
A solid circle is at 8.
Therefore,from the given we can say that,
he cannot buy no more than 8 songs.
Therefore,Tyler can buy at most 8 songs.
To learn more about the inequality visit:
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Manny's Restaurant bought 9 1/4 pounds of onions. The restaurant bought 7 3/4 times as much potatoes as onions. How many pounds of potatoes did the restaurant buy?
Answer:
71.6875 pounds of patatoes.
Step-by-step explanation:
9.25x7.75 = 71.6875
Determine the value of ∠EBD∠EBD. Show your work.
Giving 18 POINTS
The value of ∠EBD is 66°
Vertically opposite anglesVertical angles are a pair of opposite angles formed by intersecting lines. Vertical angles are equal. Therefore,
∠EBA≅∠CBF
Therefore,
∠EBA = 40 - x
∠EBA + ∠EBD = 90°(complementary angles)
Therefore,
40 - x + 6x - 30 = 90
5x = 90 + 30 - 40
5x = 80
x = 80 / 5
x = 16
Therefore,
∠EBD = 6(16) - 30 = 66°
learn more on angles here: https://brainly.com/question/10987237
0.32 with the 2 repeating as a fraction
Answer:
29/90
Step-by-step explanation:
Use the formula:
((DN x F) - NRP)/D
DN = Decimal Number
F = 10 if one repeating number, 100 if two repeating numbers, 1000 if three repeating numbers, etc.
NRP = Non-repeating part of decimal number.
D = 9 if one repeating number, 99 if two repeating numbers, 999 if three repeating numbers, etc.
((0.32 x 10) - 0.3)/9
= 2.9/9 = 29/90
Work out
(4 x 10-1) + (4 x 10-1)
Give your answer in standard form.