A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2 in. Some friends play a game throwing darts onto the mat to see who can land a dart in one of the circles.
Assuming that a dart always lands on the mat, what is the probability that a dart thrown at random will land inside one of the circles?
Use 3.14 to estimate Pi.
Enter your answer, as a decimal rounded to the nearest hundredth, in the box.
P(landing in a circle) =
Answers
[tex] |\Omega|=4\cdot12=48\\
|A|=3\cdot3.14\cdot2^2=37.68\\\\
P(A)=\dfrac{37.68}{48}\approx0.79 [/tex]
Answer: 77.9
Step-by-step explanation: .
Related Questions
What is the angle of this triangle
Answers
[tex]\text{Area = } \dfrac{1}{2} \text{(12)(8)} \sin(\text{65}\textdegree)[/tex]
[tex]\text{Area = }43.5 \text{ cm}^2[/tex]
2. Savannah recorded the average rainfall amount, in inches, for two cities over the course of 6 months. Put the numbers in order from least to greatest. Show your work! City A: {4, 3.5, 5, 5.5, 4, 2} City B: {5, 6, 3.5, 5.5, 4, 6} (a) What is the mean monthly rainfall amount for each city? (b) What is the mean absolute deviation (MAD) for each city? Round to the nearest tenth. (c) What is the median for each city? Answer: a) Mean of City A: 24 Mean of City B: 30 b) Find the MAD for each city. City A Absolute Deviation MAD for City A City B Absolute Deviation MAD for City B 4 5 3.5 6 5 3.5 5.5 5.5 4 4 2 6 c) Median of City A: 4 Median of City B: 5.25
Answers
City B: {3.5, 4, 5, 5.5, 6, 6}
Mean is the average.
Average of City A = 4 (2+3.5+4+4+5+5.5 = 24 and 24/6 = 4)
Average of City B = 5 (3.5+4+5+5.5+6+6 = 30 and 30/6 = 5)
Mean Absolute Deviation
Mean Absolute Deviation of City A = 0.8
Mean Absolute Deviation of City B = 0.8
Median is the middle (after putting it in order least to greatest)
Median of City A = 4
Median of City B = 5.25 (5+5.5 = 10.5 and 10.5/2 =5.25)
A research company produced a study to find out what percentage of people in the state of Mississippi would purchase a new product being developed. Out of the 24 participants polled, 12 stated that they would buy the new product. The research company concluded that about 50% of the residents of Mississippi would purchase the new product. Identify a problem with the study.
Answers
The conclusion is based on a small sample.
Solve for x
X3=1/27
Solve in fraction simplest form
Answers
x=³√1*1*1/3*3*3
x= 1/3
[tex]x= [/tex] [tex] \frac{1}{3} [/tex], [tex]- \frac{1-i \sqrt{3} }{6} [/tex], [tex]- \frac{ 1+i \sqrt{3} }{6} [/tex]
Hope i was of some help ^.^
What must you do if you multiply one number in a ratio by n?
Answers
From what I know, when you multiply one number in a ratio, you must also multiply the other number by the same number. This allows for the ratio to stay the same, thus keeping it correct. If both terms were not multiplied by n, the ratio would no longer be the correct ratio.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
What are the answers to problem one and to WILL GIVE BRAINLEST AND SHOW YOUR WORK
Answers
4 * $4.89= $19.56
A saving account pays 3.6% per annum simple interest Heidi puts £400 into the account, how much will she have in the account after 5 years?
Answers
0.036(400)+400
Because it is 5 years:
5(0.036(400))+400
0.18(400)+400
We can make it simpler:
1.18(400)
Multiply
472
SHE WILL HAVE £472
Using the simple interest formula, Heidi will gain £72 in interest on her initial £400 deposit over 5 years at an interest rate of 3.6%. Therefore, she will have a total of £472 in her account at the end of 5 years.
Explanation:The subject of this question is simple interest calculation which is a topic in Mathematics. It's all about calculating the final amount Heidi will have in her account after 5 years, with a simple interest rate of 3.6% on her initial deposit of £400.
Given the simple interest formula, Interest = Principal × Interest rate × Time, here, the principal is £400, the interest rate is 3.6% (which is 0.036 as a decimal), and time is 5 years.
Using the formula: Interest = £400 × 0.036 × 5 = £72
So, Heidi earns £72 in interest over 5 years.
To find out how much money she will have after 5 years, we will need to add the interest to the initial deposit: Amount = Principal + Interest which gives: Amount = £400 + £72 = £472
So after 5 years, Heidi will have £472 in her account.
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Please help me!!!!!
Question: Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?
Answers
============================================================
Explanation:
The path is 1800 km. Kara's speed is 15 km/h. If this speed is held the same throughout the path, then it will take her d/r = 1800/15 = 120 hours to travel the entire path until she gets back to her starting point.
For Steven, it takes him d/r = 1800/30 = 60 hours to make the same journey.
The LCM of 60 and 120 is 120
Every 120 hours, both Kara and Steven will be back at the starting point together.
Note: this is a very very large time value, and this is not considering the fact that the bikers slow down or stop to take a break.
What is the solution of the system? y = -8x - 2 and y = -6x + 4
A. (-3, 22)
B. (-8/3, 1/22)
C. (-14/3, 6/22)
D. (3/14, - 6/14)
Answers
Equation 2: y = - 6x + 4
Equation both equations, we get:
- 8x - 2= - 6x + 4
-8x + 6x = 4 + 2
-2x = 6
x = -3
Using the value of x in first equation, we get:
y= -8(-3) - 2 = 24 - 2 = 22
So, the solution to the given equations is (-3, 22)
So, the answer is option A
what does it mean if the quotient times the divisor does not equal the dividend? What should you do?
Answers
Final answer:
When the quotient times the divisor does not equal the dividend, it means there is a remainder. Depending on the context of the problem, you can round down, express the remainder as a fraction or decimal, or choose another appropriate method.
Explanation:
When the quotient times the divisor does not equal the dividend, it means that the division did not result in an exact whole number. This is called a remainder. For example, if you divide 15 by 4, the quotient is 3 and the remainder is 3. So, 3 times 4 does not equal 15.
If you encounter this situation, you can do a few things. You can round the quotient down to the nearest whole number, or you can express the remainder as a fraction or decimal. It depends on the context of the problem and what is required.
For example, if you are dividing cookies among friends, you may want to express the remainder as a fraction, saying each friend gets 3 and a half cookies. But if you are calculating the number of whole boxes needed, you may round down to 3 boxes.
Jeremy is making a trail mix containing raisins and peanuts. Raisins cost $1.50 per pound. Peanuts cost $2.50 per pound. Jeremy spends $10.50 to make 5 pounds of trail mix. He uses the table below to organize this information. Which equation can Jeremy use to determine the amount of raisins in the trail mix?
a.r + 1.50 = 1.5r
b. r + (5 – r) = 5
c. 1.5r + 2.5(5 – r) = 10.50
d. 1.5r + 2.5(5 – r) = 5
Answers
Answer:
Option C.
Step-by-step explanation:
Let Jeremy mixes "r" pounds of raisins to make a trail mix.
As the total weight of trial is = 5 pounds
So weight of peanuts in the trail mix will be = (5 - r )
Now cost per pound of raisins = $1.50
so cost of r pounds of raisins = $1.50(r)
Cost of the peanuts = $2.50 per pound
so cost of (5 - r) pounds peanuts = $2.50(5 - r)
Jeremy spends total amount = $10.50
So expression will be
Cost of Raisins + cost of peanuts = cost of trail.
1.5r + 2.5(5 - r) = 10.50
Option C. is the answer.
A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?
Answers
8x4=32
2x2=4
32+4=36
Yo I just need to get this right so help me out
Answers
Answer:
1) yes--first term is -48, common ratio is -2
2) no--no common ratio
3) yes--first term is 3, common ratio is 3
4) yes--first term is 5, common ratio is 2
5) no--arithmetic sequence
6) no--arithmetic sequence
A rectangular bathtub is 5 1/2 feet long, 1 1/2feet wide, and 3 feet high. Daniel fills the tub to a depth of 2feet.What is the volume of the water in the tub?
Answers
V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³
Plz show work and explain
Haley and Madison are arguing over a math problem. Haley insists that a square with a area of 196 square units is bigger than Madison’s square that has a perimeter of 196 units. Who is correct and why?
Answers
4 * s
where s is the side length.
Area is:
s * s
So, we can set both of these values to 196.
4s = 196
s = 49
s * s = 196
s = 14
So, Madison is correct.
Hope this helped!
What is the volume of a 8 by 4.5 by 3.5 prism
Answers
Hope this was helpful
A hose fills a hot tub at a rate of 3.45 gallons per minute. How many hours will it take to fill a 280 -gallon hot tub?
Answers
Q = V / t
Where,
Q: flow
V: volume
t: time
Clearing the time we have:
t = V / Q
Substituting the values:
t = (280) / (3.45)
t = 81.16 minutes
In hours we have:
t = (81.16) * (1/60)
t = 1.35 hours
Answer:
it will take to fill to 280 -gallon hot tub about:
t = 1.35 hours
It will take approximately 1.35 hours to fill the 280-gallon hot tub.
We have,
A hose fills a hot tub at a rate of 3.45 gallons per minute.
This can be written as an expression:
3.45 gallons = 1 minute
Now,
Multiply 280/3.45 on both sides.
280/3.45 x 3.45 gallons = 280/3.45 minutes
280 gallons = 81.16 minutes
Now,
81.16 minutes can be converted into hours.
Divide 81.16 by 60.
So,
81.16/60 = 1.35 hours
Therefore,
It will take approximately 1.35 hours to fill the 280-gallon hot tub.
Learn more about expressions here:
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spining a spinner that has 5 equal section marked 1 through 5 and landing on an evean number
Answers
Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (look at the image below)
The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.
Answers
so
y = 20x
y = distance (miles) and x = time (hours)
so if x = 24 then y = 20x = 20(24) = 480
answer
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
Answer:
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.Step-by-step explanation:
According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.
To find the equation, we just need to find the slope, using two points (0,0) and (2,40).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20[/tex]
Therefore, the equation is [tex]y=20x[/tex], which shows a direct proportion between variables.
Now, in 24 hours, it would travel
[tex]y=20(24)=480[/tex]
It would travel 480 miles.
Therefore, the right answer is the second choice.
What is the measure of X
Answers
Answer:
we can know the answer by using phorem therom so
Step-by-step explanation:
all are 90 degree so x angle will also be 90 degree
now h^2 =p^2+b^2 so
Find M angle P
The diagram is not a scale
Answers
Hideki throws a baseball ball upward with an initial velocity of 12 meters/sec. When he throws the ball, it is two meters above the ground. How long will it take the ball to hit the ground?
Answers
h (t) = (1/2) * (- 9.8) * t ^ 2 + 12 * t + 2
Rewriting we have:
h (t) = -4.9 * t ^ 2 + 12 * t + 2
When the ball hits the ground we have:
-4.9 * t ^ 2 + 12 * t + 2 = 0
Solving the polynomial we have:
t1 = -0.16
t2 = 2.61
We ignore the negative root because it is time.
Answer:
It will take the ball to hit the ground about:
t = 2.61 sec
Answer:
-4.9^2 + 12t + 2 = 0
Step-by-step explanation:
Food express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on the receipt so far 147 of the first 156 customers have not received a star in the receipts what is experimental probability of winning a free gallon of milk
Answers
P(nw) = no wins / total
no wins = 147
Total = 156
Calculation for no wins
P(nw) = 147 / 156 = 0.9423
Calculation for winners.
P(w) = 1 - 0.9423
P(w) = 0.05769
Another way.
You could calculate the winners from the total
156 - 147 = 9
P(w) = 9/156 = 0.05769 Same answer as before. Pick the method you like best.
NEED HELP ASAP!!! Susan makes $5 per hour babysitting and $7 per hour as a life guard. Her goal is to make at least $140. which of the following represents three possible solutions to the problem?
Answers
Number of horus Lifeguard: y
Susan makes $5 per hour babysitting
Money she makes Babysitting: 5x
Susan makes $7 per hour as a life guard
Money she makes as a life guard: 7y
Total money she mahes: 5x+7y
Her goal is to make at least $140:
5x+7y>=140
Answer: First option
5x+7y>=140
In a '20% off' sale, a coat was £220. Work out the original price.
Answers
0.8p = 220
p = 220/0.8 (This is because we are making p the subject of the formula)
p = 275 (If you are not allowed to use a calculator for this, then: 220/0.8 is the same as 2200/8 because we are just simply multiplying both the numerator and denominator by 10. This can be simply worked out by long division)
1) Set up a proportion:
80/100=220/x
2) Simplify:
4/5=220/x
3) Solve by cross-multiplying:
4x=1100
x=275
Original Price: 275
Sandra has four color cards: one blue, one red, one green, and one yellow. If she puts them in a box, in how many different orders could she draw them out?
A. 16
B. 24
C. 32
D. 64
Answers
79+b=159
b=
send help pls... :)
Answers
b = 159 - 79
b = 80
Write an inequality involving the variable x that describes the set of numbers graphed.
Answers
English has 6 letters that can be vowels. This includes Y, which can be either a consonant or a vowel; for this problem, we'll consider Y a vowel. The other 20 English letters are always consonants. How many two-letter "words" can we make from these letters if we are required to use at least one vowel? (We aren't limited to words that have an actual meaning in English. Thus, for this problem, we'll include nonsense "words" like QO, XY, and UZ.)
Answers
as
my
he
we
me
by
hi
so
go
to
These are just a few.
Which of the following graphs shows the solution of the inequality
x+1<5
?
A. Graph A
B. Graph B
C. Graph C
D. Graph D
Answers
Answer is C. Graph C
Hope this helps. - M