To answer the question, we have to determine the area of the path and notice that the area of the path is equal to the area of the outer circle minus the area of the inner circle.
Recall that the area of a circle can be determined using the following formula:
\(A=\pi\text{ r}^2,\)where r is the radius of the circle.
Therefore, the area of the outer circle is:
\(A_1=(10yd)^2\pi.\)The area of the inner circle is:
\(A_2=(8yd)^2\pi.\)Therefore, the area of the ring is:
\(A_1-A_2=36\pi yd^2.\)Now, each gallon can cover 7 yd², therefore, you need:
\(\frac{36\pi}{7}\)gallons to cover the entire ring.
Answer: Note: since the number of gallons has to be a whole number but we need to cover the entire path, the number is rounded up to the nearest whole number.
\(17\text{ gallons.}\)can someone help me on number 4
Answer:
\(P = 48 in\),\(A= 120in^2\)
Step-by-step explanation:
Again we can use Pythagorean theorem to find the missing side
x^2 + 15^2 = 17^2
x^2 + 225 = 289
Subtract 225 from both sides
x^2 = 64
Find the square root of both sides
√x^2 = √64
x = 8
So
l = 15in, w = 8in
P=2(15) + 2(8)
P = 30 + 18
P = 48 in
A= 15(8)
A= 120in^2
Bryan has a bamboo pole that was 5 meters long. He cut off 2 meters
and another 1 meters. What is the length of the remaining bamboo
pole?
Answer:
the length of the remaining bamboo pole is 2 meters long
Step-by-step explanation:
bryan has a bamboo pole that was 5 meter long
he cut off 2 meter
and another 1 meters
the length of the remaining bamboo pole is = 5-(2+1) = 5-3 = 2 meter
Answer:
2 meters
Step-by-step explanation:
you have 5 to start once you take 2 away that goes to three then once u take 1 off the three you now have 2
solve 5x + 2 = 3x + 4(2x - 1)
Answer: x=4
Step-by-step explanation:
5x+2=3x+4(2x-1)
5x+2=3x+6x-4
-2 -2
5x=3x+6x-2
-3x -3x
2x=6x-2
+6x +6x
8x=2
Divide
X=4
What is 5/1 divided by 1/2 -3- im slowly ready to end it all..bro
Answer:
I'M IN PAIIIIINNNNNN!!!!
Step-by-step explanation:
The answer is 7
I hope this helps
Tennis Replay In the year that this exercise was written, there were 879 challenges made to referee calls in professional tennis singles play. Among those challenges, 231 challenges were upheld with the call overturned. Assume that in general, 25% of the challenges are successfully upheld with the call overturned. a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231. b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
Answer:
a. 0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. 231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
Step-by-step explanation:
For each challenge, there are only two possible outcomes. Either it was overturned, or it was not. The probability of a challenge being overturned is independent of any other challenge. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
Significantly high:
The expected value of the binomial distribution is:
\(E(X) = np\)
The standard deviation of the binomial distribution is:
\(\sqrt{V(X)} = \sqrt{np(1-p)}\)
If a value is more than 2.5 standard deviations above the mean, this value is considered significantly high.
25% of the challenges are successfully upheld with the call overturned.
This means that \(p = 0.25\)
879 challenges
This meas that \(n = 879\)
a. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is exactly 231.
This is P(X = 231). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 231) = C_{879,231}.(0.25)^{231}.(0.75)^{648} = 0.0209\)
0.0209 = 2.09% probability that among the 879 challenges, the number of overturned calls is exactly 231.
b. If the 25% rate is correct, find the probability that among the 879 challenges, the number of overturned calls is 231 or more. If the 25% rate is correct, is 231 overturned calls among 879 challenges a result that is significantly high
The mean is:
\(E(X) = np = 879*0.25 = 219.75\)
The standard deviation is:
\(\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{879*0.25*0.75} = 12.84\)
\(219.75 + 2.5*12.84 = 251.85 > 231\)
231 is less than 2.5 standard deviations above the mean, which means that 231 overturned calls among 879 challenges is not a significantly high result.
What metal has the highest tensile strength and doesnt corrode with oxygen?
Answer:
Step-by-step explanation:
Tungsten is a very hard and strong metal that is commonly used in the production of various types of high-strength materials, such as steel alloys, filaments for incandescent light bulbs, and electrical contacts. Tungsten has the highest tensile strength of any metal, which means it can withstand the highest amount of stress without breaking or deforming. However, tungsten is not very resistant to corrosion, especially in the presence of oxygen. At high temperatures, tungsten can react with oxygen to form tungsten oxide, which can cause corrosion of the metal.
Tantalum, on the other hand, is a highly corrosion-resistant metal that is often used in applications where exposure to oxygen and other corrosive materials is a concern. Tantalum has a natural oxide layer on its surface that helps protect the metal from corrosion. This oxide layer is very stable and adheres strongly to the underlying metal, providing an effective barrier against oxygen and other corrosive substances. Tantalum also has a relatively high tensile strength, making it a good choice for applications where both strength and corrosion resistance are important considerations.
In summary, while tungsten has the highest tensile strength of any metal, it is not as resistant to corrosion as some other metals, such as tantalum. Tantalum is highly resistant to corrosion by oxygen and other corrosive substances, making it a good choice for applications where exposure to these materials is a concern. Tantalum also has a relatively high tensile strength, making it a good choice for applications where strength is important.
Answer:
stainless steel
Step-by-step explanation:
because it is made from uranium
Please answer as soon as you can.
Convert-40°C into °F.
please let me know the answer by step by step
Answer:
-40°F
Step-by-step explanation:
Formula:
(0°C × 9/5) + 32 = 32°F
(-40°C × 9/5) + 32
(-72) + 32 = -40°F
I will give Brainliest! :<
This meal costs $75.00.
Fatima used a 20% off coupon and then tax was added.
The total after the coupon and tax was $75.00.
What was the tax rate?
Submit and EXPLAIN, please!
Answer:
25 %
Step-by-step explanation:
75 - 20% = 60
60 + 60 (x) = 75 where x = tax rate
x = .25 or 25 %
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
The average of 5 numbers is 8.5. Four of the numbers are 9.2, 3.4, 6.5 and 7.4. What is
the fifth number?
Answer:5
Step-by-step explanation:
At lunch, Darius ordered a slice of pizza for $2.75, French fries for $1.20, and a drink for $1.35. Sale tax was $0.37. If Darius paid for his lunch with a $10 bill, how much change did he get back?
Answer:
he gets 4.33 dollars back
Step-by-step explanation:
add 2.75+1.20+1.35+0.37= 5.67
10-5.67=4.33 $
Answer:
4.33
Step-by-step explanation:
if u add 2.75 1.20 and 1.35 plus the additional 37 cents u get 5.67 then u do 10- 5.67
Please help with the top question !
9514 1404 393
Answer:
13.3 m
Step-by-step explanation:
Let d represent the length of the diagonal. Then the length of the rectangle is (d-2) and the width is (d-6). The area is the product of length and width, so is ...
A = LW
83 = (d -2)(d -6) = d² -8d +12
71 = d² -8d . . . . . . . . subtract 12 to get the constant out of the way
d² -8d +16 = 87 . . . . add (-8/2)² = 16 to both sides to complete the square
(d -4)² = 87 . . . . . . . write as a square
d -4 = √87 . . . . . . . positive square root
d = 4 +√87 ≈ 13.3 . . . . add 4
The diagonal is about 13.3 meters long.
_____
Additional comment
If you check to see if the side lengths actually correspond to those of a rectangle, you find that they do not. The geometry described here is impossible. The rectangle with the proposed relations between sides and diagonal would have a diagonal of about 12.899 m and an area of about 75.19 m².
if you charge too ______, customers will assume your quality is_____.
Answer:
Cheap; Bad
Step-by-step explanation:
According to the experience in the real world.
Write the equation of the line for a line that passes through (4, 4) and (1, -2).
\((\stackrel{x_1}{4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}}\implies \cfrac{-6}{-3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y-4=2x-8\implies y=2x-4\)
Step-by-step explanation:
(4, 4) and (1, -2).
(x1,y1) and (x2,y2)
slope=(y2-y1/x2-x1)
m= -2-4/1-4
m=2
slopeintercept form
y=2x-4
point slope form
y-4=2(x-4)
Question 6
Sharron gets a total of £1050 each month.
She spends 3/10 of this on rent and 2/3 on food and bills.
How much money does Sharron have remaining?
Show your working out and write your answer in the box below.
Help with this math word problem brainlest and points !
Answer:
48
Step-by-step explanation:
every 1 hour is equal to 12 chairs so all u need to do is multiply 12 x 4
12. The expression x ^ 2 + 2x - 15 can be written in factored form as (x - 3)(x + m) where m represents a numberWhat is the value of m
Answer:
m = 5
Step-by-step explanation:
A quadratic function is in the form \(ax^{2} +bx+c\).
To factor an equation, you are looking for two numbers that multiply to c (are factors of c), and add to b. In this case, c = -15, and b = 2.
The factors of -15 include 1, 3, 5, 15, -1, -3, -5, and -15.
After looking through the possible combinations, we can come to the conclusion that the only factors that multiply to -15 and add to 2 are 5 and -3, as 5 x -3 = -15, and 5 + -3 = 2.
You can now plug these numbers into the factored form (x + factor1)(x + factor2).
This then becomes (x + -3)(x + 5) or (x - 3)(x + 5).
Therefore, m = 5.
Use the histogram to answer the following questions.
Frequency
The frequency of the class 90-93 is
The frequency of the class 94-97 is
This means that a total of
5.5
5
4.5
Your answers should be exact numerical values.
The frequency of the class 86-89 is
86
94
90
Duration of Dormancy (minutes)
dormancy periods were recorded.
The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of periods is given as follows:
5 + 6 + 4 = 15.
The frequency of each class is given as follows:
86 - 89: 5/15 = 1/3.90 - 93: 6/15 = 2/5.94 - 97: 4/15.Learn more about the concept of probability at https://brainly.com/question/24756209
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PLEASE HELP QUICKLY!! 7th grade math!
Answer:
19 and 29/32 or 19.90625
Step-by-step explanation:
So the 1st Way: We could simplify it and make them into improper fraction in a way like this:
13/4 * 49/8
We can then just multiply the top row and the bottom row:
13 * 49 = 637
4 * 8 = 32
637/32 = 19 and 29/32
The 2nd Way: We could literally add 6 and 1/8, 3.25 times
(I'm so sorry this is a way lol but I couldn't think of another)
6.125 + 6.125 + 6.125 + 6.125(0.25) = 18.375 + 1.53125 = 19.90625 :P
Answer:
I am actaully learning this right now!
Step-by-step explanation: Hope this helps!
1) Multiply the numerators.
Multiply the Denominators
Simplify
2) When working with whole numbers you have to make it improper.
Multiply the denominator by the whole number and whatever you get you to add the numerator with it and that is how you make it improper.
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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What’s the zero of the function on the graph PLEASE
Answer:
B) x = -5
Step-by-step explanation:
The zero of a graph is the inputted value in which the output is 0. Therefore, we must find the x-value that makes the y-value be 0. In the graph, we see that y = 0 at (-5, 0). The x-value of the coordinate (-5, 0) is -5. Therefore, the zero of the function in the graph is x = -5.
I hope this helps! :)
Determine the probability of rolling a die and getting a 2
then a 5.
The probability of rolling a die and getting a 2, then a 5, is 1/36.
To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.
First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.
Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.
To find the probability of both events happening, we multiply the probabilities:
Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.
Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.
It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.
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125
Solve for <1.
41 = [?]
21
37°
88°
Answer:
<1+125=180°{linear pair}
<1=180-125
<1=55
Round 249798.828806 to the nearest ten
Answer:
249798.8
Hope this helps! <3
A resort hotel rents
bicycles for $20 plus an hourly rate of $6. A
nearby hotel rents bicycles for $15 plus an hourly
rate of $8.
Which equation can be used to determine h, the
number of hours it will take for the cost of renting
a bicycle at both hotels to be the same?
Answer:
the answer is 20+6h=15+8h
what is 1+1
prove me why
Answer:
1+1=2
Step-by-step explanation:
as we know that one is made up of 1/2+1/2=1
so 1/2+1/2+1/2+1/2=2
hope this helps you
have a great day :)
The function f (t) = 12(1 +0.03) can be used to determine the population, in thousands of a town t years
since 1955. According to the function, what was the population of the town in 1955 and what was the percent
increase in population from year to year?
Enter a number in each box to correctly complete the sentence
The population of the town in 1955 was
people, and the percent increase in
population from year to year was
f= the original amount of people, a steady growth throughout the years
t=time
In 1955 the population was 12 thousand. Compared to the current population of 12.36 thousand, the population then was roughly 77%.
A function assigns the values. The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The function that gives the population of the town is given, therefore, the following can be written,
Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand.
The percentage increase in population from year to year is 3%.
Hence, The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.
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please helppppppppi am in 9th grade k12
The sequence of transformation of triangle DEF to triangle D'E'F' is a 180 degree rotation about the origin followed by a translation one unit left.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, rotation, translation and dilation.
Rigid transformation are those transformations that do not change the shape or size of a figure such as translation, reflection and rotation. Dilation is not a rigid transformation.
The sequence of transformation of triangle DEF to triangle D'E'F' is a 180 degree rotation about the origin followed by a translation one unit left.
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Calculator 14 This trapezoid represents the base of a right prism that has a surface area of 1508 square feet. The sum of the lengths of the legs of the trapezoid is 50 feet. 35 ft What is the height of the prism? Enter your answer in the box.
Answer:
Its 9
Step-by-step explanation:
I took the quiz also i go to k12
Answer:
9 ft
Step-by-step explanation:
took the quiz tyty