Answer:
A
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 8x - 2y - 17 = 0
Collect the x- terms and the y- terms together and add 17 to both sides
x² - 8x + y² - 2y = 17
Use the method of completing the square on both x and y terms.
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(- 4)x + 16 + y² + 2(- 1)y + 1 = 17 + 16 + 1
(x - 4)² + (y - 1)² = 34 → A
Answer:
(x−4)2+(y−1)2=34
Step-by-step explanation: hope this helps :)
80° r=9 What is the length of the indicated arc?
What is the area of this title?
Is it in. or in2
Answer:
A = 12 in^2
Step-by-step explanation:
The formula for area is
A = l*w
A = 2in * 6 in
A = 12 in^2
Which expression can be used to find the surface area of the following rectangular prism?
Answer:
Option B
Step-by-step explanation:
Alana and two of her friends evenly split the cost of a
meal. They determine that each person owes $14.68. How
much was the entire cost of the meal?
Answer:
$44.04
Step-by-step explanation:
Multiply how much money it cost for them each by 3. That is the number of people are paying. That times 3 is 44.04.
PLEASE HELP ME!!!
I don't understand....
If possible, please explain how you got to the answer!
Answer:
Oof...
Step-by-step explanation:
What is the Question?
Which of the following is an example of a raw goods producer?
Answer:
c prt i suppose
Step-by-step explanation:
Answer:
A Lumber company
Step-by-step explanation:
If one person takes six hours to paint a house in another person takes 10 hours to paint house how long does it take them to paint the house together
Answer: 8
Step-by-step explanation: 6+10=16 16/2=8
Suppose that a randomly generated list of numbers from 0 to 9 is being used
to simulate an event that has a probability of success of 70%. Which of these
groups of numbers could represent a success?
O
A. 0, 1, 2, 3, 4, 5, 6, 7
O
B. 0, 1, 2, 3, 4, 5, 6
O
c. 0, 1, 2, 3, 4, 5
O
D. 0, 1, 2, 3, 4, 5, 6, 7, 8
Answer:
B. 0, 1, 2, 3, 4, 5, 6
Step-by-step explanation:
If you want to represent a 70% chance of success, then 7 of the 10 possible numbers need to represent success. It is convenient to use the numbers 0 to 6 for the purpose.
The solution is : The group which represents a success is
B. 0, 1, 2, 3, 4, 5, 6.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
here, we have,
Given that,
a randomly generated list of numbers from 0 to 9 is being used to simulate an event that has a probability of success of 60%.
Total outcomes which are numbers from 0 to 9 = 10
If the probability of success is 60%,
P(success) = 60/100 = 6/10
That is, 6 numbers out of 10 are the outcomes which leads to success.
The correct option is D. 0, 1, 2, 3, 4, 5, which is the only option containing 6 numbers.
Hence the correct option is B
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An unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6
times. What is the probability of rolling at least 4 sixes?
Answer:
Probability of rolling at least 4 sixes is 0.01696.
Step-by-step explanation:
We are given that an unbalanced die is manufactured so that there is a 20% chance of rolling a “six." The die is rolled 6 times.
The above situation can be represented through binomial distribution;
[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]
where, n = number trials (samples) taken = 6 trials
r = number of success = at least 4
p = probability of success which in our question is probability of
rolling a “six", i.e; p = 0.20
Let X = Number of sixes on a die
So, X ~ Binom(n = 6, p = 0.20)
Now, Probability of rolling at least 4 sixes is given by = P(X [tex]\geq[/tex] 4)
P(X [tex]\geq[/tex] 4) = P(X = 4) + P(X = 5) + P(X = 6)
= [tex]\binom{6}{4} \times 0.20^{4} \times (1-0.20)^{6-4}+\binom{6}{5} \times 0.20^{5} \times (1-0.20)^{6-5}+\binom{6}{6} \times 0.20^{6} \times (1-0.20)^{6-6}[/tex]
= [tex]15 \times 0.20^{4} \times 0.80^{2}+6 \times 0.20^{5} \times 0.80^{1}+1 \times 0.20^{6} \times 0.80^{0}[/tex]
= 0.0154 + 0.00154 + 0.000064
= 0.01696
Therefore, probability of rolling at least 4 sixes is 0.01696.
Using the binomial distribution, it is found that there is a 0.0086 = 0.86% probability of rolling at least 4 sixes.
For each roll, there are only two possible outcomes, either it is a six, or it is not. The result of a roll is independent of any other rolls, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The die is rolled 6 times, hence [tex]n = 6[/tex].There are six sides on the dice, one of which is 6, hence [tex]p = \frac{1}{6} = 0.1667[/tex].The probability is:
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{6,4}.(0.1667)^{4}.(0.8333)^{2} = 0.0080[/tex]
[tex]P(X = 5) = C_{6,5}.(0.1667)^{5}.(0.8333)^{1} = 0.0006[/tex]
[tex]P(X = 6) = C_{6,6}.(0.1667)^{6}.(0.8333)^{0} \approx 0[/tex]
Then:
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) + P(X = 6) = 0.0080 + 0.0006 + 0 = 0.0086[/tex]
0.0086 = 0.86% probability of rolling at least 4 sixes.
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*25 points* What is the average rate of change of g over the interval 0≤x≤9?
Answer:
10/9
Step-by-step explanation:
y increases by 10 while x increases by 9
The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints and dividing it by the difference in the x-values.
Explanation:The average rate of change of a function over an interval is calculated by finding the difference in the function values at the endpoints of the interval and dividing it by the difference in the x-values.
In this case, we are given the interval 0 ≤ x ≤ 9. We need to find the difference in the function values of g at x = 0 and x = 9, and then divide it by the difference in the x-values, which is 9 - 0 = 9.
So, the average rate of change of g over the interval 0 ≤ x ≤ 9 is (g(9) - g(0)) / (9 - 0).
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A snow plough has a 3.2m blade set at an angle of 30 degrees How wide a path will the snow plough clear
Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
Final answer:
Using trigonometry, the width of the path that a snow plough with a 3.2m blade set at a 30 degree angle will clear is approximately 2.77 meters wide.
Explanation:
To determine the width of the path that a snow plough will clear, we can make use of trigonometry. Given that the blade of the snow plough is 3.2 meters wide and is set at an angle of 30 degrees, we can calculate the width of the path cleared (w) by using the following formula derived from the cosine of the angle:
w = blade width × cos(angle)
Therefore, the width of the path cleared is:
w = 3.2 m × cos(30°)
To solve for w, we need to know the cosine of 30 degrees, which is √3/2. So the calculation will be:
w = 3.2 m × (√3/2)
After calculating this:
w = 3.2 m × 0.866
w = 2.7712 m
Therefore, the snow plough will clear a path approximately 2.77 meters wide.
The distance between the points $(x,21)$ and $(4,7)$ is $10 \sqrt{2}.$ Find the sum of all possible values of $x.$
Answer:
the sum of all possible values of x is: 2+6 = 8
Step-by-step explanation:
Assume the two points in your question are:
A [tex](x_{1},y_{1})[/tex] = (x,21)B [tex](x_{2}, y_{2})[/tex] = (4,7)=> The distance between the points A(x,21) and B(4,7) is [tex]10\sqrt{2}[/tex]
As we know, the distance of two points can be determined by this formula:
[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Apply this formula in this situation to find all possible values of x, we have:
[tex]\sqrt{(4-x)^{2} + (7-21)^{2} }[/tex] = [tex]\frac{10}{\sqrt{2} }[/tex]
<=> [tex](4-x)^{2} + 196 = 200[/tex]
<=> [tex](4-x)^{2} = 4[/tex]
<=> (4-x) = 2 or (4-x) = -2
<=> x = 2 or x = 6
=> the sum of all possible values of x is: 2+6 = 8
hi:) I need advice on something. I have art coursework to do and I usually take really really long to complete it. should I just spend the entire day doing art so that I can complete my art assignment and start on math/sci/eng? please help, thanks:)!
Answer:
Art 1st
Step-by-step explanation:
If art takes you longest, you should do it 1st. After do what takes you less, then you will get the harder done 1st, and have something that doesnt take you as long after.
:)
Answer:
You should make yourself a tiny schedule, for example, you can work on your art piece for about an hour and then take a 5 minute break and do some of your other assignments for about 1 hour and 30 minutes. What you can also do is per every hour of working on art you did one other assignment. Hope this helps! :)
help me I really need it
Tropical rainy is forests close to the water. Dry is outback and steppes. Temperate marine is savannas. Temperate continental is forests far from water. Polar is tundra and ice caps. Finally, highlands is mountains.
What if you subtract the angle measures?
45°-(-3159) =
In a taste test, 50 participants are randomly given a beverage to sample.
There are 20 samples of Drink A, 10 samples of Drink B, 10 samples of Drink
C, and 10 samples of Drink D. Write the probability of a participant NOT
sampling Drink A.
Answer:
20 out of the 50 participants are assigned to consume Drink A.
However, it is asking us the probability that a participant did NOT consume Drink A, so there are 30 participants that consumed another drink.
The probability is 30/50, or 60%, that a participant did not sample Drink A.
Answer:
3/5
Step-by-step explanation:
of the 50 participants 20 of them will get drink A. This probability is 20/50 which simplified is 2/5. The other 30 participants will get drinks B, C, or D. As a fraction this is equal to 30/50 or 3/5. Therefore the probability of a participant not sampling drink A is 3/5.
Write a quadratic function f whose zeros are 6 ad 5
The quadratic function f whose zeros are 6 and 5 is represented by the formula f(x) = (x - 6)(x - 5). This formula utilizes the fact that the zeros of a quadratic function, also known as the roots, are the x-values for which the function equals zero.
Explanation:To write a quadratic function f whose zeros are 6 and 5, we first identify the zeros. These zeros are the roots of the equation, meaning the points at which the curve of the function hits the x-axis.
A quadratic function is in the form f(x) = a(x - p)(x - q), where p and q are the zeros. Therefore, if the zeros are 6 and 5, our function becomes f(x) = a(x - 6)(x - 5), with 'a' being any real number. If we take 'a' as 1 (for simplicity), the function becomes f(x) = (x - 6)(x - 5).
So the quadratic function with zeros 6 and 5 is f(x) = (x - 6)(x - 5).
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Please help On this question please!
Answer: 1
Step-by-step explanation: Now, they are asking for which score did the greatest number of people receive
We have numbers 5 to 10 and we know that 10 is the greatest, so when we 10 at the end, on top we see only 1 x,
Colleen went to the store. She bought 4 pounds of
gummy bears. How much did she spend?
How are you supposed to find that out if you don't have a base price for at least 1 pound of gummy bears? Can you provide more info?
Kelly plans to take juice on her camping trip. Which will hold more juice 14 cans , where 1 can is 150ml or 2 2 liter bottles? How much more?
Answer:
14 150ml cans will hold more juice.
Step-by-step explanation:
14*150ml = 2100ml
2100ml = 2.1 liters
Find the length of HD
if entering your answer as a decimal, round your final answer to the nearest hundredth.
HD = units
Answer:
11 units
Step-by-step explanation:
HPO and DPI are similar triangles
HP/DP = PO/PI
HP/9 = 6/27
HP = 9×6/27
HP = 2
HD = HP + PD
HD = 2 + 9 = 11
Answer:
11 units
Step-by-step explanation:
Plz help will give brainliest
Answer: C because if it says less than that means after
PLEASE ANSWER QUICKLY!!!
The width of a rectangle is 5 meters less than its length. The length is x meters. Write an algebraic expression to represent the width of the rectangle.
Jodi rents a car for 2 weeks. It costs $210 for each week plus $0.10 per mile.
Which equation represents the relationship between the number of miles traveled, m, and the total rental cost, r?
O A r = 2(210+ 0.10m)
B. r= 210 + 2 (0.10m)
C. r = 2 (210) (0.10m)
D. r= 2(210) +0.10m
The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r = 2(210) + 0.10m.
What is the equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
Jodi rents a car for 2 weeks.
It costs $210 for each week plus $0.10 per mile.
Let, the number of miles traveled, m, and the total rental cost, r.
The rent of the car for 2 weeks is;
[tex]= 2 \times 210[/tex]
The equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is;
r = the rent of the car for 2 weeks + the total rental cost
r = 2(210) + 0.10m
Hence, the equation represents the relationship between the number of miles traveled, m, and the total rental cost, r is r = 2(210) + 0.10m.
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Heeeeeleleleleleleleep: urgent.
Two hundred and fifty people were asked if they prefer jazz, country, rock, or rap music. They were only allowed to choose one favorite. Partial results are shown in the table. F is for Females, M is Males, and T is for Total. How many females did not choose rap music
Answer:
127 females chose rap.
Step-by-step explanation:
Just did edge.
i will mark you brainless
A house plan is drawn to the scale of 1/4 inch equals 4 feet. What is the length of the house if it measures 3 3/8 inches on the floor plan?
Answer:
1/48 try simplfig that
Step-by-step explanation:
Answer:
I think it's none of the above
GRAPH PROBLEM!!!!!!!
Answer:
Khalid = 140 mph
Jesse = 150 mph
Jesse has the faster train
Step-by-step explanation:
Khalid is travelling 140 mph because 280/2 is 140
Jesse is travelling at 150 mph because just like the question stated, y=150x where "x" is the total hours they traveled and 150 is the distance she traveled.
Jesse is faster because 150>140
Which value is closets to 8 11/20 A)8 B)8 1/2 C)8 3/4 D) 9
Final answer:
The value 8 3/4 (option C) is closest to 8 11/20 because it has the smallest difference when compared to the other options after converting 11/20 to its decimal form.
Explanation:
The value closest to 8 11/20 is 8 3/4 (option C). To determine which value is closest, convert 11/20 to its decimal equivalent by dividing 11 by 20, which is 0.55. When added to 8, this gives us 8.55. Now let's compare the options: Option A (8) is 0.55 away, option B (8 1/2) equals 8.5 and is 0.05 away, option C (8 3/4) equals 8.75 and is 0.20 away, and option D (9) is 0.45 away. Thus, 8 3/4 is the closest value to 8 11/20 since it has the smallest difference.
kevin estimated the differncle between of 9/10 minus 4/8 to be 0 is his estimate reasonable explain
Answer:
No, it is not reasonable
Step-by-step explanation:
Writing 9/10 and 4/8 as fractions out of 100, and then as decimals
9/10 = 90/100 = 0.9
4/8 = 1/2 = 50/100 = 0.5
0.9 - 0.5 = 0.4
Not 0, like Kevin estimated
Answer: 4/8 = 0.5 and 9/10= 0.9. If you subtract 0.9 by 0.5, you end up with 0.4. I would say not reasonable.
Step-by-step explanation:
The shoes are on sale for 39.99. If they were marked down 20%, what was the original price?
Final answer:
The original price comes out to $49.99 when rounded to the nearest cent.
Explanation:
To determine the original price of an item that has been marked down by 20%, we need to understand that the current price represents 80% of the original price (100% - 20% = 80%).
Therefore, the sale price is 80% of the original price. If the shoes were on sale for $39.99, we can set up an equation where the original price is represented by x, and the sale price is 80% of x, or 0.80x.
The equation would be 0.80x = $39.99.
To find the original price, we divide both sides by 0.80:
x = $39.99 / 0.80
x = $49.9875
Therefore, the original price of the shoes was $49.99 when rounded to the nearest cent.