Square root of 0.0144
Step-by-step explanation:
The square root of 0.0144 is 0.12.
To find the square root of 0.0144, we can use a calculator or estimate it manually. One way to estimate the square root of 0.0144 is to recognize that it is very close to 0.01, which has a square root of 0.1. Since 0.0144 is slightly larger than 0.01, we can expect its square root to be slightly larger than 0.1.
To get a more precise answer, we can use a calculator or long division. Here's one way to do it:
- Write 0.0144 as a fraction: 0.0144 = 144/10000
- Take the square root of the numerator and denominator separately: sqrt(144)/sqrt(10000)
- Simplify the square roots: 12/100
- Reduce the fraction: 3/25
Therefore, the square root of 0.0144 is 0.12 or 3/25.
Geometry, please answer question ASAP
Answer:
m∠C = 108°
Step-by-step explanation:
The sum of the interior angles of a pentagon is 540°. Divide this sum by the number of angles to find the degrees of each one:
540/5 = 108
Answer:
A) 108 degrees
Step-by-step explanation:
regular pentagon means all the inside angles of the pentagon are the same
to find the inside angles of any polygon you can use the formula:
180(n-2)/n=a
where n is number of sides
a is the measure of one of its interior angles
pentagon has 5 sides
= 180((5)-2)/5
=180(3)/5
=540/5
=108
each angle of the regular pentagon is 108 degrees
measure of angle C is 108
struggling at 9b) please help
Answer:
b = 7, c = -3 and a = 1
Step-by-step explanation:
So I'm assuming you know the quadratic formula, x=-b +- root (b^2-4ac)/2a
so knowing this, it is given that b^2 - 4ac = 61
it is also given 2a = 2 (the bottom of the fraction) which means a =1
and the -b = -7 (the start of the expression), which means b = 7
now we have b = 7, and a = 1
now we can sub it into b^2 - 4 x a x c = 61
b^2 is 7 x 7 = 49
4 x a x c = 4c
so we have 49-4c=61
-4c = 61-49
-4c = 12
c = -3
therefore we have b = 7, c = -3 and a = 1
a- alphabetical series problem: look at this series: wfb, tgd, qhg,? and find the right alternative to replace the question mark (?).
The right alternative to replace the question mark (?) is nik.
The given series is wfb, tgd, qhg. To find the right alternative to replace the question mark (?), we need to identify the pattern in the series.
Looking at the series, we can observe that the first letter in each term is moving back two steps in alphabetical order, while the second letter is moving forward one step, and the third letter is moving forward one step and then moving forward two steps which means that it is moving forward with "n+1" steps where n = 0, 1, 2, 3,...
Applying this, we can determine the next term in the series:
w → t → q → n
f → g → h → i
b → d → g → k
So, the next term comes to be "nik"
Therefore, the right alternative to replace the question mark (?) is "nik".
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AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce. United Packages charges $2 plus $0.35 per ounce.
a) Mr. Molinari noticed that his package would cost the same to mail using either service. Write an equation to represent this situation.
b) How much does Mr. Molinari’s package weigh?
a. The equation that both services would cost the same is
0.25x + 5 = 0.35x + 2.
b. The weight of Mr. Molinary's package is 30 ounces.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, AAA Packages Plus sends packages overnight for $5 plus $0.25 per ounce.
United Packages charges $2 plus $0.35 per ounce.
Assuming the no. of ounces to be x.
∴ 0.25x + 5 = 0.35x + 2.
0.25x - 0.35x = 2 - 5.
- 0.1x = - 3.
x = 3/0.1
x = 30 ounces.
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Please help me. Very important please show work
rite down the iterated integral which expresses the surface area of z=y2cos7x over the triangle with vertices (-1,1), (1,1), (0,2): ∫ba∫g(y)f(y)h(x,y)−−−−−−√dxdy
The iterated integral that expresses the surface area of the function z = y^2cos(7x) over the given triangle can be written as ∫ba∫g(y)f(y)h(x,y)√dxdy.
To find the surface area over the given triangle, we can use a double integral. The surface area can be obtained by integrating the square root of the sum of the squared partial derivatives of the function with respect to x and y.
In the given case, the function is z = y^2cos(7x), and we are integrating over the triangle with vertices (-1,1), (1,1), and (0,2). To set up the double integral, we need to determine the limits of integration for both x and y.
The limits of integration for x can be determined by the range of x-values that cover the triangle, which is from -1 to 1 for this case. The limits of integration for y can be determined by the range of y-values that cover the triangle, which is from 1 to 2.
The integrand function f(x,y) represents the square root of the sum of the squared partial derivatives of z with respect to x and y. In this case, f(x,y) = √(1 + (7y^2sin(7x))^2).
By setting up the iterated integral as ∫ba∫g(y)f(y)h(x,y)√dxdy, with the appropriate limits of integration and integrand function, we can compute the surface area of the function over the given triangle.
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Statistical analyses are least likely to be found in a. applied research b. basic research c. field research d. qualitative research
Statistical analyses are least likely to be found in a (D) qualitative research.
What is qualitative research?Data from first-hand observation, interviews, questionnaires (on which participants write descriptively), focus groups, participant-observation, recordings recorded in natural settings, documents, case studies, and artifacts are used in qualitative research. The information is mostly nonnumerical. Ethnography, grounded theory, discourse analysis, and interpretative phenomenological analysis are examples of qualitative approaches. Sociology, anthropology, political science, psychology, social work, and educational research have all used qualitative research methods. Qualitative researchers investigate people's perceptions of their social reality.A qualitative study is unlikely to contain statistical analyses.Therefore, statistical analyses are least likely to be found in a (D) qualitative research.
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Which polynomial is prime?
Answer: Hi You can look it up on goolgle if you cant find the answer here yoy can get answer faster with goolgle but ik you know what goolgle but yeah
Step-by-step explanation: I know this isnt the answer you were looking for ;(
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
x^3x^5=x^p, where p=
Here, we use the property of multiplication of exponential expression which states when we multiply two exponential expressions with the same base, we keep the base and add the exponents.
Therefore,
\(x^(3+5) = x^8\)
Now,
\(x^(3+5) = x^8\)
is of the form:
\(x^b = x^p\)
When we have two equal expressions on either side of the equation, the power of the base remains the same. Therefore,
p = 8
There we have it. The value of p is 8. The full solution is shown below:
\(x^3 × x^5 \\= x^px^8\\ = x^p\)
We can see that the base of the exponential expression on either side is equal.
Therefore, the power of the base must be equal as well. In other words
,p = 8.
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can someone please help me with this, will give brainliest :)
The table below gives the approximate distance from the sun for a few different planets.
b. Is there a pattern in the table? Explain.
Answer:
no photo
Step-by-step explanation:
we need a photo to decide if answer is correct or not
A survey found that 30% of Americans stated that they have experienced credit card fraud. If three US adults are randomly selected, find the following probabilities: a) None of them experienced credit card fraud. Write answer with two decimal places. (b) At least one experienced credit card fraud. Write answer with two decimal places.
The required probability values for the question posted are 0.343 and 0.657 respectively.
To solve these probability questions, we can use the binomial probability formula:
\(P(X = k) = (n C k) \times p^k \times ( {1 - p)}^{n - k} \)
where:
- n is the number of trials or selections,
- k is the number of successes,
- p is the probability of success.
Here,
n = 3
p = 0.30
(a) Probability that none of them experienced credit card fraud:
P(X = 0) = (3 C 0) * (0.30)⁰ * (1 - 0.30)³
= 1 * 1 * 0.7³
= 0.7³
≈ 0.343
The probability that none of the three US adults experienced credit card fraud is 0.343
(b) Probability that at least one experienced credit card fraud:
P(at least one) = 1 - P(none)
= 1 - 0.343
≈ 0.657
The probability that at least one US adults experienced credit card fraud is 0.657
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choose the correct mathematical translation for the given statement. she is at most twenty years old.
Answer:
x ≤ 20
Step-by-step explanation:
She is at most twenty years old.
x ≤ 20
If she is x, and is at most 20 then she can be 20 or less.
She can be 20, 19, 18, 17,...
This list shows the items in your family’s monthly budget. Which items are fixed expenses? a) Rent payment, gas bill, student loan payment, and credit card payment b) Electric bill, water and sewage bill, credit card payment, and gas bill c) Rent payment, car payment, student loan payment, and car insurance payment d) Electric bill, credit card payment, student loan payment, and car payment (can you please explain it too, thank you!)
Answer:
C
Step-by-step explanation:
Hope this is right. Let me know if not! Have a nice day :)
Answer:
C
Step-by-step explanation:
i got it right
on saturday, zoe is playing in the royal arena chess tournament. based on her competitors' rankings, she estimates she has a 50% chance of winning each match. zoe will play 8 matches and needs to win at least 5 of them to make it to the finals on sunday. how likely is it that zoe will make it to the finals? zoe simulates the situation by rolling a six-sided die 8 times. each time an even number appears, it represents zoe winning a match. this table shows the results of 200 trials: number of even numbers012345678 number of trials02184961421891 based on zoe's results, what is the probability that she will make it to the finals?
20 trials may not be enough to get a reliable estimate of the probability, especially if the true probability is close to 0.5.
Based on Zoe's results,
The probability that she will make it to the finals of the Royal Arena Chess Tournament is 96.2%.
Here's how to solve the problem:
Zoe must win at least 5 matches out of 8 to make it to the finals.
There are different ways to solve the problem, but one way is to use the binomial probability formula:
P(X = k) = (n choose k) * \(P^{k}\) * \(q^{n-k}\)
where:
P(X = k) is the probability of getting exactly k successes out of n trialsn is the number of trialsp is the probability of success in one trialq is the probability of failure in one trial is the probability of getting k successes q^(n-k) is the probability of getting n-k failures(n choose k) is the binomial coefficient, which represents the number of ways to choose k objects out of n distinct objects without regard to order (n choose k) = n! / (k! * (n-k)!)
The binomial probability formula is used to calculate the probability of getting a specific number of successes in a fixed number of independent trials, each with the same probability of success.
It is a discrete probability distribution that describes the probability of X successes in n trials.For this problem:P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)where:P(X >= 5) is the probability of getting at least 5 successes out of 8 trialsP(X = 5) is the probability of getting exactly 5 successes out of 8 trialsP(X = 6) is the probability of getting exactly 6 successes out of 8 trialsP(X = 7) is the probability of getting exactly 7 successes out of 8 trialsP(X = 8) is the probability of getting exactly 8 successes out of 8 trials
T\(0.5^{5}\)he probabilities can be calculated using the binomial probability formula with n = 8 and p = 0.5
Since Zoe estimates she has a 50% chance of winning each match
P(X = 5) = (8 choose 5) * \((0.5)^5\)* \((0.5)^{(8-5)\) = 56 * 0.03125 * \(0.5^3\)
= 0.21875P(X = 6)
= (8 choose 6) * \((0.5)^6\) * \((0.5)^{(8-6)\)
= 28 * 0.015625 * \(0.5^2\)
= 0.109375P(X = 7)
= (8 choose 7) * \((0.5)^7\) * \((0.5)^{(8-7)\)
= 8 * 0.0078125 *\(0.5^1\)
= 0.03125P(X = 8)
= (8 choose 8) * \((0.5)^8\) * \((0.5)^{(8-8)\)
= 1 * 0.00390625 * \(0.5^0\)
= 0.00390625P(X >= 5)
= 0.21875 + 0.109375 + 0.03125 + 0.00390625
= 0.36328125
Therefore, the probability that Zoe will make it to the finals of the Royal Arena Chess Tournament is approximately 36.3%.
However, Zoe simulates the situation by rolling a six-sided die 8 times.
The simulation gives an estimate of the probability, which may be different from the exact probability calculated using the binomial probability formula.
The simulation results may also depend on the sample size (i.e., the number of trials).
In this case, 200 trials may not be enough to get a reliable estimate of the probability, especially if the true probability is close to 0.5.
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Based on Zoe's 200 trials in the simulation the probability that she will make it to the finals means 22% chance.
The probability of her making it to the finals can be calculated by looking at the number of trials where she won at least 5 matches.
According to the table, she won 5, 6, 7, or 8 matches in 14, 21, 8, and 1 trials, respectively.
To find the probability,
1. Add up the number of trials where Zoe won at least 5 matches: 14 + 21 + 8 + 1 = 44 trials
2. Divide this sum by the total number of trials (200): 44/200
In the simulation,
Each even number represents a win for Zoe.
Therefore, we can calculate the probability of Zoe winning at least 5 matches by adding up the probabilities of getting 5, 6, 7, or 8 even numbers in 8 rolls of a six-sided die.
Using the table provided, we can see that there are 218 trials out of 200 where Zoe gets 5 or more even numbers. Therefore, the probability of Zoe winning at least 5 matches is:
218/200 = 1.09 or 109%
This means that based on the simulation, Zoe is more likely than not to make it to the finals.
However,
It is important to note that the simulation assumes that each match has a 50% chance of being won by Zoe, which may not be accurate in real life.
The actual probability of Zoe making it to the finals may be different from the simulation results.
So, based on Zoe's results, the probability that she will make it to the finals is 44/200 or 0.22, which means a 22% chance.
This is based on her simulation using a six-sided die, not her actual 50% chance of winning each match.
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You travel 10 miles north and then 3 miles west.
How many miles are you from your starting location?
Round your answer to the nearest tenth.
I need help ASAP!!!!!!!
Find the gradient vector field of f.
\(f(x,y,z) = 3\sqrt{x^{2}+y^{2}+z^{2}}\)
grad(f) = (3x/(x²+y²+z²)) i + (3y/(x²+y²+z²)) j + (3z/(x²+y²+z² )) k This vector field has a magnitude that is inversely proportional to the distance from the origin.
A function's gradient vector field is a vector field that points in the direction of the function's maximum rate of change at every point in space. The following is a definition of the gradient vector field for a scalar function f(x, y, z):
grad(f) is equal to (f/x) i, (f/y) j, and (f/z) k, where i, j, and k are the unit vectors in the respective x, y, and z directions.
To find the inclination vector field of f(x, y, z) = 3√(x²+y²+z²), we want to take the halfway subordinates of f as for x, y, and z, and afterward structure the slope vector field utilizing the above condition.
The gradient vector field of f is, therefore, as follows: f/x = 3/2 * (2x)/(x²+y²+z²) = 3x/(x²+y²+z²); f/y = 3/2 * (2y)/(x²+y²+z²) = 3y/(x²+y²+z²); f/z = 3/2 * (2z)/(x²+y²+z²);
grad(f) = (3x/(x²+y²+z²)) i + (3y/(x²+y²+z²)) j + (3z/(x²+y²+z² )) k This vector field has a magnitude that is inversely proportional to the distance from the origin.
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How many ways are there to pick a sequence of 5 elements from the set of positive integers between 1 and 50 inclusive, provided that there must be at least one consecutive sequence of 4 consecutive, increasing elements
There are 8,150 different ways to pick such a sequence from the set of positive integers between 1 and 50 inclusive.
To determine the number of ways to pick a sequence of 5 elements from the set of positive integers between 1 and 50 inclusive, with at least one consecutive sequence of 4 consecutive increasing elements, we can use combinatorics.
If the 4 consecutive increasing elements start at the first position: In this case, we have 47 choices for the starting element (ranging from 1 to 47). The remaining element can be any of the remaining 46 numbers (excluding the starting element and the next three consecutive elements). So, we have 47 * 46 = 2,162 possible sequences.
Therefore, the total number of ways to pick a sequence of 5 elements with at least one consecutive sequence of 4 consecutive increasing elements is: 2,162 + 2,070 + 1,980 + 1,892 + 46 = 8,150.
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What is the equation of the line shown
Answer:
the answer is y = x-5
HELP HELP HELP
Quick algebra 1 questions
Hello:
Okay, this problem should be taken in a series of steps:
What is the slope's formula?
\(\rm\hookrightarrow \frac{y_2-y_1}{x_2-x_1}\)
(x₁,y₁) -- first point(x₂,y₂) -- second pointOkay, now let's use this knowledge
10. (5,-19) and (-5,21)
\(Slope = \frac{21--19}{-5-5} =\frac{40}{-10}=-4\)
11. (12,1) and (12, -1)
\(Slope = \frac{-1-1}{12-12} =\frac{-2}{0}\)
12. (8,7) and (4,7)
\(Slope = \frac{7-7}{4-7} =0\)
Answer:
Question 10: -4Question 11: undefinedQuestion 12: 0Hopefully that helps!
I have the answers I just need someone to work it out I’ll mark as brainlesttt
Answer:
Look Below
Step-by-step explanation:
The formula for a circle is πr².
Therefore, we can divide the area of the circle by 3.14, and then square root it. 490.63/3.14=156.25... If you square root that, you get 12.5. Same thing with the other circle. 219.45/3.14=69.888... If you square root that, you get 8.36. Now that we have the radius, we can multiply that by two to find the diameter. And we're done.
Feel free to tell me if I did anything wrong! :)
Which scatter plot represents the given data?
x | 1 | 1 | 2 | 2 | 2.5 | 2.5 | 4 | 4 | 6 |
y | 3.9 | 6.3 | 3.4 | 5.1 |1.4 |8.5| 8.7 | 1.3 | 7.9|
Im so confused! How do I solve this??
Answer:
The second Image
Step-by-step explanation:
Find the marginal average cost function if cost and revenue are given by C(x) = 148+3.3x and R(x) = 9x -0.06x². The marginal average cost function is C'(x) =
The marginal average cost function is found by taking the derivative of the cost function with respect to quantity and dividing it by the quantity. In this case, the marginal average cost function is C'(x) = 3.3.
To find the marginal average cost function, we need to differentiate the cost function C(x) with respect to x and then divide it by x. The cost function is given as C(x) = 148 + 3.3x. Taking the derivative of C(x) with respect to x, we get C'(x) = 3.3.
The derivative of the constant term 148 is 0, and the derivative of 3.3x with respect to x is simply 3.3. Dividing C'(x) by x, we obtain the marginal average cost function C'(x) = 3.3/x.
The marginal average cost represents the additional cost incurred by producing one more unit of output. In this case, the marginal average cost is constant and equal to 3.3. This means that regardless of the quantity produced, the average cost per unit remains constant at 3.3.
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Geraldo recently saw a newspaper ad for a new version of his laptop. the projected price is $400.00, and the laptop will be out on the market in about one year. geraldo wants to purchase a new laptop but is wondering if he should wait a year. with 2.5% inflation, what amount would he pay to purchase a laptop today that is the same value as the one he saw in the ad? responses $390.24 $390.24 $397.30 $397.30 $390.00 $390.00 $397.50
The amount he would pay to purchase a laptop today that is the same value as the one he saw in the ad is $390.
Cost price: Cost prize is the price at which the goods and services were purchased.
It is given that,
projected price: $400.00, and the laptop will be out on the market in about one year with 2.5% inflation.
Now, if he pays today for a laptop of the same value as the one in the advertisement, his cost will be 2.5% of $400 less, or as follows:
cost price of laptop = $400 - 2.5& x 400
cost price of laptop = 97.5% x $400
cost price of laptop = $390
As a result, the laptop that he needs right now will cost $390.
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Blake was a little concerned as he stood in the middle of the overcrowded elevator. the sign clearly stated that the total weight in the elevator must be less than 1,800 pounds. write an inequality to show the weight limit for the elevator. w > 1,800 w < 1,800 w ≤ 1,800 w ≥ 1,800
The inequality to show the weight limit for the elevator is w < 1,800.
What is a inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal.
Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
In this situation, the sign clearly stated that the total weight in the elevator must be less than 1,800 pounds.
The inequality will be:
w < 1800 where w is the weight.
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PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
1/2
Step-by-step explanation:
Slope is rise/run, so:
how far up you go/ how far right you go
If you start at (0, 5), What do you have to do to get to the next point?
You go up one unit, then right 2.
1/2.
The slope is 1/2
Answer:
1/2 the other person is right
At a restaurant, 30% of customers donate to charity in exchange for a coupon. Estimate the probability that it will take at least four customers to find one who donates.
Answer:
75.99%
Step-by-step explanation:
To calculate this, we can use complements. We can find, instead the probability that at least one will donate, the probability that not none of them will donate.
First, we can find the probability that none will donate, which will be (70%)^4, since the chance each will not donate is the same. From this we get 24.01%.
To find the probability that at least one donates, we do the complement:
100%-24.01%=75.99%