Answer:
13
Step-by-step explanation:
Given
\(\sqrt{25+144}\)
= \(\sqrt{169}\)
= 13
What is 71 - 2 - 02 - 838 + 299 * 76
To solve:
71 - 2 - 02 - 838 + 299 * 76
Let's apply BODMAS here,
(71 - 2 - 2 - 8
General form of
Y= 1/3x +3 and has an x intercept of 3
Answer:
Step-by-step explanation:
y
=
1
3
x
−
3
Use the slope-intercept form to find the slope and y-intercept
Slope:
1
3
y-intercept:
(
0
,
−
3
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
x
y
0
−
3
3
−
2
Graph the line using the slope and the y-intercept, or the points.
Slope:
1
3
y-intercept:
(
0
,
−
3
)
x
y
0
−
3
3
−
2
image of graph
at a store a shirt has regular price of y dollars. During a sale, the price of the shirt by 40%. The expression 0.60y describes the discounted price, in dollars, of the shirt. Which expression also describes the discounted price, in dollars, of the shirt?
a) 0.4y
b) 7 - 0.4
c) y - 0.4y
d) y - 40
Minimize a firms total costs, C = 45X^2+90XY=90Y^2 When the firm has to meet a production quota equal to 2X+3Y=60 by
A. Finding the critical values
The solution (X = 8, Y = 16) represents a minimum because the second partial derivatives are both positive.
The quadratic equation's roots 32
+6x+8=0 utilises the quadratic formula to determine. x = is the quadratic formula.
where the quadratic equation's coefficients are a, b, and c. Here, an equals 1, b equals 6, and c equals 8. We obtain the quadratic formula's result by entering these values: x =
x = (-6 ± √(36 - 32)) 2 x = (-6 to 4) 2 x = (-6 to 2) 2 x = (-3 to 1) 1 x = (-2 to 4)
Generally, any quadratic equation of the form may be solved using the quadratic formula to get the roots.
Whereas a, b, and c are real numbers, + bx + c=0. One effective method for tackling a wide range of physics and maths issues is the quadratic formula.
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Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
what is the property of 3x(5x7)=(3x5)7
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Solve this pls. Thank you
Answer:
which one????????????????????
2x+y=8 simplify all fractions
The simplified form of the given equation ( 2x + y = 8 ) is x = 4 - y/2.
Simplify all fractions?Give the equation;
2x + y = 8Simplify2x + y = 8
Subtract -y from both sides
2x + y - y = 8 - y
2x = 8 - y
Divide both sides by 2
2x/2 = ( 8 - y )/2
x = 8/2 - y/2
x = 4 - y/2
Therefore, the simplified form of the given equation ( 2x + y = 8 ) is x = 4 - y/2.
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Use the given values on the table to determine a pattern and complete the table.
1st: -15
2nd: -8
3rd: -1
4th: 6
5th - ?
6th - ?
7th - ?
8th - ?
Step-by-step explanation:
5th - 13
6th - 20
7th - 27
8th - 34
♂️
Erik Red is a player for the Arizona Snowflakes in the National Foosball League. The league has 25 teams, each with 73 players. Every week, 8 players per team are chosen for random drug testing.
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?
Answer:
8/73
0.10959
21 players
Step-by-step explanation:
Given that:
Number of teams = 25
Number of players per team = 73
Number of players chosen for drug testing = 8
A) What is the probability that Erik Red is chosen for random drug testing in a specified week of the foosball season?
Number chosen per team / number of players per team
8 / 73 = 0.10959
B) What is the probability that Erik Red is chosen for random drug testing at least 5 times in the first 9 weeks of the foosball season?
P( being chosen at least 5 times)
USing binomial. Distribution
P(X =x) = nCr * p^x * (1-p)^n-x
To save computation time, we can use the binomial distribution calculator :
P(x≥5):p(x = 5) + p(x = 6) + p(x =7) + p(x = 8) +. P(x = 9) = 0.00136
C) What is the expected number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season?
Number who are chosen atleast 4 times :
P(x ≥ 4) = p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7) + p(x = 8) +. P(x =9) = 0.0115
P(x ≥ 4) * number of players per team * nunber of teams in league
0.0115 * 73 * 25 = 20.9875
= 21 players
D) Let Y be the number of players who are chosen for random drug testing at least 4 times in the first 9 weeks of the foosball season. What is the maximum possible value of Y, i.e., the largest k such that P(Y=k) > 0?
You see applications of mathematics concepts in everyday life. Can you give at least two examples that you believe are relevant to this math course (calculus)?
Answer:
circiut analysis
second law of thermodynamics
Step-by-step explanation:
in RC and Ral circiut, first order differential equations is an appropriate approach to solving the circuits
what is the sum(add) of 2.31 and .21
what is the sum(add) of 2.31 and .21
we have
2.31+0.21=2.52
Remember that
2.31=2+0.31
so
2+0.31+0.21=2+0.52=2.52
What will effect x with (x-4) have on the graph of the equation y= (x-3)
Given the function:
\(y=(x-3)^2\)You need to replace the variable "x" of the function with:
\(x-4\)And then simplify:
\(y=((x-4)-3)^2\)\(y=(x-4-3)^2\)\(y=(x-7)^2\)According to the Transformation Ru
The equation of a line is Y equals 1.5 X -2 what are its slope and y-intercept
Answer:
slope= 1.5 y intercept= -2
Step-by-step explanation:
The slope is always the number multiplied by x and the y intercept is always the number that is added or subtracted.
Javier threw 54 pitches in game 1 of the playoffs. He threw 76 pitches in game 4 of the playoffs. In game 7 he was able to pitch in the whole game throwing 83 pitches. What is the average amount of piches he threw per game he pitched?
average amount of pitches he threw per game is \(\frac{213}{3}\) = 71
According to the question,
Given that,
Javier threw 54 pitches in game 1,
He threw 76 pitches in game 4 and
He threw 83 pitches in game 7
total pitches in all 7 games is 54 + 76 + 83 = 213
average amount of pitches he threw per game is \(\frac{213}{3}\) = 71
Definition
Pitches per inning pitched is a tool used to evaluate how efficient a pitcher is at getting his outs -- or how many pitches he typically needs to use to do his job. Calculating the number is easy enough. It's found by dividing a pitcher's total number of pitches thrown by his total number of innings pitched.
Pitchers with the game's best P/IP rate typically average fewer than 15 pitches per inning. A starting pitcher with those numbers would be able to go seven innings on fewer than 105 pitches.
For all games of eight or more innings, a starting pitcher must pitch at least five complete innings to receive credit as the winning pitcher. For all games of fewer than eight innings, the starting pitcher must pitch at least four innings to get credit for the win. Additionally, the winning pitcher’s team must be in the lead when he is replaced and must remain in the lead for the rest of the game.
b. If the starting pitcher does not pitch enough innings, the win is credited to a relief pitcher in the following manner:
1) The winning relief pitcher shall be the one who is the pitcher of record when his team goes ahead and remains ahead throughout the remainder of the game. No pitcher may receive credit for a victory if the opposing team ties the score or goes ahead after he has left the game.
Exception—If a relief pitcher conforms to the above regulations but pitches briefly and ineffectively, the scorer should not credit him with a win. If a succeeding relief pitcher pitches effectively and helps maintain the lead, the scorer should award the win to that succeeding pitcher.
2) If his team maintains the lead throughout the game, and more than one relief pitcher is used, the scorer shall award the win to the relief pitcher that pitches most effectively, regardless of the number of innings pitched.
3) By pre-arrangement, if three or more pitchers are to be used, the pitcher of record shall be considered the winning pitcher.
c. When a batter or runner is substituted for a pitcher, all runs scored by his team during that inning are to his credit in determining the pitcher of record.
d. The starting pitcher shall be charged with the loss if he is replaced at any time while his team is behind and remains behind for the remainder of the game. Similarly, any relief pitcher who is the pitcher of record when the opposing team assumes the lead and never relinquishes it is charged with the loss.
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How many gallons of a 80% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 70% antifreeze?
The gallons of a 80% antifreeze solution must be mixed with 70 gallons of 25% antifreeze to get a mixture that is 70% antifreeze is x=315
Use a weighted average........ let x = an unknown number of gallons of the 80% solution.
then {x(80%) + 70 (25%)}/{x +70} =70%
{x*\(\frac{80}{100}\) + 70*\(\frac{25}{100}\)}/{x +70} =70%
{\(\frac{4x}{5}\) +17.50}/{x +70} =70%
\(\frac{4x+87.5}{5x+350}\) = \(\frac{70}{100}\)
40x+875 = 35x + 2450
40x-35x = 2450-875
5x = 1575
x=315
Keep in mind that the substance with the highest concentration is the solvent.
There are numerous varieties of solutions. A solute, for instance, could be a gas, a liquid, or a solid. Additionally, solvents can be solids, liquids, or gases.
The behavior of several types of solutions at the microscopic level is depicted in the following illustrations. You'll see that the solute particles are evenly spaced out among the solvent particles in each instance.
A solution is a homogeneous mixture of one or more solutes dissolved in a solvent. solvent: the substance during which a solute dissolves to produce a homogeneous mixture. solute: the substance that dissolves during a solvent to produce a homogeneous mixture. The solute is the substance that is being dissolved, while the solvent is the dissolving medium. Solutions are often formed with many different types and forms of solutes and solvents.
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triangle fun has vertices located at f(-2,-3), u (4,-2), and n (1,2), find the slope of UN. show your work
\(U(\stackrel{x_1}{4}~,~\stackrel{y_1}{-2})\qquad N(\stackrel{x_2}{1}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{1}-\underset{x_1}{4}}} \implies \cfrac{2 +2}{-3} \implies \cfrac{ 4 }{ -3 } \implies - \cfrac{4 }{ 3 }\)
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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How do I type in exponents
Answer:
on what
Step-by-step explanation: normaly you have a button that you can have certain characters
What’s the 6th term of 23,92,368
Answer:
23552
Step-by-step explanation:
23, 92, 368... is a geometric sequence.
first term = a = 23
common ratio = r = 2 term ÷ first term = 92 ÷ 23 = 4
nth term = \(ar^n^-^1\)
6th term = \(23*(4)^6^-^1\)
\(=23*4^5\)
\(=23*1024\)
\(=23552\)
Hope this helps :)
Pls brainliest...
there are 25 student in a class. five of then scored A and 10 of them score B while the other scored C for Biostatistics. if a student is selected at random, calculate the probability that the selected student scored A or B in biostastics.
There is a 60% probability that a randomly selected student from the class scored either an A or B in Biostatistics.
To calculate the probability that a randomly selected student scored either an A or B in Biostatistics, we need to consider the number of students who scored A and B and divide it by the total number of students in the class.
Given that there are 25 students in the class, 5 of them scored an A and 10 scored a B. To calculate the probability, we add the number of students who scored A (5) to the number of students who scored B (10):
Number of students who scored A or B = Number of students who scored A + Number of students who scored B = 5 + 10 = 15.
Therefore, the probability that a randomly selected student scored A or B
in Biostatistics is:
Probability = Number of students who scored A or B / Total number of students = 15 / 25 = 0.6 or 60%.
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What is the sine of Ø?
The value of sin of θ given in the unit circle using the coordinates is -√13/7.
Given a unit circle.
We know that any point on the unit circle can be represented in terms of the angle that the point makes with the positive X axis as,
x = cos θ and y= sin θ
Here θ is the angle formed by the positive X axis with the point.
Here also given a unit circle.
So using the coordinates, we get
cos (θ) = -6/7
sin (θ) = -√13/7
Hence the value of sin of θ is -√13/7.
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any help please — Put the fractions 12,38 and 34 in order from smallest to largest. Find the value of 113+256.
The value of 113+256 is determined by the above fractional formulae. Is 369
Why are fractional equations difficult to solve?An exact number that shows a percentage of a total is called a fraction. You may figure it out by dividing a sum by the quantity of parts. As an example, the number 12 represents one-half of a whole number or an object. Simple subtraction of the smaller numerator from the larger numerator will yield the solution to the problem. To solve, for instance, 6/8 - 2/8, just take 2 out of the answer. The answer, which can be abbreviated to "4/8," is 12, or 12.
Making a fraction simpler by reducing or simplifying it is our goal. In order to do this, we divide the denominator and numerator by the largest integer that can be divided into both integers precisely. That is to say,
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What is the unit rate for 3 gallons of paint for $16.50?
Answer:
$5.50 per gallon of paint
Step-by-step explanation:
To check answer: Divide: 16.50 ÷ 3
Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point u: (4,2) (5, 6) v: (2, 4) (3,8) U = V =
The vector is given by (1,4) and (1,4) for the given 2 conditons
what is vector?A vector is a mathematical object that has both magnitude and direction. In physics, vectors are used to represent quantities such as velocity, force, and acceleration. In mathematics, vectors can be represented by an ordered list of numbers (also known as components or coordinates) that specify the magnitudes of the vector in different directions. Vectors can be added, subtracted and multiplied by scalars. They also have properties such as dot and cross product. Vectors can be represented graphically as directed line segments. They are used in various fields like physics, engineering, computer science etc.
Part 1:
The vector is given by (final -initial)
=> (5-4 , 6-2)
=> (1 , 4)
Part : 2
The 2nd vector is given by (final - initial)
=> (3-2 , 8-4)
=> (1 , 4)
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a) A mechanical engineer conducted experiments to investigate the effect of four different types of boxes on compression strength (lb). The sample means from five experiments for each type of box were 650, 750, 700, 650 (unit: lb). Compute the SSTr.
b) In a single-factor ANOVA problem involving 5 populations, the total number of observations is 20, SSTr = 12 and SST = 20. What is the MSTr, MSE, and test statistic f.
a) To calculate SSTr, we need to first find the overall mean of the samples and then use it to calculate the sum of squares due to treatments (SSTr).
The overall mean of the samples can be found by adding up all the sample means and dividing by the number of samples:
Overall mean = (650 + 750 + 700 + 650) / 4 = 687.5
Next, we can calculate SSTr using the formula:
SSTr = n * (sample mean - overall mean)^2
where n is the number of observations in each sample. In this case, n = 5 for each sample.
So for the first sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5
For the second sample, SSTr = 5 * (750 - 687.5)^2 = 14062.5
For the third sample, SSTr = 5 * (700 - 687.5)^2 = 3062.5
For the fourth sample, SSTr = 5 * (650 - 687.5)^2 = 5362.5
Therefore, the total SSTr is:
SSTr = 5362.5 + 14062.5 + 3062.5 + 5362.5 = 27750
b) The degrees of freedom (df) for SSTr is k-1 where k is the number of groups/populations, and df for SSE is N-k where N is the total number of observations.
df(SSTr) = k - 1 = 5 - 1 = 4
df(SSE) = N - k = 20 - 5 = 15
The mean square for treatments (MSTr) is calculated as:
MSTr = SSTr / df(SSTr) = 12 / 4 = 3
The mean square for error (MSE) is calculated as:
MSE = SSE / df(SSE) = (20 - 5) / 15 = 1
Finally, we can calculate the F-test statistic as:
F = MSTr / MSE = 3 / 1 = 3
Therefore, the MSTr is 3, the MSE is 1, and the F-test statistic is 3.
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Sebastian observed the number of minutes his dormmates spent on social media sites while they were at the library. he reported his data in the following list.
13, 0 , 14 , 36, 18, 9
Find the mean absolute deviation (mad) of the data set. ___ minutes
The mean absolute deviation (MAD) of the data set is equal to 180.625.
The mean absolute deviation of a data set is to find the average distance of each observation of the data set and the mean of the data set.
Mean absolute deviation = 1/n ∑ absolute value of (xi - x bar)
x bar =average value of the given data set
n= total number of data set
xi = data value in a given set
According to the question,
x bar = sum of all the data set / total number of the data set
x bar = 2052/16 = 128.25
Substitute the value in the formula, we have
Mean absolute deviation = 2890/16 = 180.625
Hence, the Mean absolute deviation of the data set is equal to 180.625.
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As per the given data, the Mean absolute deviation (MAD) of the data set is equals to 17.5
The term Mean absolute deviation in math is defined as the average distance of each observation of data set and the mean of the data set.
Here we have given the following data.
=> 13, 0 , 14 , 36, 18, 9
Then the mean of the data is calculated as,
=> (13 + 0 + 14 + 36 + 18 + 9)/6
=> 90/6
=> 15
Now, we have to the Substitute the value in the formula, we have
And then the Mean absolute deviation is calculated as,
=> (90 + 15)/6
=> 105/6
=> 17.5
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Could someone show me a step by step process on how to do this problem? Calculus 2
The arc length is given by the definite integral
\(\displaystyle \int_1^3 \sqrt{1 + \left(y'\right)^2} \, dx = \int_1^3 \sqrt{1+9x} \, dx\)
since by the power rule for differentiation,
\(y = 2x^{3/2} \implies y' = \dfrac32 \cdot 2x^{3/2-1} = 3x^{1/2} \implies \left(y'\right)^2 = 9x\)
To compute the integral, substitute
\(u = 1+9x \implies du = 9\,dx\)
so that by the power rule for integration and the fundamental theorem of calculus,
\(\displaystyle \int_{x=1}^{x=3} \sqrt{1+9x} \, dx = \frac19 \int_{u=10}^{u=28} u^{1/2} \, du = \frac19\times\frac23 u^{1/2+1} \bigg|_{10}^{28} = \boxed{\frac2{27}\left(28^{3/2} - 10^{3/2}\right)}\)
Please help me with this please!!
Answer:
D
Step-by-step explanation:
I've managed to find the area of the shape I just need help stating the units of my answer