Answer:
-22
Step-by-step explanation:
Is mode a measure of center of center or a measure of variation
Answer:
a measure of central tendency
Step-by-step explanation:
The mode of a given data set is a measure of central tendency.
Statistical tools are usually classified as either a measure of central tendency or a measure of dispersion.
A measure of central tendency is a parameter that tends to determine how close a data is to the center. These parameters are mean, median and mode
A measure of dispersion measures how spread a data set is from the mean. These parameters are standard deviation, variance e.t.c
Find the radius of a circle in which the central angle, intercepts an arc of the given length s alpha = 126 deg; s = 4ft
The radius of the circle is approximately 12.183ft.
When finding the radius of a circle in which the central angle, intercepts an arc of the given length, we use the formula:
s=rα where s is the length of the arc, r is the radius of the circle and α is the angle in radians, so we need to convert the given central angle to radians.
Here is a step-by-step solution:
Given that α = 126° and s = 4ft,
we first need to convert α to radians by using the formula:
π radians = 180°or1 radian = 180°/πα = 126°= 126π/180 radians= 7π/10 radians Using the formula s = rα,
we can solve for the radius:r = s/α= 4/ (7π/10)= (40/7)π≈ 12.183ft
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y * 5= 12 what does y equal
Answer: y = 2.4
Step-by-step explanation: Lets plug in 2.4 for the value y;
y = 2.4
y x 5 = 12
2.4 x 5 = 12
You can find y by dividing 12 by 5 which equals 2.4
Help please!!!!!!????!!!!
Answer:
28 yd²
Step-by-step explanation:
find the two biggest sides
2x4
8 but there are two sides...
8*2= 16
*16*
now side panels
1x4
4 but there are two
4*2= 8
*8*
top and bottom panels
2x1
2 but there are two
2*2= 4
*4*
add them up
16 + 8 + 4= 28
Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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The point p(x, y) lies on the terminal side of an angle theta = startfraction 3 pi over 4 endfraction in standard position. what are the signs of the values of x and y
The point p(x, y) lies on the terminal side of an angle theta = startfraction 3 pi over 4 endfraction in standard position. Then x values are negative and the y values are positive.
What is angle?An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. When the two rays are creating an exact 180-degree angle, an angle is considered to be straight. It gets its name from the fact that two lines at an angle of 180 degrees resemble one single straight line. Angles, whose measure is always non-negative, have some standard language.
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I have very little points left and yes i know sad right but im BEGGING for somebody to please help me. the questions are With the points A(-4, -2) B(1, -3) C(2, -6) D(-1, 7). What are the coordinated of A' if the scale factor of dilation is 3? **Express your answer as (#,#) with no spaces.** *
PLEASE HELP ME PLEASE PLEASE PLEASE!!
Answer:
so to scale (or dilate) it by three you would multiply each of the numbers in your point by three. In this case that means A' would be (-12,-6)
Step-by-step explanation:
hope this helps :)))
Brianna’s pet lizard measures 15 centimeters long. Her goldfish measures 127 millimeters long. How many centimeters longer is Brianna’s lizard than her goldfish?
Answer: 2.3
Step-by-step explanation: you have to simplify 127 millimeters to centimeters which is 12.7 centimeters then subtract by 15 which is 2.3.
What is the value of the expression: 4^2 +4^2 +2^2
Answer:
Step-by-step explanation:
4^2 = 4 * 4 = 16
2^2 = 2 * 2 = 4
4^2 +4^2 +2^2 = 16 + 16 + 4 = 36
Answer:
The value of the expression is 36.
Help, with thig math question....
If a and b are opposites, what can you say about the locations of a and b on the number line?
(A) There is not enough information given.
(B) a is to the left of b.
(C) a is to the right of b.
(D) a and b are the same distance away from 0.
Answer:
(D)
Step-by-step explanation:
By definition, opposite numbers have the same magnitude from different signs.
This means that their absolute values are the same, and thus are the same distance away from 0.
An object shot into the air follows the path given by
r (t) = < at, bt − 4.9t2 >m
with t in seconds and a and b are unknown physical constants.
The launch speed is 500 m/s. If you need the object to land 14,000 meters downrange, what launch angle should you use? Measure the angle in degrees, counter-clockwise from the positive horizontal direction. Be accurate to two decimal places.
degrees
To land 14,000 meters downrange, the launch angle of the object should be approximately 38.88 degrees.
The horizontal distance traveled by the object is given by:
Range = R = b * t
where b is the coefficient of t in the r(t) equation.
The time taken by the object to reach the maximum height can be found by setting the vertical component of the velocity to zero:
v_y = b - 9.8t = 0
t = b/9.8
The maximum height attained by the object can be found by substituting the value of t in the r(t) equation:
h_max = r(b/9.8) = ab^2/(2 * 9.8)
The range can also be expressed in terms of the launch speed v and the launch angle θ:
R = v^2 * sin(2θ) / g
where g is the acceleration due to gravity.
Equating the two expressions for R, we get:
b * (2 * v^2 / g) * sin(θ) * cos(θ) = v^2 * sin(2θ) / g
tan(θ) = (2 * 4.9 * b) / (500)^2
θ = arctan[(2 * 4.9 * b) / (500)^2]
Substituting the value of b in terms of a, we get:
θ = arctan[(2 * 4.9 * a * tan(θ)) / (500)^2]
Using numerical methods or a graphical approach, we can find that the launch angle that gives a range of 14,000 meters is approximately 38.88 degrees.
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Click on all of the equations that have a larger v intercept and a smaller rate of change than the function in the graph
y = $1=3 = 24+5
Answer:
y+6
Step-by-step explanation:
If A= -2, 2, 0, -5, 7, 9, C=-1, -1, -2, -7, 3, 2, and A - B = C, what is B?
B = \(\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right]\) if A-B = C and values of A and C is given .
What is Matrix and determinants ?In linear algebra, determinants and matrices are used to solve linear equations by applying Cramer's rule to a collection of non-homogeneous equations that are expressed in linear form. Determinants are only determined using square matrices. If a matrix's determinant is zero, it is referred to as a singular determinant; if it is one, it is referred to as a unimodular matrix. For the system of equations to have a single solution, the determinant of the matrix must be nonsingular, or its value must be nonzero.In this post, we will discuss the definition of determinants and matrices, as well as their many types, characteristics, and instances.Calculation:
since A-B=C
so, A-C=B
plugging in the values :-
\(\left[\begin{array}{ccc}-2&2&0\\-5&7&9\end{array}\right] \left[\begin{array}{ccc}-1&-1&-2\\-7&3&2\end{array}\right]\) = B
B = \(\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right]\)
Hence the value of B is = \(\left[\begin{array}{ccc}-1&3&2\\2&4&7\end{array}\right]\)
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Use the right triangle and the Pythagorean theorem to calculate the distance between the two points (7,8) and (-5,-7)
The distance between the two points is 19.2 units.
Let the point (7, 8) be A and point (-5, -7) be B.
By joining these two points and drawing a right-angled triangle ABC with AB as the hypotenuse, we get point C at (7, -7)
The altitude of triangle ABC, AC = A - C
AC = 15 units
The base of the triangle ABC, BC = C - B
BC = 12 units
According to Pythagoras Theorem,
√(AC² + BC²) = AB
AB = √(12² + 15²)
AB = 19.2 units
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the length of a rectangular piece of sheet metal is longer than its width. a square piece that measures on each side is cut from each corner, then the sides are turned up to make a box with volume . find the length and width of the original piece of sheet metal.
The width of the original piece of sheet metal is (w^2 - l^2)/(3w + 3l), and the length is (l^2 - w^2)/(3w + 3l).
To solve this problem, we can use the formula for the volume of a rectangular box, which is V = lwh, where l is the length, w is the width, and h is the height.
First, let's find the height of the box. Since we cut squares from each corner, the height of the box is the length of the square that was cut out. Let's call this length x.
The width of the box is the original width minus the lengths of the two squares that were cut out, which is w - 2x.
Similarly, the length of the box is the original length minus the lengths of the two squares that were cut out, which is l - 2x.
Now we can write the volume of the box in terms of x, w, and l:
V = (w - 2x)(l - 2x)(x)
Expanding this expression, we get:
V = x(4wl - 4wx - 4lx + 8x^2)
Simplifying further:
V = 4x^3 - 4wx^2 - 4lx^2 + 4wlx
To find the dimensions of the original piece of sheet metal, we need to maximize this volume. We can do this by taking the derivative of the volume with respect to x and setting it equal to zero:
dV/dx = 12x^2 - 8wx - 8lx + 4wl = 0
Solving for x, we get:
x = (2wl)/(3w + 3l)
Now we can use this value of x to find the width and length of the original piece of sheet metal:
w - 2x = w - 2(2wl)/(3w + 3l) = (w^2 - l^2)/(3w + 3l)
l - 2x = l - 2(2wl)/(3w + 3l) = (l^2 - w^2)/(3w + 3l)
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PLEASE HELP ASAP!!!!!! I DO NOT KNOW HOW TO DO THIS!!!!! AND IT IS DUE TOMORROW ON FRIDAY!!!!!!! (Part 1) I will post part 2
1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²
What is a circle?The circle is a 2D geometrical figure, with no side or angle, and is made a collection of points.
Given that, 1) a circle with circumferences = 2πr and radius = r, 2) a circle having circumferences = 76 cm and 3) Jada is painting a table having diameter 37 in.
1) Assume the figure as a rectangle, (refer to attached figure)
We get, the length of it is πr and width is r.
And the area of a rectangle is = the Product of length and width.
So, we can conclude that the area of this rectangle is = πr×r = πr²
Therefore, by assuming the figure as a rectangle, we can explain why the area of a circle is πr²
2) circumferences = 2πr
2πr = 76
πr = 38
r = 38/3.14 (π ≈ 3.14)
r = 12.01 cm
Diameter = 2r
D = 2x12.01 = 24.20 cm
Area = πr²
= 3.14x12.01²
= 452.91 cm²
3) Diameter = 37 in
r = 37/2 = 18.5 in
Area = πr²
= 3.14x18.5²
= 1074.66 in²
Therefore, the area of the table is 1074.66 in²
Hence, the answers are 1) We can explain why the area is πr² by assuming the figure as a rectangle, 2) Diameter = 24.20 cm, Area = 452.91 cm² and 3) the area of the table is 1074.66 in²
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m2 = 12x - 2
2
+
40°
Answer:
M2 = 12x - 2
2
+
40°
Step-by-step explanation:
Answer: x = 6
Step-by-step explanation:
m∠2 and the unknown angle are congruent since their opposite sides are also congruent.
m∠2 = 12x - 2
Unknown angle = y = 12x - 2
m∠2 + y + m∠40° = 180° since they are angles of a triangle
12x - 2 + 12x - 2 + 40 = 180
24x - 4 + 40 = 180
24x + 36 = 180
Subtract 36 from both sides
24x = 144
Divide both sides by 24
x = 6
I hope I helped!
in the miss america pageant, 51 contestants must be narrowed down into 10 finalists. how many ways can this occur?
Total ways can occur is 19,653,800.
What is Combination?
Combinations are ways to choose elements from a larger set in mathematics where the order of the elements is irrelevant. Repetition is prohibited and the order of the elements does not matter in a combination, which is a subset of items.
The number of combinations of 51 things chosen 10 at a time, represented as C, determines the number of possibilities to choose 10 finalists from 51 contestants (51, 10).
Combinations are calculated as follows: C (n, k)=\(n! / (k! (n-k)!).\)
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants:\(C(51, 10) = 51! / (10! (51-10)!) = 51! / (10! 41!) = 19,653,800.\\\)
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in the miss America pageant, 51 contestants must be narrowed down into 10 finalists. The total number of ways that can occur is 19,653,800.
What is Combination?
In mathematics, combinations are strategies to select components from a bigger set where the order of the elements is unimportant. In a combination, which is a subset of items, repetition is not permitted and the position of the parts is irrelevant.
The possibility of selecting 10 finalists from 51 contenders is determined by the number of combinations of 51 things picked 10 at a time, denoted as C. (51, 10).
Combinations are calculated as follows: C (n, k)= \(\frac{n!}{k!(n-k)!}\)
Consequently, there are three options to choose 10 finalists from the pool of 51 applicants: 19653800
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A rectangular carpet is 5 times as long as it is wide. It’s width is 3 meters. What is the area of the carpet?
Answer:
The area of the square 45 \(meters^{2}\)
Step-by-step explanation:
Width 3 meters
3x5=15
Length 15 meters
3x15=45
a team can row 40km in 2 hours when rowing with the current, but only 16km in 2 hours when rowing against the current. determine the teams rowing speed when there is no current
Based on the rowing speed of the team when rowing with the current and when rowing against, the team rowing speed when there is no current is 14 km/h.
What is the rowing speed without current?Assuming that x is the rowing rate and y is the rate of the current, the equations needed will be:
2 (x + y) = 40
2 (x - y) = 16
We can add the x-values of the equation to find the value of x which will be the rowing speed without current:
2x + 2x = 40 + 16
4x = 56
x = 56 / 4
x = 14 km /h
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Which side lengths create a right triangle?
A 24,32,40
B 1,2,3
C 12,14,19
D 100,200,300
Answer:
a is the answer
Step-by-step explanation:
24^2 +32^2 = 40^2
576 + 1024 = 1600
Evaluate the trigonometric function directly, without first changing to degree measure. tan 0.5936
Given:
\(tan\theta=0.5936\)Aim:
We need to find the trigonometric function and the quadrant of the angle.
Explanation:
\(tan\theta=0.5936\)Take inverse trigonometry on both sides of the equation.
\(\theta=tan^{-1}0.5936\)\(\theta=30.6934\)\(\text{ The angle 30.6934 lies between 0 and }\frac{\pi}{2}.\)\(0\text{ to }\frac{\pi}{2}\text{ refers to the first quadrant.}\)Final answer:
\(Since\text{ 0.5963 is between 0 and }\frac{\pi}{2}\text{ the angle is in quadrant I.}\)\(tan30.6934^o=0.5936\)\(tan\text{ }0.5936=30.6934^o\)Pam has 228 ounces of lemonade. she pours the lemonade into
8-ounce cups, filling as many as she can until all the lemonade is
gone. the last cup is not completely full. how much lemonade is
in the last cup?
a: 4ounces
b: 8 ounces
c: 12 ounces
d: 3 ounces
The last cup contains 4 ounces of lemonade. Option (a) is correct.
Pam has 228 ounces of lemonade and she pours it into 8-ounce cups. To determine the amount of lemonade in the last cup, we divide the total amount of lemonade by the size of each cup.
228 ounces ÷ 8 ounces = 28 cups with a remainder of 4 ounces.
Since the last cup is not completely full, the remaining 4 ounces of lemonade are in the last cup. This means option (a), which states that there are 4 ounces in the last cup, is the correct answer.
By dividing the total amount of lemonade by the cup size and considering the remainder, we can determine the quantity of lemonade in the last cup, which in this case is 4 ounces.
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which of the following binary operations are commutative? a. substraction of integers b. division of nonzero real numbers c. function composition of polynomials
None of the options are commutative for the given binary operations.
Define the term commutative property?According to the commutative property, the numbers we use can be moved around or swapped around without changing the solution. With addition and multiplication, the principle is true, but not for division or subtraction.commutative property:
a*b = b*a
* is any binary operation.
Consider option a: subtraction of integers
Let a = 2, b = 3
a - b = b - a (commutative property)
But
2 - 3 ≠ 3 - 2
-1 ≠ 1 not commutative
Option b: . division of nonzero real numbers
Let a = 2, b = 3
a/b = b/ a (commutative property)
But
2/3 ≠ 3/2 not commutative
Option c. function composition of polynomials.
Let polynomial be a - b
Let a = 2, b = 3
a - b = b - a (commutative property)
But
2 - 3 ≠ 3 - 2
-1 ≠ 1 not commutative
Thus, none of the options are commutative for the given binary operations.
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Given vectors U = (7,4) and v = (1,-1), find the sum u + v and write the
result in component form.
Answer:
u + v = < 8, 3 >
Step-by-step explanation:
u + v
= < 7, 4 > + < 1, - 1 > ← add corresponding components
= < 7 + 1, 4 - 1 >
= < 8, 3 >
the trough in the figure is to be made to the dimensions shown. only the angle u can be varied. what value of u will maximize the trough’s volume?
The value of u that maximizes the trough’s volume is given by;\($$u = \tan^{-1}(-\frac{1}{h})$$\)
Let x be the angle between the slant side and the base of the trough, then the angle u can be expressed as follows:\($$u= 90^{\circ}- x$$\)
From the first equation, we get that\(;$$c = h \cos(x)$$\)
From the second equation, we get that;\($$a = h \sin(x)$\)$
Let the length of the base of the trough be L, then we have;\($$L = c + 2b$$\)
\($$L = h\cos(x) + 2b\)$$
Also, we have\(;$$h^2 = a^2 + b^2$$\)
\($$h^2 = (h \sin(x))^2 + b^2$$$$\Rightarrow h^2 - b^2 = h^2 \sin^2(x)$$$$\Rightarrow b^2 = h^2 (1- \sin^2(x))$$$$\Rightarrow b = h\cos(x)$$\pi\)
\($$V = (h\sin(x)-h\cos(x)) (h\cos(x)) (h)^2$$$$\Rightarrow V = h^4 \sin(x)\cos(x) - h^3 \cos^2(x)$$\)
Using the relationship between u and x, we have;\($$\sin(x) = \sin(90^{\circ}-u) = \cos(u)$$$$\cos(x) = \cos(90^{\circ}-u) = \sin(u)$$\)
Substituting these values in the above equation, we get;\($$V = h^4 \sin(u)\cos(u) - h^3 \cos^2(u)$$$$\Rightarrow V = h^3 \cos(u) (\sin(u) h - \cos(u))$$\)
Taking the derivative of V with respect to u, we get;\($$\frac{dV}{du} = h^3 (-\sin^2(u) h - \sin(u)\cos(u))$$\)
Setting this derivative to zero, we get;\($$-\sin^2(u) h - \sin(u)\cos(u) = 0$$$$\Rightarrow \sin(u) (\sin(u) h + \cos(u)) = 0$$\)
Since $\sin(u)$ cannot be zero, we have;\($$\sin(u) h + \cos(u) = 0$$$$\Rightarrow \tan(u) = -\frac{1}{h}$$$$\Rightarrow u = \tan^{-1}(-\frac{1}{h})$$\)
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Review: Find the difference.
(3- 2x + 2x2) - (4x -5 +3x2)
Answer:
refer to the pic
Step-by-step explanation:
This is what I got for this one
busco novia lesbiana mi inta es Arianaprince1
Answer:
Step-by-step explanation:
Ok que bueno sigue tu sueño amiga
The region in the first quadrant bounded above by the curve y = x², below by the x-axis and on the right by the line x = 4 about the line x = -1
the volume of the solid formed by revolving the given region about the line x = -1 is 160π cubic units.
To find the volume of the solid formed by revolving the region in the first quadrant bounded above by the curve y = x^2, below by the x-axis, and on the right by the line x = 4 about the line x = -1, we can use the method of cylindrical shells.
First, let's consider a vertical strip in the region with thickness Δx. The height of this strip will be the difference between the right and left boundaries, which is (4 - (-1)) = 5 units. The radius of the cylindrical shell will be the x-coordinate of the right boundary, which is x = 4.
The circumference of the shell will be 2π(radius) = 2π(4) = 8π.
The differential volume element of the shell can be expressed as dV = height × circumference × thickness:
dV = 5 × 8π × Δx = 40πΔx.
To find the total volume, we integrate the differential volume element over the range of x that defines the region. The lower limit of integration is x = 0 (intersection of the curve y = x^2 with the x-axis), and the upper limit is x = 4 (right boundary):
V = ∫[0, 4] 40πΔx.
Integrating the constant factor 40π with respect to x gives:
V = 40π[x] evaluated from 0 to 4
V = 40π(4 - 0)
V = 160π.
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