Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
What is Data?This is referred to as information that has been translated into a form that is efficient for movement or processing.
Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.
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NEED HELP FAST for 25pts
The coordinates of point C in the given right triangle ABC is (2, 2√3-2)
What is a triangle?A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
Given that, triangle ABC is a 30°-60°-90° triangle, where two vertices are A(-4, -2) and B(4, -2).
Now, AB=4-(-4)=8
AC=AB×sin60°= 8×√3/4√3
In right triangle ACD
AD=AC×cos30°
= 4√3×√3/2
= 6
Xc=6-4=2
Yc=AC×sin30°-2
= 4×3×1/2-2
= 2√3-2
The coordinates of point C(2, 2√3-2)
Therefore, coordinates of C(2, 2√3-2).
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A painter is going to paint a room shaped like a cube, with square walls that are 20 ft. on each side. A gallon of paint can be used to cover 400 square feet. How many gallons of paint should the painter buy?
1 gallon
5 gallons
6 gallons
4 gallons
The number of gallons of paint that the painter should buy is; 4 gallons
How to solve Algebra Word Problems?The parameters given are;
Side length of cube = 20 ft
Area that a gallon of paint can cover = 400 square feet
Since the room is shaped like a cube, then it will have 4 equal wall areas.
Area of one wall = 20 * 20 = 400 square feet
Area of 4 walls = 4 * 400 = 1600 square feet
Since 400 sq.ft is covered by 1 gallon, then;
1600 sq.ft = (1600 * 1)/400
= 4 gallons
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Hi there please help :)
Answer:
∠ a = 30° , ∠ b = 90°
Step-by-step explanation:
∠ a and 150° are a linear pair and sum to 180° , that is
∠ a + 150° = 180° ( subtract 150° from both sides )
∠ a = 30°
------------------
the sum of the 3 angles in a triangle = 180° , that is
∠ b + ∠ a + 60° = 180°
∠ b + 30° + 60° = 180°
∠ b + 90° = 180° ( subtract 90° from both sides )
∠ b = 90°
How you solve this I give extra points or money correct answer only
The points M(0, -1), and T(4, 6), on the diagonal [tex]\overline{MT}[/tex] of the rhombus MATH, indicates that the equation of the line containing the diagonal [tex]\overline{AH}[/tex], in slope and intercept form is; [tex]y = 3\frac{9}{14} - 4\cdot \frac{x}{7}[/tex]
What is a rhombus?A rhombus is a quadrilateral that has four congruent sides.
The specified shape of the quadrilateral MATH = A rhombus
The coordinates of the endpoints of the diagonal [tex]\overline{MT}[/tex] of the rhombus are;
M(0, -1), and T(4, 6)The equation of the line that contains the diagonal [tex]\overline{AH}[/tex] of the rhombus can be found as follows;
The diagonals of a rhombus are perpendicular, therefore, the slope of the diagonal, [tex]\overline{AH}[/tex]is -1 divided by the slope of the diagonal [tex]\overline{MT}[/tex]
The slope of [tex]\overline{MT}[/tex] = (6 - (-1))/(4 - 0) = 7/4
The slope of [tex]\overline{AH}[/tex] = -1/(7/4) = -4/7
The diagonals of a rhombus bisect each other, therefore, the diagonals [tex]\overline{MT}[/tex] and [tex]\overline{AH}[/tex] intersect at the midpoint of point [tex]\overline{MT}[/tex]
Therefore, the midpoint of [tex]\overline{MT}[/tex] is a point on the diagonal line that contains the diagonal [tex]\overline{AH}[/tex]
The midpoint of [tex]\overline{MT}[/tex] = ((0 + 4)/2, (-1 + 6)/2) = (2, 2.5)
The equation of the line containing the diagonal [tex]\overline{AH}[/tex] is therefore;
y - 2.5 = (-4/7)·(x - 2)
y = -4·x/7 + 8/7 + 2.5 = -4·x/7 + 51/14
y = -4·x/7 + 51/14 = -4·x/7 + 3 9/14
y = [tex]3\frac{9}{14}[/tex] - 4·x/7
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Find the magnitude and vector
-22.2m
12.6m
The magnitude of the vector is 25.5 metres.
How to find magnitude of a vector?The magnitude of a vector is the length of the vector. Therefore, the magnitude of a vector can be found using Pythagoras's theorem as follows:
Hence,
c² = a² + b²
where
c = hypotenusea and b are the other legsTherefore,
| N | = √22.2² + 12.6²
| N | = √492.84 + 158.76
| N | = √651.6
| N | = 25.5264568634
| N | = 25.5 metres
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Point R is located at (1,1) on the coordinate plane. Point R is reflected over the y-axis to create point R ′ . Point R' is then reflected over the x-axis to create point R''. What ordered pair describes the location of R''?
Answer:
Step-by-step explanation:
Here's a step-by-step explanation of the reflections:
Point R is located at (1, 1) on the coordinate plane.
Reflection over the y-axis: This reflection changes the sign of the x-coordinate. In other words, if the point (x, y) is reflected over the y-axis, the reflected point will be ( -x, y). So, for point R at (1, 1), the reflection over the y-axis creates R' at (-1, 1).
Reflection over the x-axis: This reflection changes the sign of the y-coordinate. In other words, if the point (x, y) is reflected over the x-axis, the reflected point will be (x, -y). So, for point R' at (-1, 1), the reflection over the x-axis creates R'' at (-1, -1).
So the final location of R'' is at the ordered pair (-1, -1).
Julie plans to invest her bonus of P100, 000.00 in two banks. The first bank earns an interest of 6% per annum while the other bank earns 8% interest per annum. If she wants her investment to earn a total interest of exactly P7, 200.00 after a year, how much does she need ot invest in each bank?
The amount of money that is invested in the first and second accounts will be 40,000 and 60,000, respectively.
What is the solution to the equation?The possible value of the variables that satisfy the equation which is known as the solution of the equation.
The interest is given as,
I = PRT / 100
Let 'x' be the amount invested in the first bank. Then the amount of investment in the second bank is (100,000 - x). Then the equation is given as,
x · 0.06 · 1 + (100,000 - x) · 0.08 · 1 = 7,200
0.06x + 8,000 - 0.08x = 7,200
-0.02x = -800
x = 40,000
The amount in the second bank is given as,
⇒ 100,000 - 40,000
⇒ 60,000
The amount of money that is invested in the first and second accounts will be 40,000 and 60,000, respectively.
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In this picture B,D, and F are
midpoints. AC=50, CE=60, and
BD=35
B
AE=[? ]
The measure of the side AE would be 70 units.
What is the triangle midpoint theorem?We know that the triangle midpoint theorem says that the line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
In the given triangle B, D, F are the midpoints of the triangle.
AC=50, CE=60,
BD=35
Then, in the given triangle if BD is connecting the midpoints of AC and CE then it must be parallel to AE and equal to FE ( half of AE).
⇒ BD ≅ FE= 1/2 AE
AE = 70 units
Then, the length of line segment AE = 70 units
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which answer is the right choice
7200+80x = 3200+120x
Reason:
Canton starts off with 7200 people. Add on 80x to represent the fact the town grows 80 people per year. That's how we end up with the expression of 7200+80x
Similarly, the expression 3200+120x represents the idea Holly Springs started off with 3200 people and grows at 120 people per year.
Find the degree, leading coefficients, and the maximum number of real zeros of the polynomial.
f
(
x
)
=
2
x
5
−
x
3
+
x
6
−
4
Degree =
Leading Coefficient =
Maximum number of real zeros =
The degree of the polynomial is; 6.
The leading coefficient of the polynomial is; 1.
The maximum number of real zeroes is; 6.
What is the degree of the polynomial?As evident in the task content; the given polynomial is;
f (x) = 2x⁵ - x³ + x⁶ - 4.
By observation, the term with the highest power of x is; x⁶.
Therefore, the degree is; 6.
The leading coefficient is the coefficient of x⁶ which is; 1.
The maximum number of real zeroes possible is dependent on the degree of the polynomial and is; 6.
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The cost of renting a car is $75 dollars per day there is also a charge of 30 to start with a full tank of gas so that the car may be returned full or close to empty. Write a function to represent the car rental using c for cost and d for number of days
Answer:
Step-by-step explanation:
The cost of renting a car for "d" days can be represented by the following function:
c(d) = 75d + 30
where "c" is the total cost of the car rental and "d" is the number of days the car is rented for. The first term, 75d, represents the daily rental fee of $75 per day. The second term, 30, represents the flat fee for the full tank of gas that can be returned either full or close to empty.
The teacher shave 25$ to buy supplies. Write and evaluate a numerical expression to show how much more money they will need to buy the cups and napkins.
The requried teacher needs $59.5 more to buy cups and napkins, as of the given condition.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
To find out how much more money the teachers will need to buy cups and napkins, we can first calculate the cost of each item and then add those costs together.
Each package of cups costs $3.50
The teachers need to buy 12 cups
So the total cost of cups is = 12 cups × ($3.50 per package) = $42
Now let's do the same thing for the napkins:
Each package of napkins costs $4.25
The teachers need to buy 10 napkins
So the total cost of napkins is = 10 napkins × ($4.25 per package) = $42.50
To find out how much more money the teachers will need to buy cups and napkins,
= $42 + $42.50 - $25
= $59.50 - $25 = $59.5
Therefore, the teachers will need $59.5 more to buy cups and napkins.
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Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
Answer:
Step-by-step explanation:
The slope of a line can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of two points on the line. In this case, we can use points A(4, 5) and B(9, 7):
slope = (7 - 5) / (9 - 4) = 2 / 5
So, the slope of line AB is 2/5.
A polynomial function can be written as (x − 2)(x − 3)(x + 5). What are the x-intercepts of the graph of this function?
The x-intercepts of the graph of the given polynomial function as described is; 2, 3 and -5.
What are the x-intercepts of a polynomial function?The x-intercepts of a polynomial function are otherwise termed, roots, solutions or zeroes of the polynomial function.
On this note, the x-intercepts of the polynomial function which is as described in this scenario are;
x - 2 = 0; x = 2.
x - 3 = 0; x = 3.
x + 5 = 0; x = -5.
Ultimately, the x-intercepts of the polynomial function in discuss are; 2, 3 and -5.
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A group of 500 middle school students were randomly selected and asked about their preferred television genre. A circle graph was created from the data collected.
a circle graph titled preferred television genre, with five sections labeled drama 14 percent, sports 22 percent, documentaries 24 percent, reality 20 percent, and sci-fi
How many middle school students prefer the Sci-Fi television genre?
100
80
72
20
Answer:
The answer is 100, see Step-by-step explanation:
Step-by-step explanation:
If anyone looks at the verified answer, its wrong and so are the comments under it. In the answer above it says "Sci-fi = 100-24-22-20-14=20" that is correct but the answer is not. 20 percent of 500 is 100 not 72 or 20, I don't know how anyone got those answers.
Their is a pair of parralle sides in the following shape 5 , 7, 6
what is the area of the shape
Answer: A = 15 units²
Step-by-step explanation:
The figure has 1 pair of parallel sides and is therefore a trapezium.
The area (A) of a trapezium is calculated as
A = h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ are bases
here h = 3, b₁ = 3 , b₂ = 7 , then
A = × 3 × (3 + 7) = 1.5 × 10 = 15 units²
PLEASE HELP!!!
A survey was conducted in which the customer service representatives of two companies were rated on a scale of 1 to 6. The graph below shows customer service ratings of 20 representatives. The interquartile range for each company is 3. The difference between the median rating for each company is approximately how many times the interquartile range?
The difference between the median rating for each company is approximately 0.3 times the interquartile range.
How to calculate the median service rating?Generally speaking, the median for 20 observations is the average of the 10th and 11th number:
Median rating of Company A = (4 + 4)/2
Median rating of Company A = 8/2
Median rating of Company A = 4.
Median rating of Company B = (3 + 3)/2
Median rating of Company B = 6/2
Median rating of Company B = 3.
Difference in median = 4 - 3
Difference in median = 1
For the required expression that models the difference between the median rating for each company and the interquartile range, we have the following:
1 = 3x
x = 1/3.
x = 0.3
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Mark and Don are planning to sell each of their marble collections at a garage sale. If Don has 1 more than 4 times the number of marbles Mark has, how many does each boy have to sell if the total number of marbles is 111?
On solving the provided question, we can say that in the equation,Often, there is only one variable, which also serves as the symbol. An illustration would be , [tex]D = 4(82-D)+2[/tex]
What is equation?The equal sign (=), which denotes equality, is used to unite two statements in a mathematical equation. In algebra, an equation is a mathematical statement that proves the equality of two mathematical expressions.
For instance, the equal sign separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14.The two sentences on either side of a letter are connected by a mathematical formula.
Each equation has a formula. Not every equation has a formula. Equations are created with the intention of being solved for a variable. If an equation meets the requirements for a function, it is a function. But not every equation is a function.
M+D = 82 marbles
[tex]M= 82- D[/tex]
[tex]D= 4M+2[/tex]
[tex]D= 4(82-D) +2[/tex]
[tex]D= 328 - 4D+2[/tex]
[tex]5D = 330[/tex]
[tex]D= 66[/tex]
Therefore, Don has 66 and Mark has 82-66 = 16
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Please help bro I need help solving this polynomial and terms
The expression represents a quintic polynomial with 4 terms. The constant term is -6, the leading term is x⁵/2, and the leading coefficient is 1/2.
What is a polynomial expression?A polynomial expression is a mathematical equation in which the polynomial is set to zero. The equation is made up of variables, non-negative integer exponents, coefficients, arithmetic operations, and an equal sign.
From the polynomial expression given:
[tex]\dfrac{1}{2}x^5 - 6 - x^4 -5x^2[/tex]
The degree of a polynomial is the highest degree of its terms which helps us to determine the type of polynomial (quintic polynomial). The constant term is -6.
The leading term in a polynomial is the term with the highest degree = x⁵/2. The leading coefficient of a polynomial is the coefficient of the leading term is 1/2.
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Answer:
quadrinomial, 4, -6, 1/2x^5, 1/2
Step-by-step explanation:
quadrinomials are polynomials with 4 terms
constant is the number with no variable
leading term is the term at the beginning
leading coefficient is the number at the beginning
As a fundraiser for her soccer team, Leslie must raise at least $120 by selling keychains and t-shirts. Each keychain costs $4 and each t-shirt costs $10. She must sell at least 18 items in total.
Choose the correct system of linear inequalities that represents Leslie’s situations.
X = keychains, y = t-shirts
Answer: The correct system of linear inequalities that represents Leslie's situation is:
4x + 10y ≥ 120 (to represent the requirement to raise at least $120)
x + y ≥ 18 (to represent the requirement to sell at least 18 items in total)
x ≥ 0, y ≥ 0 (to represent that Leslie must sell a non-negative number of keychains and t-shirts)
Where x represents the number of keychains sold and y represents the number of t-shirts sold. The first inequality represents the minimum amount of money Leslie needs to raise, and the second inequality represents the minimum number of items she needs to sell. The last two inequalities represent that Leslie can only sell a non-negative number of items.
Step-by-step explanation:
Which equation best represents the curve of best fit for this data?
Answer:yes
Step-by-step explanation:
find value of x please help
Answer:
...here is the answer...
Please help me with this question please
Answer:
51°
Step-by-step explanation:
180°-129°=51°
I hope it helps you
CIRCLES DRAG & DROP ACTIVITY 1: Drag & Drop the correct values to fill in each table below.
HELP ASAP WILL GIVE BRAINLIST!!!!!!!!!!
The radius, diameter, area and circumference of circle 1, 2, 3 and 4 are; (2, 4, 4π, 4π), (4, 8, 16π, 8π), (1, 2, 1π, 2π) and ( 8, 16, 64π, 16π) respectively.
What are the radius, diameter, area and circumference of each of the given circle?The diameter of a circle is 2 times the radius of the circle.
The area of a circle is expressed as: A = πr²
The circumference of a circle is expressed as: 2πr
For question 1)
Radius r = 2
Diameter = 2 × radius = 2 × 2 = 4
Area = πr² = π( 2 )² = 4π
Circumference = 2πr = 2 × π × 2 = 4π
For question 2)
Radius r = 4
Diameter = 2 × radius = 2 × 4 = 8
Area = πr² = π( 4 )² = 16π
Circumference = 2πr = 2 × π × 4 = 8π
For question 3)
Diameter d = 2
Radius = diameter / 2 = 2/2 = 1
Area = πr² = π( 1 )² = 1π
Circumference = 2πr = 2 × π × 1 = 2π
For question 4)
Diameter d = 16
Radius = diameter / 2 = 16/2 = 8
Area = πr² = π( 8 )² = 64π
Circumference = 2πr = 2 × π × 8 = 16π
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On a standard dice, what is the probability of not landing a 3
Answer:
5/6
Step-by-step explanation:
Ezra 1:9,10 records that King Cyrus returned thirty gold chargers, one thousand silver chargers, twenty - nine knives, thirty gold basons, four hundred ten silver basons, and one thousand other vessels. How many items did Cyrus return to Israel?
Answer:
2489
Step-by-step explanation:
it would be 30+ 1,000+29+30+400+1,000+ 2489
I really hope this helps
Proverbs 4:6-7
Do not forsake wisdom, and she will protect you; love her, and she will watch over you. The beginning of wisdom is this: Get wisdom. Though it cost all you have, get understanding. Cherish her, and she will exalt you; embrace her, and she will honor you. (just a little encouragement to keep studying hard!)
Answer:
2489
Step-by-step explanation:
(Score for Question 2: of 5 points)
-
2. Explain how to calculate 7% of 250 by first calculating 1% of 250.
Answer:
Math
Answer:
Note that 0.01 is the decimal form of 1%, so 0.01 multiplied by 7 yields 7%. So, if we were to find 1% of 250, which is 2.5, we can multiply the value by 7, which is 17.5.
Therefore, 7% of 250 is 17.5
A
15
What is the measure of ZA?
B
Enter the correct value.
C
The measure of angle A is given as follows:
<A = 60º.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.For the angle A, we have that:
The opposite side is of 13.The hypotenuse is of 15.Applying the sine ratio, the angle measure is given as follows:
sin(A) = 13/15
A = arcsin(13/15)
A = 60º.
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Solve for B, please.
Answer:
b = 30
Step-by-step explanation:
You want the value of b given line y = 20x +b passes through the points (6, 150) and (11, 250).
Solve for bThe equation y = 20x +b can be solved for b:
b = y -20x . . . . . . . . subtract 20x
Using the given point (x, y) = (6, 150), you have ...
b = 150 -20(6) = 150 -120
b = 30
Find the exact value of x
Answer:
[tex] \frac{1}{2} \times 25 \times 10 = 125 [/tex]
[tex] \frac{1}{2} \times breath \times perpedicular \: hight[/tex]
