In the case of Typical behavior of the sales prices of houses median is the best term. In the case of Ages of 1st graders mean is the best way of central tendency and for Heights of women mode is the best measure.
First of all we have to know the Mean, median and mode. The mean of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest. The mode is the number that occurs most often in a data set.
In the case of typical behavior of the variable sales price of houses, the Median will be the best measure of central tendency because the median will not get affected by the higher/lower prices of houses.
The age of each kid will be almost the same. In order to represent the typical behavior of the variable Age of 1st graders, the mean will be the best measure of central tendency.
Incase of Heights of women, the mode will be the best measure of central tendency as it will describe the height that most of the females have.
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we the following mixed operations word problems
During a normal day, there are 782 passengers in average that
are late for their plane each day. However, during the
Christmas holidays, there are 1,835 passengers that are late for
their planes each day which caused delays of 14 planes. How
many more passengers are late for their planes in each day
during the Christmas holidays?
An average of 782 travelers miss their flight each day during a typical day. In contrast, 1,835 passengers are late for their flights every day over the Christmas holiday, which results in 14 planes being delayed.
1,053 travelers (2,835-782 = 1,053)
During the Christmas holidays, there are 1,053 extra passengers who are late for their flights.
How do you figure out the average number of days late?In order to compute WADO, we multiply the total amount of each overdue invoice by the number of days past due, then divide that total by the number of days past due. You may figure out your average daily sales by dividing your total sales over a certain period of time by the number of days in that same period.
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Can someone help me please? Picture attached
a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.
what is triangle ?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric forms. The name given to a triangle with the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
given
by pythagoras theorem
c2 = a2 + b2
18*18 = a2 + 12*12
324 - 144 = a2
a2 = 180
a = [tex]6\sqrt{5}[/tex]
a = [tex]6\sqrt{5}[/tex] is the right angled triangle's third side when the right angle triangle's opposite sides are 18 and 12, respectively.
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Find the radius of a circle that has a sector area of 165.6 cm2 and an angle measure of 129*. Round your answer to the nearest tenth.
To find the radius of a circle given the area of a sector and the measure of the central angle of the sector, we can use the formula:
radius = sector area / (central angle measure / 360)
In this case, the sector area is 165.6 cm2 and the central angle measure is 129*. Plugging these values into the formula gives us:
radius = 165.6 / (129 / 360)
= 165.6 / (129 / 360)
= 165.6 / (0.3583)
= 462.9 cm
Rounding this value to the nearest tenth gives us a radius of approximately 463 cm.
A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
Answer: 73.2
Step-by-step explanation:
78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2
What's the longest UK number 1?
The person who has the most number 1 in UK is Elvis Presley. He has a total of 21 number 1 which is the highest in history.
The UK Singles Chart is a chart which numbers musician on the basis of their songs and their sales and streams it was created in 1969. The records and statistics listed here, however, date back to 1952 .
The song which charted the charts was Old Town Road which was recently remixed and launched by Lil Nas X.
Elvis Aaron Presley or more commonly known as Elvis, was an American singer and actor. He dubbed the "King of Rock and Roll", and is now regarded as one of the most significant cultural figures of the 20th century.
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Find the measure of the missing angle? please help :)
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
The measure of the angle ∠SUT is calculated as,
∠SUT + ∠UTS = ∠JST
∠SUT + 80° = 110°
∠SUT = 110° - 80°
∠SUT = 30°
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
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What is the discriminant of the quadratic equation 2x 5x^2 1?
The discriminant of the quadratic equation 2x + 5x² = 1 is 24.
The discriminant of a quadratic equation is the value calculated from the coefficients of the quadratic equation and it gives information about the nature of the roots of the equation. The discriminant can be used to determine the number and type of solutions/roots of the equation.
-If the discriminant is greater than zero, the equation has two distinct, real solutions (or roots).
-If the discriminant is equal to zero, the equation has one real solution (or root).
-If the discriminant is less than zero, the equation has no real solutions (or roots), only complex solutions.
The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.
Plug in the values and solve for the discriminant of the quadratic equation 2x + 5x² = 1.
b² - 4ac = (2)² - 4(5)(-1) = 24
Hence, the discriminant is 24.
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Tickets for all of the described charity raffle games cost $2 per game. James wants to choose three raffles that will give him the best chance of winning. Identify the games that james should play and the games he shouldn’t.
Answer:
C,A, and F
Step-by-step explanation:
the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps
3. Given: ACAN
m/ATN= (4x + 18)
Find: x so that AT is an altitude
N
Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)
What does trigonometry mean exactly?When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.
Here,
tan x tan 4x=1
cos 4X cos X - sin 4x sin x=0
cos 5x=0
5x=(n+1/2)π,n ∈ Z
x=(2n+1)/10 π,0 <x <π
π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)
Thus, there are only four solutions.
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What is the volume of this rectangular prism?
Answer:
40
Step-by-step explanation:
5 x 4 x 2 = 40
length x width x height = volume
8. Given : triangle PQR and triangle TSR are right triangles , R is the midpoint of overline PT , overline PQ cong overline TS Prove : Delta PQR cong Delta TSR
By using the ASA Congruence Theorem, Delta PQR is congruent to Delta TSR.
We can prove this by using the fact that triangle PQR and triangle TSR are both right triangles and that R is the midpoint of overline PT and overline PQ is congruent to overline TS. Since R is the midpoint of overline PT, it follows that overline PR is congruent to overline TR (by the midpoint theorem).
Since PQR is a right triangle, and R is the right angle, it follows that angle PQR is congruent to angle TSR (by the definition of a right angle). Since overline PQ is congruent to overline TS, it follows that angle PQS is congruent to angle TSR (by the definition of congruence). Together, these congruences imply that triangle PQR is congruent to triangle TSR by the ASA congruence theorem.
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Riders must be at least 42 inches tall to ride the coaster. Write an addition inequality to determine how much taller William must be to ride the coaster. Let x be the variable representing how much taller
An addition inequality to determine how much taller William must be to ride the coaster is, Height of William + x ≥ 42.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Riders must be at least 42 inches tall to ride the coaster, and 'x' be the variable representing how much taller William should be.
Therefore, Height of William + x ≥ 42 is an inequality that may be used to calculate how much taller William has to be in order to ride the coaster.
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Is this right?
If not please help me understand or tell me the answer.
=========================================
Explanation:
L = 6 inches = length
W = 3 inches = width
H = 5 inches = height
----------------------
V = volume
V = L*W*H
V = 6*3*5
V = 90 cubic inches is the volume
----------------------
SA = Surface Area
SA = 2*(LW + LH + WH)
SA = 2*(6*3 + 6*5 + 3*5)
SA = 126 square inches is the surface area
-----------------------
Unfortunately there isn't enough information to know the material cost. Please post the full problem, and any other relevant information connected to this question.
In AABC, AB = AC and AP 1 BC. If AB= (2x + 3) cm, AC = (3y-1) cm, BP = (y + 1) cm and PC = (x + 2) cm find the values of x and y.
Answer:
x = 1y = 2Step-by-step explanation:
Given isosceles triangle ABC with AB≅AC, altitude AP, and AB=(2x+3), AC=(3y-1), BP=(y+1), and PC=(x+2), you want the values of x and y.
Isosceles triangleCorresponding parts of ∆ABP and ∆ACP are congruent, so we have ...
2x +3 = 3y -1
x +2 = y +1
SolutionSubtracting twice the second equation from the first gives ...
(2x +3) -2(x +2) = (3y -1) -2(y +1)
-1 = y -3 . . . . simplify
2 = y . . . . . . add 3
Substituting into the second equation, we have ...
x +2 = 2 +1
x = 1 . . . . . . . .subtract 2
The values of x and y are 1 and 2, respectively.
EMERGENCY NEED HELP PLEASE HELP THE QUESTION IS ATTACHED TO THE QUESTION THING PLEASE HELP!!!
The required graph of the system of linear equations has been attached below.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
The system of linear equations is given in the question, as follows:
2x + y = 8 .....(i)
-x + 2y = 6 .....(ii)
To graph the equations using the slope and y-intercept,
1) To determine the slope m and the y-intercept, write the equation in the form y = mx + b. (0, b).
Plot the y-intercept next.
3) Depending on whether the slope is positive or negative, go up, down, or left or right from the y-intercept.
Thus, the required graph of the system of linear equations.
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Evaluate the infinite geometric series $0.79 0.079 0.0079 0.00079 0.000079 \dotsb$. Express your answer as a fraction with integer numerator and denominator.
Sum of the infinite geometric series = 79/9
A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.
Given Geometric sequences,
0.79, 0.079, 0.0079, 0.00079, 0.000079
so, the geometric series is:
0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........
The first term of given geometric series is 0.79
The second term of given series is 0.079
Therefore, the common ration is= 0.079/0.79 = 1/10
The Sum of infinite geometric series is given by, S= a/(1-r)
a here denotes the first term of the series
r denotes the common ration
so,
S = 0.79/{1-(1/10)}
or, S = 0.79/(9/10)
0r, S = 0.79 * (10/9)
0r, S = 79/9
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sort these from least to greatest
0
1
1/2
8/9
49/100
11/10
1/13
The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
What is a fraction?A fraction can be defined as the part of a whole number, variable or element.
There are several types of fractions, some of which includes;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have the fractions;
0, 1, 1/2, 8/9, 49/100, 11/10, 1/13
To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;
1/2 = 0.5
8/9 = 0.89
49/100 = 0.49
11/10 = 1.1
1/13 = 0. 08
However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
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-2n = -1 1/4
................................
Answer:
n = 5/8
Step-by-step explanation:
-2n = -1 1/4
-1 1/4 = -5/4
So, our equation is
-2n = -5/4
Divided both sides by -2
n = 5/8
So, the answer is
n = 5/8
Is 8 15 and 16 is a Pythagorean triplet?
No, 8,15 and 16 is not a Pythagorean triplet.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
One of the simplest Pythagorean triples is the set “3,4,5.”
Now, substitute the values in the above equation:
16²=8²+15²
256=64+225
256[tex]\neq[/tex]289
Therefore, (8,15,16) is not a Pythagorean triplet.
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Find the distance between point k and point L.
The distance between points L and K is 4 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Given, Are two points L and K.
The coordinate points of L(- 2, 6) and K(- 2, 2).
Therefore, The distance between points L and K is,
[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].
[tex]|LK| = \sqrt{16}[/tex].
[tex]|LK| = 4[/tex].
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What is the solution of the equation 8x 3y 5 and 3x 2y 5 answer?
The solution of the equation is x = 1 and y = 0.
We can solve this equation using the substitution method.
First, subtract 5 from both sides of the equation to isolate the x and y terms:8x - 3y = 0
3x - 2y = 0
Next, divide both sides of the first equation by 8:
x = (3/8)y
Substitute this expression for x into the second equation:
3(3/8)y - 2y = 0
Simplify:
(-13/8)y = 0
Divide both sides by -13/8:
y = 0
Now, substitute y = 0 into the first equation:
8x - 3(0) = 0
Simplify:
8x = 0
Divide both sides by 8:
x = 0
Therefore, the solution of the equation is x = 1 and y = 0.
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A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 liters. The combined volume of 2 large tanks and 3 small tanks is 21 liters. What is the volume of each size of tank? JUSTIFY YOUR ANSWER.
The size of the large tank is 6 liters and the size of the small tank is 3 liters.
What is the size of each type of tank?The first step is to form a system of equations using the information provided in the question:
3l + 2s = 24 equation 1
2l + 3s = 21 equation 2
Where:
l = volume of the large tank s = volume of the small tankThe elimination method would be used to solve the equations:
Multiply equation 1 by 2 and equation 2 by 3:
6l + 4s = 48 equation 3
6l + 9s = 63 equation 4
Subtract equation 3 from equation 4:
5s = 15
Divide both sides of the equation by 5
s = 15 / 5
s = 3 liters
Substitute for s in equation 1 :
3l + 2(3) = 24
3l + 6 = 24
3l = 24 - 6
3l = 18
l = 18 / 3
l = 6
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what is 5 2/3 x 3/4 equal?
Answer: 4 1/4
Step-by-step explanation: Decimal= 4.25
Answer:
Exact form: 17/4
Decimal Form: 4.25
Mixed number form: 4 1/4
Is this a perfect square trinomial X² 14x 49?
x² + 14x + 49, this is a perfect square trinomial, which is expressed as
(x + 7)².
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 14x + 49
(x)² + 2(7x) + 49
= (x)² + 2(x)(7) + 7²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 7)²
= (x +7) (x + 7)
so, this is a perfect square trinomial.
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somone please help me with this im begging you
Answer:
For Q.1, the answer is 9
Step-by-step explanation:
The volume formula for a cylinder is V=πhr^2. The volume formula for a cone is V=(πhr^2)/3. You might notice that the formulas are very similar; the only difference is the divided by three at the end. Because we are going from cylinder to cone, we have to multiply by three instead of dividing. Doing this, we get 3*3=9.
Try solving the rest of the problems using these two formulas by yourself. :)
Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$
Supposing the value of x to be an integer, the values of k that donot
satisfy the given equation 3x = k mod 6 are 1,2,4,5.
What is an integer?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
What is the difference between integers and whole numbers?Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.
If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.
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betsy correctly answered 19 of 25 trivia questions. What percent of the questions did she answer correctly?
1.14 is the answer just do 19%=1.14
passes through (6,6) and (-2,2)
Answer: 1/2 is the slope.
Step-by-step explanation: (-2-6)/(2-6) = -8/-4
-8/-4 Simplified is 1/2
Therefore 1/2 is your slope
Hope this helps!
Graph a line given the point A(-2, 3) and the slope of
2|3
Answer:
Step-by-step explanation:
To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score
So, on solving the provided question, we can say that to form a inequality - x * y > 8
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
here to form a inequality-
let x = goals by each player
y = no. of players
x * y > 8
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