A collection of information, such as numbers, measurements, or observations, is commonly referred to as data.
Data can be collected from a wide variety of sources, such as surveys, experiments, or observations, and can be analyzed to reveal patterns, trends, and relationships.
Data can be represented in many different ways, including tables, graphs, charts, or statistical summaries, and can be used to make informed decisions in a wide range of fields, including business, science, healthcare, and social sciences.
However, it is important to ensure that the data is accurate, reliable, and unbiased, and that appropriate statistical methods are used to analyze and interpret it.
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Full Question: What is a collection of information such as number measurement or observation called?
Find all the angles, pls help it’s due soon
Answer:
a: 60
b: 120
c: 120
Step-by-step explanation:
Which fraction is equivalent to -1/3 ?
O-1/3 = 2/6
O-1/3 = -1/-3
O-1/3= 1/-3
O-1/3 = 1/3
Answer:
C. -1/3= 1/-3
Step-by-step explanation:
The answer is -1/3= 1/-3 because if you divide them to check, they will be the same.
Use calculator to check.
-1/3=-0.3
1/-3=-0.3
Hope this helps!
Which statement is true?
A. The product and sum of
and 17 are both irrational.
B. The product and sum of and V17 are both rational.
C. The product of , and \17 is irrational, while the sum of and/17 is rational.
D. The product of and 17 is rational, while the sum of ; and V17 is irrational.
Answer: B
Step-by-step explanation: The Product and sum of 17 and both irrational.
Helppp, please.
1. Find the lengths of PR and QS.
2. Find the area of triangle PQR.
3. Find the area of rectangle PQRS.
4. What is the sine ratio of angle PRS?
5. What is the cosine ratio of angle PRQ?
6. What is the tangent ratio of angle PQS?
Answer:
1. 20
2. 86.6
3. 173.2
4. 17.32/20
5. 10/20
6. 17.32/10
Step-by-step explanation:
sin 60 = x/20 17.32
cos 60 = x/20. 10
The lengths of PR and QS are; 20 and 28.28
The area of triangle PQR is, 282.8
The area of the rectangle PQRS is, 100√3.
The sine ratio of angle PRS is , 1 / 2.
The cosine ratio of angle PRQ is, √3 / 2.
The tangent ratio of angle PQS is, √3 / 3.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
we know that its diagonal bisects each other therefore PT=TR i.e. 10 units
PS = 20 units
The area of triangle PQR = 1/2 x 28.28 x 20
= 282.8
Area of rectangle = PQ x PS
Area = 100√3
The angle PRS is 30°
The sum of interior angle of a triangle.
sin30° = PS/PR
1/2 x 20 = PS
PS= 10 units
The angle PRQ is 60°
By Alternate interior angle
cosine60°=QR/PR
1/2 x 20 = QR
QR= 10 unit
cos QSR = 10/20
cosQSR=1/2
angle QSR = 60°
Thus angle PQS is 30°
tanPQS = 1/√3
PQ= 10√3
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If RQ=8, what is the length of RP ?
The length of RP is 5.66 unit. The Pythagorean theorem states that "In any right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides(the legs)".
Mathematically, the Pythagorean theorem can be represented as:
c^2 = a^2 + b^2;Where c represents the length of the hypotenuse and a and b represent the lengths of the other two sides (legs) of the right triangle.
Body of the Solution: Assuming RQ is the hypotenuse and RP and PQ are the legs.Since PQR is an isosceles triangle,then RP=PQ. we can apply the Pythagorean theorem to solve for the length of RP.
Let's represent the length of RP as x. According to the Pythagorean theorem,we have:
(RQ)^2 = (RP)^2 + (PQ)^2
Substituting the given value, we get:
8^2 = x^2 + x^2
64 = 2x^2
Dividing both sides by 2, we have:
32 = x^2
x = √32
Therefore, the length of RP is approximately 5.66 unit, rounded to two decimal places.
Thus, the length of RP is 5.66 unit.
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5. What is the range? Explain. (1 point)
The range of the given graph is [5, ∞).
Range.
Range refers the set of possible output values, and if we have the graph, then the set of all possible y values on the graph is defined as the range.
Given,
Here we have the graph.
Through the given graph we have to find the range of the line.
As per the definition of range, we have identified that the range take the value of y axis.
While we lookin into the given graph, we have identified that the starting point of the line is
=> (0, 5)
In this point 0 refers the x coordinate and 5 refers the y coordinate. So, the starting range is 5.
And the end of the line is not pointed.
So, we can consider that this line goes infinitely.
So, the range of the graph is [5, ∞).
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What is 3 / 5 x 8/9?
A. 8 /15
B. 11 /14
C. 27 / 40
D. 91 /40
Answer:
A) 8/15
Step-by-step explanation:
3 / 5 x 8/9
(3/5)(8/9)
(3*8)/(5*9)
(24/45)
8/15
Answer:
8/15
Step-by-step explanation:
3 / 5 x 8/9
Multiplying fractions
Rewriting
3/9 * 8/5
Simplify
1/3 * 8/5
Multiply the numerators
1*8 =8
Multiply the denominators
3*5 = 15
8/15
One weer to purchase the new backhoes. Old Backhoes New Backhoes Purchase cost when new $91400 $199.994 $41.400 $54,112 Salvage value now Investment in major overhaul needed in next year Salvage value in 8 years Remaining life Net cash flow generated each year $15,200 588.000 Byears 8 years 330.400 344,300 Click here to view PV table (a) Evaluate in the following ways whether to purchase the new equipment or overhaul the old equipment. (Hint: For the old machine the initial investment is the cost of the overhaul. For the new machine, subtract the salvage value of the old machine to determine the initial cost of the investment) (1) Using the net present value method for buying new or keeping the old. (For calculation purposes, use 5 decimal places as displayed in the factor table provided. If the net present value is negative, use either a negative sign preceding the number es 45 or parentheses es (45). Round hinal answer to o decimal places, ex 5.275) New Backhoes Old Backhoes Question 1 of 1 9.17 /10 Waterways should retain Old Backhoes equipment (3) Comparing the profitability index for each choice. (Round answers to 2 decimal places, e.s. 1.25) New Backhoes Old Backhoes Profitability Index 1:20 365 Waterways should retain On Backhoe equipment. Calculate the internal rate of return factor for the new and old blackhoes (Round answers to 5 decimal places, e.3. 5.276473 New Backhoes Old Backhoes
Waterways should retain the old backhoes equipment.
To determine whether it is more favorable to purchase new backhoes or overhaul the old ones, we will evaluate the net present value (NPV), profitability index (PI), and internal rate of return (IRR) for both options.
Net Present Value (NPV):
For the new backhoes:
The initial cost of investment = Purchase cost when new - Salvage value now
= $199,994 - $15,200 = $184,794
The net cash flow generated each year for the new backhoes remains unspecified, so we cannot calculate its NPV.
For the old backhoes:
Initial investment = Cost of the overhaul = $41,400
Net cash flow generated each year = $15,200
Using the provided PV table, we can calculate the NPV for the old backhoes:
NPV = Net cash flow generated each year * PV factor for 8 years - Initial investment
= $15,200 * 5.76162 - $41,400 ≈ $55,689.69
Since the NPV for the old backhoes is positive, retaining the old equipment is favorable.
Profitability Index (PI):
The profitability index is calculated by dividing the present value of cash inflows by the initial investment.
For the new backhoes:
Since the net cash flow generated each year is unspecified, we cannot calculate the PI.
For the old backhoes:
PI = (Net cash flow generated each year * PV factor for 8 years) / Initial investment
= ($15,200 * 5.76162) / $41,400 ≈ 2.11
The profitability index for the old backhoes is 2.11.
Based on the PI, the old backhoes have a higher profitability index than the new backhoes, indicating that retaining the old equipment is more profitable.
Internal Rate of Return (IRR):
The IRR factor for the new and old backhoes is not provided, so we cannot calculate the exact IRR.
In summary, based on the net present value (NPV) and profitability index (PI), it is more favorable for Waterways to retain the old backhoes equipment.
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ares of a rectangular floor of your house is Ax+5x-2. if the length is x+2 units, find A
Answer:
A=4.
Step-by-step explanation:
Note: In the expression of area the first term should be \(Ax^2\).
It is given that area of a rectangular floor of your house is \(Ax^2+5x-2\) and the length is \((x+2)\) units.
We know that, area of a rectangle is
\(Area=length\times width\)
Since length of the rectangle is \((x+2)\), therefore \((x+2)\) is a factor of \(Ax^2+5x-2\) and the value of \(Ax^2+5x-2\) is 0 at x=-2.
\(A(-2)^2+5(-2)-2=0\)
\(4A-10-2=0\)
\(4A-12=0\)
\(4A=12\)
Divide both sides by 4.
\(A=4\)
Therefore, the value of A is 4.
What is the radius of a circle whose equation is y2 y2 8x 6y 21 0?
The radius of a circle having the equation x² + y² + 8x - 6y + 21 = 0 is 2 units .
In the question ,
it is given that ,
the circle is having the equation ⇒ x² + y² + 8x - 6y + 21 = 0 ,
we know that ,
general equation of circle is written as x² + y² + 2fx + 2gy + c = 0 ;
so , radius of circle is calculated using the below formula ,
radius = √(f² + g² - c)
On comparing, given equation of circle with general equation of circle ,
we get , the values of f = 4 and g = -3 .
So after substituting the values of f , g and c in the radius formula ,
we get ,
radius = √(16 \(+\) 9 - 21)
= √(16 \(+\) 9 - 21)
= √(25 - 21) = √4 = 2 .
Therefore , the given circle has radius = 2 units .
The given question is incomplete , the complete question is
What is the radius of a circle whose equation is x² + y² + 8x - 6y + 21 = 0 ?
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Help please thank you
4 water bottles cost 10$ how many would 3 bottles cost
10/4=2.5
2.5 times 3=
7.5
3 water bottles would cost 7dollars and 50 cents
translation: 6 units right and 2 units down
D(-5, 1), E(-5,2), F(-1, 3), G(-1, -1)
Answer:
In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved. To translate the point P(x,y) , a units right and b units up, use P'(x+a,y+b) .
Step-by-step explanation:
Hope this helps!
Answer:
See below.
Step-by-step explanation:
A translation of 6 units right is 6 added to the x-coordinate.
A translation of 2 units down is a 2 subtracted from the y-coordinate.
Are D through G answer choices, or are you supposed to do the above translation to those 4 points?
Select the correct answer. Which set of coordinates satisfies the equations 3x-2y= 15 and 4x - y = 207 OA (2-7) OB (1.6) OC (5.0) OD. (0,75).
Answer:
C.) (5,0)
Step-by-step explanation:
You see where the lines cross together. That will be the answer.
Steven is making some party favors for his birthday party. He has 96 cars and 80 game cards. He wants each party's favor to be the same, and he wants to use all of the cars and game cards. How many party favors can he make? How many cars and game cards will be in each bag?
Answer:
He can make 16 party favors.
There will be 6 cars in each bag.
There will be 5 game cards in each bag.
Step-by-step explanation:
96/16=6
80/16=5
Shandra practices the piano 392 minutes in 2 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 5 weeks?
The number of minutes that she practices in 5 weeks will be 980 minutes.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Shandra rehearses the piano for 392 minutes in about fourteen days. Expecting she rehearses a similar sum consistently.
Let 'x' be the number of minutes that she practices in 5 weeks.
Then the number of minutes that she practices in 5 weeks will be given as,
x / 5 = 392 / 2
Simplify the equation, then we have
x / 5 = 392 / 2
x / 5 = 196
x = 980 minutes
The number of minutes that she practices in 5 weeks will be 980 minutes.
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What are the limitations of using the Fundamental Counting Principle when determining the probability of an outcome?
Answer:
Isn't specific
Step-by-step explanation:
The Fundamental Counting Principle states that if there are x ways to do something and y ways to another, you can multiply x and y to do both things.
While this is a fast way of determining how many possible outcomes there are, it is broad and can't help you determine what those outcomes are.
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In a class test containing 10 questions, 5 marks are awarded for every correct answer and (−2) marks are awarded for every incorrect answer and 0 for questions not attempted.
Heena gets two correct and five incorrect answers out of seven questions she attempts. What is her score?
Answer:
0 points
Step-by-step explanation:
So first we see that she gets 2 questions correct,
2 * 5 = 10
Then we see that she gets 5 questions wrong,
5 * -2 = -10
Then we see that she doesn't attempt three questions,
3 * 0 = 0;
Now we add up the points,
10 - 10 + 0 = 0 points
Answer:
Heena gets 2 correct and 5 incorrect. She attempts only 7 questions so for the remaining 3 questions she will score zero marks.
So total marks scored by Heena is 5×2−5×2+0 i.e 0marks
Step-by-step explanation:
Russell has a collection of 1,200 pennies of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000.
How many pennies in Russell's collection are dated after 2000?
Answer:
480 pennies after 2000
Answer:
480
Step-by-step explanation:
25% of the pennies are dated before 1980.
35% are dated from 1980 to 2000, so also before 2000.
Total percent of pennies dated before 2000:
25% + 35% = 60%
100% - 60% = 40%
Percent of pennies dated after 2000: 40%
40% of 1,200 = 40% × 1,200 = 0.4 × 1,200 = 480
Answer: 480
Chicken is on sale for $3.90 per pound. If
Ms. Gellar buys 2.25 pounds of chicken, how
much will she spend? Round to the nearest
penny.
Answer:
$8.78
Step-by-step explanation:
Hello!
To find how much she will spend we multiply the cost per pound by the amount of pounds
3.90 * 2.25 = 8.775
Round to the nearest penny
$8.78
The answer is $8.78
Hope this helps!
The Thompson family uses up a 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?
Answer:
The Thompson family uses up a 1/2
gallon jug of milk every 3 days.
rate drink milk per day
Solution =1/2÷3
= 1/6
So the answer is 1/6
Step-by-step explanation:
Hope you have a great/Amazing day.
Which two of the following are continuous data?
A) concert attendance
B) age of a student
C) number of pens in a box
D) time taken to run 1 mile
Answer:
Age of a student (B) and Time taken you run 1 mile (D)
Step-by-step explanation:
Only the age of a student and the time taken to run 1 mile are continuous data.
What are the types of data?
The data is classified into majorly four categories:
Nominal data: Nominal Data is used to label variables without any order or quantitative value.Ordinal data: Ordinal data have natural ordering where a number is present in some kind of order by their position on the scale. Discrete data: The term discrete means distinct or separate. The discrete data contain the values that fall under integers or whole numbers.Continuous data: Continuous data are in the form of fractional numbers. It can be the version of an android phone, the height of a person, the length of an object, etc. Continuous data represents information that can be divided into smaller levels. The continuous variable can take any value within a range.As per the given definitions above we can state that Continuous data is (B) the Age of the students (D) the Time taken to run 1 mile
Therefore, the Answer is (B) and (D)
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I WILL MARK BRAINLIEST FOR THIS!!!!!!!!!!!
Tatiana realizes she needs to bring her grades up if she wants to get into a university. Which of the following is a short-term goal to help her do this?
She will complete all of her homework this week.
She will earn all A's next year.
She will get a job as a lawyer after graduation.
She will get into a graduate degree program.
Answer:
She gets a job as a lawyer after graduation.
Step-by-step explanation:
Mr. Hall has $230 to spend on supplies for his classroom. He will buy a bookshelf and some books. The bookshelf costs $90. He will buy books that cost $5 each.
Create an inequality to model this problem then solve the inequality. What does your answer mean?
Make sure to show or explain how you got your answer.
Answer:
He can buy 28 books or less.
Step-by-step explanation:
ox will represent the number of books he can buy. He can only use $230 or less. I am going to use <, but It's supposed to be less than or equal, not less than, so make sure to put a less-than sign with a line under it.
90+5x<230 Subtract 90.
5x<140 Divide by 5.
x<28 This means that he can buy 28 or fewer/less books.
Suppose a ball was dropped from a TV tower 2120 feet high. The time it takes an object to free-fall from the top of this tower to the ground can be represented by the equation s = - 16t^2 + 2120, where s is the distance from the ground in feet and t is the time in seconds. Approximately how long would it take the object to reach the ground? Round your answer to the nearest tenth.
it would take the object approximately 11.51 seconds to reach the ground.
What is time?Generally, Time is a concept used to describe the progression of events, or the duration of those events. It is often measured in units such as seconds, minutes, hours, days, and years.
Time can also be described as a continuum, with past events on one end and future events on the other.
Time is a fundamental aspect of the universe and is closely related to concepts such as causation, change, and entropy.
The time it would take the object to reach the ground can be found by setting the distance from the ground, s, to 0 and solving for t.
0 = -16t^2 + 2120
t^2 = (2120/16)
t = \(\sqrt{(2120/16)}\)
t = approximately 11.51 seconds
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a mustard seed has a mass of about 0.002 grams a glas jar contains about 4.3602x10e4 seeds what is a estimate of the mass of the mustard seeds in the jar
Answer:
It has to 4.3 because u divided it from the sum to get the an porportional answer so u had to solve it from a measurement on how many seeds does which the mass revolves around
Step-by-step explanation:
Answer: the correct answer is D but make sure u read the answer below right.
Step-by-step explanation: (2 x 10 ^-3) x (4 x 10 ^4)=8 x 10 ^1
A men’s basketball coach would like to know if there is a relationship between how tall a player is and how high he can jump. Here is a scatterplot of the data.
Describe the scatterplot.
The relationship between height and vertical jump distance is
, , and .
There are, ,unusual observations.
Answer:
Positive, Linear, Strong, no
Step-by-step explanation:
I got it right :)
Answer: The relationship between height and vertical jump distance is negative positive, linear, and strong.
There are no unusual observations.
Step-by-step explanation:
Edge
Someone please help me with this question and explain to me how to solve it
Answer:
Okay so x greater then or equal to 7
To plot ask yourself:
Open or Closed Circle:
Open->, <
Closed-Greater then or equal to or less then or equal to
Also ask:
am i ploting to the left or to the right
Step-by-step explanation:
It is going to be a closed circle, since it is greater then or equal too
And you cand use the sign so it is going to go to the left <------ (that way)
You can use the sign to guied you ex: x>5 you are going to the right ---->
Also, for this topic just know if the equation is like this: 3>x
MAKE SURE TO SWICH IT TO THIS:
x<3
YOU HAVE TO SWITCH THE EQUATION AROUND AND THE SIGN
I hope this helped! :D
help please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.
Given solution of a question done by two people.
Jenna's method
5(30+4)
(5)(30)+(5)(4)
150+20=170
Mia's method
5(30+4)
5(34)=170
We are required to find why they have achieved at the same answer.
Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.
Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.
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7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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