Answer:
Your friends data
Step-by-step explanation:
The rule of statistics is: the more exact the data, the better.
Here it seems that you got less precise data, as you can see. This also causes the possibility of mistakes.
This is because when you have data that is more exact, you get a better estimation for mean, median, etc. This can help make patterns in your data.
This means that your friend had better data than you.
Hope this helped!
Using the slope formula, find the slope of the line through the given points (3,3) and (1,1)
Answer:
1
Step-by-step explanation:
The slope formula is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] so when you plug in all of the numbers to where they are supposed to be you would get [tex]\frac{1-3}{1-3}[/tex] which is [tex]\frac{-2}{-2}[/tex] which can be simplified to [tex]\frac{1}{1}[/tex] which is just 1 and that would be our answer
PLEASE HELP!! Stuart invested $800 in a computer and now makes $5 a page typing research
papers. Let x represent the number of pages Stuart has typed, and let y
represent his profit.
a. Write an equation for y in terms of x.
Answer:
y = 5x - 800
Step-by-step explanation:
If x represents the number of pages typed, 5x will represent how much money he earns from typing them, since he gets $5 per page.
Then, 800 needs to be subtracted from this because he spent $800 on the computer.
So, the equation will be y = 5x - 800 to represent his profit.
b) If a, b, c are three rational numbers where a =
a = 3
3,6 = and c =
olů
Verify: a + (b + c) = (a + b) + C
Step-by-step explanation:
a =
a = 3
3,6 = and c =
olů
what is this please write this clearly
Find the sum : 1/2( x+7) = 32
Answer:
x=52
I think it is the answer
PLZ HELP ME PLEASEEEEE ASAP THIS IS SIGN LANGUAGE HELP I GIVE HECKA POINTS 1: Signs made too close to another person's face can be offensive. True False 2: When a joke is interpreted, it is acceptable for the interpreter to smile. True False 3: Total Communication can include elements of ASL and SEE. True False
Answer:
#1 true
#2 false
false
Step-by-step explanation:
The points (-4,-3) and (2,4) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
Answer: sqrt(85)/2
Step-by-step explanation:
Remember that the length of the diameter is twice that of the radius.
The first step would be finding the distance between the two points using the distance formula[tex]\sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2}[/tex].
The distance of diameter = [tex]\sqrt{85}[/tex]
The distance of the radius would be half that, so [tex]\frac{\sqrt{85}}{2}[/tex]
Please help!!!
A pairs of fair die is tossed. What is the probability of not setting a sum 13?
A. 0
B. 1
C. 2
D. 0.5
Answer:
Answer is A the highest number we can get is 12 so its potion A
The both highest numbers are 6 and, 6 6 +6 is 12 so its 0
is it possible to have a regular polygon whose each exterior angle measure 57 degree justify your answer
Answer:
NoStep-by-step explanation:
The sum of all exterior angles of any regular polygon is 360°.
= [tex]\frac{360}{57} \\\\= 120/19\\or\:6.315[/tex]
The number of sides should be a natural number not in fraction or decimal
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, key
Answer:
Explained below.
Step-by-step explanation:
The complete question is:
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.
(a) What are the individuals in this data set?
(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?
Solution:
(a)
The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.
In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.
So, the "individuals" in this data set are the monkeys.
(b)
Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.
Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.
In this case the variables are:
Number of bananas the monkeys ate - Quantitative variable
Gender - Categorical variable
Age (in years) - Quantitative variable
Specific breed of monkey - Categorical variable
The individuals in the data set refers to each monkey used in the experiment.
The variables in the experiment include :
Number of bananas = QUANTITATIVE (DISCRETE) gender = QUALITATIVE (MALE OR FEMALE) Age (in years) = QUANTITATIVE (discrete) and the specific breed of monkey = QUALITATIVE.Individuals used in a research refers to each species or subject used in the research finding.
QUALITATIVE or categorical variables are used as labels rather than numerical values. They include gender, colors , and so on. QUANTITATIVE variables involves numerical variables upon which basic mathematical operations may be performed.DISCRETE variables involves variables whose values or numbers can be obtained by counting.while
CONTINUOUS variables include variable measure are obtained by measurement such as height and weight.
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Complete question :
Mr. Molesky observes a group of monkeys for 24 hours to learn about
their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.
(a) What are the individuals in this data set?
(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative(continuous), or quantitative(discrete), make sure tell me which one is continuous and which one is discrete
Find the number of ways of arranging the letters of the word MOSHOESHOE, if the letter M must always begin a word
Answer:
7560.
Step-by-step explanation:
There are 9 letters after the M consisting of 3 O's, 2 H's, 2 H's and 2 E's.
So the number of ways is 9! / (3!*2!*2!*2!)
= 362880 / (6*2*2*2)
= 362880 / 48
= 7560.
The number of ways the word MOSHOESHOE can be rearranged, if the letter M must always begin a word is 75,600 ways
Given:
MOSHOESHOE
n = total number of letters = 10
a = number of times O appears = 3
b = number of times S appears = 2
c = number of times E appears = 2
d = number of times H appears = 2
number of ways the word can be rearranged if M must always begin a word
= n! / (a! b! c! d!)
= 10! / (3!, 2!, 2!, 2!)
= (10 × 9 × 8 × 7 × 6 × 5 × 4× 3 × 2 × 1) / (3 × 2 × 1, 2 × 1, 2 × 1, 2 × 1)
= 3,628,800 / (6 × 2 × 2 × 2)
= 3,628,800 / 48
= 75,600 ways
Therefore, the number of ways the word can be rearranged if M must always begin a word is 75,600 ways
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Exponential functions help please
Answer:
8400/2 then simplify
Step-by-step explanation:
.
Given g(x)=-x-4, find g(5)
The required g(5) is -9.
Function g(x) = -x-4. g(5) to determine.
The function is a type of mathematical sting that contains an algebraic link.
Here. g(x) = -x-4
Put 5 in place of x.
g(5) = -5-4
g(5) = -9
Thus, g(5) is -9
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Round this whole number Round 5,165 to the nearest ten.
Answer:
5,170
Step-by-step explanation:use rounding number calculater for extra help
how do i write numbers in standard form?
Answer:
For Example say a number is in scientific form, 4.10x10^5, to write this in standard form you can either do 10^5=100,000x4.10=410,000, or you could simply take 4.10 and move the decimal place 5 places to the right, and you would get the same answer, 410,000.
Step-by-step explanation:
Jeremy is painting his room over the
summer. Here are 4 different wall
colors and 3 different trim colors.
How many different ways can he
paint his room?
Answer:
Jeremy has 12 ways of painting his room.
He has 4 different wall colors and 3 different trim colors, so, if we want to know how many ways does he have to paint his room, we only need to multiply:
4 * 3 = 12
That's why he has 12 ways of painting his room. That's because for each of the 4 different wall colors, there are 3 trim colors he can use.
Answer: 12 different ways
Step-by-step explanation:
The question is asking for a combination of a wall color and a trim color because his room required one wall color and one trim color.
In this case, combination will be the number of first kind multiplies with the second kind. This is similar to sketching a tree diagram but instead, we will be using numerical method which will be quicker.
If you are still confused, I will provide some examples.
You have 5 kind of bread and 4 kind of toppings, there will be 20 different ways to buy a pair (5×4=20)You have 5 different shoes, 3 different laces, and 2 different tops, there will be 30 different ways to match (5×3×2=60)This also applies to your question. You have 4 different wall colors and 3 different trim colors.
4×3=12
You have 12 different ways to paint the room
Hope this helps!! :)
Please let me know if you have any question
What is the common ratio of the geometric sequence below?
18, -6, 2. - ...
Answer:
C
Step-by-step explanation:
The solution is Option C
The common ratio of the geometric sequence is -1/3
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
Let the geometric sequence be represented by A
Now , the value of A is
A = 18 , -6 , 2 , -2/3
Let the first term of the geometric sequence be = a₁
The value of a₁ = 18
Let the second term of the geometric sequence be = a₂
The value of a₂ = -6
And , the common ratio r is given by the formula
Common ratio r = second term / first term
Substituting the values in the equation , we get
Common ratio r = -6/18
On simplifying the equation , we get
Common ratio r = -1/3
Therefore , the ratio is -1/3
Hence , The common ratio of the geometric sequence is -1/3
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A plant is 8 cm tall, and grows 3 cm taller each week. How tall will the plant be after 25
weeks?
Answer:
83 cm
Step-by-step explanation:
let's make an equation for this situation. The plant starts at 8 cm and grows 3 cm every week. If x represents time in weeks and y represents height in cm, then:
y = 8+3x
filling in 25 for x, we find that:
y = 8+75
y = 83 cm
Answer:83
Step-by-step explanation:
25 x 3 = 75
75 + 8 = 83
What is the distance between the points (5, 1) and (-3, -5)?
2
2
10
4
Step-by-step explanation:
Hey, there!!
The given points are A(5,1) and B(-3,-5)
We have, distance formulae for AB is,
[tex]ab = \sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
[tex]ab = \sqrt{( { - 3 - 5)}^{2} + ( { - 5 - 1)}^{2} } [/tex]
[tex]ab = \sqrt{( { - 8)}^{2} + ( { - 6)}^{2} } [/tex]
[tex]ab = \sqrt{64 + 36} [/tex]
[tex]ab = \sqrt{100} [/tex]
Therefore, the distance between AB points is 10 units.
Hope it helps...
This oblique triangular prism has a volume of 63 cm.
What is the area of the base of the prism?
Answer:
its 10.5 cm
Step-by-step explanation:
its what I got off of khan
The base area of the oblique triangular prism is 10.5 square cm
How to determine the base area?The volume is given as:
Volume = 63 cubic cm
The height of the prism is:
Height = 6 cm
The base area of the prism is then calculated using:
Area = Volume/Height
So, we have:
Area = 63/6
Evaluate
Area = 10.5
Hence, the base area of the triangular prism is 10.5 square cm
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A map has a scale of 1:100,000 what is the map distance between two cities if the real distance was 20km
Step-by-step explanation:
I guess you mean 1cm:100000cm
Hence, for every 1 cm on the map 100000 cm is covered on the land.
Take the distance on the map for 20 km be x
Hence, 1:100000:: x: 2000000 cm
In order to solve this ratio, you must multiply the extremes and the moderates (nears).
Hence, 2000000×1=100000×x [1km=100000 cm]
Hence, 2000000= 100000x
Hence, x=2000000/100000 cm
Hence, x=20 cm
Hence, 20 cm on the map
What subset of real numbers does 18.5 inches belong to?
Answer:
The correct answer is rational.
Step-by-step explanation:
The diameter of the tree belongs to the subset of rational numbers.
Natural numbers are the numbers 1, 2, 3 4, etc. Since 18.5 has a fractional/decimal component, it is not considered a natural number. Whole numbers include all of the natural numbers, as well as 0; therefore, 18.5 is not a whole number either.
Integers include all whole numbers as well as negative numbers, but the integer category still does not encompass numbers with a decimal component. For this reason, 18.5 is not an integer either.
Therefore, the only subset of numbers that 18.5 can fall under is rational numbers. A rational number is a number that can be represented as a fraction. 18.5 can be represented as 37/2 and is thus a rational number.
You can also refer to the infographic given in the question for further clarity on which subsets of numbers are more inclusive than others.
Hope this helps!
Given that \tan\theta =\frac{12}{35}tanθ= 35 12 and that angle \thetaθ terminates in quadrant \text{III}III, then what is the value of \cos\thetacosθ?
Answer:
[tex]cos\theta = -\frac{12}{37}[/tex]
Step-by-step explanation:
Given
[tex]tan\theta = \frac{35}{12}[/tex]
Quadrant: 3rd
Required
Determine [tex]cos\theta[/tex]
This question will be solved using the Pythagoras theorem
[tex]Hyp^2 = Adj^2 + Opp^2[/tex]
The tangent of an angle is calculated as thus;
[tex]tan\theta = \frac{Opp}{Adj}[/tex]
Comparing
[tex]tan\theta = \frac{35}{12}[/tex] to [tex]tan\theta = \frac{Opp}{Adj}[/tex]
We can conclude that
[tex]Opp = 35[/tex] [tex]Adj = 12[/tex]
Substitute these values in the Pythagoras formula
[tex]Hyp^2 = 35^2 + 12^2[/tex]
[tex]Hyp^2 = 1225 + 144[/tex]
[tex]Hyp^2 = 1369[/tex]
Square root of both sides
[tex]Hyp = \sqrt{1369}[/tex]
[tex]Hyp = 37[/tex]
SInce [tex]\theta[/tex] is in the 3rd quadrant, then
[tex]cos\theta = -\frac{Adj}{Hyp}[/tex]
Where [tex]Adj = 12[/tex] and [tex]Hyp = 37[/tex]
[tex]cos\theta = -\frac{12}{37}[/tex]
PLZ ANSWER ASAP!!!!!!!
Answer:
u=(9-6w)÷-2
Step-by-step explanation:
Answer:
u = 3w - 4.5
Step-by-step explanation:
Step 1: -2u + 6w = 9 - Solve for u by isolating the variable u.
Step 2: Subtract 6w both sides
-2u = 9 - 6w
Step 3: Divide by -2 both sides
u = ( 9 - 6w ) / ( -2 )
u = 3w - 4.5
Have a good day!! :)
round three significant figures 12.3456
Answer:
12.3
Step-by-step explanation:
Round it where you have 3 numbers that are not 0.
12.3456
round to the hundredths place
12.34 (round to 4)
12.3 (3 sigfigs)
Answer:
12.4
Step-by-step explanation:
12.3456
first you would round the 5 to a 6, the round the 4 to a 5, because the six is greater than five, than you would change the 3 to a 4, because the four that was changed to a five now is big enough to change the number.
What would be the constant in this problem? 20c+5w+95.50
Answer:
95.50
Step-by-step explanation:
a constant is a number not attached to a variable
in this case the variables are c and w
95.50 is the only one without a variable
1. A man is paid $ 600 per week after a pay rise of 20 %. What was he paid before?
Answer:
y. 100
------ = -------
600. 120
120y= 60000
y = 60000÷ 120
= $500
in smithville. there were 230 teachers in 1990 and 324 teachers in 2000. find the percent of increase in the number of teachers in the smithville during this time period. Round to the nearest tenth of a percent.
Answer:
40.8696% increase (40.9%)
plz, help ASAP!!! WILL MARK YOU BRAINLIEST IF UR ANSWER IS CORRECT QUESTION #5
Answer:
D.
Step-by-step explanation:
The domain remains the same [a, b) and the range is [mc + n,md + n).
-4c^2+7, c=7a^2 solve for c
The answer is explained in the photo I have linked.
Can someone please help me with this question? I REALLY need help.
What is the value of [tex]$ \sum_{n=1}^\infty (\tan^{-1}\sqrt{n}-\tan^{-1}\sqrt{n+1})$[/tex]? The answer should be in radians.
Answer:
-45
Step-by-step explanation:
The question is asking for the sum of the sequence. Therefore, there is no such thing as a "radians" answer.
When you evaluate the sum, you should get -45 as your answer. To find so, you simply plug in 1 as n and other numbers then add the result.
The sum telescopes. Consider the N-th partial sum of the series,
[tex]S_N=\displaystyle\sum_{n=1}^N\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)[/tex]
[tex]S_N=\bigg(\tan^{-1}\sqrt1-\tan^{-1}\sqrt2\bigg)+\bigg(\tan^{-1}\sqrt2-\tan^{-1}\sqrt3\bigg)+\bigg(\tan^{-1}\sqrt3-\tan^{-1}\sqrt4\bigg)+\cdots+\bigg(\tan^{-1}\sqrt N-\tan^{-1}\sqrt{N+1}\bigg)[/tex]
Notice how [tex]\tan^{-1}\sqrt2[/tex] is added, then immediately subtracted. The same goes for [tex]\tan^{-1}\sqrt3[/tex], then [tex]\tan^{-1}\sqrt4[/tex], and so on, up to [tex]\tan^{-1}\sqrt N[/tex]. This leaves us with
[tex]S_N=\tan^{-1}\sqrt1-\tan^{-1}\sqrt{N+1}[/tex]
The value of the given sum is obtained as [tex]N\to\infty[/tex]. We get
[tex]\displaystyle\sum_{n=1}^\infty\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)=\lim_{N\to\infty}S_N=\tan^{-1}1-\lim_{N\to\infty}\tan^{-1}\sqrt{N+1}[/tex]
To compute the limit, recall that [tex]\tan^{-1}x[/tex] has a range of [tex]\left(-\frac\pi2,\frac\pi2\right)[/tex]; in particular, [tex]\tan^{-1}x\to\frac\pi2[/tex] as [tex]x\to\infty[/tex]. So we have
[tex]\displaystyle\sum_{n=1}^\infty\bigg(\tan^{-1}\sqrt n-\tan^{-1}\sqrt{n+1}\bigg)=\frac\pi4-\frac\pi2=\boxed{-\frac\pi4}[/tex]