PEASE HELP DUE IN 5 MINUTES I WILL MARK YOU BRAINLIST
Find the area of a regular hexagon with side length of 3 ft. Round your answer to the nearest tenth
7.8 ft2
11.7 ft2
23.4 ft2
40.5 ft2
Answers
23.4 ft2
Step-by-step explanation:
jvuctctctcrxrxrxrxrxr
Related Questions
Construct an equilateral triangle inscribed in this circle:Construct a square inscribed in this circle:Construct a regular hexagon inscribed in this circle:
Answers
Answer:
Explanation:
1. This is an equilateral triangle inscribed in a circle.
2. A square inscribed in a circle is:
3. A regular hexagon inscribed in a circle.
A portfolio manager generates a 5% return in Year 1, a 12% return in Year 2, a negative 6% return in Year 3, and a return of 2% (nonannualized) in the first quarter in Year 4. The annualized return for the entire period is the closest to __________.
Answers
The annualized return for the entire period is the closest to 10.5%.
To calculate the annualized return for the entire period, we need to consider the returns for each year and the return in the first quarter of Year 4. Since the returns are given for each period, we can use the geometric mean to calculate the annualized return.
The formula for calculating the geometric mean return is:
Geometric Mean Return = [(1 + R1) * (1 + R2) * (1 + R3) * (1 + R4)]^(1/n) - 1
Where R1, R2, R3, and R4 are the returns for each respective period, and n is the number of periods.
Given the returns:
Year 1 return: 5% or 0.05
Year 2 return: 12% or 0.12
Year 3 return: -6% or -0.06
First quarter of Year 4 return: 2% or 0.02
Using the formula, we can calculate the annualized return:
Annualized Return = [(1 + 0.05) * (1 + 0.12) * (1 - 0.06) * (1 + 0.02)]^(1/3) - 1
Annualized Return = (1.05 * 1.12 * 0.94 * 1.02)^(1/3) - 1
Annualized Return = 1.121485^(1/3) - 1
Annualized Return ≈ 0.105 or 10.5%
Therefore, the annualized return for the entire period is approximately 10.5%.
For more question on return visit:
https://brainly.com/question/30761579
#SPJ8
multiply [4, 0, -1, 2, -3, -1]x[0, 1, -3, 1]
Please Help...
Answers
Multiplication of the given matrix is not possible by definition of matrix multiplication.
Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Expression for multiply,
⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]
Since, We can see that;
First matrix have order 1 x 6
And, Second matrix have order 1 x 4
We know that;
Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.
Hence, By given matrices we get;
Number of column in first matrix (6) ≠ number of rows in second matrix (1)
So, Multiplication of the given matrix is not possible by definition of matrix multiplication.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ1
How do I solve it? URGANT!!!
Answers
Answer:
Step-by-step explanation:
KL = JK, so ΔJKL is an isocesles triangle, then m∠J = m∠L
KL is a tangent line, so ∠JKL = 90°,
so m∠J = 45°
The table shows the distance a small
motor scooter can travel using one gallon
of gasoline. Complete the table to find the
number of miles the scooter can travel for
other amounts of gasoline.
Answers
Answer:
0.1 gallons = 11.8 miles
10 gallons - 1,180 miles
Step-by-step explanation:
Which list shows the numbers in order from least to greatest?
3ş, 37, 3.65
Answers
Answer:3,3.65,37
Step-by-step explanation:
HELP ASAP PLEASE!!!!
Answers
Answers:
c = 7d = 5=========================================================
Explanation:
For equation A, I'll transform the right hand side into a similar form as the left side. Throughout the steps below, the left hand side stays the same.
\(\sqrt{448x^c} = 8x^3\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{(8x^3)^2}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{3*2}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}}\sqrt{7x}\\\\\sqrt{448x^c} = \sqrt{64x^{6}*7x}\\\\\sqrt{448x^c} = \sqrt{64*7x^{6+1}}\\\\\sqrt{448x^c} = \sqrt{448x^{7}}\\\\\)
Therefore, c = 7
Notice that 7/2 = 3 remainder 1. The quotient 3 is the exponent for the term outside the root for \(8x^3\sqrt{7x}\) while the remainder 1 is the exponent for the x term inside the root.
---------------------------------------
We do the same idea for equation B.
\(\sqrt[3]{576x^{d}} = 4x\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{(4x)^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3}\sqrt[3]{9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64x^3*9x^{2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{64*9x^{3+2}}\\\\\sqrt[3]{576x^{d}} = \sqrt[3]{576x^{5}}\\\\\)
This must mean d = 5
Note: 5/3 = 1 remainder 2, which means \(\sqrt[3]{x^5} = x^1\sqrt[3]{x^2} = x\sqrt[3]{x^2}\)
help!!!!!!!!!!!!!!!!!!!!!!!!
Answers
''The planets farthest from the Sun have the coolest surface temperatures" is the accurate statement.
Which statement accurately describes the relationship between the surface temperature of the planets and their distances from the Sun?The amount of energy received from the Sun decreases with increasing distance, so the planets farthest from the Sun receive the least energy and therefore have the coolest surface temperatures.
This can be seen in our solar system, where the outer planets (Mars, Jupiter, Saturn, Uranus, and Neptune) are colder than the inner planets(Mercury, Venus, and Earth)
Therefore, the statement "The planets farthest from the Sun have the coolest surface temperatures" is accurate.
Learn more about planets on:
https://brainly.com/question/18496962
#SPJ1
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answers
Answer:
(A)
Step-by-step explanation:
The survey follows of women's height a normal distribution.
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
The new height requirements would be 57.7 to 68.6 inches
The given parameters are:
\mathbf{\mu = 63.5}μ=63.5 --- mean
\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation
(a) Percentage of women between 58 and 80 inches
This means that: x = 58 and x = 80
When x = 58, the z-score is:
\mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
This gives
\mathbf{z_1= \frac{58 - 63.5}{2.5}}z
1
=
2.5
58−63.5
\mathbf{z_1= \frac{-5.5}{2.5}}z
1
=
2.5
−5.5
\mathbf{z_1= -2.2}z
1
=−2.2
When x = 80, the z-score is:
\mathbf{z_2= \frac{80 - 63.5}{2.5}}z
2
=
2.5
80−63.5
\mathbf{z_2= \frac{16.5}{2.5}}z
2
=
2.5
16.5
\mathbf{z_2= 6.6}z
2
=6.6
So, the percentage of women is:
\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z
2
)−P(z<z
1
)
Substitute known values
\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)
Using the p-value table, we have:
\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034
\mathbf{p = 0.9860948}p=0.9860948
Express as percentage
\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%
\mathbf{p = 98.60948\%}p=98.60948%
Approximate
\mathbf{p = 98.61\%}p=98.61%
This means that:
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.
(b) Change of requirement
Shortest = 1%
Tallest = 2%
If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).
So, we have:
Shortest = 1% to 98%
This means that:
The p values are: 1% to 98%
Using the z-score table
When p = 1%, z = -2.32635
When p = 98%, z = 2.05375
Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
Substitute \mathbf{z = -2.32635}z=−2.32635
\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=
2.5
x−63.5
Multiply through by 2.5
\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5
Make x the subject
\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5
\mathbf{x = 57.684125}x=57.684125
Approximate
\mathbf{x = 57.7}x=57.7
Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=
2.5
x−63.5
Multiply through by 2.5
\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5
Make x the subject
\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5
\mathbf{x= 68.634375}x=68.634375
Approximate
\mathbf{x= 68.6}x=68.6
Hence, the new height requirements would be 57.7 to 68.6 inches
What percent of 125 is 375?
A) 33.33%
B) 250%
C) 300%
D) 468.75%
Show work
Answers
Answer:
To find the percent of 125 that 375 is, we need to divide 375 by 125 and then multiply by 100.
375 / 125 = 3
So 375 is 3 times 125. Multiplying 3 by 100, we get:
3 * 100 = 300%
So the correct answer is C) 300%.
Succes!
Answer:
C) 300%
Step-by-step explanation:
Percent of 125 means the value of x/125.
Where x is the value 375.
375/125 = 3
3 * 1 =
3 * 100% = 300%
It can be mistaken as 33.33% since 125 is 33.33% of 375.
^^ This question is asking 125 is what percent of 375.
But remember, the question, 'What percent of 125 is 375?', is asking 375 is what percent of 125, not the other way around.
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1.
On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Which graph represents g(x)?
On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).
On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10).
On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).
Answers
it goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10)
What type of angle is a 9 degree angle?
Answers
Answer:
An acute angle
Is there any answer choices??
Calculate the circumference of a circle with a radius of 8 inches.
Answers
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
write the following as unit rate 1200 words to 40 minutes
Answers
Answer:
30 Units
Step-by-step explanation:
1200 units ÷ 40
40 units ÷ 40
=
30 units
1 unit
=
30 units
unit
= 30 units per unit
Name the two congruent triangles
Answers
\( \boxed{ \blue{Answers + Explain}} \)
the two triangles are congruent. Because it has sides that match and are the same length.
.
the corresponding side is:
\( \rm AC \cong CE \)\( \rm CD \cong BC \)\( \rm AD \cong BE \).
the corresponding angle is:
\( \rm \angel{CAD} = \angel{BEC} \)\( \rm \angel{ADC} = \angel{EBC} \)\( \rm \angel{ACD} = \angel{BCE} \)Which statement defines the term markup?
A.
the extra amount added to the selling price to arrive at the cost price
B.
the extra amount added to the cost price to arrive at the selling price
C.
the extra amount added to the marginal cost to arrive at the selling price
Answers
Answer:
Step-by-step explanation:
Select the correct answer.
Which statement defines the term markup?
A.
the extra amount added to the selling price to arrive at the cost price
B.
the extra amount added to the cost price to arrive at the selling price
C.
the extra amount added to the marginal cost to arrive at the selling price
A would be the correct answer
How to do word problems
Answers
Answer:
Read the problem out loud to yourself.
Draw a Picture.
Think “What do I need to find?”
List what is given.
Find the key words.
Solve.
Check your work.
Step-by-step explanation: Hopefully this helped!
factorise x³-4x²+x+6
Answers
The binomial factors of x³- 4x²+x+6 are (x+2), (x+3), and (x-1).
Using the splitting and grouping the terms:
x³ + 4x² + x - 6
= x³ + 2x² + 2x² + x - 6 [Splitting 4x² = 2x² + 2x²]
= (x³ + 2x²) + (2x² + x - 6)
= x² (x + 2) + (2x² + 4x - 3x - 6)
= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]
= x² (x + 2) + (x + 2) (2x - 3)
= (x + 2) ( x² + 2x - 3)
= (x + 2) ( x² + 3x - x - 3)
= (x + 2) [x (x + 3) - 1 (x + 3)]
= (x + 2) (x + 3) (x - 1)
Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)
To learn more about factorise here,
https://brainly.com/question/10718512
https://brainly.com/question/24734894
Katia placed the rest of the stickers on pages 2 and 3 of her scrapbook, as
shown below
Complete the expression below to represent the total number of stickers on
pages 2 and3
Answers
The expression can be completed as 4 × (4 + 3)
How to complete the expression?A mathematical expression is a combination of numbers, symbols, and operations that represent a mathematical relationship or calculation.
Mathematical expressions can be used to represent a wide range of concepts, including algebraic equations, geometric formulas, and statistical models.
Looking at the pages:
On page 2, we have 4 stickers per row while on page 3 we have 3 stickers per row. Also, both page 2 and page 3 have 4 rows each. Thus, we can complete the expression as follows:
4 × (4 + 3)
Learn more about mathematical expressions on:
https://brainly.com/question/4344214
#SPJ1
For the function f(x)=x+4−−−−−√
, the average rate of change to the nearest hundredth over the interval 2 ≤ x ≤ 6 is
Answers
The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.
To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.
The change in the function between x = 2 and x = 6 is:
f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6
The change in the input variable between x = 2 and x = 6 is:
6 - 2 = 4
So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:
(√10 - √6) / 4
To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:
(√10 - √6) / 4 ≈ 0.29
For such more questions on function
https://brainly.com/question/11624077
#SPJ8
Determine the slope.(-5,-4) and (7,-8)
Answers
Answer: the slope is -3
Step-by-step explanation:
(Pls see pic for the work)
You are deciding between two different health care plans offered by your employer, Please make your choios based off of your individual health and financial situation. While justifying the plan you have choosen be sure to demonstrats your knowledge on the vocabulary terms like premiums, co-payments, deductibles, HMO, PPO, and coverage.
HMO Plan:
Coverage: 100%/0%
Deductible: $500
Premium: $450/month (70% paid by employer)
Co-pay: $25
PPO Plan:
Coverage: 80%/20%
Deductible: $1,000
Premium: $250/month (75% paid by employs)
Co-pay: $25
Answers
We can see that for one who doesn't fall ill frequently, the PPO Plan will be the best. This is as a result of its lower premium and broader network of healthcare providers.
What is PPO Plan?A PPO (Preferred Provider Organization) plan is known to be a type of health insurance plan which allows individuals to actually choose their healthcare providers. It allows them to choose from a network of preferred providers who have agreed to provide services at a discounted rate.
We can see here that in the PPO Plan, the PPO (Preferred Provider Organization) plan actually has a lower premium, but the coverage is only 80%, and you need to pay 20% of the cost-sharing or co-insurance.
Also, the PPO plan has a higher deductible of $1,000, which means that the insurance coverage starts later.
Learn more about PPO Plan on https://brainly.com/question/29616568
#SPJ1
PLS HELP
Which pair of statement is true
15>-9 and |-9|>|15|
-15>-9 and |-15| > |-9|
-15< 9 and |-15|< |9|
-15<-9 and |-9|<|-15|
Answers
Answer:
-15<9 and |-15|<|9|
is the correct answer
the length of a rectangle is 7 inches greater than three times its width write an expression to represent its area
Answers
Step-by-step explanation:
Let the length be L.
Let the breath be B.
So, we are given that
length of a rectangle is 7 inches greater than three times its width .
So, according to the Question,
L = 7+ 3B.
So, we know that:-
Area = Length× Breadth.
So, it will be
B × (7 + 3B) = Area.
So,
3B² + 7 is an expression to represent its area.
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Answers
If the sum of the voltage is 4.5V, it is possible that different cells have different voltages. For example, three cells with voltages 1V, 1.5V, and 2V could be connected together side by side to give a total voltage of 4.5V.
To find the voltage of each cell, we would need to know the voltage across each cell or the voltage of the other cells connected in the circuit. Then we could use the fact that the sum of the voltages across all cells in the circuit is equal to the total voltage of the circuit to solve for the voltage of each cell.
Find the measure of all the angles and all the arcs in the figure below.Please
Answers
Answer:
• mAD=60°
,• mBF=60°
,• mCF=60°
,• m∠COD=120°
,• m∠B=90°
,• m∠C=30°
,• m∠D=60°
,• m∠DAB=120°
Explanation:
The line AC is the diameter of the circle.
\(\begin{gathered} m\widehat{AC}=180\degree \\ m\widehat{AC}=m\widehat{AD}+m\widehat{DC} \\ 180\degree=m\widehat{AD}+120\degree \\ m\widehat{AD}=180\degree-120\degree \\ m\widehat{AD}=60\degree \end{gathered}\)Similarly, line DF is a diameter, thus:
\(\begin{gathered} m\widehat{DF}=180\degree \\ m\widehat{DF}=m\widehat{AD}+m\widehat{AB}+m\widehat{BF} \\ 180\degree=60\degree+60\degree+m\widehat{BF} \\ m\widehat{BF}=180\degree-120\degree \\ m\widehat{BF}=60\degree \end{gathered}\)In like manner, using line DF:
\(\begin{gathered} m\widehat{DF}=180\degree \\ m\widehat{DF}=m\widehat{DC}+m\widehat{CF} \\ 180\degree=120\degree+m\widehat{CF} \\ m\widehat{CF}=180\degree-120\degree \\ m\widehat{CF}=60\degree \end{gathered}\)Angle COD is the central angle subtended by arc CD at the centre.
\(\begin{gathered} m\angle\text{COD}=m\widehat{CD} \\ m\angle\text{COD}=120\degree \end{gathered}\)Angle B is the angle subtended by the diameter AC at the circumference of the circle. The angle in a semicircle is 90 degrees, therefore:
\(m\angle B=90\degree\)Angle C is the angle subtended by arc AB at the circumference.
\(\begin{gathered} m\widehat{AB}=2\times m\angle C \\ 60\degree=2\times m\angle C \\ m\angle C=\frac{60\degree}{2} \\ m\angle C=30\degree \end{gathered}\)Next, we find the measure of angle D.
In Triangle AOD,
\(\begin{gathered} m\angle O=\text{mAD}=60\degree \\ OD=OA(\text{radi}i) \\ \triangle\text{AOD is Isosceles} \\ \implies\angle O+2\angle D=180\degree \\ 60\degree+2m\angle D=180\degree \\ 2m\angle D=120\degree \\ m\angle D=60\degree \end{gathered}\)Finally, we find the measure of angle DAB.
\(\begin{gathered} m\angle\text{DAB}=m\angle\text{DAO}+m\angle\text{CAB} \\ =60\degree+60\degree \\ =120\degree \end{gathered}\)A person's heart beats 200 times in 3 minutes. How many times will it beat in an hour (remember...60 minutes in an hour) ?
Answers
200 times / 3 minutes = x times / 60 minutes
3x = 12000
x = 4000 times in an hour
A person's heart will beat 4000 times in an hour.
Hope this helps!! :)
Answer: 4000 beats per hour
Step-by-step explanation:
200 beats X 60 minutes
3 minutes 1 hour
The term 'minutes' cancel out therefore you are left with beats per hour
200 x 60 = 12000 = 4000 beats per hour
3 3
Find the quadrant where the angle −310∘, drawn in standard position, terminates.
Answers
Answer:
Step-by-step explanation:
The angle is in the fourth quadrant.
I have a Statistics question and need help with the plots????
Answers
Definition: Statistical Questions
A statistical question is a question that can be answered by gathering data and a question for which we expect to have variation in the data we collect.
Example 1: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: How tall are you?
Answer
To answer this question, we just have to record one height. There will be no variability in the data which means that it is not a statistical question.
Example 2: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: What are the heights of the players of your favorite soccer team?
Answer
The answer to this question would be a list of the heights of the players on the team. We expect that there will be variability in the data we collect because not everyone will be the same height. Therefore, this is a statistical question.
Example 3: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: In general, how tall are humans?
Answer
An answer to this question could be the mean of the heights of a sample of humans. Therefore, to answer it, we need to collect the data which tells us the heights of different people. Since people are of different heights, there will be variability in the data we collect. Hence, it is a statistical question.
In the above examples, we saw that a statistical question can be answered by a list of data like the heights of a group of people or by a single value that summarizes a set of varied data, like the mean of people’s heights. A question is not statistical if the data we collect to answer it is a single value.
Note that the data collected to answer statistical questions does not have to be numerical. There are two types of data we could collect: numerical and categorical.
Definition: Numerical and Categorical Data
In a numerical data set, all of the data values are numbers. For example, data sets summarizing ages, weights, or heights contain numerical data.
In a categorical data set, the data can be grouped into categories. For example, a data set recording the eye colors of a group of people contains categorical data and each eye color can be thought of as a category.
The first three examples we considered contained questions that could be answered by numerical data. These last two example shows questions that would be answered by categorical data.
Example 4: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: What is your favorite subject?
Answer
The answer to this question is a single subject; we do not have to collect data with variability to answer the question. Therefore, it is not a statistical question.
Example 5: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: How do students travel to school?
Answer
To answer this question, we would have to collect data about how students travel to school: by car, bike, or bus for example. Since we expect the students’ answers to vary, this is an example of a statistical question.
Write an expression equivalent to 4x-2x+4-1.
Answers
Answer:
2x+3 i think