A researcher decides to set the significance level to 0.10. If the null hypothesis is true, what is the probability of a Type I error
Answers
Answer:
the probability of a Type I error is 0.10
Step-by-step explanation:
Given the data in the question;
significance level ∝ = 0.10
Null H₀ hypothesis is true;
the probability of a Type I error = ?
we know that; a type 1 error is the error of rejecting a Null hypothesis when in reality, it is true. That is false positive.
Hence, our type 1 error will be;
P(rejecting null | null true ) = significance level ∝ = 0.10
Therefore, the probability of a Type I error is 0.10
Related Questions
the following data represents the price(R) of 50 items purchaced by a shopper. price(R) 0.00<20.00, 20.00<40.00, 40.00<60.00, 60.00<80.00, 80.00<100.00. frequently 6, 9, 18, 13, 4. Determine with calculations:
a) mean price
b)median price
c)modal price
d)standard deviation
Answers
The correct answer is The mean price is 50.
The median price is 41.111.
The modal price is 52.857.
The standard deviation price is 22.271.
The data table represents the prices (in R) of 50 items purchased by a shopper is,
Price Frequency
0<20 6
20<40 0
40<60 18
60<80 13
80<100 4
Explanation:
The mean of the data is the average of the given values.
The mean of the data is calculated as,
Price frequency (f) Mid point (xi) f.xi
0-20 6 10 60
20-40 9 30 270
40-60 18 50 900
60-80 13 70 910
80-100 4 90 360
Total 50 250 2500
Mean = ∑fx1/N
Mean = 2500/50
Mean = 50
Price frequency (f) cf
0-20 6 6
20-40 9 15
40-60 18 33
60-80 13 46
80-100 4 50
Total 50 150
The median class is 40 -60 as cf ≥ N/2
which is 33 ≥ 25
medain = 40 + |25-15|/18 ×20
medain = 40 + 200/18
median = 41.111
Mode = lower limit + f1-f0/2f1-f0-f2 × height
Here, f1 is the frequency of the modal class = 18.
f0 is the frequency of the preceding modal class = 9.
f2 is t/he frequency of the succeeding modal class = 13.
Mode = 40+ 18-9/2(18)-9-13
Mode = 52.857
Hence, the modal price is 52.857.
Price frequency (f) Mid point (xi) f.(xi)^2
0-20 6 10 600
20-40 9 30 8100
40-60 18 50 45000
60-80 13 70 63700
80-100 4 90 32400
Total 50 149800
The standard deviation of the data is calculated as,
SD = √(∑f(x1)^2)/N - (mean)^2
SD = √149800/50- (50)^2
SD = 22.271
Hence, the standard deviation of the data is 22.271.
To learn more about standard deviation refer the link:
https://brainly.com/question/12402189
#SPJ9
Use the drawing tools to form the correct answer on the graph.
A buoy marks a channel for boat navigation and bobs up and down with the motion of the wave
the buoy above sea level, in feet, after t seconds.
Answers
The function f(t) = 2cos (∏/4 t) lowest at (4,-2), (12,-2),(20,-2). The points are pl0ted in the graph.
What is a function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given function is f(t) = 2cos (∏/4 t).
f(t) will be lowest when cos (∏/4 t) is lowest.
The value of cosine lies between -1 to 1.
When cos (∏/4 t) = -1, f(t) has lowest value.
Solve the equation cos (∏/4 t) = -1
cos (∏/4 t) = -1
∏/4 t =cos ⁻¹ (-1)
∏/4 t = (2n + 1)∏
t = (2n + 1)4 where n is a whole number.
The value of the function is lowest at t = 4, 12, 20.
The lowest points are (4,-2), (12,-2),(20,-2) etc.
To learn more about lowest point, click on below link:
https://brainly.com/question/29255629
#SPJ1
Answer: (4, -2) (12,-2)
Step-by-step explanation:
When looking at a graph of a system of equations,
where can I find the solution(s) to the system?
Answers
Answer:
to solve a system of linear equations graphically we graph both equations in the same coordinate system, the solution to the system will be in the point where the 2 lines intersect.
Please solve this
∫ (log(1 + x ^ 2))/((x + 1) ^ 2) dx
Answers
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
We have,
To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.
Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:
∫ (log(1 + (u-1)²) / u²) du.
Expanding the numerator, we have:
∫ (log(1 + u² - 2u + 1) / u²) du
= ∫ (log(u² - 2u + 2) / u²) du.
Now, let's split the logarithm using the properties of logarithms:
∫ (log(u² - 2u + 2) - log(u²)) / u² du
= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.
We can simplify the second integral:
∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.
Using the power rule for integration, we can integrate both terms:
∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.
Now, let's focus on the second integral:
∫ (log(u) / u³) du.
This integral does not have a simple closed-form solution in terms of elementary functions.
It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).
Therefore,
The final result of the integral is:
∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,
where Li(x) is the logarithmic integral function and C is the constant of integration.
Learn more about integrations here:
https://brainly.com/question/30217024
#SPJ1
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
Answers
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
Learn more about inequality expression here: https://brainly.com/question/25275758
#SPJ1
look at the screenshot i need help i will give 50 points
Answers
Answer:
A. 6
B. 2
Step-by-step explanation:
28/4 = 6
4/2=2
A=7
B=2
EXPLANATION!
For A you are trying to find 2 numbers that multiply to 28, you already have the 4 so you just need to divide
28/4=7
Using that same reasoning you can do 4 divided by 2
4/2=2
M Question 2 Unit 7 Chapter 10 %
https://ezto.mheducation.com/ext/map/index.html?
Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Answers
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
Learn more about manufacturing efficiency here:
https://brainly.com/question/29645032
#SPJ1
Find the inverse function.
2x + 5
f(x) =
=
4
I need help urgently
Answers
Answer:
y=2x-5/2
Step-by-step explanation:
f(x)=(2x+5)/4
y=(2x+5)/4
-----------------
x=(2y+5)/4
2y+5=4*x
2y+5=4x
2y=4x-5
y=4/2x-5/2
y=2x-5/2
r3 – [q + (r – s)2 ]
Answers
The expression is simplified to r²( r + 1) - (q - s²)
What are algebraic expressions?Algebraic expressions are mathematical expressions made up of variables and constants.
They are mostly made up of algebraic operations such as addition, subtraction, division, multiplication, bracket, parenthesis, etc
Given the expression;
r3 – [q + (r – s)2 ]
With the knowledge of BODMAS, we expand the bracket
r³ - q + ( r + s²)
r³ - q + r² - s²
Now, let's collect like terms
r³ + r² - q - s²
(r³ + r²) - (q - s²)
Factor out r, we then have;
r²( r + 1) - (q - s²)
The expression is simplified to r²( r + 1) - (q - s²)
Thus, the expression is simplified to r²( r + 1) - (q - s²)
Learn more about algebraic expressions here:
https://brainly.com/question/4344214
#SPJ1
Question 4tiple Choice Worth 5 points)
(07.03 MC)
Circle A has center of (6, 7) and a radius of 4, and circle B has a center of (2, 4) and a radius of 16. What steps will help show that circle A is similar to circle B?
O Translate circle A using the rule (x+4y+3)
O Rotate circle A 45" about the center
O Dilate circle A by a scale factor of 4
O Reflect circle A about the origin
Answers
Answer:
Dilate circle A by a scale factor of 4.
Step-by-step explanation:
To show that two circles are similar, use transformations to map one to the other.
Step 1
Translate circle A so that its center is the same as circle B.
Center of circle A = (6, 7)Center of circle B = (2, 4)Translate circle A using the rule (x - 4, y - 3)
Step 2
Find the scale factor needed to dilate circle A to the size of circle B using the radii of the circles.
Radius of circle A = 4Radius of circle B = 16⇒ scale factor = 16 ÷ 4 = 4
Dilate circle A by a scale factor of 4.
Therefore, the only answer option that is correct is:
Dilate circle A by a scale factor of 4.
The graph represents a relation where x represents the independent variable and y represents the dependent variable.
A coordinate plane with points at negative 4 comma 4, negative 2 comma 0, 0 comma negative 3, 3 comma 1, and 5 comma negative 2.
What is the domain of the relation?
{−4, −3, −2, 0, 1, 3, 4, 5}
{−4, −2, 0, 3, 5}
{−3, −2, 0, 1, 4}
{0, 3, 4, 5}
Answers
The domain of the relation of the graph representing a relation where x represents the independent variable and y represents the dependent variable is {−4, −2, 0, 3, 5}.
How to determine domain relation?The domain of a relation is the set of all possible input values (independent variable) for which the relation is defined.
Looking at the given points, the x-coordinates are -4, -2, 0, 3, and 5. So, the possible input values are -4, -2, 0, 3, and 5.
Therefore, the domain of the relation is {−4, −2, 0, 3, 5}.
Hence, the correct option is {−4, −2, 0, 3, 5}.
Find out more on domain here: https://brainly.com/question/26098895
#SPJ1
Starting at its rightmost position, it takes 1 second for the pendulum of a grandfather clock to swing a
horizontal distance of 12 inches from right to left, and 1 second for the pendulum to swing back from left to
right. Write a cosine function, d = acos(bt), to model the distance, d, of the pendulum from the center (in
inches) as a function of time t (in seconds)
a=
Answers
Answer:
Step-by-step explanation:
amplitude of oscillation a = 12 / 2 = 6 inches.
time period T = 2 s
b = angular frequency = 2π / T
= 2π / 2
= π
so putting the values in the equation
d = a cos ( b t )
d = 6 cos ( π t )
Answer:
there are two more questions and the answers are 0.5 is the least positive amount of the pendulum and 4.243=y when x=4.25
Step-by-step explanation:
is this a rigid motion
Answers
The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.
The transformation for this problem has the rule defined as follows:
(x,y) -> (x + 2, -y).
The transformations are defined as follows:
x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.Neither transformation is a dilation, hence it is a rigid motion.
More can be learned about transformations in a figure at https://brainly.com/question/28687396
#SPJ1
Explain the difference between a greatest common factor and a least common multpule
Answers
Answer:
The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.
Have a good day
find the smallest number which when doubled will be exactly divisible by 4, 10, 15
Answers
60:4=15
60:10= 6
60:15= 4
Let the number be x
So 2x is divisible by 4,10,15
Divisible means find the LCM of those three numbers which is 60
2x=60
Divide both sides by 2
x=30
A ladder of length (2x+6) feet is positioned x feet from a wall. If the ladder reaches a height of (2x+4) feet along the wall. Find the longest leg.
A. 10ft
B. 24ft
C. 26ft
D. 13cm
Answers
Using the Pythagoras theorem, the longest leg has the length of 24 feet.
Given that,
A ladder of length (2x+6) feet is positioned x feet from a wall.
Height of the ladder = (2x + 6) feet
Distance of ladder from the wall = x feet
Height of the wall that the ladder is placed = (2x + 4) feet
These three lengths form s right triangle where (2x + 6) feet is the hypotenuse.
Longest leg is (2x + 4) feet
Using the Pythagoras theorem,
(2x + 6)² = (2x + 4)² + x²
4x² + 24x + 36 = 4x² + 16x + 16 + x²
4x² + 24x + 36 = 5x² + 16x + 16
x² - 8x - 20 = 0
(x - 10) (x + 2) = 0
x = 10 or x = -2
x = 2 is not possible.
So x = 10
Longest leg = 2x + 4 = 20 + 4 = 24 feet
Hence the length of the longest leg is 24 feet.
Learn more about Pythagoras theorem here :
https://brainly.com/question/343682
#SPJ1
A local bar and grill is having a quarter wing night during which chicken wings cost a quarter each.
As you leave home to join your friends there, all you grab is a $20 bill. Determine how many wings
you can purchase if you also want to buy a pitcher of your favorite beverage for $5 and ranch dip
for $1.50. There is also sales tax of 8.5%. You will leave a 20% tip on your bill after tax.
(enter number only)
Answers
Answer: Here is the calculation:
The cost of the wings is $0.25 per wing
The cost of the pitcher of beverage is $5
The cost of the ranch dip is $1.50
Sales tax is 8.5%, so you need to add 8.5/100 * (5+1.5) = 0.0825 to the cost of the beverage and dip.
The cost of the beverage and dip after tax is 5+1.5+0.0825 = 6.5825
The total cost of the wings, beverage, and dip before tip is 6.5825 + 20 = 26.5825
You need to leave a 20% tip, so you need to add 0.2*26.5825 =5.31650 to the total cost
The total cost of the wings, beverage, dip and tip is 26.5825+5.31650 = 31.899
So you have $20 and you want to spend $31.899 including tax and tip, you can purchase 20/0.25 = 80 chicken wings.
Step-by-step explanation:
HELP!!
Next, you will make a scatterplot. Name a point that will be on your scatter plot and describe what it represents.
Answers
A point on the scatter plot is defined as (19, 3), which means that an input of 19 is mapped to an output of 3.
What is the scatter plot?The scatter plot is built inserting all the points of the table in a graph, which are in the following input-output format:
(Input, Output).
One point on the scatter plot for this problem has the coordinates given as follows:
(19, 3).
Hence the meaning is that an input of 19 is mapped to an output of 3.
More can be learned about scatter plots at brainly.com/question/6592115
#SPJ1
Identify the initial amount a and the growth factor b in the exponential function. f(x) = 620 • 7.8x
Answers
Answer:
Initial amount (a)= 620
Growth factor (b)= 7.8
Step-by-step explanation:
620 is the initial amount and is multiplied by 7.8 x which is the growth factor.
what's 24959 + 5858494
Answers
Given the expression:
24959 + 5858494
Let's evaluate the expression.
Here, we are given an addition problem.
Addition can be said to be the process of two or more numbers together to get a new total.
To add both numbers, let's use the long addition method.
Applying the long addition method, the larger number is placed above the smaller number.
Thus, we have:
24959 + 5858494 = 5883453
ANSWER:
5883453
will mark brainleist pls help
Answers
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
Which term describes the relationship between L A and 2 B, if the m LA= 84º and m 2 B = 96º7
A
vertical
В.
adjacent
С
supplementary
D
complementary
Answers
Answer:
Supplementary
Step-by-step explanation:
84 plus 96 equals 180 degrees
supplementary angles are angles that add up to 180 so their relationship is supplementary
Inscribed circles on the arc; improvement answer is required in full.
Answers
Answer:
The measure of an inscribed angle is half the measure of the intercepted arc
∠EFG creates Arc EDG
if ∠EFG is 1/2 arc EDG then 115° x 2 = 230°
A circle is 360°.
The remaining arc EFG is 360° - 230° = 130°
∠EDG is 1/2 of arc EFG so, 130° ÷ 2 = 65°
∠EDG = 65°
Referring to the Fig. in Question #23, find the cosine of angle S. Reduce the answer to the lowest terms.
Answers
The Cosine of angle S in the given triangle is
\(\frac{8}{10} =\frac{4}{5}\) .
Trigonometric Identities:Trigonometric Identities are equality claims that apply the principles of trigonometry and are valid for all possible values of the variables in the equation.
Many particular trigonometric identities can be used to express the relationship between a triangle's side length and angle.Only the right-angle triangle is consistent with the trigonometric identities.
All trigonometric identities are built upon the foundation of the six trigonometric ratios. Some of their names are sine, cosine, tangent, cosecant, secant, and cotangent. Each of these trigonometric ratios is defined using the adjacent side, opposite side, and hypotenuse side of the right triangle. All fundamental trigonometric identities are derived from the six trigonometric ratios.
The Cosine of an angle ∅ in a right triangle is given as ,
Cosine (∅) = \(\frac{base}{hypotenuse}\)
Now in the given triangle .
\(Cosine (S)=\frac{8}{10} =\frac{4}{5}\)
Learn more about trigonometric identities, visit:
https://brainly.com/question/14746686
#SPJ1
Question 4
The formula for Judy's weekly pay is P = 480 + 18 (h – 30), where P is the
pay (in dollars) and h is the hours worked. How many hours must Judy work to
earn 660 in one week? Please write your answer as a complete sentence.
Edit
View
Insert
Format Tools Table
Answers
Answer:
I just solved a question similar to this
Let's understand it
It's saying she got 660 or it is that her weekly pay is 660
So now let weekly pay which is P be 660
Hence the formulae is given
It's 480 + 18 (h – 30) = 660
Now its just boring calculation
If you mark it brainleist I will do the calculation for you wink wink
Never mind
480 + 18 (h – 30) = 660
18 (h – 30) = 660-480
18 (h – 30) = 120
(h – 30) = 120/18
(h – 30) = 6.6
h = 6.6+30
h= 36.6
So dam the Judy lady worked for 36.6 hours
Create a check register for the transactions listed.
a. Your balance on 1/5 is $822.67.
b. You write check 1076 on 1/6 for $600.00 to Excel Health Club.
c. You deposit a paycheck for $227.45 on 1/11.
d. You deposit a $50 rebate check on 1/15.
e On 1/16, you begin writing a donation check to Clothes for Kids but make an error and have
to void the check. You write the very next check for $100 to this organization.
f. On 1/20, you withdraw $200 from the ATM at the mall. The company owning the ATM
charges you $3.50 and your bank charges you $2.50 for the ATM transaction.
g. On 1/21, you made a debit card purchase at Stacy's Store for $134.87.
Numer
Debit
Date
1/5
Description of Transaction
Balance
Credit Balance
$ 822.67
Answers
Answer:
Step-by-step explanation:
A check register for the transactions listed is attached below in the form of a picture.
What is a Check register for the transaction?A take a look at sign up is a record on that is said the charge dates, take a look at numbers, charge amounts, and payee names for all take a look at bills. The record is used to decide the precise bills blanketed in a take-a-look-at-a-run; as such, its miles are taken into consideration and are a vital part of the bills payable process.
Given, Few transactions of a check register as per the given question:
a. Your balance on 1/5 is $822.67.
b. You write check 1076 on 1/6 for $600.00 to Excel Health Club.
c. You deposit a paycheck for $227.45 on 1/11.
d. You deposit a $50 rebate check on 1/15.
and so on,
Date Transaction Description Balance($)
01 May 2023 Beginning Balance
02 May 2023 Check to Excel Health Club -₹ 600.00
03 May 2023 Paycheck ₹ 227.45
04 May 2023 Rebate Check ₹ 50.00
05 May 2023 Check to clothes for kids -₹ 100.00
06 May 2023 ATM -₹ 202.50
07 May 2023 Purchase at Stacy's store -₹ 134.87
08 May 2023 Deposit into bank ₹ 1,300.00
09 May 2023 Check to iBiz -₹ 744.24
10 May 2023 Paycheck ₹ 227.45
11 May 2023 ATM -₹ 50.00
12 May 2023 Check to iTel wireless -₹ 75.00
13 May 2023 Check to Ticket king -₹ 120.00
Therefore, the only balance sheet is given above and A check register for the transactions listed is attached below in the form of a picture.
Learn more about Check register here:
https://brainly.com/question/4156903
#SPJ2
Complete question:
An isosceles triangle has an angle that measures 136°. What measures are possible for the other two angles? Choose all that apply.
Answers
Answer:
The other two angles are 22° , 22°
Step-by-step explanation:
To find the other angles, we can use angle sum property of triangle.
The given angle 136° cannot be base angles. Let the base angles be x.
x + x + 136 = 180°
2x + 136 = 180°
Subtract 136 from both sides,
2x = 180 - 136
2x = 44°
Divide both sides by 2,
x = 44 ÷ 2
\(\sf \boxed{x = 22^\circ}\)
Answer:42
Step-by-step explanation:
just addHELP ME! Deandre estimated the weight of his mountain bike to be 13 kg. The actual weight of his mountain bike was 12.7 kg.
Find the absolute error and the percent error of Deandre's estimate. If necessary, round your answers to the nearest tenth.
Answers
Answer:
Absolute error = 13-12.7=0.3
13 =100%
12.7=x
x=(12.7)(100)/13
x=97.7
the percentage error is 97.7%
A bottle of orange juice contains 64 fluid ounces.how many cups of orange juice are in three bottles
Answers
A bottle of orange juice contains 64 fluid ounces. The percent of bottle of orange juice is water is 75% and there are 48 cups of orange juice are there in bottles.
Percentage:
In mathematics, a percentage is a number or a ratio that can be expressed as a fraction of 100. If we need to calculate a percentage of a number, we divide the number by a whole number and multiply by 100. So , percent means one hundredth and the word percent means every 100th. It is represented by the symbol "%".
Using this formula
Percentage = Ounces of water/Ounce bottle of orange juice
Where:
Ounces of water = 48 ounces
Ounce bottle of orange juice = 64 ounce
Let plug in the formula
Percentage = 48/64
Percentage = 0.75×100
Percentage = 75%
Therefore,
the percent of bottle of orange juice is water is 75%.
Complete Question:
A bottle of orange juice contains 64 fluid ounces. how many cups of orange juice are in three bottles. What percent of bottle of orange juice is water
Learn more about Percent:
https://brainly.com/question/28670903
#SPJ1
Answer:
the percent of bottle of orange juice is water is 75%.
Step-by-step explanation:
If a 36-inch yardstick casts a 21-foot shadow, how tall is a building whose shadow is
168 feet? (Draw a picture with two similar polygons.)
Answers
The ratio of an object's original scale to that of a new, smaller representation is known as the scale factor.
What is meant by scale factor?A scale factor is defined as the ratio of an object's original scale to that of a new, smaller depiction of that object (bigger or smaller).
The scale factor is the amount that is multiplied by the original object to create a replica that is smaller but otherwise identical. The only difference between the copy and the original is its size. As though you had used a copy machine to increase or reduce the image or object, scale factor doubles it.
The ratio between the representation and the real thing is indicated by a scale factor. In order to reduce the actual thing's dimensions, a precise depiction of the object is called a scale drawing.
168 ÷ 21 = 8
The scale factor is 8
36 × 8 = 288
The building exists 288 inches.
To learn more about scale factor refer to:
https://brainly.com/question/25722260
#SPJ1