This information can be entered into an Excel sheet by creating columns for each item (A-J) and entering the corresponding values in the corresponding cells.
What are the purpose of excel sheet? Excel is a powerful spreadsheet application used to create, edit, format, and calculate data. It is used by businesses, financial institutions, and individuals for a wide range of tasks. Excel is commonly used to organize, store, and analyze data. It can be used to create charts and graphs, build financial models, and perform complex calculations. Excel can also be used to track and manage large amounts of data.Excel sheets are used to organize, store, and analyze data. They can be used to create tables, perform calculations on data, and generate graphs and charts. Excel can also be used to create automated workflows that allow users to quickly access data, perform calculations, and generate reports. Excel can be used to easily summarize and compare data from multiple sources. It can also be used to create complex formulas that perform calculations and generate results. Excel is often used to analyze trends over time and determine correlations between different data sets. Excel is also used to create complex formulas that can be used to automate tasks, such as forecasting and budgeting.
To learn more about excel refer to:
https://brainly.com/question/24749457
#SPJ1
If m4 = 108°, what is the measure of 26?
Answer:
108
Step-by-step explanation:
When the lines cut through by a transversal are parallel, alternate interior angles are congruent. angle 4 = angle 6 = 108
Mary’s rectangular garden is 27 units long and 49 units wide. What is the perimeter?
Answer:
152 units
Step-by-step explanation:
Two sides of the rectangle are 27 units long and the other two sides are 49 units wide. You just add all the numbers up (27+27+49+49). When you do that, you get 152. I hope this helps!
In a stock of 12 blouses, 90 are sleeveless. How many percent of the stock are sleeveless?
75 percent of the stock are sleeveless
How to determine the percentage?The given parameters are:
Blouse = 120
Sleeveless = 90
The percentage is calculated as:
Percentage = Sleeveless/Blouse * 100%
So, we have:
Percentage = 90/120* 100%
Evaluate the expression
Percentage = 75%
Hence, 75 percent of the stock are sleeveless
Read more about proportion at:
https://brainly.com/question/1781657
#SPJ1
Can u guys please give me the correct answer
Angles on straight line = 180
180 - 115 = 65
So, angle above 4 in the top corner is 65.
Co-interior angles add up to 180.
(180-65=115)
Thus, the value of 4 is 115 degrees.
Hope this helps!
You are training to compete in a 10-kilometer race, and you know the circular running trail at your park is one mile long. How many times will you need to run this trail in order to run 10 kilometers?
Answer:
6.2 rounds
Step-by-step explanation:
since 1 kilometer is 0.62 miles
10 kilometers is 6.2 miles
so about 6 and 1/5 rounds
231 ( 40 + 15 ) = 231 x 40 + ------------ x -----------
which property is this
Answer:
12705
Step-by-step explanation:
The problem could be solved in two different methods:
1:
231×(55)=12705
2.
231×40+231×15=9240+3465=12705
Decide whether the conditions create a unique triangle, multiple triangles, or no triangle m∠A=65∘ m∠B=75∘ m∠C=40∘
Answer:
multiple triangles
Step-by-step explanation:
add the numbers up it adds to 180 which is the sum of a triangle and could create other triangles
Simplify the expression.
(8+20)÷4+3
spent a total of $5.58 for carrots, priced at $0.90 per pound. How many pounds of
carrots did Trina buy?
Answer:
6.2 pounds
Step-by-step explanation:
$5.58 / $.9 = 6.2 pounds of carrots bought
find p + q
someone pls help
Answer:
70
Step-by-step explanation:
45+90=135
180-45=45
q=45
45+65=110
180-110=70
70-45=25
p=25
45+25=70
Answer: 70°
Step-by-step explanation:
We know that the sum of all 3 angles in a triangle is 180°. Hence, we can just set all measures to be equal to 180° and solve for the variables.
Left Triangle[tex]p+65+90=180\\p+155=180\\p=25[/tex]
Right Triangle[tex]45+90+q=180\\135+q=180\\q=45[/tex]
Sum[tex]p+q=25+45=70[/tex]
The sum of p and q is 70°.
You are building a ramp for your grandparent's house. The ramp will replace the steps that go
to their front door which is 3 feet off the ground. You want the ramp to start 10 ft from the
front door. How long will the ramp need to be?
Using right triangle, the length of the ramp is 10.44 ft.
How to find the length of the ramp using right triangle?The situation forms a right angle triangle.
The length of the ramp is the hypotenuse side of the right triangle.
Therefore, using Pythagoras theorem,
c² = a² + b²
where
a and b are the other legsc is the hypotenuse sideTherefore,
c² = 10² + 3²
c² = 100 + 9
c = √109
c = 10.4403065089
c = 10.44 ft
Therefore, the length of the ramp is 10.44 ft.
learn more on right triangle here:https://brainly.com/question/8431253
#SPJ1
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180
The true options regarding the triangle diagram are;
m∠5 + m∠6 = 180°
m∠2+ m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°
How to prove congruent angles?We see the attached image showing ΔABC with Exterior angles as;
∠ 1 , ∠ 4 ,and ∠ 6
Now, the exterior angle property of triangles states that; An exterior angle of a triangle is equal to the sum of the opposite interior angles.
For Exterior ∠1 we have;
∠1 = ∠5 + ∠3 (Exterior angle Property of Triangle)
Similarly,
For Exterior ∠ 4 we have;
∠4 = ∠5 + ∠2 (Exterior angle Property of Triangle)
For Exterior ∠6 we have;
∠6 = ∠2 + ∠3 (Exterior angle Property of Triangle)
From Triangle Sum Property, we know that the sum of the measures of angles in a triangle is equal to 180°. Thus;
m∠2 + m∠3 + m∠5 = 180° (Triangle Sum Property)
Linear Pair of angles states that the measure of a straight angle is 180° and as such a linear pair of angles must add up to 180°. Thus;
m∠5 + m∠6 = 180° (Linear Pair)
Read more about Congruent Angles at; https://brainly.com/question/1675117
#SPJ1
Which of the following statements is TRUE about rectangle ABDC.
The statement that is TRUE of the rectangle is AB + BD > AD. Option A
Facts about the rectangleWE have that a diagonal divides the rectangle into two equal triangles
line AD is the length of the diagonal
With the diagonal drawn, we have
AD = hypotenuse
AB and BD are the two other sides
From the Pythagorean theorem, we have that the square root of the square sum of the other two sides fives the hypotenuse. This mean that their sum is greater than the hypotenuse
Thus, the statement that is TRUE is AB + BD > AD. Option A
The complete question is;
Which of the following statements is TRUE about rectangle ABDC.
a. AB + BD > AD
b. AB + BD < AD
c. AB + BD = AD
d. (AB) (BD) = AD
Learn more about diagonal of rectangles here:
https://brainly.com/question/23008020
#SPJ1
Name the type of angle relationship. Set up the equation and solve for x.
Equation:
Solve: x :
Answer:
Same side interior angles
x=10
Step-by-step explanation:
The angles are same side interior angles
The add to 180 degrees
6x+10 + 110 = 180
Combine like terms
6x+120 =180
Subtract 120 from each side
6x = 180-120
6x= 60
Divide by 6
6x/6 = 60/6
x = 10
Answer:
Same-Side Interior Angles
Equation: 6x + 10 + 110 = 180
x = 10
Step-by-step explanation:
Hello!
The sum of the two given angles is 180°, as they are same-side interior angles.
Equation: 6x + 10 + 110 = 180
Solve for x6x + 10 + 110 = 1806x + 120 = 1806x = 60x = 10The value of x is 10°.
Miranda works 25 hours a week at a wage rate of $10. Thus, her total weekly income is $250. On this income, she pays total taxes of $12.50. However, she calculates that on the last hour that she works, she pays $2.50. Miranda average take rate is ___% Miranda marginal tax rate is ___%
Step-by-step explanation:
Ig by dividing 12.50 and 250
Allen's hummingbird (Selasphorus sasin) has been studied by zoologist Bill Alther.† Suppose a small group of 17 Allen's hummingbirds has been under study in Arizona. The average weight for these birds is x = 3.15 grams. Based on previous studies, we can assume that the weights of Allen's hummingbirds have a normal distribution, with = 0.40 gram.
(a)
Find an 80% confidence interval for the average weights of Allen's hummingbirds in the study region. What is the margin of error? (Round your answers to two decimal places.)
lower limit
upper limit
margin of error
(b)
What conditions are necessary for your calculations? (Select all that apply.)
normal distribution of weights
is unknown
uniform distribution of weights
is known
n is large
Correct: Your answer is correct.
(c)
Interpret your results in the context of this problem.
The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
We are 20% confident that the true average weight of Allen's hummingbirds falls within this interval.
We are 80% confident that the true average weight of Allen's hummingbirds falls within this interval.
The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
Correct: Your answer is correct.
(d)
Find the sample size necessary for an 80% confidence level with a maximal margin of error E = 0.13 for the mean weights of the hummingbirds. (Round up to the nearest whole number.)
Incorrect: Your answer is incorrect.
hummingbirds
a)
E =0.124Lower limit =3.026Upper limit = 3.274b) Conditions:[tex]\sigma[/tex] is understood to have a regular distribution of weights
c) Interpretation: 80 percent of the time, this range will include the actual average weight of Allen's hummingbirds, hence its reliability may be counted on
d) sample size [tex]n \approx 27[/tex].
What conditions are necessary for your calculations?Generally,
Here n = 17
T= 3.15
[tex]\sigma=0.40[/tex]
confidence level =c = 0.80
Here we will usethe z critical value.
z critical value for (1+c) /2 = (1+0.80)/2
z critical value for (1+c) /2= 0.9
Zc = 1.28
Critical value = 1.28
a) Margin of error (E) :
[tex]E = Zc*\frac{\sigma}{\sqrt{n}}\\\\\E = 1.28*\frac{0.40}{\sqrt{17}}[/tex]
E =0.124
Margin of error = E =0.124
Lower limit = x-E
L= 3.15 - 0.124
L= 3.026
Lower limit =3.026
Upper limit = x + E
U= 3.15 + 0.124
U= 3.274
Upper limit = 3.274
The following is a confidence interval with a value of 80 percent for the mean weights of Allen's hummingbirds in the area under study: (3.02,3.28)
b) Conditions:[tex]\sigma[/tex] is understood to have a regular distribution of weights
c) Interpretation: 80 percent of the time, this range will include the actual average weight of Allen's hummingbirds, hence its reliability may be counted on.
d) When is already known, the following equation may be used to determine the appropriate number of samples, n:
[tex]n=(\frac{z_c*\sigma }{E})^2[/tex]
Margin of error = 0.13
Sample size (n):
[tex]n= (\frac{z_c*\sigma }{E})^2[/tex]
[tex]n=(\frac{ 1.28*0.36}{0.09})^2[/tex]
n = 26.21
[tex]n \approx 27[/tex]
Read more about probability
https://brainly.com/question/795909
#SPJ1
Pls help me i'm stuck
Answer: [tex]m\angle BAM=30^{\circ}[/tex]
Step-by-step explanation:
[tex]AD=x\sqrt{3}[/tex] (Pythagorean theorem)
[tex]m\angle ACD=60^{\circ}[/tex] (30-60-90 triangle)
[tex]m\angle MCA=30^{\circ}[/tex] (angle subtraction)
[tex]m\angle MAC=30^{\circ}[/tex] (base angles theorem)
[tex]m\angle CAD=30^{\circ}[/tex] (30-60-90 triangle)
[tex]m\angle BAM=30^{\circ}[/tex] (angle subtraction)
Your car broke down and it's time to get a new one. You've found just the right one to fit your needs but you want to be sure you are making a good financial decision,
so you ask the lender for an amortization table. What key pieces of information will you be able to see in the amortization table to help you make your decision?
Answer:
what is the monthly payment or ask for the mileage use for the car
The exchange rate in some prehistoric village was 6 jagged rocks for every 2 smooth pebbles. Also, one shiny rock could be traded for 3 smooth pebbles. If Joaquin has 30 jagged rocks, what is the maximum number of shiny rocks he could trade for?
A. 6
B. 4
C. 5
D. 3
30 Jagged rocks are the same 3 shiny rocks using the exchange rates provided(i.e. option D)
What is an exchange rate?
Exchange rate means the rate at which one item exchanges hands with another, for instance, in this case, 6 jagged rocks are equivalent to 2 smooth pebbles.
6 jagged rocks=2 smooth pebbles
divide both sides by 2
6/2 jagged rocks=2/2 smooth pebbles
3 jagged rocks=1 smooth pebble
We can rewrite as below:
1 jagged rock=1/3 smooth pebble
30jagged rocks=1/3*30 smooth pebbles
30 jagged rocks=10 smooth pebbles
Now we need to convert 10 smooth pebbles to shiny rock equivalence
3 smooth pebbles=1 shiny rock
1 smooth pebble=1/3 shiny rock
10 smooth pebbles=1/3*10 shiny rocks
10 smooth pebbles=3 shiny rocks( even though it is 3.33, but the final answer should be rounded to a whole number)
Read more about exchange rate in the link below:
https://brainly.com/question/2202418
#SPJ1
Please help. Attached as an image
Distance formula ds = v(dx² + dy²) s = ? v(1 + (dy/dx)²) dx ......... s = the arc length y = 171 - x²/45
chegg
someone solved it on this
https://youtu.be/UGjXlMVdZvc
what two equal numbers add to the number 40
Answer:
3+37
11+29
17+23
20+20
Step-by-step explanation:
It's 20
(20+20 = 40)
Hope this helps!
For the piecewise function, find the values g(-1), g(2), and g(5). g(x)= x+4, for x≤2 9-x, for x>2
Answer:
g(-1) = 3, g(2) = 6, g(5) = 4
Step-by-step explanation:
Please refer to attached photo. (Apologies for the terrible handwriting.)
From here we can see,
g(x) = x + 4 applies for values x less than or equal to 2.
g(x) = 9 - x applies for values x more than 2 (which does not include 2.)
g(-1):
Since -1 < 2,
g(-1) = -1 + 4 = 3
g(2) = 2 + 4 = 6
g(5):
Since 5 > 2,
g(5) = 9 - 5 = 4
4. In the figure above ABCD is a parallelogram with
mLB = 60°, BC = XC = AZ = 4, XZ BC. What
is the perimeter of parallelogram ABCD?
Answer:
G. 24
Step-by-step explanation:
The perimeter of the figure is the sum of its side lengths. The given dimensions tell us all of the side lengths.
AnalysisTriangle BCX is given as an isosceles triangle with a base angle of 60° and side lengths of 4. Such a triangle is equilateral, so all side lengths will have a measure of 4.
The given information tells us all sides that appear parallel are parallel, so the figure consists of 4 equilateral triangles. Every short line segment has length 4.
PerimeterThe perimeter is the length of 6 short line segments, so is ...
P = 6×4 = 24
The perimeter of parallelogram ABCD is 24 units.
What are the solutions to 4x^3 + 16x^2 + 28x = 0
Step-by-step explanation:
the third option is the answer.
What is the value of pi (i need to unlock the safe because is an inhibitor there) DYING LIGHT 2
The number π (pi) is a mathematical constant which is equal to the ratio of a circle's circumference to its diameter. It has a value of π = 22/7
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The number π (pi) is a mathematical constant which is equal to the ratio of a circle's circumference to its diameter. It is given by:
π = 22/7
Find out more on equation at: https://brainly.com/question/2972832
#SPJ1
Find f−1(x) for f(x)=15+12x.
Answer:
[tex]\text{f}^{-1}(x)=\dfrac{x-15}{12}[/tex]
Step-by-step explanation:
[tex]\text{f}^{-1}(x)[/tex] is the notation for the inverse of a function.
The inverse of a function is a reflection in the line y = x.
Given function:
[tex]\text{f}(x)=15+12x[/tex]
To find the inverse of the given function:
Step 1
Replace f(x) with y to get an equation for y in terms of x:
[tex]\implies y=15+12x[/tex]
Step 2
Rearrange the equation to make x the subject:
[tex]\implies y-15=15+12x-15[/tex]
[tex]\implies y-15=12x[/tex]
[tex]\implies \dfrac{y-15}{12}=\dfrac{12x}{12}[/tex]
[tex]\implies x=\dfrac{y-15}{12}[/tex]
Step 3
Replace x with [tex]\text{f}^{-1}(x)[/tex] and y with x → this is the inverse function:
[tex]\implies \text{f}^{-1}(x)=\dfrac{x-15}{12}[/tex]
Step 4 (if necessary)
The domain of the function is the range of the inverse function.
The range of the function is the domain of the inverse function.
Therefore, as the domain and range of the given function are unrestricted, so too are the domain and the range of the inverse function:
Domain: (-∞, ∞) → all real numbersRange: (-∞, ∞) → all real numbersLearn more about inverse functions here:
https://brainly.com/question/16071767
[tex]\\ \rm\leadsto y=15+12x[/tex]
Interchange x and y
[tex]\\ \rm\leadsto x=15+12y[/tex]
Solve for y
[tex]\\ \rm\leadsto 12y=x-15[/tex]
[tex]\\ \rm\leadsto y=\dfrac{x-15}{12}[/tex]
That's the inverse
A rectangular waterbed is 8 ft long, 7 ft wide, and 1.5 ft tall. How many gallons of water are needed to fill the waterbed? Assume 1 gallon is 0.13 cu ft. Round to the nearest whole gallon.
646 gallons of water are needed to fill the waterbed
How to determine the gallons of water?The dimensions are given as:
8 ft long, 7 ft wide, and 1.5 ft tall
The volume is calculated as:
Volume = Length * Width * Height
So, we have
V = 8 * 7 * 1.5 cubic feet
Evaluate
V = 84 cubic feet
1 gallon = 0.13 cubic feet
So, we have:
V = 84/0.13 gallon
Evaluate
V = 646 gallons
Hence, 646 gallons of water are needed to fill the waterbed
Read more about volume at:
https://brainly.com/question/1972490
#SPJ1
A perimeter of a movie screen is 56 meters. the area is 171 square meters what are the dimensions of the screen
Using the formula for the perimeter and area of rectangle, the dimensions are: Length = 19 m; width = 9 m.
What is the Perimeter and Area of a Rectangular Shape?Perimeter = 2(length + width)
Area = (length)(width).
Let x represent the length and y the width, therefore:
2(x + y) = 56 --> eqn. 1
xy = 171 --> eqn. 2
Rewrote eqn. 1
x + y = 56/2
x = 28 - y
Substitute x = (28 - y) into eqn. 2
171 = (28 - y)y
171 = 28y - y²
171 - 28y + y² = 0
y² - 28y + 171 = 0
Factorize
(y - 9)(y - 19)
y = 9 and y = 19
Therefore, the dimensions are: Length = 19 m; width = 9 m.
Learn more about the perimeter and area of rectangle on:
https://brainly.com/question/24571594
#SPJ1
The real root of the equation x3 – 7x2 + 15x – 25 = 0 is 5. What are the nonreal roots?
–4i, 4i
2 – 4i, 2 + 4i
1 + 2i, 1 – 2i
–16i, 16i
Answer:
1±2i.
Step-by-step explanation:
1. if to evaluate the expression given, it can be written
(x-5)(x²-2x+5)=0;
2. where the nonreal roots are 1±2i.
1. In a class of 60 students, a survey was conducted, 30 students had applied for Addis Ababa University, 25 students applied for Bahir Dar University and 24 students applied for Wachemo University. 11 students applied for both Addis Ababa and Bahir Dar Universities, 6 applied for both Addis Ababa and Wachemo Universities, 9 applied for both Wachemo and Bahir Dar Universities while 4 applied neither of the aforementioned universities. Find 1) number of student that applaid for all the university
Let A, B, and W denote the sets of students apply to Addis Ababa Uni (A), Bahir Dar Uni (B), or Wachemo Uni (W). Let U denote the universal set of all students in the class.
We're given the cardinalities of several sets:
• total number of students: [tex]n(U) = 60[/tex]
• A applicants: [tex]n(A) = 30[/tex]
• B applicants: [tex]n(B) = 25[/tex]
• W applicants: [tex]n(W) = 24[/tex]
• A and B applicants: [tex]n(A\cap B) = 11[/tex]
• A and W applicants: [tex]n(A \cap W) = 6[/tex]
• B and W applicants: [tex]n(B\cap W) = 9[/tex]
• non-applicants: [tex]n(U \setminus (A\cup B\cup W)) = 4[/tex]
The last cardinality tells us [tex]n(A\cup B\cup W) = 60-4 = 56[/tex] students applied anywhere at all.
We want to find [tex]n(A\cap B\cap W)[/tex], the number of students that applied to each of the three universities.
By the inclusion/exclusion principle,
[tex]n(A\cup B\cup W) = n(A) + n(B) + n(W) \\\\~~~~~~~~~~~~~~~~~~~~~~~~ - n(A\cap B) - n(A\cap W) - n(B\cap W)\\ \\~~~~~~~~~~~~~~~~~~~~~~~~ + n(A\cap B\cap W)[/tex]
That is, we count up all the students in the sets A, B, and W, then subtract the number of students in each pairwise intersection to not double-count, then add back the number of students in the intersection of all three sets since it was removed in the previous step.
Now solve.
[tex]56 = 30 + 25 + 24 - 11 - 6 - 9 + n(A\cap B\cap W)[/tex]
[tex]\implies n(A\cap B\cap W) = \boxed{3}[/tex]