From the information given, there are 81 different possible outcomes if you spin 4 spinners labeled Red, Blue, Yellow.
A permutation is an arrangement of objects in a specific order, and spinning involves generating a random outcome from a set of possible outcomes.
When spinning the spinner, each outcome has an equal chance of occurring, so we can say that the set of possible outcomes is being randomly permuted.
Spinning can be thought of as a way to generate a random permutation of a set of possible outcomes.
Each spinner has three possible outcomes, so the total number of different possible outcomes for all four spinners is:
3 x 3 x 3 x 3 = 81
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The width of a table is 4 2/5
feet. The length of the table is 2 1/5
times as long as its width.
Which equation shows the length of the table?
Please answer ASAP
The equation that shows the length of the table is length = 11/5 × 22/5
What is a fraction?A fraction can be defined as the part of a whole number, variable or element.
The different types of fractions are;
Proper fractionsImproper fractionsMixed fractionsComplex fractionsSimple fractionsFrom the information given, we have that;
Length = 2 1/5 × Width
Width = 4 2/5 feet
Turn into improper fractions
Width = 22/5 feet
Then, length = 11/5 × 22/5
Hence, the equation is 11/5 × 22/5
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Brainliest if correct!!! Please help! Geometry 5th grade
Hi there, here's your answer:
The question asked here is, "Which of the following is a line segment in the drawing?"
Let's review all the options first.
a) HD
H and D being two points of a line AK form a line segment.
b) HA
H being a point on the line AK and A being an end point of a line make HA a ray.
c) GH
Again, H being a point on line GJ and G being an end point of a line make GH a ray.
d) DI
DI are two distinct points and do not join, thus they don't form a line segment.
Therefore, the correct option is (a) HD
Hope it helps! Please mark as Brainliest!
Find the remaining trigonometric functions of 0 if
17
8
CSC 0 =
-
and cos > 0. Answer exactly.
Answer:
**DUE TOMORROW, NEED ANSWER ASAP**
NASA has asked you to evaluate a number of proposals for telescopes. These proposals include information about where the telescope would be built and what wavelengths it intends to observe at. Based only on these factors, evaluate whether NASA should consider funding each proposal. Justify your recommendations. (Some telescopes may have more than one "correct" answer depending on how you justify it).
a.) An ultraviolet telescope in space
b.) An optical telescope in a remote location in Michigan's upper peninsula
c.) A radio telescope in the Mojave desert in Arizona
d.) An x-ray telescope in the Andes mountains in Chile
e.) An optical telescope in space
Step-by-step explanation:
Select the values that make the inequality a<3 true.
(Numbers written in order from least to greatest going across.)
please help me
The values that make the inequality true are -5, -2, 0, 2, 2.9, 2.99 and 2.999.
How to determine the values that make the inequality a<3 true?An inequality is a relationship that makes a non-equal comparison between two numbers or other mathematical expressions e.g 2x > 4
Since the inequality is a < 3. Thus, any value that is less than 3 will make the inequality true.
Therefore, the values are -5, -2, 0, 2, 2.9, 2.99 and 2.999.
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A soccer player has a large cylindrical water cooler that measures 3.5 feet in diameter and is 2 feet tall. If there are approximately 7.48 gallons of water in a cubic foot, how many gallons of water are in the water cooler when it is completely full? Use π = 3.14 and round to the nearest hundredth.
575.44 gallons
143.86 gallons
76.93 gallons
19.23 gallons
There are approximately 205.33 gallons of water in the water cooler when it is completely full.
What is the volume of the cylinder?
The volume of a cylinder is given by the formula:
V = πr^2h
where V is the volume, r is the radius, and h is the height of the cylinder.
The volume of the cylindrical water cooler is:
V = πr^2h
where r is the radius and h is the height. Substituting the given values:
V = 3.14 x (3.5/2)^2 x 2
= 27.44 cubic feet
To convert cubic feet to gallons, we can multiply by 7.48 gallons/cubic foot:
V = 27.44 x 7.48
= 205.32 gallons
Rounding to the nearest hundredth, the answer is:
205.32 ≈ 205.33 gallons
Hence, there are approximately 205.33 gallons of water in the water cooler when it is completely full.
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Answer:
The correct answer is 143.86 gallons
Step-by-step explanation:
Solve the question with Steps
The solution of the question sin(50)sin(80)cos(50)cos(80) is cos^2(80o), the correct option is D.
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot. Trigonometric ratio can be defined in terms of ratios of perpendicular, bases and hypotenuse. These are defined only in right angled triangles (triangles whose one angle is of 90 degree measure).
Given;
sin(50)sin(80)cos(50)cos(80)
Now,
=sin(20°)cos(80°) – cos(20°)sin(80°)
=sin(A-B) = sinA.cosB – cosA.sinB
=sin(20°-80°)
=sin(-60°)
=cos^2(80o)
Therefore, by trigonometry the answer will be cos^2(80o).
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If m4=75°, then what is m8
Rayna and Desi are building a fence together. It takes Rayna $3$ hours to make $10$ feet of fence line. It takes Desi $1$ hour to make $2$ feet of fence line. How many hours will it take them to build $80$ feet of fence line together?
Answer: Let's call the number of hours it takes for Rayna and Desi to build the fence together as "h". During this time, Rayna will build 10h feet of fence line, and Desi will build 2h feet of fence line.
Together, they will build 10h + 2h = 12h feet of fence line in h hours.
To build 80 feet of fence line, they will need h hours such that:
12h = 80
So,
h = 80 / 12 = 6.67 hours
So it will take Rayna and Desi 6.67 hours to build 80 feet of fence line together.
Step-by-step explanation:
Graph the line with slope -1 passing through the point (1,-5)
Answer:
please review the attachment
Please help with these questions
Answer: number 2 is A
Step-by-step explanation:
The map shows air travel distances from Minneapolis to four other cities. Use the triangle
inequality to find the range of possible distances between:
Minneapolis
1584
San Francisco
355
1056
1018
Chicago
Houston
New York
Chicago and Houston
San Francisco and Chicago
New York and San Francisco
Houston and New York
The triangle inequality states that the sum of any two sides of a triangle must be greater than the third side.
Using this principle, we can calculate the range of possible distances between each of the following cities:
Minneapolis and San Francisco: The sum of the distances from Minneapolis to Chicago and from Chicago to San Francisco is 1584 + 355 = 1939. Therefore, the minimum distance between Minneapolis and San Francisco is 1939 - 1584 = 355. The maximum distance between Minneapolis and San Francisco is 1939.
Minneapolis and Houston: The sum of the distances from Minneapolis to Chicago and from Chicago to Houston is 1584 + 1056 = 2640. Therefore, the minimum distance between Minneapolis and Houston is 2640 - 1584 = 1056. The maximum distance between Minneapolis and Houston is 2640.
Minneapolis and New York: The sum of the distances from Minneapolis to Chicago and from Chicago to New York is 1584 + 1018 = 2602. Therefore, the minimum distance between Minneapolis and New York is 2602 - 1584 = 1018. The maximum distance between Minneapolis and New York is 2602.
Chicago and Houston: The sum of the distances from Chicago to Minneapolis and from Minneapolis to Houston is 1584 + 1056 = 2640. Therefore, the minimum distance between Chicago and Houston is 2640 - 1056 = 1584. The maximum distance between Chicago and Houston is 2640.
San Francisco and Chicago: The sum of the distances from San Francisco to Minneapolis and from Minneapolis to Chicago is 355 + 1584 = 1939. Therefore, the minimum distance between San Francisco and Chicago is 1939 - 355 = 1584. The maximum distance between San Francisco and Chicago is 1939.
New York and San Francisco: The sum of the distances from New York to Minneapolis and from Minneapolis to San Francisco is 1018 + 355 = 1373. Therefore, the minimum distance between New York and San Francisco is 1373 - 1018 = 355. The maximum distance between New York and San Francisco is 1373.
Houston and New York: The sum of the distances from Houston to Minneapolis and from Minneapolis to New York is 1056 + 1018 = 2074. Therefore, the minimum distance between Houston and New York is 2074 - 1056 = 1018. The maximum distance between Houston and New York is 2074.
Find the slope of the line that passes through (-8,-1) and (12,4). Write the answer as a fraction in simplest form
slope:
Now write the equation of the line in slope intercept form:
The slope of the line that passes through (-8,-1) and (12,4) is 1/4.
The equation of the line in slope intercept form is y = x/4 - 31/4.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Substituting the given data points into the slope formula, we have the following;
Slope, m = (4 + 1)/(12 + 8)
Slope, m = 5/20
Slope, m = 1/4.
At point (-8, -1), a linear equation of this line can be calculated in slope-intercept form as follows:
y - y₁ = m(x - x₁)
y - (-8) = 1/4(x - (-1))
y + 8 = x/4 + 1/4
y = x/4 - 31/4.
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Which is a counterexample of the following conditional? "If a number is divisible by seven, then it is odd." 28 21 7 1
PLS JUST DROP THE ANSWER
The counterexample of the given conditional statement is "14 is even number and is divisible by 7."
What is a counterexample?Counterexamples are used in math to contradict a statement. Counterexamples are used to prove the limitations of possible theorems.
The given statement is "If a number is divisible by seven, then it is odd."
Number, 14, 28, 42, 56 are even numbers and they are divisible by seven.
Therefore, the counterexample of the given conditional statement is "14 is even number and is divisible by 7."
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Answer: the answer is 28
Step-by-step explanation: 28 is divisible by 7 and it is a even number
Divide the following using long division method: 96431÷63
[tex]96431 \div 63 \: longdivision \: method[/tex]
Answer:
So the answer is 1535 with a remainder of 18.
Step-by-step explanation:
63
96431
-----
96431 - 54249 = 42182
-----
42182
4218
-----
420
---
18
---
David's phone has about 10,000 songs. The distribution of play time for these songs is heavily skewed to the right with a mean of 225 seconds and a standard deviation of 60 seconds. Suppose we choose an SRS of 10 songs from this population and calculate the mean play time i of these songs.
a) Calculate the mean and standard deviation of the sampling distribution.
b) Interpret the standard deviation from part (a)
On solving the provided question, we can say that The following are the mean and standard deviation of the sample distribution of x: Average: 225 sec. 19 second standard deviation.
What is standard deviation?Standard deviation is a statistic that expresses the variability οr variance of a grοup of numbers. While a high standard deviation suggests that the values are mοre dispersed, a low standard deviation suggests that the values tend tο be closer to the established mean.
A measure of hοw dispersed the data are frοm the mean is the standard deviation (οr ). When the standard deviation is lοw, the data tend to be grouped around the mean, and when it is large, the data are mοre dispersed. The average variability of the data set is measured as standard deviation. It reveals the average deviation of each scοre from the mean.
The median matches the median οf the population.
The pοpulation standard deviation is divided by the square root of the sample size tο produce the standard deviation.
The following are the criteria fοr this issue:
average population of 225 seconds.
60 second population standard deviatiοn.
10 second sample size.
Consequently, the following is the standard deviation fοr the sample distributiοn of x:
19 seconds are equal to 60/√(10).
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A computer can do 50 trillion additions per second. How many additions can it do in 10 hours? (1 trillion = 10^12)
Answer:
1.8 quintillion or 1,800,000,000,000,000,000
Step-by-step explanation:
Examine the figure below, find each angle’s measure.PLEASE HELPP ANYONEEE?
The measures of all the angles D, C, E and F are 90 degrees
How to determine the measures of the anglesFrom the question, we have the following parameters that can be used in our computation:
The circle
On the circle, we have the angles D, C, E and F to be angles in a semicircle
As a general rule:
Angles in a semicircle are right angle
This means that
Angle in a semicircle = 90 degrees
Using the above as a guide, we have the following:
D, C, E and F = 90 degrees
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Someone help me with this Quadratic function graph function question
The graph of the quadratic function y = -6x² + 1 is given by the image presented at the end of the answer.
How to obtain the graph of the quadratic function?The parent quadratic function is given as follows:
y = x².
The transformed quadratic function is given as follows:
y = -6x² + 1.
The transformations are given as follows:
Multiplication by the negative number: reflected over the x-axis, changing the concavity of the quadratic function.Multiplication of x by the number with an absolute value of 6: horizontal compression by a factor of 6.Addition by 1: translation up one unit.More can be learned about quadratic functions at https://brainly.com/question/1214333
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Given the costs associated with insurance, why do companies provide insurance plans to employees?
Company should provide insurance policies to employees because the employees are assets to them.
What is meant by Insurance Policies?An insurance policy is a contract between the insurance company and the person getting the insurance.
Employees are assets of a company.
Companies should look after by insuring this asset like any other asset.
Although it is not the only factor for an employee to stick to a company, it is also one of the contributing factor for the employees to stick to a company longer.
It is a very good benefit for the employee since the premium is paid by the employer for the employee.
Hence companies should provide insurance policies to employees.
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Suppose that the functions s and t are defined for all real numbers x as follows.
s(x)=x²
t(x) = 4x³
Write the expressions for (t+s) (x) and (t.s) (x) and evaluate (t-s) (2).
(r+s)(x) =
=
(-) (2) =
X
S
The value of the functions defined for all real numbers is (t + s)(x) = 4x³ + x², (t.s)(x) = (4x³)x² = [tex]4x^5[/tex], (t - s)(x) = 4x³ - x².
What are composite functions?In mathematics, a function is composed when two functions, f and g, are used to create a new function, h, such that h(x) = g(f(x)). The function of g is being applied to the function of x, in this case. Therefore, a composite function is essentially applied to the output of another function.
Given that,
s(x)=x²
t(x) = 4x³
The value of the composite functions is given as:
(t + s)(x) = t(x) + s(x) = 4x³ + x²
(t.s)(x) = (4x³)x² = [tex]4x^5[/tex]
(t - s)(x) = t(x) - s(x) = 4x³ - x²
Hence, the value of the functions defined for all real numbers is (t + s)(x) = 4x³ + x², (t.s)(x) = (4x³)x² = [tex]4x^5[/tex], (t - s)(x) = 4x³ - x².
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Multiple step Fnd the value of X.
8)
(X-745)
560 4x0
(3x+2)
36
The value of x in the diagrams are 14 and 99 respectively
How to determine the valuesNote the following points;
Corresponding angles are equal Sum of angles at a point is equivalent to 360 degreesFrom the information given in the diagram
56 degrees and 4x degrees are corresponding
Then,
4x = 56
Make 'x' the subject
x = 14
From the second image
Add the angles and equate to 360 degrees, we have;
3x + 2 + 36 + x - 74 = 360
collect like terms
4x = 360 + 36
4x = 396
Make 'x' the subject
x = 99
Hence, the values are 14 and 99
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COWS
Tt
Lakayja brushed 24 cows in 2 hours. How many can she brush in 15 hours?
Answer: 180
Step-by-step explanation: Hope this helps :D
Answer:
180 Cows
Step-by-step explanation:
24 in 2 = 12/hr
12 cows x 15 hours = 180 cows
Help me with this question……
Answer:
the square root(route?) of four
Step-by-step explanation:
2x2=4, that dot is near two....
Find the length of CB
C is 22 and B is 20, then the length of CB is √(22² + 20²) = √(884) = 29.
What is length?Length is a measurement of size and it can be measured in a variety of waste including inches sentiment of metres feet miles and more. Playing these an important concept in mathematics, science and engineering and many others build it to used to calculate the dimensions of this area. And more it is also used to measure the time it takes to travel.
The length of CB can be determined by using the Pythagorean theorem, which states that the square of the length of the hypotenuse (the longest side of a right triangle) is equal to the sum of the squares of the other two sides. Since CB is the hypotenuse of a right triangle, the length of CB can be determined by solving the following equation:
C² + B² = CB²
Therefore, when given the lengths of sides C and B, the length of CB can be calculated by taking the square root of the sum of the squares of C and B.
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Question 8, triangle review
The length of line segment DL of the system of similar triangles is 4√3. The length of line segment BD of the system is √3.
How to calculate the missing lengths in a system of similar triangles
Two triangles are similar if they have congruent angles and if their sides are not congruent though proportional. The statement of the problem can be described by following equations:
Proportion formula
AD / BD = DL / AD
DL = 4 · BD
Then, we find the formula for line segment DL:
AD / BD = 4 · BD / AD
AD² = 4 · BD²
BD = √(AD / 2)
If we know that AD = 6, then the length of line segment DL:
BD = √3
DL = 4√3
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using the midpoint approach calculate the percentage change in price for laundry detergent that decreases from 4.10 to 3.50 as a result quantity demandd increases from 210 to 230
The percentage change in the price is 15.78% decrease.
What is the percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.
Here are some percentage examples:
10% is 1/10 of a fraction.20% is equal to a 1/5 portion.25% is equal to 1/4 fractions.Now,
Initial price=4.1
Final price=3.5
Change=3.5-4.1= -0.6 , minus means decrease in price
final value + initial value=7.6
then
percentage change by midpoint approach = (final value-initial value) / ((final value + initial value)/2) *100
=0.6/3.8*100
=0.1578*100
=15.78%
hence,
The percentage change in the price is 15.78% decrease.
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Please help me with this !
The length of side AB within quadrilateral ABCD is 14.301 meters.
How to determine the length of a missing by trigonometry
In this problem we find a geometric system formed by a quadrilateral and two diagonals, whose parameters are listed below:
CD = 20 m
m ∠ BCD = 20°
m ∠ ACB = 40°
m ∠ ADC = 45°
m ∠ ADB = 50°
The missing side can be found by combining law of sine and law of cosine:
Law of sine
20 / sin 65° = BD / sin 20°
BD = 7.548
20 / sin 75° = AD / sin 60°
AD = 17.932
Law of cosine
AB = √(AD² + BD² - 2 · AD · BD · cos ADB)
AB = √(17.932² + 7.548² - 2 · 17.932 · 7.548 · cos 50°)
AB = 14.301
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Find the area of the figure. Round to the nearest tenth, if necessary.
The solution is the area of the figure is 53.17.
What is area of trapezoid?The area of a trapezoid is found using the formula, A = ½ (a + b) h,
where 'a' and 'b' are the bases (parallel sides) and 'h' is the height .
here, we have,
from the given figure we get,
a = 10,
b = 6
h = 8
so, A = 64
again, the cut triangle is a equilateral triangle with side = 5
then, area of triangle = √3/4 * 5^2
= 10.82
so, required area = 53.17
Hence, The solution is the area of the figure is 53.17.
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X=a+b+4, a is directly Propotional to y² and b is inversely propotional to y, when Y= 2₁ X=18 and y=1, X=-3, Find X when y=4
Answer:
x = 81
Step-by-step explanation:
If a is directly proportional to y²:
[tex]\boxed{a \propto y^2 \implies a=ky^2}[/tex]
If b is inversely proportional to y:
[tex]\boxed{b \propto \dfrac{1}{y} \implies b=\dfrac{m}{y}}[/tex]
Given equation:
[tex]x=a+b+4[/tex]
Substitute the derived expressions for a and b into the given equation:
[tex]\implies x=ky^2+\dfrac{m}{y}+4[/tex]
Substitute the given values of x and y into the equation to create two equations in terms of k and m.
Given that x = -3 when y = 1:
[tex]\implies -3=k+m+4[/tex]
Given that x = 18 when y = 2:
[tex]\implies 18=4k+\dfrac{m}{2}+4[/tex]
Rewrite the first equation to isolate k:
[tex]\implies k=-m-7[/tex]
Substitute the expression for k into the second equation and solve for m:
[tex]\implies 18=4(-m-7)+\dfrac{m}{2}+4[/tex]
[tex]\implies 18=-4m-28+\dfrac{m}{2}+4[/tex]
[tex]\implies -4m+\dfrac{m}{2}=42[/tex]
[tex]\implies -8m+m=84[/tex]
[tex]\implies -7m=84[/tex]
[tex]\implies m=-12[/tex]
Substitute the found value of m into the expression for k and solve for k:
[tex]\implies k=-(-12)-7[/tex]
[tex]\implies k=5[/tex]
Substitute the found values of k and m into the equation to create an equation for x in terms of y:
[tex]\boxed{x=5y^2-\dfrac{12}{y}+4}[/tex]
Finally, to find the value of x when y = 4, substitute y = 4 into the equation and solve for x:
[tex]\implies x=5(4)^2-\dfrac{12}{4}+4[/tex]
[tex]\implies x=5(16)-3+4[/tex]
[tex]\implies x=80-3+4[/tex]
[tex]\implies x=81[/tex]
A survey is taken at a movie theater in Wayside. The first 100 people who entered the theater were asked about their favorite type of movie. What is true about this situation?
The population is the first 100 people at the theater, and the sample is the total number of people who go to the movie theater.
The population is the total number of people who go to the movie theater, and the sample is the first 100 people at the theater.
The population is the number of people who go to the movie theater, and the sample is the number of people in the town of Wayside.
The population is the number of people in the town of Wayside, and the sample is the number of people who go to the movie theater.
What is true about the population and sample of the survey is that;'
The population is the total number of people who go to the movie theater, and the sample is the first 100 people at the theater.
How to Identify the Population and sample of the data?In statistics, the population is defined as the entire group that you want to draw conclusions about. However, the sample is defined as the specific group that you will collect data from. The size of the sample is always less than the total size of the population. In research, a population doesn't always refer to people.
Now, we are told that a survey is taken at a movie theater in Wayside. The first 100 people who entered the theater were asked about their favorite type of movie.
Thus, the sample will be 100 people surveyed as they are part of the entire people at the movie theater.
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