The average number of tickets sold per day for the FALL play last week was 25.
What is the average?The average is the quotient of two values.
The average refers to the mean and is one of the values of central tendencies.
To compute the average or the mean value, the sum of the data values is divided by the number of items.
Day Tickets Sold
Monday 21
Tuesday 14
Wednesday 38
Thursday 25
Friday 27
5 days Total 125
Average = 25 (125/5)
Thus, the mean or average number of tickets sold per day is 25.
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Fractions 7/8+ 1/5
Evaluate the expression shown below and write your answer as a fraction in simplest form
The simplest form of fraction of the given terms is 43/40.
According to the statement
we have to find that the simplest form of the fraction by evaluating.
So, For this purpose, we know that the
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
The given expression is
7/8+ 1/5
Now, to solve it take a LCM of it then
35+8/40
Now solve the term then the equation become
43/40.
Now, The simple form of the fraction become the 43/40.
So, The simplest form of fraction of the given terms is 43/40.
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HELP I WILL GIVE BRAINLEST
Answer:
the answer is A
Step-by-step explanation:
Sin is for a and in this picture a is y
it takes jesse four times as long to edit a chapter in a book as it takes curtis. if it takes curtis t hr to edit the chapter, at what rate does jesse do the job? write your answer as a single fraction in exact simplest form.
The rate at which Jesse did the job is 1/4t chapter/hour
What is rate?A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. This is not a ratio of two like units, such as shirts. This is a ratio of two unlike units: cents and ounces.
It takes Jesse four times as long as Curtis to edit a chapter
if takes Curtis t hrs, then,
it will take Jesse 4t hours
therefore the rate of Jesse = 1 chapter/4t hours
= 1/4t chapter/hour
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According to a candy​ company, packages of a certain candy contain 30​% orange candies. Find the approximate probability that the random sample of 50 will contain 38​% or more orange candies.
The approximate probability that the random sample of 50 will contain 38% or more orange candies is 0.966 or about 96.6%.
The number of orange candies in a sample of 50 candies as a binomial random variable with n = 50 and p = 0.30, p is the probability of selecting an orange candy.
The probability that the sample contains 38% or more orange candies, we need to calculate the cumulative probability of the binomial distribution from x = 0 to x = 19, and subtract it from 1.
Here, x is the number of orange candies in the sample, and 19 is the largest integer less than or equal to 0.38 × 50=19.
Using a binomial calculator or software, we can find that the cumulative probability of the binomial distribution from x = 0 to x = 19 is approximately 0.034.
The probability that the sample contains 38% or more orange candies is approximately:
1 - 0.034 = 0.966
The approximate probability that the random sample of 50 will contain 38% or more orange candies is 0.966 or about 96.6%.
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Write down the smallest possible answer.
Answer:
3
Step-by-step explanation:
We have to find the smallest possible factor of 15 and multiple of 3.
The smallest factor of any positive integer is 1.
The smallest multiple of any positive integer is the integer itself. So the smallest multiple of 3 would be 3 itself.
\(1 * 3 = 3\)
And 3 is the answer.
can you guys please help me on my homework? It would mean a lot to me :)
Answer:
For the top half add all of the numbers of a given set together, then divide by how many numbers there are.
1.) 9
2.) 7
3.) 4
4.) 3
5.) 47.5
6.) 67 1/3
For the bottom half questions, literally the same thing.
7.) 9
8.) 34
9.) 66
10.) -28
11.) -21
12.) 3
Step-by-step explanation:
your welcome for doing you 2 minute homework
Sara makes some Blue paint. She mixes yellow, red and brown in the ratio 4: 6: 9. He uses 340 ml of the yellow paint. How much Blue paint does he make?
Answer:
1615
Step-by-step explanation:
the equation that represents the amount of yellow paint used =
(ratio of yellow paint / sum of ratios) x p = 340
p = blue paint
4 / 19 x p = 340
p = 1615
1. Represent the following signals: a) a(t)=-u(-t-2) (1 v.) b) b(t)=(t+1).[u(t+3)-u(t-3)] (1 v.) c) d) c(t)=a(t)+b(t) (1 v.) d(n)=u(-n+2) (1 v.)
a) The signal a(t) = -u(-t-2) can be represented as a step function that is activated at t = -2 and has a value of -1 for t < -2 and 0 for t > -2.
b) The signal b(t) = (t+1)[u(t+3)-u(t-3)] can be represented as a ramp function that starts at t = -1 and increases linearly until t = 3, then remains constant for t > 3.
The value of the ramp is 0 for t < -1, (t+1) for -1 ≤ t < 3, and 4 for t ≥ 3.c) The signal c(t) = a(t) + b(t) is the sum of signals a(t) and b(t). It can be represented as the combination of the step function and the ramp function described above.
d) The signal d(n) = u(-n+2) can be represented as a discrete unit step function that is activated at n = 2 and has a value of 1 for n ≤ 2 and 0 for n > 2. It is a discrete version of the step function where time is replaced by the discrete variable n.
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A spider jumps onto the bottom of the front wheel as the bike is moving. The spider believes that if it just holds on tight that the tire will go all the way around one time in just 1 second. Is it right or wrong? Explain your answers.
The ______________ probability of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trials of the experiment
Answer:
Empirical probability
Step-by-step explanation:
Empirical probability is data collected from experiment and real-life situation.
The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.
\(\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}\)
Therefore, the correct answer is empirical probability.I hope this helps you! Let me know if my answer is wrong or not.
Find the area of the triangle. A. 17.7 B. 6.1 C. 8.1 D. 21.4
Answer:
17.7
Step-by-step explanation:
Area of a triangle is 1/2×L×B
since a degree is given we are to multiply it with it and we are to use SIN
so 1/2×sin65×4.5×13.1
sin65= 0.6018
so 1/2×0.6018×4.5×13.1
=35.47/2
=17.7
The area of the triangle is 17.7 square inches option (A) 17.7 is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We know,
The area of the triangle:
A = ab(sinx)/2
a = 13.1 cm, b = 4.5 cm, x = 37 degrees
A = 13.1×4.5(sin37)/2
A = 29.475sin37
A = 17.7 square inches
Thus, the area of the triangle is 17.7 square inches option (A) 17.7 is correct.
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Help PLEASEE!
Will mark brainliest! (If it lets me)
Answer:
4.
A= S²
A= 13²
A= 169
p= 4s
p= 4× 13
p= 52
5.
A= L×W
A= 21× 5
A= 105
p= 2(L+W)
P= 2(21+5)
P= 2(26)
P= 52
6.
A = L×W
A= 15× 9
A = 135
p=2(L+W)
P= 2( 15 + 9)
P= 2(24)
p = 48
Don't forget to put in the units
Please Help!!! Geometry!
The correct missing statement and the reason is NP = NO + OP by Segment Addition Property
Given: MONP
Prove: MN = OP
The Segment Addition Property states that,
When three locations A, B, and C are on the same line and point B is located between points A and C, the length of the line segment AC is equal to the sum of the lengths of the three line segments AB and BC.
In mathematical notation, this property can be represented as:
AB + BC = AC
Statements Reasons
1. MO = NP 1. Given
2. MO = MN+ NO 2. Segment Addition Property
3. NP = NO + OP 3. Segment Addition Property
4. MN+NO = NO+ OP 4. Substitution Property
5. MN = OP 5. Subtraction Property of Equality
Hence the correct option is 2nd.
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When a correlation is found between a pair of variables, this always means that there is a direct cause and effect relationship between the variables.
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(PLEASE HELP THIS IS EXTREMELY URGENT)
The scale factor of triangle ABC to triangle DEF is?
Rhett decides to build a square room for his movie and music collection. If the area of the room is 4x2 28x 49 square feet, what is the length of one side of the room? (7x 2) feet (2x 7) feet (2x − 7) feet (7x − 2) feet.
The length of one side of the square room of Rhett for his movie and music collection is (2x+7) feet.
What is area of square?Area of square is the square of its sides length. It can be given as,
\(A=a^2\)
Here, \(a\) is the length of the side of the square
Rhett decides to build a square room for his movie and music collection. The area of the room is given by the polynomial equation as,
\(A=(4x^2 +28x +49)\rm ft^2\)
Find the factors of the above equation using the split the middle term method as,
\(A=4x^2 +28x +49\\A=4x^2 +14x+14x +49A=x(2x+7)+7(2x+7)\\A=(2x+7)(2x+7)\\A=(2x+7)^2\rm ft^2\)
Compare it with the area of the square we get,
\(a=(2x+7)\rm ft\)
Hence, the length of the square room of Rhett for his movie and music collection is (2x+7) feet.
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¿como se elabora la superficie de un panel?
Answer: I don’t understand Spanish
Step-by-step explanation:
Oof
Evaluate each of the expressions below using the given value.
Answer:
23
Step-by-step explanation:
2a/3+13
Because a=15, we can substite a for 15...
2(15)/3+13
Solve...
30/3+13
10+13
23
The answer is 23.
The blue segment below is a diameter of O. What is the length of the radius of the circle? ASAP!!
Answer: The radius is 3.7 units
Step-by-step explanation:
Two angles are complementary the difference between four times the measure of the smaller angle and the measure of the larger angle is 10 what is the measure of the larger angle
The measure of the larger angle is obtained as follows:
70º
What are complementary angles?Two angles are defined as complementary is the sum of their measures is of 90º.
The variables that represent each angle in this problem are given as follows:
x and y.
They are complementary angles, hence:
x + y = 90.
The difference between four times the measure of the smaller angle and the measure of the larger angle is 10, hence:
4y - x = 10.
x = 4y - 10.
Hence the value of y is obtained as follows:
4y - 10 + y = 90
5y = 100
y = 100/5
y = 20º.
Hence the measure of the larger angle is given as follows:
x + 20 = 90
x = 70º.
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What other pair of corresponding congruent parts is needed to prove that the two triangles are congruent by ASA congruence postulate?.
Two triangles if the side between any two corners of one triangle cornor corresponds to the side between the corresponding two angles of the second triangle corner are said to be congruent by the ASA rule.
Create a point F' on ray AC such that BF' is equal to DE.
Angle BAF' = angle BAC, which equal to
angle EDF, AB = DE (given), so ∆ DEF
= ∆ ABP
Point F' has two possibilities: F' is equal to point C please.
If F' is not on C, line AC and ray BC intersect only at C, so F' is not on ray BC. Therefore the angle ABF' is not = the angle ABC. But this is a contradiction. Because angle ABF' = angle DEF (because ∆ DEF = ∆ ABF') and angle DEF = angle ABC (given). So, this case does not occur.
Therefore, F' = C must be true.
∆ABC = ∆ABF' = ∆DEF.
The reasonwe only need some parts to
prove congruence of triangles is that from these parts we can (in Euclidean geometry) derive other parts. This is because the basic axioms and definitions allow us to make "guesses" that turn out to be true every time.
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Which of the following is an example of a complex number that is not in the set of real numbers?
-7
2 + StartRoot 3 EndRoot
4 + 9i
Pi
Answer:
4 + 9i
Step-by-step explanation:
A complex number consists of a real part and an imaginary part, that is
z = x + yi ( x is the real part and yi the imaginary part )
A complex number does not exist in the set of real numbers.
Answer:
4 + 9i
Step-by-step explanation:
What is the missing reason in the proof?
calculate how many acres are in the southwestern 1/4 of the northern 1/2 of the eastern 1/2 of section 14.
Section 14 makes about 40 Acres.
640 acres make up a square mile.
Given are the southwest quarter, the northern half, and the eastern half.
Consider that 2x2x4=16.
640 divided by 16 equals 40 acres.
40 acres make up Section 14.
How do you estimate the value per acre?
At first appearance, the calculation for calculating price per acre (PPA) appears to be rather straightforward.It is calculated by dividing the value of your property (v) by the number of acres (a). Therefore, v / a = PPA. As an acre is already regarded as a squared number, you don't need to worry about squaring the measurement.
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Name: Date: Period: Score: First attempt due: Practice Worksheet: Properties of Exponents Final corrections due: Simplify each expression completely using properties of exponents. Answers should have positive exponents only and all numbers evaluated, for example 5 3 = 125. Each set of problems will use the property listed above as well as a combination of properties attempted in previous sets. NEGATIVE EXPONENT AND ZERO EXPONENT PROPERTIES 1. ???? −7 = 2. (21c 18) −1 = 3. (3???? 2 ) 0 = 4. 5(x 0 )y −1 = PRODUCT OF POWERS PROPERTY 5. ???? 7???? 12 = 6. c 3 c 8 c −5 = 7. (2???? 7 )(−4???? 9???? 5 ) = 8. (9x 10y 3 )(−x 5y 3 ) = QUOTIENT OF POWERS PROPERTY 9. ???? 12 ????7 = 10. 6c 3 3c−5 = 11. 2???? 7 −4????9????5 = 12. 9x 10y 3 −x 5y3 = POWER OF A POWER PROPERTY 13. (???? 3 ) 4 = 14. (c −1 ) 3 = 15. (???? 5 ) −2 = 16. (6x 3y)(x 2 ) −2 = POWER OF A PRODUCT PROPERTY 17. (8???? 5 ) 2 = 18. (2c −1 ) −3 = 19. (−2???? 10) −2 = 20. (4x 2y 3 ) −2 (−x 10) 2 = POWER OF A QUOTIENT PROPERTY 21. ( ???? 2 ) 4 = 22. ( 25c −1 5 ) 2 = 23. ( −2???? 11???? 5 4????−2???? 2 ) 2 = 24. ( (−2x) 2 3xy2 ) 3 = MORE PRACTICE WITH MIXED PROPERTIES 25. ( ???? 2 ) 4 (8???? 5 ) 2 ????−1????10 = 26. ( 16c 6c −2 (2c 2) 3 ) −1 = 27. −2???? ????5 ( ???????? 5 −2???? 10) 2 = 28. ( (4x 2y 3) 0 −3x−1y2 ) 3 = BONUS QUESTIONS 29. ( 9 20 ???? 5 ) (2???? −2 ) ( 4 3 ???? 9 ) 30. 8(–m0???? 2) 3 (−???? 3) 2 m6????0(−2m−2????4) 3
The four basic properties of exponents are the negative exponent property, the product of powers property, the quotient of powers property, and the power of a power property.
The properties of exponents are a set of rules that allow us to simplify terms that contain exponents.
Negative exponent property states that when a negative exponent is present, the base and the exponent are switched and the sign of the exponent is changed. For example, x-2 = 1/x2.
The product of powers property states that when two terms with the same base are multiplied, the exponents are added together. For example, x3 x4 = x7.
The quotient of powers property states that when two terms with the same base are divided, the exponents are subtracted. For example, x6/x2 = x4.
The power of a power property states that when a term with an exponent is raised to another power, the exponents are multiplied. For example, (x3)2 = x6.
These properties can be used to simplify expressions that contain exponents. For example, the expression (−2m−2????4) 3 can be simplified using the power of a power property by multiplying the exponents. The expression simplifies to −2m−6????12.
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The product of k and 9 is no more than 18
Answer:
2
Step-by-step explanation:
\(\large\huge\green{\sf{Answer:-}}\)
➡k x 9≤ 18
➡x≥18/9=2
➡answer is 2student x pushes a 10-n box with a force of 2 n. at the same time, student y pushes the same box with a force of 6 n, but in the opposite direction. which would most likely occur? (ignore friction.)
A producer will not supply any items when the price is $535 or lower, but when the price per item is $555, the producer is willing to supply 730 items. Find the linear supply function, p(x), for this item.
The linear supply function for this item is p(x) = 730/20 * (x - 535), where p(x) represents the price per item and x represents the quantity supplied.
In the given scenario, we know that when the price per item is $535 or lower, the producer will not supply any items. This implies that the quantity supplied (x) is zero when the price (p) is $535.
When the price per item increases to $555, the producer is willing to supply 730 items. This gives us a second point on the supply function: (555, 730).
To find the equation of the line passing through these two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope and b is the y-intercept.
Using the two points, we can calculate the slope:
m = (730 - 0) / (555 - 535) = 730/20 = 36.5
Substituting the slope and one of the points (535, 0) into the equation, we can solve for the y-intercept:
0 = 36.5 * 535 + b
b = -36.5 * 535
Thus, the linear supply function is p(x) = 36.5x - 36.5 * 535, or simplified as p(x) = 730/20 * (x - 535). This equation represents the relationship between the quantity supplied and the price per item for this specific item.
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The continuous function h(x) has exactly one critical point. Find the x-values at which the global maximum and the global minimum occur in the interval 1≤x≤4.
h′(2) is undefined, h′(x)=-1 for x<2 and h′(x)=1 for x>2.
Enter the exact answers.
The global maximum occurs when x=
.
The global minimum occurs when x=
Answer: Since h(x) has only one critical point, it must occur at x = 2. Therefore, we need to examine the behavior of h(x) to the left and right of x = 2 to determine the global maximum and minimum.
To the left of x = 2, h′(x) = -1, which means that h(x) is decreasing. Therefore, the global maximum must occur at x = 2.
To the right of x = 2, h′(x) = 1, which means that h(x) is increasing. Therefore, the global minimum must occur at x = 4.
Therefore, the exact answers are:
The global maximum occurs when x= 2.
The global minimum occurs when x= 4.
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that the company will generate $3.3 million for the local economy by the $1 million in salaries that will be paid. The city council estimates that 70% of the salaries will be spent in the local community and 70% of that money will again be spent in the community, and so on. What is the correct estimate of the amount generated to the local economy?
Answer:
The correct estimate of the amount generated to the local economy is $3,333,333.\(\bar3\)
Step-by-step explanation:
The amount the expected to be generated for the local economy = $3.3 million
The amount of salaries that will generate $3.3 million = $1 million
The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%
Therefore, we have;
For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞
The sum of a geometric sequence to infinity is given as follows;
\(\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}\)
Substituting the known values gives;
\(\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k = \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3\)
Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\(\bar3\).
Answer:
it A
Step-by-step explanation: