The length of each entertainment segment written as a decimal is 4.5 minutes
How long is each entertainment segment?Total time of the TV program= 20 minutes
Number of commercials= 2
Time taken for each commercial= 13/4 minutes
Total time taken for 2 commercials= 2(13/4)
= 26/4
= 13/2 minutes
Number of minutes remaining after commercials= Total time of the TV program - Total time taken for 2 commercials
= 20 - 13/2
= (40-13) / 2
= 27/2 minutes
Number of entertainment segment = 3
Time spent on each entertainment segment= Number of minutes remaining after commercials / 3
= 27/2 ÷ 3
multiply by the reciprocal of 3
= 27/2 × 1/3
= 27/6 minutes
= 4.5 minutes
Therefore, each entertainment segment will take 4.5 minutes from the 20 minutes TV program.
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an examination profile sheet allows individuals to compare their standard score multiple against what group? a) the average of all candidates in your rate
The statement that "An examination profile sheet allows the person to compare their standard score multiple against average of candidates advanced in your rate" is not necessarily true or false.
The Standard Scores depends on the specific examination and the examination profile sheet being used.
Some examination profile sheets may allow individuals to compare their standard score multiple against the average of candidates advanced in their rate, while others may not.
It is important to note that the reference group used to compare standard score multiples can have a significant impact on the interpretation of the results.
Therefore, it is essential to understand the context and purpose of the examination and the examination profile sheet being used.
The given question is incomplete , the complete question is
An examination profile sheet allows individuals to compare their standard score multiple against the average of all candidates in your rate . Is the statement TRUE or FALSE .
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Choose the method of pay that would result in the most earnings for one month on sales of $60,000.
The method of pay that would result in the most earnings for one month on sales of $60,000 would be: d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
How to find the earnings?The earnings can be calculated as follows:
a. Earnings = 6% of 60000
Earnings = $3,600
b. Earnings = 1500 + .03(60000)
Earnings = 1500 + 1800
Earnings = $3,300
c. For the first $50,000: $50,000 * 4% = $2,000
For the remaining $10,000: $10,000 * 10% = $1,000
Total earnings: $2,000 + $1,000 = $3,000
d. For the first 5 % ×40,000 = 2000
For the remaining (60,000-40,000) = .09 x 20000 = 1800
Total earnings :2000 + 1800 = $3,800
Therefore the correct option is D.
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The complete question is:
Choose the method of pay that would result in the most earnings for one month on sales of $60,000.
a. Straight commission of 6% on all sales.
b. Monthly salary of $1,500 plus 3% commission on all sales.
c. Graduated commission of 4% on the first $50,000 in sales and 10% on anything over that.
d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
Which relation is also a function? f (x) = 2^x. h (x) = -3x x 2^x
3(2x + 1) + 2(x + 4)
Answer:
8x-5
Step-by-step explanation:
please help me with this
[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ y=24 \end{cases}\implies 24=ab^1\implies 24=ab \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=3\\ y=1536 \end{cases}\implies 1536=ab^3\implies 1536=abb^2\implies \stackrel{\textit{substituting from above}}{1536=24b^2} \\\\\\ \cfrac{1536}{24}=b^2\implies 64=b^2\implies \sqrt{64}=b\implies \boxed{8=b}[/tex]
[tex]\stackrel{\textit{since we know that}}{24=ab}\implies 24=a8\implies \cfrac{24}{8}=a\implies \boxed{3=a} \\\\[-0.35em] ~\dotfill\\\\ {\Large \begin{array}{llll} y=3(8)^x \end{array}} \hspace{15em}\stackrel{\textit{after 6 days}}{y=3(8)^6}\implies y=786432[/tex]
Anyone know how to do this
Answer:
this is an corresponding angle meaning it would be the same as angle DAE.
The approximate amount of calories, c, that a dog needs each day is represented by C=72M^3/4, with m being the dog's weight in KG. How many calories would a 64 kg dog need? (Radicals and Rational Exponents)
Short answer needed ASAP
Answer:
B
Step-by-step explanation:
I tried my best to do the math but im not exactly sure.
Answer: B
Step-by-step explanation:
I did the test
QuESTION 15 Which difficulty of range as measure 0f 'variability is overcome by interquartile range? a. The range is difficult to compute b. The range is influcnced t0o much by extreme values The sum of the range variances is ZEtO d. The range is negative
The difficulty of range as a measure of variability that is overcome by interquartile range is option b that is The range is influenced too much by extreme values.
What is variance?The variance is the mean squared difference between each data point and the mean-centered distribution. A statistical assessment of the dispersion of values in a data collection is referred to as variance. Variance explicitly assesses how distant each number in the set is from the mean (average), and consequently from every other number in the set. Variance is a measure of how data points differ from the mean, whereas standard deviation is a measure of statistical data distribution. The primary distinction between the two is that standard deviation is expressed in the same units as the mean of the data, whereas variance is expressed in squared units.
Here,
The interquartile range overcomes the problem of range as a measure of variability. Extreme values have an undue impact on the range.
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What’s the population in six years?
79472.432 fewer people will live in Todsham in 6 years compared with now.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 3 = 7 is an equation.
We have,
Current population = 300,000
Decrease in population = 5%
Now,
The population after x years can be written as an equation.
y = 300,000 x [tex]0.95^x[/tex]
For x = 6,
y = 300,000 x [tex]0.95^6[/tex]
y = 300,000 x 0.7351
y = 220527.568
Now,
The difference in population after 6 years.
= 300,000 - 220527.568
= 79472.432
Thus,
79472.432 fewer people.
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On a math test a student,Sarah, has to identify all the coefficients and constants of the expression . 6n+y+4 says that 6 is a coefficient and 4 is a constant. Identify all the coefficients and constants of the expression. What error Sarah might have made?
In the given expression 6n + y + 4 which 6 is a coefficient, y is a variable, and 4 is a constant.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
6n + y + 4
As per the question, Sarah says that 6 is a coefficient and 4 is a constant.
Thus, the error she might have made is confusing the variable y with the coefficient 6.
In the expression 6n + y + 4, 6 is a coefficient, y is a variable, and 4 is a constant.
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9 is multiplied by the cube of a number.
Answer: 1000
Step-by-step explanation:
9 cubed is 9³ = 9 × 9 × 9 = 729 10 cubed is 10³ = 10 × 10 × 10 = 1000 hope it helps
In ΔEFG, f = 400 inches,
m
m∠F=94° and
m
m∠G=33°. Find the length of g, to the nearest 10th of an inch.
The measurement of the side g in the Δ EFG is 218.38
What is sine rule of triangle?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given that, In Δ EFG, f = 400 inches, m ∠ F = 94° and m ∠ G = 33°, we need to find, the length of g (refer to figure attached)
Using the sine rule of the triangle,
f / Sin F = g / Sin G = e / Sin E
400 / Sin 94° = g / Sin 33°
g = 400 / Sin 94° × Sin 33°
g = 218.38
Hence, the measurement of the side g in the Δ EFG is 218.38
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Answer:
g= 218.4
Step-by-step explanation:
Draw a diagram:
Draw a diagram:
E
F
G
f = 400
g = ?
94°
33°
A.A.S.
→
Law of Sines
A.A.S.→Law of Sines
sin
=
sin
sinA
a
=
sinB
b
From reference sheet.
Find other angle:
Find other angle:
∠
=
180
−
94
−
33
=
5
3
∘
∠E=180−94−33=53
∘
E
F
G
f = 400
g = ?
94°
33°
53°
sin
33
=
400
sin
94
sin33
g
=
sin94
400
Plug in. Opposite sides go together.
=
400
sin
33
sin
94
≈
218.3876
≈
218.4
g=
sin94
400sin33
≈218.3876≈218.4
Solve for the side and evaluate.
Your Solution:
=
218.4
g=218.4
A Square pyramid is shown, with dimensions in centimeters (cm).
What is the volume, in cubic centimeters, of the pyramid? Show all work solving this problem.
- formula used and all work for the area of the base
- formula used and all work for the volume of the pyramid
The volume of the Square pyramid is 400 cm³
Volume of the Square pyramid:A square pyramid that has four triangular lateral faces with a square base is known as a Square pyramid.
The formula for the Volume of the Square pyramid is given by
Volume of Square pyramid = (1/3) × b² × h
Where
b = Side of the square base
h = Height of the pyramid
Here we have
A Square pyramid is shown, with dimensions in centimeters (cm).
Height of the pyramid, h = 12 cm
Base of the pyramid, b = 10 cm
By the formula, Volume of Square pyramid = (1/3) × b² × h
Volume of Square pyramid = (1/3) × (10)² × 12
= 100 × 4
= 400 cm³
Therefore,
The volume of the Square pyramid is 400 cm³
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China and Germany specialize in the production of silk and automobiles respectively. They are considered the best at their specializations. Assume that China chooses not to trade silk with Germany in exchange for automobiles. Which perspective is China using in regards to not trading to another country which provides a specialization they do not have? O absolute advantage O comparative advantage O new trade theory O porter's model
both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
Explain about comparative advantage.China is using the comparative advantage perspective in regards to not trading silk with Germany in exchange for automobiles. According to the theory of comparative advantage, a country should specialize in producing and exporting the goods or services that they can produce more efficiently or at a lower opportunity cost compared to other goods and services.
According to question;In this case, China has a comparative advantage in producing silk and a comparative disadvantage in producing automobiles compared to Germany, which has a comparative advantage in producing automobiles and a comparative disadvantage in producing silk.
Hence, both countries can benefit from trade by specializing in the goods and services that they are relatively more efficient at producing and exchanging them with each other.
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PLEASE HELP TIMED
What is the solution of x+4/2x-1 < 0
Answer:
x<2
Step-by-step explanation:
this is correct answer
The inequality g≤5 has........ solutions because ...........can be substituted for g to make the inequality true.
Answer:
infinite solutions because any value less than or equal to 5
Two restaurants sell meals for different prices, as shown below. Sophia wants to buy 2 meals. What is the difference between the prices she would pay at the two restaurants? Give your answer in pounds (£). < Back to task Restaurant A £16.50 each Buy one meal, get another one half price Scroll down Watch video Restaurant B £16 each Buy two meals, get 15% off the cost of both Answer >
Sophia would pay £2.45 less if she bought her 2 meals at Restaurant B
What is cost?
Cost is the value of money that has been used up to produce something or deliver a service, and hence is not available for use anymore.
First, let's find the total cost of 2 meals at Restaurant A. The first meal costs £16.50, and the second meal is half-price, so it costs £16.50 / 2 = £8.25.
The total cost of 2 meals at Restaurant A is £16.50 + £8.25 = £24.75.
Next, let's find the total cost of 2 meals at Restaurant B. The meals each cost £16, so the total cost of 2 meals is £16 * 2 = £32.
After applying a 15% discount, the total cost of 2 meals is £32 * (1 - 0.15) = £27.20.
Finally, let's find the difference between the prices Sophia would pay at the two restaurants:
£24.75 - £27.20 = -£2.45
So, Sophia would pay £2.45 less if she bought her 2 meals at Restaurant B
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two students wish to investigate how the amount of pollution and number of fish in a stream are related. identify the dependent and independent variables.
In this investigation, the dependent variable is the number of fish in the stream and the independent variable is the amount of pollution.
Variables are symbols or names that are used to represent values in a mathematical or scientific investigation. They allow us to describe and analyze patterns and relationships in data.
There are two main types of variables:
1. Independent variables are variables that are manipulated or controlled in an experiment to determine their effect on the dependent variable. The independent variable is also referred to as the predictor variable or the explanatory variable.
2. Dependent variables are variables that are being measured in an experiment and are dependent on the independent variable. The dependent variable is also referred to as the response variable or the outcome variable. It is the variable that is being affected by the independent variable.
The dependent variable is dependent on the independent variable, as changes in the amount of pollution are expected to affect the number of fish in the stream. The goal of the investigation is to determine the relationship between the two variables and see how changes in the amount of pollution affect the number of fish in the stream.
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Find a solution to the system of equations 
Answer:
(4, 1 )
Step-by-step explanation:
the solution to a system of equations given graphically is at the point of intersection of the 2 lines.
the lines intersect at (4, 1 )
then the solution is (4, 1 )
Camille's Frisbee has a diameter of 16 centimeters. What is the Frisbee's area?
Step-by-step explanation:
Assuming that the frisbee is a circle it would just be using the area of a circle function which is
A=pi(r)^2
So the radius is half the diameter
A=pi(8)^2
Exponents first
A=pi(64)
And multiply
Area equals then about 201.0619
However you may need to round for the right decimal.
What are the number of distinct subsets and number of distinct proper subsets for {a,b,c,d,e,f}?{a,b,c,d,e,f}?
{a,b,c,d,e,f} each have 63 distinct subsets, including distinct proper subsets.
Explain about the Subset Theory?A subset is a part of the a universal set mathematically, which implies that every element in the given set is likewise a component of the entire set.For instance, a set A is only referred to as the subset of such a set B if and only if both sets' items are present in the set A. a subset's symbolic representation: A ⊆ B.The formula: = 2ⁿ . where n is the total number of items in the set, can be used to calculate the total number unique subsets of a set.Currently, an empty set always makes up this number of subsets.
There are:
in all, appropriate subsets.
= 2ⁿ - 1
Given set: {a,b,c,d,e,f}
Total number of digits in the set :
n(S) = 6
Thus,
The total number of subsets in this given set:
= 2ⁿ
= 2⁶
= 64
There are always an empty set in this amount of subsets.
Thus, there are 63 appropriate subsets in all of the given set.
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there are 43 students in the university travel club. the following information and venn diagram show how many students traveled to germany, france, and spain. how many students have been to germany or france but not spain?
There are 43 students in the university travel club, and the following information and Venn diagram show how many students traveled to Germany, France, and Spain. According to the Venn diagram, 10 students have been to Germany, 15 students have been to France, and 8 students have been to Spain.
To further explain, 10 students have been to Germany, and 15 students have been to France. Of these 25 students, 6 have been to both Germany and France, leaving 19 students who have been to either Germany or France. However, 8 of these 19 students have also been to Spain, leaving 11 students who have been to either Germany or France but not Spain. Adding the 6 students who have been to both Germany and France but not Spain brings the total to 16 students who have been to either Germany or France but not Spain.
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Generally, which one of the following is the least appropriate measure of central tendency for a data set that contains outliers? a. mean b. median c. 2nd quartile d. 50th percentile
The least appropriate measure of central tendency for a data set that contains outliers is the mean. This is because the mean is calculated by taking the sum of all the values in the data set and dividing it by the number of values. This means that the mean is heavily influenced by outliers, as they are included in the calculation.
The median, 2nd quartile, and 50th percentile are all more appropriate measures of central tendency for a data set that contains outliers, as they are not affected by the presence of outliers. The median is calculated by taking the middle value of the data set, the 2nd quartile is calculated by taking the median of the upper half of the data set, and the 50th percentile is calculated by taking the value at the 50th percentile of the data set.
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if the plant filled each of its cans to 12 ounces, what would be the standard deviation of the sample of 10 cans?
If each of the plant's cans was filled to 12 ounces, the standard deviation of the sample of 10 cans would give us an idea of how much the weights of the cans deviate from the average weight of 12 ounces.
The calculation of the standard deviation requires knowledge of the mean and variance of the sample. To find the variance, we would need to subtract the mean from each of the observed weights, square the differences, and find the average of the squared differences. Finally, to find the standard deviation, we would take the square root of the variance.
It's worth noting that in practice, finding the standard deviation of a sample can be a complex and time-consuming process, especially when dealing with large sample sizes. However, it is a valuable metric that provides important information about the distribution and spread of the data.
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Which additional fact would prove that quadrilateral WXYZ is a parallelogram?
The additional fact that would prove that XW is a parallelogram is given as follows:
C. YZ = WX.
How to obtain the values?For a parallelogram, we have that the opposite sides are congruent, that is, they have the same side length.
The congruent pair of side lengths given in this problem is presented as follows:
XY and WZ.
Hence the missing pair of side lengths given in this problem is presented as follows:
YZ and WX.
Missing that the correct option is given by option C.
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determine if the following is a solution or nort , given 3x-2y>5
[2,0]
[3,2]
[2,6]
Only (2,0) is a solution to the inequality 3x-2y>5
How did we get the value?The following points are evaluated with regards to the given inequality 3x-2y>5:
[2,0]: 3x-2y = 3 * 2 - 2 * 0 = 6 > 5, so (2,0) is a solution.
[3,2]: 3x-2y = 3 * 3 - 2 * 2 = 3 > 5, so (3,2) is not a solution.
[2,6]: 3x-2y = 3 * 2 - 2 * 6 = -6 < 5, so (2,6) is not a solution.
So, only (2,0) is a solution to the inequality 3x-2y>5
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Number 15 please !!50 POINTS!!
The trigonometric ratios for angle Y are given as follows:
[tex]\sin{Y} = \frac{6}{\sqrt{61}}[/tex][tex]\cos{Y} = \frac{5}{\sqrt{61}}[/tex]tan(Y) = 6/5.[tex]\csc{Y} = \frac{\sqrt{61}}{6}[/tex][tex]\sec{Y} = \frac{\sqrt{61}}{5}[/tex]cot(Y) = 5/6.What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The inverse ratios are given as follows:
Cosecant: one divided by sine.Secant: one divided by cosine.Cotangent: one divided by tangent.More can be learned about trigonometric ratios at brainly.com/question/24349828
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when purchasing a vechicle, which of the following would initially offer the lowest monthly payment
special apr financing
ballon payment plan
cash back offer
regular apr financing
The special apr financing would initially offer the lowest monthly payment. The correct answer is the first option.
The special apr financingThe monthly payment offered by "special APR financing" is likely to be the lowest among the options given. The "special APR financing" generally refers to a promotional interest rate offered by the dealership or the manufacturer, which can result in lower monthly payments. However, the total cost of the vehicle over the life of the loan could be higher compared to the other options.
It's always best to consider the total cost of the vehicle and compare the options based on the interest rate, loan term, down payment, and any additional fees before making a final decision.
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If g(x) = 3(4)^x
what is the value of g(2) ?
Answer:
Step-by-step explanation:
g(2) = 3/2(2) + 4 = 3 + 4 = 7