The vertices of a regular decagon can only ever give rise to a maximum of zero scalene triangles at any one time.
What are triangles?Generally, An isosceles triangle has two sides with the same length. There are 10 ways to choose the vertex that is common to the two equal sides, and for each of these choices, there are 5 ways to choose the other two vertices (since they must be distinct from the first). Therefore, there are a total of
10* 5*5=250 isosceles triangles.
To get the final count of scalene triangles, we use the principle of inclusion-exclusion by subtracting the number of isosceles triangles from the total number of triangles.
This gives us a final count of 120-250=-130.
However, since we cannot have a negative number of triangles, the final answer is 0.
Therefore, there are 0 scalene triangles that can be formed from the vertices of a regular decagon.
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The complete Question was not found
an amusement park sold 374 discount tickets and 306 full price tickets . What percentage of the tickets sold were discount tickets
Answer:55%
Step-by-step explanation:So, first find the total number of tickets sold 374+306=680. Now, divide the number of discount tickets by the total number and multiply the result by 100% to express the result as a percentage. Percentage of discount tickets=(374/680)100%=55%. So, 55% percent of the tickets sold at the amusement park were discounted.
What are rational numbers but not natural numbers?; Which set of numbers are rational numbers but not integers whole numbers or natural numbers?; Does the set of rational numbers contain the set of natural numbers?; What is a rational number that is not a real number?
The distinction between them is that an integer is a negative number without a decimal point.
What is integers?All whole numbers and negative numbers are considered integers. This means if we include negative numbers together with whole numbers, we form a set of integers.
Positive, negative, and zero are all examples of integers.
The Latin word "integer" signifies "whole" or "intact."
As a result, fractions and decimals are not included in integers. In this article, let's learn more about integers, their definition, and their characteristics.
According to our question-
The group of integers that are neither whole nor a natural number are:
As previously noted, the third set of integers lacks a decimal point;
However, the difference between them is that; a negative number without a decimal point is referred to as an integer
From the provided set: only fit into the description of an integer, because
It does not have a decimal point
And that is unfavorable.
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what is a proportional relationship between x and y; proportional relationship calculator; proportional relationship formula; what is a proportional relationship example; proportional relationships 7th grade; is y=x/2 a proportional relationship; proportional relationship example problems
The proportional equation has a general form. The proportional relation is:
y = k/x
The letters y and x are variables that can vary, and the letter k is the constant of proportionality. A constant of proportionality is a constant ratio between the y and x variables. The constant of proportionality can be found by calculating y/x.
A proportional relationship is a relationship between two variables in which as one variable changes, increases, or decreases, the other variable changes at a constant rate. A constant ratio is considered a constant ratio between two variables. Proportional relationships can be identified by proportional equations, graphs, or tables. The proportionality equations discussed in this lesson have the general form: The graph is displayed as a straight line. The table is pairs of numbers with a constant ratio between the pairs.
A linear relationship is written as: y = mx + b, where m is the slope and b is the y-intercept.A direct proportional relation is written as y = k/x. where k is the constant of proportionality. A direct proportional relationship is a linear relationship where k is the slope and the y-intercept is zero.Therefore, only linear relationships with zero y-intercept are directly proportional.
For example:
If 1 hat is $20, 2 hats are $40, 3 hats are $60, and so on. This is a direct share. If you triple the number of hats, the total amount will triple.
For 1 hut and $30 fee, 2 hut and $50 fee, 3 hut and $70 fee. This is a linear relationship, with each additional hat ordered increases the price by $20. However, due to a one-time processing fee of $10, the total price of 3 hats will not be 3 times the total price of 1 hat.
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A study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition. In this study, N = 20
a. 20
b. 10
c. 30
d. 60
In this study assessing the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) is at N = 20.
With respect to
n [tex]\leq[/tex] 0.05 N
Given:
If n = 10
10/0.05 [tex]\leq[/tex] N
n = 10
=> 2 Treatments
=> N = 20
This is the study of the effect of anxiety (low vs. high) and stress (low vs. moderate vs. high) on test performance uses = 10 in each treatment condition.
Thus, one-way ANOVA, when Fx = 1
One-way analysis of variance (ANOVA) is used to determine whether there are statistically significant differences between the means of three or more independent (unrelated) groups. This guide provides a brief introduction to one-way ANOVA, including test assumptions and when to use this test.
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A quadrilateral is shown in the diagram.
Which expression represents the perimeter of the figure in the diagram?
(A) 10 a+2
(B) 20 a-2
(c) 16 a+12
(D) 15 a-7
Step-by-step explanation:
F males + weua yvy did / How does Landman’s new eclectic phase differ from Blondel’s behaviouralist phase?
To evaluate forecasting performance of a model or compare relative performance of two
models, examine
a. contingency forecasts
b. conditional forecasts
c. ex ante forecasts
d. ex post forecasts
e. all of these
Therefore, the answer to this question is option (C) ex ante forecasts
What is forecasting performance?To face the challenge of improving operational performance while increasing production efficiency, performance forecasting is a crucial service to help decision-making in the idea, design, and operational phases of an asset.
Here,
As to evaluate forecasting performance of a model or compare relative performance of two models,
can be examined on the basis of ex ante forecasts
The term "ex-ante forecast" refers to a forecast that only takes into account the data (i.e., the value of economic variables) that is available at the time of the actual forecast and not the value of some variables that will be available later on.
Therefore, the answer to this question is option (C) ex ante forecasts
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At the time of her grandson's birth, a grandmother deposits 14000 in an account that pays 9.5% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
The value of the account at the child's twenty-first birthday is 102125.44
How to determine the value of the account at the child's twenty-first birthday?We can use the compound interest formula to determine the value of the account (A) on the child's twenty-first birthday:
A = P (1 + r/n)^(nt)
Where:
P is the initial amount of money deposited in the account
r is the interest rate
n is the number of times the interest is compounded per year
t is the number of years
Given: P = 14000, r = 9.5% = 0.095, t = 21, n = 12 (i.e. 12 months per year)
Substitututing into A = P (1 + r/n)^(nt):
A = 14000 (1 + 0.095/12)^(12×21)
A = 14000 (1 + 0.095/12)^(252)
A = 102125.44
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Which statement makes an accurate comparison of the motions for objects C and D?
Derivatives are used to determine that the following is the best statement:
The acceleration of object C is greater than the acceleration of object D.
When you divide the change in velocity by the change in time, you get the acceleration, which is: a=Δv/Δt
In this issue:
Both object C and object T experience an identical shift in time.The more rapid change in velocity for object C causes it to accelerate more quickly.hence the right answer is:
The acceleration of object C is greater than the acceleration of object D.
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Answer:
Object C had an acceleration that is greater than the acceleration for D
Step-by-step explanation:
5-55.
Additional Challenge: At the beginning of 1990, oil prices were $20 a barrel. Some oil investors predicted that the price
of oil would increase by $2.25 a barrel per year.
In the beginning of 2005, the price of oil was $30 a barrel. With increasing demand for oll around the world, oil investors in
2005 predicted that the price of oil would increase by $5.00 a barrel each year.
DILOIL
a. Let a represent the number of years since 2005. Write an equation that predicts the price of oil, y, using the information available in 2005.
b. Investors in 1990 did not have the benefit of the 2005 information. Write an equation that represents the prediction made in 1990, using the same variables as in
part (a). Remember that a represents the number of years since 2005.
c. Use the equations you wrote in parts (a) and (b) to determine when the cost of a barrel of oil would be the same for both price predictions.
d. In the spring of 2011, a barrel of oil was selling for about $112. Which prediction was closer? Was it a pretty good prediction?
a) The linear function for the 2005 estimate is given as follows: y = 30 + 5x.
b) The linear function for the 1990 estimate is given as follows: y = 53.75 + 2.25x.
c) They would be predicted to have the same cost in the year of 2013.
d) The 1990 prediction was closer, however it still had a large residual, hence neither was good enough.
How to define the linear functions?The linear functions are defined in the slope-intercept format, given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change for the price.b is the y-intercept, representing the initial cost in the reference year.Taking 2005 as the estimate, the function is given as follows:
y = 30 + 5x.
Taking 1990 as the estimate, the equation would be of:
y = 20 + 2.25x.
The estimate for 2005 would be of:
y = 20 + 2.25(15) = 53.75.
Hence the equation taking 2005 as the estimate would be of:
y = 53.75 + 2.25x.
The costs would be the same when:
30 + 5x = 53.75 + 2.25x.
2.75x = 23.75
x = 23.75/2.75
x = 8.63 -> + 2005 -> year of 2013.
The estimates for 2011(6 years after 2005) are given as follows:
y = 30 + 5x = 30 + 5(6) = $60.y = 53.75 + 2.25(6) = $67.25. (better estimate but not good enough).More can be learned about linear functions at https://brainly.com/question/24808124
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Find the slope of the line that passes through (5, 9) and (3, -5). Write your answer in simplest form.
Therefore the slope of the line passes through (5, 9) and (3, -5) comes out to be 7.
What is slope?By computing the ratio of the vertical to horizontal distance (rise over run) between two points, the slope—a numerical value that defines how steep a line is—is often calculated.
Here,
The slope of line that passes through (5, 9) and (3, -5)
Slope= gradient between the two points
Slope= (y2-y1)/(x2-x1)
Where y2= -5
Y1= 9
X2= 3
X1= 5
=> (-5-9)/(3-5)
=> -14/-2
=> 7
Therefore the slope of the line passes through (5, 9) and (3, -5) comes out to be 7.
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Which of the following is true about an isosceles trapezoid?
The diagonals are congruent and the median is parallel to the bases in isosceles trapezoid .
What is an isosceles trapezoid?
An isosceles trapezoid is trapezoid in which the base angles are equal and therefore the left and right side lengths are also equal.
In any isosceles trapezoid, two opposite sides (the bases) are parallel, and the two other sides (the legs) are of equal length (properties shared with the parallelogram). The diagonals are also of equal length.
The diagonals are congruent because if the diagonals are congruent the at least to of its legs (probably the vertical ones) are congruent. and the median is parallel to the bases in isosceles trapezoid because parallelism indicates that heights (vertical legs) are accurately congruent .
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Albert has a credit card with an APR of 20.7% and the following daily balances for this billing period: Days 1-3: $50 Days 4-10: $100 Days 11-25: $175 Days 26-30: $225 1. What is Albert’s daily rate? Round to the nearest ten thousandth.
Albert daily rate is 3.79%
How to determine Albert daily rate?We know that rate is the quantity or amount or the degree of a quantity measured with another quantity.
Albert's credit card APT = 20.7%
Daily balances are
Days 1-3 = (20.7*50)/100 = 10.35
Days 4-10 = (20.7*100)/100 =20.70
Days 11-25 = (20.7*175)/100 = 36.225
Days 26-30 = (20.7*225)/100 =46.575
Number of days in the month = 30 days
Total balance = $113.80
Daily rate = [tex]\frac{Total amount }{number of days}[/tex]
daily rate = [tex]\frac{113.80}{30}[/tex]
Dividing the figures we have 3.79
Therefore the daily rate is 3.79%
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Which of the following is an identity?
A. csc²x + cot²x = 1
B. (cscx + cotx)2 = 1
C. sin²x-cos²x = 1
D. sin²x sec²x + 1 = tan²x csc²x
Answer:
Step-by-step explanation:
it is D as
L.H.S.=sin²x sec²x+1
[tex]\frac{sin^2x}{cos^2x} +1\\=\frac{sin^2x+cos^2x}{cos^2x} \\=\frac{1}{cos^2x} \\=sec^2x[/tex]
again
[tex]R.H.S.=tan^2x csc^2x\\=\frac{sin^2x}{cos^2x} \times \frac{1}{sin^2x} \\=\frac{1}{cos^2x} \\=sec^2x[/tex]
L.H.S.=R.H.S.
The domestic price of shoes is $80. After trade the price of a pair of shoes is $60. After trade this country will import
The trade this country will import is given by the option (C) 300 pair of shoes.
The number of shoes exported will be calculated by the formula -
Import = quantity demanded - quantity supplied. The formula is based on the concept that the import of shoes will be carried out once the manufacturing is more than the demand.
The graph indicates the quantity demanded is 1000 and the quantity supplied is 1300. Keep the values in formula to find imports.
Imports = 1300 - 1000
Performing subtraction on Right Hand Side of the equation
Imports = 300
Hence, the import is 300.
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The complete question is attached in figure.
A motorist claims that the South Boro Police issue an average of 60 speeding tickets per day. These data show the number of speeding tickets issued each day for a randomly selected period of 30 days. Assume sigma = 13.42. Is there enough evidence to reject the motorists claim at alpha = 0.05 ? Use either the P-value Method or the Traditional Method. 72 45 36 68 69 71 57 60 83 26 60 72 58 87 48 59 60 56 64 68 42 57 57 58 63 49 73 75 42 63
According to a driver, the South Boro Police issue 60 speeding penalties on average each day. These numbers display the daily average number of speeding fines issued over a randomly chosen 30-day period. At alpha = 0.05, there is not enough data to disprove the motorists' assertion.
Traditional Method:
H0: μ = 60
H1: μ ≠ 60
n = 30
Sample mean = 58.9
Standard Deviation = 13.42
t-statistic = -1.85
Number of Degrees of Freedom = 30 - 1 = 29
α = 0.05
Critical t-value = ±2.045
Since -1.85 does not lie in the rejection region, we fail to reject the null hypothesis.
Therefore, there is not enough evidence to reject the motorists claim at alpha = 0.05.
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for each of the three plots, identify the strength of the relationship (e.g. weak, moderate, or strong) in the data and whether fitting a linear model would be reasonable.
These following answers are correct
We are given residual plots
In given(a) plot there is weak relationship between scatter points
we see curved relationship in this residual plot therefore model is unreasonable .
Note - This model is reasonable when this plot should look approximately normal and scatterplot of residuals should show random
scatter. In these plots we see weak relationship and line as model is unreasonable
2)We are given residual plot.
Given 2nd (c) plot there is strong relationship between scatter points we see positive straigh line relationship in this plot therefore model is resonable.
Also these model look approximately normal land scatterplot of residuals show random scatter.
In these plot we see strong relationship and linear model is reasonable
Therefore, these statements are correct.
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select the function that represents the simple interest formula
The function that represents the simple interest formula is A(n)=P+(n-1)i*P, where n is a positive integer. (Option D)
Simple interest refers to the method of calculating the amount of interest charged on a sum at a given rate and for a given period of time. It is given by the formula:
SI = Pin
Where SI is the interest amount, P is the principal amount, i is the interest rate, and n is the number of period.
So, for n-1 years, the simple interest is:
SI = P(n-1)*i
The total amount charged is given by
A(n) = P + SI
A(n) = P + (n-1)i*P
Note: The question is incomplete. The complete question probably is: Select the function that represents the simple interest formula. A. A(n)=(n-1)(P*i)^n, where n is any real number. B. A(n)=n+(P-1)i*P, where n is a positive integer. C. A(n)=P(1+i)^n-1, where n is any real number. D. A(n)=P+(n-1)i*P, where n is a positive integer
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(i) The Government has imported large quantities of sugar as per trade agreement with other countries.(ii) The prices of sugar in the domestic market have fallen sharply in the recent months.A. Statement I is the cause and statement II is its effectB. Statement II is the cause and statement I is its effectC. Both the statements I and II are independent causesD. Both the statements I and II are effects of independent causesE. Both the statements I and II are effects of some common cause
The correct option is: A
Statement I is the cause and statement II is the effects.
Since the Government has imported large quantities of sugar as per trade agreement with other countries, the prices of sugar in the domestic market have fallen sharply in the recent months.
The reason behind this statement is:
An increase in supply always leads to a decrease in price.
Supply : Supply is a fundamental economic concept that describes the total amount of a particular good or service available to consumers. Supply can refer to the quantity available at a particular price or the quantity available across the price range displayed on the chart. It is closely related to the demand for goods or services at a particular price. All else being equal, when prices rise, producer supply increases as all firms try to maximize their profits.
Increase in Supply:
If the demand does not change, there is an inverse relationship between the supply and price of goods and services. When the supply of goods and services increases at the same demand, prices tend to fall resulting in lower equilibrium prices and higher equilibrium quantities of goods and services. When the supply of goods and services decreases for the same demand, prices tend to rise towards higher equilibrium prices and smaller quantities of goods and services.
Since the supply of sugar increases as government has over imported, the price of sugar decreases in domestic market.
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Help me pls pls pls plspl splspls
The diameter of a quarter is about 1 in.
You trace around the edge of the quarter on a sheet of paper.
What is the area of the circle on the paper?
Use 3.14 as an approximation for π. Round your answer to the nearest tenth.
Answer: The area is going to be 0.8
Step-by-step explanation: The diameter is 1
You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.
After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14
3.14(0.5)^2= 0.785
you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.
So, the Area is 0.785 but after rounding it is 0.8.
Hope that helped :)
Which of the following are solutions to the inequality below? Select all that apply.
4>q/23
q = 138
q = 46
q = 69
q = 92
A truck was purchased for $188000 and it was estimated to have a $32000 salvage value at the end of its useful life. Monthly depreciation expense of $2600 was recorded using the straight-line method. The annual depreciation rate is a.16,60% b.6.67% c.20.00% d.1.67%.
Answer: 20%
Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200
Annual depreciation rate = Annual depreciation /Depreciable costs
= $31,200 / ($188,000 - $32,000)
= 20%
Suppose the probability of success on each of 6 independent trials of an experiment is 0.2. (Round your answers to four decimal places.) (a) What is the probability of 4 successes? (b) What is the probability of at least 1 success?
a) the probability of 4 success = 0.00629
b)the probability of at least 1 success = 1.5726
In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.
If the probability of occurrence of an event A is not affected by the occurrence of another event B, then A and B are said to be independent events.
given that
the probability of success on each of 6 independent trials of an experiment is 0.2.
a) the probability of 4 success
P(x=4) = 6[tex]C_{4}[/tex][tex](0.2)^{4}[/tex][tex](0.8)^{6}[/tex]
= 15×0.0016×0.2621
= 0.00629
b)the probability of at least 1 success
p(x≥1) = 1 - p(x<1)
= 1 - 6[tex]C_{0}[/tex][tex](0.6)^{0}[/tex][tex](0.8)^{6}[/tex]
= 1.5726
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Find the exact value of sec 30^0 - sin 45^0 + sin 90^0
The exact value of sec 30°- sin 45° + sin 90° is 1.45.
What is the trigonometric ratio?
The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively employed in all fields of geometry-related study, including geodesy, solid mechanics, celestial mechanics, and many others.
Here, we have
sec 30°- sin 45° + sin 90°
we have to find the exact value of the given expression,
sec 30° = 2/√3
sin 45° = 1/√2
sin 90° = 1
Put all values in the given expression, and we get
sec 30°- sin 45° + sin 90° = 2/√3 - 1/√2 + 1
sec 30°- sin 45° + sin 90° = 1.15 - 0.70 + 1
sec 30°- sin 45° + sin 90° = 1.45
Hence, the exact value of sec 30°- sin 45° + sin 90° is 1.45.
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A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles. In how many hours (at a constant speed)
The required time to travel 30 miles is given as 45 minutes and 3/4 hours.
Given that,
A car that travels 20 miles in 1/2 hour at constant speed is traveling at the same speed as a car that travels 30 miles.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Speed = Distance/time
Speed = 20 / [1/2]
Speed = 40 miles per hour,
Time = Distance / Speed
Time = 30 / 40
Time = 3 / 4 hour
Thus, the required time to travel 30 miles is given as 45 minutes and 3/4 hours.
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help meeeeeeeeeeeeee pleaseeeeeeeeeeeeeeeeeeeeeeeeee
Need help answer please.
By putting the values the solution to the given Algebraic Equation is 9
What is Algebraic Equation?
In mathematics, an algebraic expression is an expression composed of variables and constants as well as algebraic operations (addition, subtraction, etc.). Terms combine to form expressions.
Solution:
[tex]c^{2} - a + 2a / b[/tex]
a = -3, b = 2, c = 3
Putting the values
3*3 - (-3) + 2(-3) / 2
We will use BODMAS
3*3 + 3 - 6 / 2
3*3 + 3 - 3
9 + 3 - 3
12 - 3
9
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which of the following statement(s) is(are) a characteristic(s) of the normal distribution? it is symmetric. it has a bell shape. the values of the mean, median, and mode are equal.
Answer:
All of the three are correct characteristics.
Step-by-step explanation:
In a normal distribution, the following attributes are observed:
From the image, you can see symmetry and a bell-shaped distribution.
As you can see from the center-most point in the image, the mean, median, and mode are equal.
Therefore, all three characteristics are correct in a normal distribution.
What is the slope of 2y=6x+24
Each person in a random sample of adults was asked how many DVD, he or she wwned. Summary Statistics are given below Variable DVDs N 117 Mean 129.4 Median 50.0 TIMean 76.5 SE Mean StDev 3236 Variable DVDs Minimum 00 Maximum 3000.0 Q1 30.0 03 950 Which of the following statements is true? (A) Seventy-five percent of the adults in the sample own more than 95 DVDs. (B) Fifty percent of the adults in the sample own between 0 and 129.4 DVDs (C) The distribution of the number of DVDs owned appears to be approximately symmetric (D) The interquartile range of the number of DVDs owned is 65. (E) The distribution of the number of DVDs owned contains outliers on both the low side and the high side.
Hence, the option D "The interquartile range of the number of DVDs owned is 65" is correct.
In the given question, we have to in each person in a random sample of adults was asked how many DVD, he or she owned.
Summary Statistics are given below
Variable N Mean Median TiMean St Dev St Mean
DVDs 117 129.4 50.0 76.5 3236 29.2
Variable Minimum Maximum Q1 Q3
DVDs 00 3000 30.0 95.0
We have to which of the following statements is true?
(A) Seventy-five percent of the adults in the sample own more than 95 DVDs.
(B) Fifty percent of the adults in the sample own between 0 and 129.4 DVDs
(C) The distribution of the number of DVDs owned appears to be approximately symmetric
(D) The interquartile range of the number of DVDs owned is 65.
(E) The distribution of the number of DVDs owned contains outliers on both the low side and the high side.
Option (A) is incorrect because 95 is third quartile value and there is only 25% values above third quartile. So, statement is incorrect.
Option (B) is incorrect because 0 is minimum value and 129.4 is mean value. Percent between mean and minimum is not always fixed, so we cannot say that 50% of values are between 0 and 129.4. So, statement is incorrect.
Option (C) is incorrect because median and mean must be equal for symmetric curve, but these are not equal. So, it is not a symmetric curve.
Option (D) is correct because
IQR (Interquartile range)
IQR = Q3 - Q1
IQR = 95 - 30
IQR = 65.
So, option D is correct answer.
Option (E) is incorrect because
lower outlier limit = Q1-1.5*IQR
lower outlier limit = 30 - 1.5*65
lower outlier limit = -67.5
upper outlier limit = Q3 + 1.5*IQR
upper outlier limit = 95 + 1.5*65
upper outlier limit = 192.5
So, there is outliers only on upper side because maximum is 3000>192.5, but there is not value below 0.
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