The sum of the angle measures of a polygon with s sides is 2,340 degrees. Find s.thank you ! :)
Answers
SOLUTION:
Step 1:
In this question, we are given the following:
Step 2:
The details of the solution are as follows:
The sum of interior angles of a polygon is:
[tex]\begin{gathered} (s\text{ -2 \rparen x 180}^0=\text{ 2340}^0\text{ , where s = number of sides} \\ Divide\text{ both sides by 180}^0,\text{ we have that:} \\ s\text{ - 2 = 13} \\ s\text{ = 13 + 2} \\ s\text{ = 15} \\ \end{gathered}[/tex]CONCLUSION:
The final answer is:
[tex]s\text{ = 15}[/tex]
Related Questions
Practice Problems
1. Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels
22 meters in 10 seconds. Who was moving faster? Explain your reasoning
2. Here are the prices for cans of juice that are the same brand and the same size at
different stores. Which store offers the best deal? Explain your reasoning
Store X: 4 cans for $2.48
per can
Store Y: 5 cans for $3.00
Store Z: 59 cents
Topic B
3. Costs of homes can be very different in different parts of the United States.
1. A450-square-foot apartment in New York City costs $540,000. What is the
price per square foot? Explain or show your reasoning
2. A 2,100-square-foot home in Cheyenne, Wyoming, costs $110 per square
foot. How much does this home cost? Explain or show your reasoning
4. There are 33.8 fuld ounces in a liter. There are 128 fuid ounces in a galon. About
how many liters are in a gation?
A 2
B. 3
C. 4
D. 5
Is your estimate larger or smaller than the actual number of liters in a gallon? Explain
how you know.
-
Answers
Answer:
1. Mai was moving faster as she covered a greater distance in the same amount of time.
Speed = Distance
-----------
Time
2. The best deal is Store Z. We must divide to determine the price each business is charging for a single can in order to particularly choose the greatest deal.
For Store X, each can is $0.62
For Store Y, each can is $0.60
Store Z is the best deal due to how cheap each can of juice costs.
3 (Part 1) It costs $1,200 for each square foot. The cost of the apartment is $540,000 & the area of the apartment is 450 feet. You can divide 540,000 by 450 and you should get 1,200.
3 (Part 2) The home costs $231,000. You can use the two numbers in the question "2,100" and "110". You should get $231,000 after adding those two numbers.
4. Approximately 3.8 liters are in a gallon. 3.8 is closest to 4 so you can round it up to 4 liters.
Step-by-step explanation:
How much time will it take for these two vehicles to meet?
34 miles, 55mph, 30mph
Answers
The time for the two vehicle will meet is 0.4 hours .
How to find the time the two vehicles will meet?According to the diagram, the first car drive at a speed of 55 miles per hour and the second vehicles drives at a speed of 30 miles per hour.
The distance apart of the cars is 34 miles.
Speed is measured as the ratio of distance to the time in which the distance was covered.
In other words, speed is the distance travelled per unit of time.
speed = distance / time
Therefore,
distance = speed × time
Hence,
let
x = time use by the car
Therefore, the total distance can be express as follows:
55x + 30x = 34
85x = 34
divide both sides by 85
85x / 85 = 34 / 85
x = 0.4 hours.
Therefore, it will take 0.4 hours for the cars to meet.
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Write the equation of the line in y=mx+b form using the following two points:
(-2,-1) and (-1,-2)
Enter you equation here: type your answer....
10 points
Answers
Answer: The slope-intercept form for a line with the coordinates of (-2,-1) and (-1,-2) is:
y= -1.00x + -3.00
(results are in decimal form, rounded to the nearest 100th)
i hope i helped it is for if it was for like slope intercept form
Step-by-step explanation:
The headlights of an automobile are set such that the beam drops 2.00 in. for each 28.0 ft in front of the car. What is the angle between the beam and the
Road?
Answers
The most appropriate choice for trigonometry will be given by -
Angle between beam and road is 0.33°
What is Trigonometry?
Trigonometry shows the relationship between sides and angles of a right angled triangle.
There are six trigonometrical functions. They are [tex]sin\theta, cos\theta, tan\theta, cos\theta, sec\theta, cosec\theta[/tex]
[tex]sin\theta = \frac{perpendicular}{hypotenuse}\\\\cos\theta = \frac{base}{hypotenuse}\\\\tan\theta = \frac{perpendicular}{base}\\\\cot\theta = \frac{base}{perpendicular}\\\\sec\theta = \frac{hypotenuse}{base}\\\\cosec\theta = \frac{hypotenuse}{perpendicular}\\[/tex]
Trigonometry is a very important tool in mathematics.
Here,
The headlights of an automobile are set such that the beam drops 2.00 in. for each 28.0 ft in front of the car.
According to the figure attached here, 2.0 inch forms the height of the triangle and 28.0 ft forms the base of the triangle
Let the angle be [tex]\theta[/tex]. Now trigonometry is applied here
[tex]tan\theta = \frac{\frac{2}{12}}{28}\\tan\theta = \frac{1}{6 \times 28}\\tan\theta = \frac{1}{168}\\\theta = tan^{-1}\frac{1}{168}\\\theta = 0.33^{\circ}[/tex]
Angle between beam and road is 0.33°
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Sal elrove 3000 miles in 75 hours. At this rate how long will it take to drive 4000 miles
Answers
Answer:
Step-by-step explanation:
First, we need to find the rate. miles/hours. 3000/75 = 40mph (miles per hour). to find the answer we need to divide the rate by the distance they want us to find. to see a deeper explanation of why scroll past the answer. 4000/40 = 100 hours.
deeper explanation:
we can set the numbers given to us equal to what we are looking for.
miles/hour
3000/75 = 4000/x x being the time we are looking for
cross multiply 3000x=300000
divide by 3000 x=100 hours
Describe the end behavior of the graph of the following polynomial function:
Answers
We will have the following:
From the polynomial we will have that:
*It falls to the left and rises to the right.
This can be seeing as follows:
Which of the following statements are not true regarding functions?Check all that apply.A. A function is a relation in which each value of the input variable ispaired with at least one value of the output variable.I B. The vertical line test may be used to determine whether afunction is one-to-one.O C. A sequence is a function whose domain is the set of naturalnumbers.D D. The horizontal line test may be used to determine whether afunction is one-to-one.
Answers
Only B is not true, because the vertical line test is to know if a graph is from a function.
can someone help me really quick
Answers
If the price of apples are proportional, the value of p is $6.75.
What is the value of p?If the relationship between the price of apples and the number of apples bought are proportional, it means that as the number of apples bought increases, the price paid would increase.
The function that represents the cost of purchasing apples is:
Total cost = cost per apple x number of apples bought
$4.50 = 6c
c = $4.50 / 6
c = $0.75
The price of 9 apples is p
p = 9 x $0.95
p = $6.75
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A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. price of 9 apples is $6.75.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
We need to find the value of p.
For 6 Apples the price is $4.5
We need to find for 9 apples.
For 9 apples the price is p, which we have to find
Let us form a equation to find it.
6/4.50=9/p
Apply cross multiplication
6p=4.5(9)
6p=40.5
Divide both sides by 6
p=6.75
Hence price of 9 apples is $6.75.
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In a given year, residents of a country spent approximately $52.9 billion on their pets. Of this amount, $17.3 billion was for veterinarian bills. What percent of the total was spent on veterinary cave?About ...% of the total was spent on veterinary care.
Answers
32.7 %
Explanation
we can easily solve this by using a rule of three
Step 1
Let x represents the percent of the total that was spent on veterinary
[tex]\begin{gathered} \text{ \$ 52.9 billions}\rightarrow100\text{ percent} \\ \text{ \$ 17.3 billons}\rightarrow x\text{ percent} \end{gathered}[/tex]
the ratios are equal , so we have a proportion
[tex]\frac{52.9}{100}=\frac{17.3}{x}[/tex]Step 2
solve the equation
[tex]\begin{gathered} \frac{52.9}{100}=\frac{17.3}{x} \\ \text{cross multiply} \\ 52.9x\cdot17.3\cdot100 \\ 52.9x=1730 \\ \text{divide both sides by 52.9} \\ \frac{52.9x}{52.9}=\frac{1730}{52.9}=32.7 \\ x=32.7 \\ \\ \end{gathered}[/tex]so, the answer is
About 32.7% of the total was spent on veterinary care.
I hope this helps you
bradley consumes an energy drink that contains caffeine. after consuming the energy drink, the amount of caffeine in bradley's body decreases exponentially. the 10-hour decay factor for the number of mg of caffeine in bradley's body is 0.2722. what is the 5-hour growth/decay factor for the number of mg of caffeine in bradley's body?
Answers
The 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521
In mathematics, the term "exponential decay" refers to the process of a constant percentage rate decline in a value over time. Exponential decay differs from linear decay in that the decay factor depends on a percentage of the initial sum, meaning that the amount by which the original sum may be lowered will fluctuate over time as opposed to a linear function, which reduces the original sum by the same amount each time.
Given,
10 hour decay factor = 0.2722
Let us calculate the one-hour decay factor first,
One-hour decay factor = (10 hour decay factor)^1/10 = (0.2722)^1/10 = 0.8779
Now, Calculating the 5-hour decay factor,
5 hour decay factor = ( 1 hour decay factor )^5 = (0.8779)^5 = 0.521
Hence, the 5-hour growth/decay factor for the number of mg of caffeine in Bradley's body is 0.521
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WILL GIVE BRAINLIEST PLS HELP
Passed exam | Did not pass exam | Row Totals
Completed exam review | 55% | 10% | 65%
Did not complete exam review | 20% | 15% | 35%
Column Totals | 75% | 25% | 100%
Part A: What is the percentage of students who failed the exam, given that they completed the exam review? Round to the nearest percentage. (2 points)
Part B: What is the percentage of students who failed the exam, given that they did not complete the exam review? Round to the nearest percentage. (2 points)
Part C: Is there an association between failing the exam and completing the exam review? Justify your answer. (2 points)
Answers
Answer:
A: 15%
B: 43%
C: yes
Step-by-step explanation:
You want the percentages of students who failed the exam, given that they (A) did, or (B) did not complete the exam review. You also want to know if this indicates an association between failing and reviewing.
NotationLet F represent the event "failed the exam." Let R represent the event "completed the exam review." R' will be the event "did not complete the review."
A: P(F|R)The probability is ...
P(F|R) = P(F&R) / P(R)
P(F|R) = 0.10/0.65 = 2/13 ≈ 15%
About 15% failed who completed the review.
B: P(F|R')P(F|R') = P(F&R') / P(R')
P(F|R') = 0.15/0.35 = 3/7 ≈ 43%
About 43% failed who did not complete the review.
C: AssociationIf the events "Failed the exam" and "Completed the review" were independent, then the probability of one would not be conditional upon the other. Here, the probability of failing is clearly different for those who completed the review, so there is an association between failing the exam and completing the exam review.
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Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,6) and perpendicular to 3 x + 7y = 1.a) The equation of the line in slope-intercept form is enter your response here
Answers
The equation
[tex]3x+7y=1[/tex][tex]7y=-3x+1[/tex][tex]y=\frac{-3x}{7}+\frac{1}{7}[/tex]has slope -3/7.
The product of perpendicular lines must be -1, so the slope of the new equation must be:
[tex]m\cdot-\frac{3}{7}=-1[/tex][tex]m=\frac{-1\cdot7}{-3}=\frac{7}{3}[/tex]The line with that slope and that passes throught (1,6) is:
[tex](y-6)=m(x-1)[/tex][tex](y-6)=\frac{7}{3}(x-1)[/tex][tex]y-6=\frac{7}{3}x-\frac{7}{3}[/tex][tex]y=\frac{7}{3}x-\frac{7}{3}+6[/tex][tex]y=\frac{7}{3}x-\frac{7}{3}+\frac{18}{3}[/tex][tex]y=\frac{7}{3}x+\frac{11}{3}[/tex]The following graph shows both equations:
[tex]y=\frac{7}{3}x+\frac{11}{3}[/tex][tex]3\cdot y=(\frac{7}{3}x+\frac{11}{3})\cdot3[/tex][tex]3y=7x+11[/tex][tex]-7x+3y=11[/tex]With the exception of column one, all amounts are in dollars. What is starting principal of the loan? Give your answer in dollars to the nearest dollar. Do not include commas or the dollar sign in your answer.
Answers
SOLUTION
First let us get the monthly rate
This can be gotten using the formula
[tex]P\times\frac{r}{12}=i[/tex]Where P is principal,
r is the percent interet rate per year, so to get monthly interest is divide by 12
i is the monthly interet.
Using column 1 to determine the rate, we have
[tex]\begin{gathered} P\times\frac{r}{12}=i \\ 149,783.55\times\frac{r}{12\times100}=748.92 \\ \frac{149,783.55r}{1200}=748.92 \\ r=\frac{1200\times748.92}{149,783.55} \\ r=6\text{ percent} \end{gathered}[/tex]Now, the interest rate r = 6%
The starting principal becomes
[tex]\begin{gathered} P\times\frac{6}{12\times100}=750 \\ \frac{6P}{1200}=750 \\ P=\frac{750\times1200}{6} \\ P=150000\text{ dollars } \end{gathered}[/tex]Therfore, the answer is 150000 dollars
Order of Operations
If you do not use the proper order of operations, you will not get
the correct answer.
Write which operation should be done first.
1.6 + 3 × 2
2.13 – 1 + 4 ÷ 2
3.5 × (7 – 2) + 1
4.(19 + 23) – (4 × 5)
For questions 5 through 8, evaluate the expression for x = 6 and y = 17.
5.4x + 5y
6.12x + (20 – y)
7.x ÷ 3 + y
8.4y ÷ 2 + (8x + 10)
9.Patty made $34 baby sitting on each of 3 weekends. If she spent $50 on gifts
for her family, how much money does she have left?
10.Carlos solved 20 – (2 × 6) + 8 ÷ 4 = 29. Is this the correct answer?
Answers
To answer this question, we need to apply the rules of "PEMDAS".
Thus:
- we first deal with the numbers in the "Parentheses" or brackets
- then we perform the "Multiplication" operation
- and then we perform the "Subtraction" operation
This is done as follows:
[tex]6\times14-(9+8)\times2[/tex]- by dealing with the numbers in the parentheses, we get:
[tex]6\times14-(17)\times2[/tex]- now, by dealing with the multiplication, we have:
[tex]84-34[/tex]- finally, we deal with the subtraction, as follows:
[tex]50[/tex]3. The following are the sizes in square feet of the seventeen new faculty office in the mathematics department at a college.102123142155104185159124154136113110107119120127155Find the mean square footage. Round your answer to the nearest tenth, if necessary. square feetFind the median square footage. square feet
Answers
Given a sample of the size, measured in square feet, of 17 faculty offices.
1) Mean
To calculate the mean of the sample you have to add all observations of the data set and divide it by the sample size:
[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex][tex]\begin{gathered} \bar{x}=\frac{102+123+142+155+104+185+159+124+154+136+113+110+107+119+120+127+155}{17} \\ \bar{x}=\frac{2235}{17} \\ \bar{x}=131.47\approx131.5ft^2 \end{gathered}[/tex]The mean square footage is 131.5 ft²
2) Median
To determine the median of the data set, first, you have to calculate the position of the median, following the formula:
[tex]\text{PosMe}=\frac{(n+1)}{2}[/tex]The sample size is n=17, then the position of the median is
[tex]\begin{gathered} \text{PosMe}=\frac{17+1}{2} \\ \text{PosMe}=\frac{18}{2} \\ \text{PosMe}=9 \end{gathered}[/tex]The median corresponds to the ninth observation of the data set.
Next, you have to order the data set from least to greatest:
102, 104, 107, 110, 113, 119, 120, 123, 124, 127, 136, 142, 154, 155, 155, 159, 185
Count the ninth observation from the left.
The median of the data set is Me= 124 ft²
devon has 15 dollars to spend on snacks. the corner store has candy bars for $1 and sports drinks for $3. he only wants to purchase at most 10 items.
Answers
Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend.
According to the question,
We have the following information:
Devon has $15.
Cost of 1 candy bar = $1
Cost of 1 sports drink = $3
Devon wants to purchase at most 10 items.
It means that the total items should be less than or equal to 10.
Now, we have to spend $15 in such a way that number of items should be less than or equal to 10.
Now, we will look for the number of items for sports drink and change the number of candy bars accordingly.
Let's take 1 sports drink:
$3
We are left with $12. Now, there will be 12 candy bars.
So, this can not satisfy our conditions.
Let's take 2 sports drink:
$6
We are left $9. Now, there will be 9 candy bars. And the number of items is 11.
(This is not satisfying our condition.)
Let's take 3 sports drink:
$9
We are left with $6. Now, there will be 6 candy bars. And the number of items is 9.
This is satisfying all the conditions.
Hence, Devon can have 6 candy bars and 3 sports drinks when he has $15 to spend on snacks.
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Write an explicit formula for an, the nth term of the sequence
64, -16, 4,....
Answers
The formula for the given arithmetic series for the term aₙ will be aₙ=a₁+(n-1)d.
What is arithmetic series?An arithmetic series is the sum of a sequence like 2,..., where each term is calculated by adding (or subtracting) a constant from the previous one. An ordered group of numbers with a shared difference between each succeeding term is known as an arithmetic sequence. For instance, the common difference in the arithmetic series 3, 9, 15, 21, and 27 is 6.So, the possible sequence of -64, -16, 4:
We can notice the sequence as -(4³), -(4²), 4, 4², 4³.So, the formula for the aₙ term will be:
aₙ = a₁ + (n - 1)dTherefore, the formula for the given arithmetic series for the term aₙ will be aₙ = a₁ + (n - 1)d.
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The correct question is given below:
Write an explicit formula for an, the nth term of the sequence
-64, -16, 4,....
What is x and y and how do I solve for it in the future?
Answers
The values of x and y in the triangle are 15 and 88 degrees.
How to find the angles of a triangle?A triangle is a polygon with 3 sides. The sum of angles in a triangle is 180 degrees.
A triangle can be classified base on its sides and angles as equilateral triangle, isosceles triangle and scalene triangles.
An equilateral triangle has three of its sides and angles equal to each other.
An isosceles triangle has 2 sides and angles equal to each other.
A scalene triangle has no sides equal to each other.
Therefore,
The other triangle on the left side is an equilateral triangle.
Therefore, all it sides and angles are equal.
Hence, each angle of the triangle is 60 degrees.
A traversal line cut across the sides of the parallel lines of the triangles formed.
Therefore,
60° = 4x
x = 60 / 4
x = 15
Therefore,
60 + y + 32 = 180(sum of angles in a triangle)
y = 180 - 92
y = 88°
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The sum of three consecutive even integers is 20 less than four times the
first. What are the integers?
Answers
The most appropriate choice for linear equation will be given by -
The integers are 26, 28, 30
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here,
Let the integers be x - 2, x, x + 2
Sum = x - 2 + x + x + 2 = 3x
20 less than Four times the first = 4(x - 2) - 20
By the problem,
[tex]3x = 4(x - 2) -20\\3x = 4x - 8 -20\\4x - 3x = 28\\x = 28[/tex]
The integers are 28 - 2, 28, 28 + 2
The integers are 26, 28, 30
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please help to find the value of x and explain how to get it in simple terms.
Answers
SOLUTION
From the image above
[tex]\begin{gathered} z^2=6^2+3^2\ldots\text{ by pythagora's rule } \\ z^2=36+9 \\ z^2=45 \\ z=\sqrt[]{45} \end{gathered}[/tex]Considering the bigger right angle triangle,
[tex](3+x)^2=y^2+45[/tex]We can obtain the expression of y from the smaller right angle triangle,
Using pythagora's rule, we have
[tex]y^2=6^2+x^2[/tex]Then, recall
[tex](3+x)^2=y^2+45[/tex]Substite the expression for y², we have
[tex](3+x)^2=6^2+x^2+45[/tex]Expand the paranthesis, we have
[tex]\begin{gathered} 9+6x+x^2=x^2+36+45 \\ \text{Subtract x}^2from\text{ both sides } \\ 9+6x=36+45 \\ \end{gathered}[/tex]subtract 9 from both sides, we have
[tex]\begin{gathered} 6x+9-9=81-9 \\ 6x=72 \end{gathered}[/tex]Divide both sides by 6, we obtain
[tex]\begin{gathered} \frac{6x}{6}=\frac{72}{6} \\ \text{Then} \\ x=12 \end{gathered}[/tex]Therefore
Answer: x= 12
juan went out to eat dnner,and the meal cost $60.00.If juan recived a 18% discount,what was the total value of the discount
Answers
Multiply by the decimal form of the percentage,
60 * 0.18 = 1.08
So the discount is for $1.08 off,
60 - 1.08 = 58.92
Giving a total of $58.92 after the discount is applied
A pet boarder keeps a dog-to-cat ratio of 5:2. If the boarder has room for 98 animals, then how many of them can be dogs in a ratio
Answers
Answer:We have 70 dogs
Step-by-step explanation:
dogs: cats: total5 2 7We want 98 animals98/7 =14We need to multiply each number by 14dogs: cats: total…
hope this helps
The ratio between Siu's height and the height of her brother Tai is 5:6. If
Tai is 145 cm tall, how tall is Siu, to the nearest centimetre?
Answers
With the concepts of ratio, Siu's height is 121 cm tall.
What is a ratio?We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part-to-whole ratio, and the other is the part to part ratio. The link between two distinct entities or groupings is depicted by the part-to-part ratio.
A ratio is a comparison between two amounts that often uses a fraction.
Considering that the fraction has been simplified,
Given that Siu's height is 5x
Tai's height is 6x.
Now, 6x= 145
Thus, x= 145/6
Now, Siu's height is 5x
Then, its height is (145 ×5)/6= 120.8 cm
Siu's height is 121 cm because it must be rounded to the closest centimeter.
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due wensday but prefered be done now
Answers
The correct statement about the function is the y-intercept is (0.71), and 71 represents the starting temperature.
What is the y-intercept?
A graph can be described as a pictorial representation of data. A graph has a y-axis and a x-axis. The x-axis in this question represents time and the y-axis is the temperature.
The function shown in the graph is a linear function. This is because the curve is a straight line. The y-intercept is the point where the line crosses the y-axis. The y-intercept is the value of the data set when x is zero. The y-intercept represents the initial temperature or the starting temperature.
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this sentence is false
Answers
Answer: what sentence ?
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The sentence is true because if it is true, then the sentence is false.
You are asking if the sentence is false, and it is false, so the question you asked is true.
This is so confusing though...
1/2 (7/10-3/5) + -1.9
Answers
Answer: -1 17/20
Step-by-step explanation: use order of operations to solve, parenthesis, multiplication, addition/subtraction
Solve the inequality b+ 5 ≥ -12
Answers
The solution of the inequality is b ≥ -17.
Given inequality:-
b + 5 ≥ -12
We have to find the solution of the inequality.
Subtracting 5 from the given inequality, we get
b + 5 - 5 ≥ -12 - 5
b + (5 - 5) ≥ -17
b + 0 ≥ -17
b ≥ -17
Hence, b can be equal to or greater than -17.
Inequality
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
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How is 6 divided by (-3) equals -2
Answers
Since a positive number divide or multiplies a negative number
Then the answer will be a negative number
So:
6 / -3 = -2
6 is a positive number and it's being divide by -3 which is a negative number
So the answer is -2
overbooking flights is a common practice of most airlines. a particular airline, believing that 4% of passengers fail to show for flights, overbooks (sells more tickets than there are seats). suppose that for a particular flight involving a jumbo-jet with 267 seats, the airline sells 278 tickets. question 1. what is the expected number of ticket holders that will fail to show for the flight? (use 2 decimal place in your answer.) question 2. what is the probability that the airline will not have enough seats for all the ticket holders who show for the flight? (use 3 decimal places.)
Answers
1. 3.2673 is the expected number of ticket holders that will fail to show for the flight.
2. 0.425 is the probability that the airline will not have enough seats for all the ticket holders who show for the flight.
P(airline will not have enough seats for all the ticket holders who show for the flight) = P(more than 267 people show up for the flight)
p = P(will show for flight) = 1 - 0.04 = 0.96
n = 278
µ = n * p = 278 * 0.96 = 266.88
σ = [tex]\sqrt{ n*p* (1 - p)} = \sqrt{278 * 0.96 * 0.04} = 3.2673[/tex]
P(X > 267) = P(X > 267.5)
p(x- µ) / σ > 267.5- µ /σ
= P(Z> 267.5 – 266.88/ 3.2673 )
= P(Z > 0.19)
= 0.425.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. To understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.
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is there a right triangle in which two side lengths are simple fractions (ratios of integers such as 2/7 or 2/3), and the other side length is an integer?
Answers
Yes , there can be a Right triangle with two side lengths as simple fraction and other side length as an integer .
In the question ,
we have to find , whether a Right Triangle can be made by two fractions and an integer length .
yes, we can make a Right Triangle with two lengths as fractions and other length as integer .
let us prove it with the help of an example .
Consider the triplet 7 , 24 , 25 .
let the two fractions side be 7/25 and 24/25 , and the hypotnuse of the right triangle be 1 .
We know that for the Right Triangle
(side1)² + (side2)² = hypotnuse²
(7/25)² + (24/25)² = 1²
49/625 + 576/625 = 1
(49+576) / 625 =1
625/625 = 1
1 = 1
hence ,it is a Right Triangle .
Therefore , Yes , there can be a Right triangle with two side lengths as simple fraction s and other side length as an integer .
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