**NEEDS TO BE ANSWERED ASAP**
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.
The following table contains data from a study of two airlines which fly to Small Town, USA.
If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight which was on time.
a. 43/87
b. 43/76
c. 43/48
d. 11/76
Answers
Answer: a. [tex]\dfrac{43}{87}[/tex]
Step-by-step explanation:
From the given table , it can be seen that the total number of flights are given : 43+33+6+5=87
Also, the the number of Upstate Airlines flights on time = 43
Now if one of the 87 flights is randomly selected, the probability that the flight selected is an Upstate Airlines flight which was on time will be :-
[tex]\dfrac{\text{Number of Upstate Airlines flight on time}}{\text{Total flight}}\\\\=\dfrac{43}{87}[/tex]
Hence, the probability that the flight selected is an Upstate Airlines flight which was on time [tex]=\dfrac{43}{87}[/tex]
Related Questions
Ava wants to wash one load of laundry at a local laundromat. At laundromat A, it costs $6.35 to wash and $1.25 to dry one load of laundry. At laundromat B, it costs $5.95 to wash and $0.85 to dry one load of laundry. Which laundromat has the better price for doing one load of laundry, and by how much?
Answers
Laundromat A = 6.35 +1.25 = 7.60 for one load
Laundromat B = 5.95 +0.85 = 6.80 for one load
7.60-6.80 = 0.80
Laundromat B is has the better price by 0.80 cents
The table below shows the number of marbles of different colors in a bag: Color of Marbles Number of Marbles Pink 5 Blue 2 Green 3 Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing green marbles in both the trials? plz help!!!!
Answers
A square with an area of 169 cm^2 is rotated to form a cylinder. What is the height of the cylinder?
Answers
Answer:
13 cm
Step-by-step explanation:
Area of the square is [tex]169 \:\:cm^{2}[/tex]
The square is rotated to form a cylinder. Now, we first need to find the side of the square, the cylinder is formed by rotating along its side.
Now area of square [tex]169 \:\:cm^{2}[/tex]
We know that area of square is [tex]\text{side}\times\text{side}[/tex]
So, [tex]\text{side}\times\text{side}=169[/tex]
[tex]\text{side}\times \text{side}=13\times13[/tex]
[tex]\text{side}=13 \:\text{cm}[/tex]
Now, as the cylinder is formed by rotating along its length, and we know that all the sides of a square is equal.
So, one side becomes the height of the cylinder and the other becomes the circumference.
Hence, the height of the cylinder is 13 cm.
Simplifying expressions with exponents
Answers
What is the largest possible value of y, if y = - | 3 - x | + 5
Answers
So |3-x| is always positive or 0, thus -|3-x| is always negative or 0.
Since we want the largest value of - | 3 - x | + 5, we must keep - | 3 - x | as large as possible, that is, we must keep | 3 - x | as small as possible.
The smallest possible value of | 3 - x | is 0. This happens for x=3.
The largest possible value of y = - | 3 - x | + 5 = 0+5 =5
Answer: 5
Aurora earns a salary of $25,000 per year. Her benefits are equal in value to 30 percent of her salary. What is the value of Aurora's benefits?
Answers
Value of Aurora's benefits as 30percent of her salary is equals to $7500.
What is percentage?" Percentage is defined as the hundredth part of the given whole number."
According to the question,
Salary amount of Aurora = $25,000
Benefit value = 30 percent of ( $25,000)
Therefore,
30 percent of ( $25,000) = 30% of 25,000
= [tex]\frac{(30) * (25,000)}{100}[/tex]
= $7,500
Hence, value of Aurora's benefits as 30percent of her salary is equals to $7500.
Learn more about percentage here
https://brainly.com/question/13450942
#SPJ2
Which expression is equivalent to the given expression? 100pts giveaway 3x(1.05) 3x + 3x + 3x 1.05x + 1.05x + 1.05x x + 3.15 1.05x + 3
Answers
i am not sure but they may be right
Btw you know it shows how many points your giving for the question
What are the orders of 3,7,9,11,13,17 and 19(mod20)?does 20 have primitive roots?
Answers
[tex]3^2\equiv9\mod{20}[/tex]
[tex]3^3\equiv27\equiv7\mod{20}[/tex]
[tex]3^4\equiv3\cdot3^3\equiv3\cdot7\equiv21\equiv1\mod{20}[/tex]
[tex]7\equiv7\mod{20}[/tex]
[tex]7^2\equiv49\equiv9\mod{20}[/tex]
[tex]7^3\equiv7\cdot7^2\equiv63\equiv3\mod{20}[/tex]
[tex]7^4\equiv7\cdot7^3\equiv21\equiv1\mod{20}[/tex]
[tex]9\equiv9\mod{20}[/tex]
[tex]9^2\equiv3^4\equiv1\mod{20}[/tex]
[tex]11\equiv11\mod{20}[/tex]
[tex]11^2\equiv121\equiv1\mod{20}[/tex]
[tex]13\equiv-7\equiv13\mod{20}[/tex]
[tex]13^2\equiv169\equiv9\mod{20}[/tex]
[tex]13^3\equiv13\cdot13^2\equiv(-7)9\equiv-63\equiv-3\mod{20}[/tex]
[tex]13^4\equiv13\cdot13^3\equiv(-7)(-3)\equiv21\equiv1\mod{20}[/tex]
[tex]17\equiv-3\equiv17\mod{20}[/tex]
[tex]17^2\equiv(-3)^2\equiv9\mod{20}[/tex]
[tex]17^3\equiv(-3)^3\equiv-27\equiv3\mod{20}[/tex]
[tex]17^4\equiv(-3)^4\equiv81\equiv1\mod{20}[/tex]
[tex]19\equiv-1\equiv19\mod{20}[/tex]
[tex]19^2\equiv19(-1)\equiv-19\equiv1\mod{20}[/tex]
Generally speaking, a number [tex]x[/tex] coprime to [tex]n[/tex] will be a primitive root of [tex]n[/tex] if we have [tex]x^n\equiv x\mod{n}[/tex], or [tex]x^{n-1}\equiv1\mod{n}[/tex]. In other words, if [tex]x[/tex] is of order [tex]n-1[/tex] modulo [tex]n[/tex], then [tex]x[/tex] is a primitive root of [tex]n[/tex].
Since none of these numbers has order 19, it follows that 20 does not have any primitive roots.
How do you change a ratio into a fraction baseballs to basketballs
Answers
if that's what you mean.
Divide the decimal numbers 12.012÷6
Answers
Hope this helps!
Find all values of c such that f is continuous on (-∞, ∞). $ f(x) = \left\{ \begin{array}{lcl} {\color{red}5} - x^{2}, & & x \le c \\ x, & & x > c \end{array}\right. $
Answers
will be continuous as long as
[tex]\displaystyle\lim_{x\to c^-}f(x)=\lim_{x\to c^+}f(x)=f(c)[/tex]
We have
[tex]\displaystyle\lim_{x\to c^-}f(x)=\lim_{x\to c}(5-x^2)=5-c^2[/tex]
[tex]\displaystyle\lim_{x\to c^+}f(x)=\lim_{x\to c}x=c[/tex]
so we must satisfy
[tex]5-c^2=c\implies c^2+c-5=0\implies c=\dfrac{-1\pm\sqrt{21}}2[/tex]
The values of c such that the function f is continuous are: c = -2.79 and c = 1.79
The function is given as:
[tex]f(x) = \left\{ \begin{array}{lcl} {5} - x^{2}, & & x \le c \\ x, & & x > c \end{array}\right.[/tex]
For the function to be continuous, then the following must be true
[tex]5 - x^2 = x[/tex]
Substitute c for x
[tex]5 - c^2 = c[/tex]
Express as a quadratic function
[tex]c^2 + c - 5 = 0[/tex]
Using a graphing calculator, the values of c are:
c = -2.79 and c = 1.79
Read more about continuous functions at:
https://brainly.com/question/9412728
The directions for mixing an insect spray say to use 1 1/2 ounces of chemical in each gallon of water. How many ounces of chemical should be mixed with 3 4/5 gallons of water? First, estimate the answer to the application problem. Then find the exact answer.
Answers
Total required for 3 4/5 gal is the product of 1 1/2 and 3 4/5, which is approximately 4*1 1/2 = 6 oz.
Exact answer
1 1/2 * 3 4/5
=3/2 * 19/5
=57/10
=5.7 oz
[tex]\bf 3\cdot 19=2x\cdot 5\implies 57=10x\implies \cfrac{57}{10}=x\implies \boxed{5\frac{7}{10}=x} \\\\\\ \cfrac{5\cdot 10+7}{10}\implies \cfrac{57}{10}[/tex]
Can anyone please solve the attached file?
Answers
[tex] A= \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] [/tex]
A given vector is of the form [a b c]'.
If a given vector {x} is an eigenvector of A, then
[tex]det \left[\begin{array}{ccc}1-a&2&3\\4&5-b&6\\7&8&9-c\end{array}\right] =0[/tex]
Test the vector x₁ = [1 -2 1]'
[tex]det \left[\begin{array}{ccc}0&2&3\\4&7&6\\7&8&8\end{array}\right] =-2(32-42)+3(32-49)=-31[/tex]
This is not an eigenvector because the determinant is not zero.
Test x₂ = [-1 0 1]'
[tex] det \left[\begin{array}{ccc}2&2&3\\4&5&6\\7&8&8\end{array}\right] =2(40-48)-2(32-42)+3(32-35)=-5[/tex]
This is not an eigenvector because the determinant is not ero.
Test x₃ = [0 0 0]'
[tex]det \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] =(45-48)-2(36-42)+3(32-35)=0[/tex]
This vector is an eigevector because the determinant is zero.
Answer:
The eigenvector is x₃
can someone explain to me multi step algebra equations? 15 points Thaaaanks~
Answers
Final answer:
Multi-step algebra equations involve operations like addition, subtraction, multiplication, or division to solve for an unknown. These equations require simplifying terms, solving for unknowns, and checking the answers. Money examples and practice statements are useful for understanding these concepts.
Explanation:
Multi-step algebra equations are problems that require more than one operation, such as addition, subtraction, multiplication, or division, to solve for the unknown variable. The following steps are typically involved in solving these equations:
Eliminate terms wherever possible to simplify the algebra. This might involve combining like terms or canceling out terms on both sides of the equation.Solve the simultaneous equations for the unknowns. This can be done through methods such as substitution or elimination when dealing with more than one equation.Check the answer to ensure it fits the original equation. Substituting the solution back into the original equation can verify its correctness.An example of this process could be the following scenario: You are given two equations in a word problem involving motion, one equation for velocity and another for time. To find the distance traveled, you would identify the known variables and the unknown variable (in this case, distance), simplify both equations as much as possible, and then combine them to solve for distance.
Money examples are often used for educational purposes because they provide a familiar context for understanding mathematical principles, making them easier to grasp. Additionally, practicing with state-ments, such as covering up a number to solve for it with the remaining information, can help build problem-solving skills.
Jane noticed as she was doing her morning run that a 12 m flagpole cast a 18 m shadow. A tree was casting a 36 m shadow. The tree was __? ___ m tall.
Answers
Simplify the expression by using a double-angle formula. 2 cos^2 4 theta -1
Answers
Apply the double angle of the cosine function
cos2θ = 2cos² θ - 1
Rearranging the expression and then substituting them
2cos² θ = cos2θ + 1
2cos² (4θ - 1) = cos 2(4θ - 1) + 1
cos2(4θ - 1) + 1
The distribution of the number of occurrences of the letter t on the pages of a book is found to be a normal distribution with a mean of 44 and a standard deviation of 18. If there are 500 pages in the book, which sentence most closely summarizes the data?
Answers
A. The letter t occurs less than 26 times on approximately 170 of these pages.
B. The letter t occurs less than 26 times on approximately 15 of these pages.
C. The letter t occurs more than 26 times on approximately 420 of these pages.
D. The letter t occurs more than 26 times on approximately 80 of these pages.
.Answer:
mean = 44
sd = 18
that means that "26" is 1 s.d. down, or at the 16th %ile
so, there is a .16 chance that "t" will occur less than 26 times on any single page.
consequently, there is a .84 chance that it will occur more than 26 times on any single page.
Using that information, and knowing that 16% of 500 is 80, and 84% of 500 is 420, can you see where "C" is correct?
The data represents a normal distribution where approximately 68 percent of the pages will have a number of occurrences of the letter t within one standard deviation of the mean, 95 percent within two standard deviations, and more than 99 percent within three standard deviations.
Explanation:The sentence that most closely summarizes the data is: For data having a distribution that is bell-shaped and symmetric, the following are true:
Approximately 68 percent of the data is within one standard deviation of the mean.Approximately 95 percent of the data is within two standard deviations of the mean.More than 99 percent of the data is within three standard deviations of the mean. This is known as the Empirical Rule.Using this information, we can conclude that approximately 68 percent of the pages in the book will have a number of occurrences of the letter t within one standard deviation of the mean, which is 44. Approximately 95 percent of the pages will have a number of occurrences within two standard deviations, and more than 99 percent will have a number of occurrences within three standard deviations.
Learn more about Normal Distribution here:https://brainly.com/question/30390016
#SPJ13
14. Simplify (4x^– 4)^– 3.
Answers
what's 6 3/4 divided by 1 7/8
Answers
= 27/4 divided by 15/8
= 27/4 x 8/15
= 18/5
= 3 3/5
The value of 6 (3/4) divided by 1 (7/8) is 3 (3/5).
What is a fraction?A fraction is a part of the whole represented by a/b, where a and b are any integers
The given numbers are 6 (3/4) and 1 (7/8).
Simplify the mixed fractions:
6(3/4) = 27/4 and 1 (7/8) = 15/8
Now, divide 27/4 by 15/8:
27/4 ÷ 15/8
= 27/4 × 8/15
= 18/5
= 3 (3/5)
Hence, The value of 6 (3/4) divided by 1 (7/8) is 3 (3/5).
Learn more on fractions here:
brainly.com/question/10354322
#SPJ3
The price of a calculator dropped from $32.88 to $25.95. What was the percent decrease in price
Answers
%change=100(25.95-32.88)/32.88
%change≈ -21.08%
So the percent decrease in price was about 21%
well, if we take the 32.88 to be the 100%, how much is 6.93 off of it in percentage?
[tex]\bf \begin{array}{ccllll} amount&\%\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 32.88&100\\ 6.93&x \end{array}\implies \cfrac{32.88}{6.93}=\cfrac{100}{x}[/tex]
solve for "x".
EASY 5 POINTS!!!!! You have a 1-gallon paint can in the shape of a cylinder. One gallon is 231 cubic inches. The radius of the can is 3 inches. What is the approximate height of the paint can? Use 3.14 for pi.
A.) 5 inches
B.) 25 inches
C.) 8 inches
D.) 26 inches
Answers
Also : r = 3 in.
The volume of a cylinder: V = r² π h
231 = 3³ · 3.14 · h
231 = 9 · 3.14 · h
231 = 28.26 h
h = 231 : 28.26
h = 8.17 ≈ 8 in
Answer: C) 8 in.
Answer:
The height of the cylinder shaped can = 8.17 inches
Step-by-step explanation:
Volume of the cylinder shaped can = 1 gallon
1 gallon = 231 cubic inches
So, Volume of the cylinder shaped can = 231 cubic inches
Radius of the can = 3 inches
[tex]\text{Now, Volume of the cylinder = }\pi\times radius^2\times height\\\\\implies 231=3.14\times 3^2\times height\\\\\implies height=\frac{231}{3.14\times 9}\\\\\implies height\approx 8.17\text{ inchjes}[/tex]
Hence, The height of the cylinder shaped can = 8.17 inches
In the diagram, PN is the perpendicular bisector of AB and is also the angle bisector of
Answers
Factor completely 2x3 + 14x2 + 4x + 28.
Answers
34 +28 + 4x
62 + 4x?
Not quite sure if that was what you were looking for
2x³ + 14x² + 4x + 28
2(x+7)(x² +2)
I hope that helps!
Under what circumstance are two non right triangles congruent
Answers
The primary goal of using correlational research is to
Answers
Here you must know the terms correlation and variable. The term Correlation is simply defined as the relation between two variables. variables are factors that are liable to vary or change.
Correlational research is used to determine whether there's a relationship between two or more variables without establishing a cause-and-effect connection. It identifies how closely connected variables are by observing them as they naturally occur.
Explanation:The primary goal of using correlational research is to determine whether a relationship exists between two or more variables, but without establishing a cause-and-effect connection. In this method, a researcher may observe variables as they naturally occur with no intervention or manipulation. By examining the degree to which these variables move together, the researcher can identify how closely connected they are. For example, in psychological studies, a correlational research might be used to investigate the relationship between study habits and academic performance. However, it's critical to note that correlation does not imply causation.
Learn more about Correlational Research here:https://brainly.com/question/33448450
#SPJ6
Solve l=14j+3k for j.
Answers
l - 3k = 14j
(l - 3k) / 14 = j
j = (l - 3k) / 14 (Flipped sides for aesthetics. I like having the thing I solve for on left, but that is completely optional)
To solve the equation l = 14j + 3k for j, subtract 3k from both sides and then divide by 14, giving j = (l - 3k) / 14.
Explanation:To solve the equation l=14j+3k for j, you need to isolate j on one side of the equation. Here's how it is done step by step:
Start with the original equation: l = 14j + 3k Subtract 3k from both sides of the equation to isolate the term with j in it: l - 3k = 14j Divide both sides of the equation by 14 to solve for j: j = (l - 3k) / 14Therefore, the solution to the equation for j is: j = (l - 3k) / 14.
Learn more about Equation Solving here:https://brainly.com/question/18262581
#SPJ2
is 70 thousand written in standard form or word form
Answers
The sum of two consecutive even integers is 138. Write an equation and solve
Answers
2x+2=138
2x=136
x=68
Final answers: 68,70
The two consecutive even integers that sum to 138 are 68 and 70. The equation n + (n + 2) = 138 was used to determine these integers.
Explanation:The problem is asking for two consecutive even integers whose sum is 138. Let's denote the first integer as n (where n is an even number). As the problem says the numbers are consecutive even integers, we know the next number must be n + 2.
We can form an equation based on the information given. The sum of these two integers is equal to 138, so:
n + (n + 2) = 138If we simplify the equation, it becomes:
2n + 2 = 138By subtracting 2 from both sides, 2n = 136We then divide both sides by 2 to get n = 68Therefore, the two consecutive numbers are 68 and 70 as they add up to 138.
Learn more about Consecutive even integers here:
https://brainly.com/question/34290341
#SPJ11
jack is mowing a lawn that has a shed. needs to know area of lawn to mow. dimensions of yard are 5x by 13 x-4 . she'd are 2x by 2x+4. " find polynomial that describes area of lawn needed to mow. Polynomial in answer should have two terms.
please help.
Answers
The area of the lawn needed to be mowed equals to the area of the yard minus the area of the shed
The area of the yard = [tex](5x)(13x-4) = 65 x^{2} -20x[/tex]
The area of the shed = [tex](2x)(2x+4)=4 x^{2} +8x[/tex]
The area of the lawn = [tex]65 x^{2} -20x-(4 x^{2} +8x)[/tex]
The area of the lawn = [tex]65 x^{2} -20x-4 x^{2} -8x[/tex]
The area of the lawn = [tex]61 x^{2} -28x[/tex]
please help me!!!
The scale for the map of Missouri is 1 in = 30 mi. On the map, the distance from Springfield to Columbus is about 5.6 in. How far apart are the two cities? Round your answer to the nearest mile.
Answers
if 1 inch = 30 miles
thn multiply 30 x 5.6
30 x 5.6 = 168 miles apart
The actual distance between Springfield and Columbia is 168 miles.
Therefore, the correct answer is:
b. 168 mi
To find the actual distance between Springfield and Columbia, we can use the scale provided in the map.
Given that 1 inch on the map represents 30 miles in real life, and the distance on the map from Springfield to Columbia is 5.6 inches, we can use the following calculation to find the actual distance:
[tex]\[ \text{Actual distance} = \text{Map distance} \times \text{Scale factor} \][/tex]
[tex]\[ \text{Actual distance} = 5.6 \, \text{inches} \times 30 \, \text{miles/inch} \][/tex]
[tex]\[ \text{Actual distance} = 168 \, \text{miles} \][/tex]
So, the actual distance between Springfield and Columbia is 168 miles.
Therefore, the correct answer is:
b. 168 mi