For the frequency table for a random sample answer of the following are given below:
A. Complete frequency table:
On Time Delayed Total
Domestic 324 94 418
International 73 51 124
Total 397 145 542
B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.
C. Domestic flight has highest number of on time flight. It is positive.
As given,
From the random sample of the survey of joint relative frequency table.
On Time Delayed Total
Domestic ? 94 418
International 73 ? ?
Total ? 145 ?
A. Domestic on time = 418 -94
=324
International delayed =145 -94
=51
On time total =324 + 73
=397
International total =73+ 51
=124
Total = 418 + 124
=542
=397 +145
B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.
C. Domestic flight has highest number of on time flight. It is positive as on time flights are more than the delayed.
Therefore, For the frequency table for a random sample answer of the following are given below:
A. Complete frequency table:
On Time Delayed Total
Domestic 324 94 418
International 73 51 124
Total 397 145 542
B. Smallest joint frequency is 51. It represent international flight has lowest number of delays.
C. Domestic flight has highest number of on time flight. It is positive.
The complete question is:
A random sample of individuals at an airport were asked, "Is your flight on time or delayed?" Below are the results of the survey in a joint relative frequency table.
On Time Delayed Total
Domestic ? 94 418
International 73 ? ?
Total ? 145 ?
Part A: Draw and complete the frequency table. (3 points)
Part B: What is the smallest joint frequency, and what does it represent in the context? (3 points)
Part C: Does the data show an association between the flight being on time and flying domestic? If so, is it positive or negative? Justify your answer mathematically. (4 points)
Learn more about frequency here
brainly.com/question/5102661
#SPJ1
Answer:
Step-by-step explanation:
Be sure to contact your instructor if you have questions. :)
The length of a rectangle is four times its width.
If the perimeter of the rectangle is 60 ft , find its area.
A rectangle has a perimeter of 60 feet. The rectangle's length is four times its width. The area of rectangle is 144 square feet.
Given that,
A rectangle has a perimeter of 60 feet.
The rectangle's length is four times its width.
We have to find the area of rectangle.
Let us take length as x
The width will be 4x
The perimeter =2(4x+x)
2(4x+x)=60
4x+x=60/2
5x=30
x=30/5
x=6
The length will be 6.
The width will be 4×6=24.
The area of rectangle is length×width
=6×24
=144 square feet.
Therefore, the area of rectangle is 144 square feet.
To learn more about rectangle visit: https://brainly.com/question/15019502
#SPJ1
Points A, B, and C are collinear. Point B is between A and C. Find the value of x.
AC = 4x − 29
AB = 2x − 18
BC = 19
BC has endpoints at B(2, 9) and C(8, 7). Find the midpoint M of BC.
Answer:
Midpoint, M is (5,8)
Step-by-step explanation:
To find the midpoint, average the x's (add and divide by2) then average the y's.
The x's are the first numbers (2+8)/2 is
10/2 which is 5.
The y's are the second numbers in the parentheses, (9+7)/2 is 16/2 which is 8.
So the x of the midpoint is 5 and the y is 8.
The midpoint is (5,8)
D) Simplify the expression.
7/12- 11/12 + 5/12=
Answer: 1/12
step by step equation:
what is the value of 6a+9b?
Below is the graph of f’(×), the derivative of f(x), and has x-intercepts at x =-3, x = 1, and x = 2 and a relative maximum at x = -1.5 and a relative minimum at x = 1.5.Which of the following statement is false?
Answer:
Option 1:
Explanation:
In order for f(x) to be concave up in an interval, the graph of the derivative would have to be increasing in that interval.
In the given graph, from x=-1.5 to x=1.5, the graph of the derivative is decreasing, therefore, the statement that "f is concave up from x=-1.5 to x=1.5" is false.
Next, for f to have an inflection point at any x-value the slope of the derivative, f'(x) must change signs at that x-value. Therefore, the statement "f has an inflection point at x=1.5" is true.
Finally, for f(x) to have a relative minimum at x=2, the value of the derivative must be 0, which is as seen on the graph.
Therefore, the first option is False.
the net decimal equivalent of 48 27 12
which of the following is the graph of the function f(x)=1/2Ix+4I-3
we have the function
f(x)=1/2Ix+4I-3
the vertex of the given function is the point
(-4,-3) ---------> III quadrant
therefore
the answer is the option CA ball is thrown in the air. The function
h = 30t-5t²
can be used to find the height (h) of the ball in meters after 6 seconds. How long does it take the ball to reach a height of 45 meters?
Using given function, we conclude that it will take 3 seconds the ball to reach a height of 45 meters.
In this question, we have been given a function h = 30t - 5t²
This function is used to find the height (h) of the ball in meters after 6 seconds.
We need to find the amount of time required to reach ball to a height of 45 meters.
here, height h = 45 meters
to find : time t
h = 30t - 5t² ........................(Given function)
45 = 30t - 5t²
30t - 5t² - 45 = 0
5t² - 30t + 45 = 0
t² - 6t + 9 = 0
(t - 3)² = 0
t - 3 = 0
t = 3 seconds
Therefore, it will take 3 seconds the ball to reach a height of 45 meters.
Learn more about function here:
https://brainly.com/question/28193995
#SPJ1
Express 36 cookies divided equally among 24 students as a fraction and a decimal.
Answer:
3/2, 1.5
Step-by-step explanation:
When you put 36 cookies divided amongst 24 students, each student cookies one and a half cookies
Insert parenthesis in the proper place so that the given value of the expression is obtained. Show all WORK. You may have to insert more then one set of parenthesis.
6+9/3+16-4*2; 29
36/4+2-4; 2
5-3*2+8*5-2; 28
Applying precedence of operations, the parenthesis on the operations are inserted as follows:
(6+9)/3+(16-4)*236/(4 + 2) - 4.(5-3)*2 + 8*(5 - 2).What is the precedence of operations?The acronym PEMDAS defines the precedence of operations, from highest to lowest, as follows:
P: Parentheses.E: Exponent.M: Multiplication.D: Division. (same precedence as multiplication).A: Addition.S: Subtraction. (same precedence as addition).For the first item, we want a result of 29, hence the expression will be of:
(6+9)/3+(16-4)*2.
As the equivalent result will be of:
(6+9)/3+(16-4)*2 = 15/3 + 12 x 2 = 5 + 24 = 29.
For the second item, we want a result of 2, hence the expression will be of:
36/(4 + 2) - 4.
As the equivalent result will be of:
36/6 - 4 = 6 - 4 = 2.
For the third item, we want a result of 28, hence the expression will be of:
(5-3)*2 + 8*(5 - 2)
As the equivalent result will be of:
(5-3)*2 + 8*(5 - 2) = 2 x 2 + 8 x 3 = 4 + 24 = 28.
More can be learned about precedence of operations at https://brainly.com/question/1094951
#SPJ1
Question
Find the equation of a line that contains the points (-7,-4) and (−2, 3).
(Write the equation in standard form.)
Answer:
y=1.4x+5.8
You have to do y2-y1 over x2-x1.
6. Find the value of x. 12 x + 3
Answer:
[tex]x = - 0.25[/tex]
Step-by-step explanation:
[tex]12x + 3[/tex]
[tex]12x = - 3[/tex]
[tex] \frac{12x}{12} = \frac{ - 3}{12} [/tex]
[tex]x = - \frac{1}{4} \: or \: - 0.25[/tex]
Please help me factor.
49 - 9x²
a
2
−
b
2
=
(
a
+
b
)
(
a
−
b
)
where
a
=
7
and
b
=
3
x
.
(
7
+
3
x
)
(
7
−
3
x
)
Answer: -(3x - 7)(3x + 7)
Step-by-step explanation:
1. Rewrite the formula:
-[tex]9x^{2} + 49[/tex]
2. Factor -1 out of [tex]-9x^{2} + 49[/tex]
[tex]-(9x^{2} - 49)[/tex]
3. [tex]9x^{2} - 49 = (3x)^{2} - 7^{2}[/tex]
[tex]((3x)^{2} - 7^{2})[/tex]
4. Factor the difference of two squares. [tex](3x)^{2} - 7^{2} =[/tex]
[tex](3x-7)(3x+7)[/tex]
5. Add back negative:
Answer: [tex]-(3x-7)(3x+7)[/tex]
Two parallel lines e, and f, are crossed by two transversals. What is the measure of <15?
m<15 = 77
m<15= 83
m<15= 93
m<15= 97
The measure of the angle 15 is 97°
How to find the measure of an angle?When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, vertically opposite angles.
The parallel lines are e and f. These parallel lines are cut across by the transversal lines c and d. The transversal line d is the line that forms the angle 15 with the parallel lines e and f.
Therefore, the angle 97 degrees and the angle 15 are alternate exterior angles.
Alternate exterior angles are congruent.
Therefore,
∠15 = 97 degrees.
Hence, the measure of ∠15 is 97 degrees.
learn more on parallel lines and angles here: https://brainly.com/question/11775091
#SPJ1
Find the number of zeros at the end of (51! −50!).
Question 10
What is the equation of a line parallel to y = 3x + 2 and passes through the point (2, 1)?
Oy = 3x - 5
Oy=2x+3
Oy=3x + 7
Oy=1/3x+7
10 pts
The equation for a line parallel to y = 3x + 2 that passes through the point (2, 1) is y = 3x - 5.
What exactly is Point Slope Form?The point slope form is used to calculate the equation of a straight line that is inclined to the x-axis at a given angle and passes through a given point.
What are the methods for solving the line equation?Depending on the information available, the equation of a line can be found using a variety of methods. Among the methods are:
Point slope formSlope-intercept formIntercept formTwo-point formThe given equation of line is y = 3x + 2.
We need to find the equation of line parallel to the given line and it passes through the point (2, 1).
Slope of line y = 3x + 2 is given as:
By comparing the given equation with y = mx + c, we can say that the slope(m) = 3
Let, a point with coordinates (x, y) be on the line parallel to given line.
Finding slope again we get,
[tex]\frac{y-1}{x-2}[/tex] = 3
y-1 = 3x - 6
∴ y = 3x - 5
As a result, a line parallel to y = 3x + 2 that passes through the point (2, 1) has the equation y = 3x - 5.
Learn more about line equation here:
https://brainly.com/question/18831322
#SPJ13
if 1kg=2,2ib(pounds),convert 300g into pounds
1 kg = 1000g
Hence,
[tex]1000g\equiv2.2\text{ pounds}[/tex]This implies that,
[tex]1g\equiv\frac{2.2}{1000}[/tex][tex]300g\equiv\frac{2.2}{1000}\times300=\frac{6.6}{10}=0.66\text{ pounds}[/tex]Indira and Jean begin their hike at 10 a.m. one morning. They plan to hike from the 2 2/5-mile marker to the 8 1/10-mile marker along the trail. They plan to hike at an average speed of 3 miles per hour. Will they reach the 8 1/10 -mile marker by noon? Explain your reasoning.
Please hurry this is due tomorrow. I would really appreciate it. And if you can, please send a photo of how you solved the problem. Lastly, make sure the explanation is clear. Again, thank you sm. <3
Step-by-step explanation:
the initial distance is 2 2 /5mile or 2.4 mikes and the final is 8 1/10 or 8.1 mile . Therefore total distance to hike is
Distance=8.1 - 2.4 = 5.7miles
since they will trek at 3 miles per hour the time needed is : 5.7 MILE/ 3MILES PER hour
time: 1.9HOURS
since they started at 10am and there is 2 HOURs ALLOWANCE from noon ,THEREFORE they will reach the marker by noon 0.10 hour left
THAT'S ALL MISS
Choose the correct simplification of (5xy^7)^2(y^4)^3.
25x^2y^22
10x^2y^14
25x^2y^14
10x^2y^20
The simplified form of the given expression is 25 x² y ²⁶.
What is the simplified form of the expression?
Simplifying expressions mean rewriting the same algebraic expression in a compact form such that there are no like terms.
What are the exponent rules?
The different Laws of exponents used to solve the above mentioned question are:
[tex]x^{m}.x^{n} = x^{m+n} \\\frac{x^{m} }{x^{n} } = x^{m-n} \\(x^{m})^{n} } = x^{mn }[/tex]
According to the given question.
We have an expression (5xy⁷)²(y⁴)³
To simplify the above expression we use the exponent rules.
Therefore,
(5xy⁷)²(y⁴)³
(5² x² y²×⁷) (y ⁴׳)
(25 x² y¹⁴ ) (y¹²)
25 x² y¹⁴⁺¹²
25 x² y ²⁶
Therefore, the simplified form of the given expression is 25 x² y ²⁶
To learn more about the simplified form of the expression and exponent rules refer here:
brainly.com/question/14575743
#SPJ1
The City Pool needs a new cover for its circular toddler pool. The diameter of the pool is 25 ft. Which size cover will fit the pool?
Answer:
it’s 20 feet
Step-by-step explanation:
just took the test
The accompanying table describes results from groups of 10 births from 10 different sets of parents. The random
variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl
in 10 births is a significantly low number of girls.
Use the range rule of thumb to identify a range of values that are not significant.
The maximum value in this range is ___
Number ofGirls x
0
1
2
3
4
5
6
8
9
10
P(x)
0.004
0.015
0.036
0.116
0.201
0.245
0.196
0.115
0.041
0.012
0.019
The maximum value in this range is 8.3 girls. The range of a set of numbers is the difference between its highest and lowest values. To find it, subtract the lowest number from the highest in the distribution.
What is maximum value?The maximum value of a function is the point on a graph where the function reaches its highest point, or vertex. In this image, for example, the maximum value of the function is y equals 5. To find the maximum, we must locate the point on the graph where it changes from increasing to decreasing. We look at the second derivative and see when the value changes from positive to negative to determine the rate at which the graph shifts from increasing to decreasing. The min is simply the smallest observation, while the max is the largest. Obviously, determining the min and max is easier if the data is ordered from lowest to highest. So, for our data, the minimum is 13 and the maximum is 110To learn more about maximum value, refer to:
https://brainly.com/question/14582614
#SPJ13
The difference between 7 times a number and 9 more than 2 times the number.
Answer:
Step-by-step explanation:
Equation: 7x - 9 = 5 (x+2) 7x - 9 = 5x + 10 2x = 19 x = 9.5
Suvinder spends £ 26 on 100 postage stamps. If x of them are 20 p stamps and the remaining y are 35p stamps, write down two equations in x and y and solve them.
Solving a system of equations, we will see that Suvinder bought 60 of the £0.20 stamps and 40 of the £0.35 stamps.
How to write and solve the equations for x and y?We know that Suvinder spent £26 on 100 postage stamps, defining:
x = number of £0.20 stamps bought.y = number of £0.35 stamps bought.Then we can write the system of equations:
x + y = 100
x*0.20 + y*0.35 = 26
Isolating x on the first equation we get:
x = 100 - y
Replacing that in the other equation we get:
(100 - y)*0.20 + y*0.35 = 26
Solving that for y, we get:
20 - y*0.20 + y*0.35 = 26
20 + y*0.15 = 26
y*0.15 = 26 - 20 = 6
y = 6/0.15 = 40
Then:
x = 100 - y = 100 - 40 = 60
Learn more about systems of equations:
https://brainly.com/question/13729904
#SPJ1
What is the correct answer to this question
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: State the Angle-Arc relationship
STEP 2: Interpret the given image
[tex]\angle HIJ=\frac{1}{2}HJ[/tex]STEP 3: Find the required angle
By substitution
[tex]\begin{gathered} \angle HIJ=\frac{1}{2}\cdot100 \\ \\ HJ=100 \\ \angle HIJ=\frac{1}{2}\cdot100=50\degree \end{gathered}[/tex]Hence, the answer is 50°
In a lab experiment, 260 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 26 hours. How long would it be, to
the nearest tenth of an hour, until there are 350 bacteria present?
It will take about 8.7 hours until there are 350 bacteria present using exponential growth.
What is exponential growth?An exponential function's curve is created by a pattern of data called exponential growth, which exhibits higher increases over time.
The formula is as follows:
P = [tex]initial (rate)^x[/tex]
Given that 260 bacteria are placed in a petri dish.
initial value = 260
growth factor = 2
growth factor's associated time period = 26 hours
Exponential growth equation can be written as
[tex]n = 260(2^(t/26))[/tex]
For n=350, we can put the value and take log on both sides.
[tex]350=260(2^{(t/26)} )[/tex]
[tex]1.3 = 2^{t/26}[/tex]
log 1.3 = (t/26) log(2)
26×log(1.3)/log(2) = t
t ≈ 8.7 hours
Therefore, it will take about 8.7 hours until there are 350 bacteria present.
To learn more about exponential growth, visit:
https://brainly.com/question/15381925
#SPJ9
uppose that the rela
S={(-1, -9), (-9, 1), (3, 1)}
ve the domain and range of S.
rite your answers using set notation.
domain =
range =
Answer:
Domain = {-9, -1, 3}Range = {-9, 1}Step-by-step explanation:
The domain is the set of x-values and the range is the set of y-values.
A science experiment has a catapult launch a ball. The result of the experiment is shown in the table. experiment is shown in the table.
a. What is the average distance of the 5 attempts? Show your work.
B. How far does the ball have to travel on the sixth attempt so that the average of all 6 of the attempts is 50.9 meters? Explain
please help!!
The data on the attempts and distances of the science experiment on the launch of a ball by a catapult, presented in a tabular form gives the following;
a. The five attempts have an average distance of 50.58
b. The distance the sixth ball has to travel so as to give an average distance traveled of 50.9 meters is 52.5 meters
What is an average of a data set?An average is a descriptive statistics that tends to describe the values in a dataset. An average or the mean of a dataset is obtained by summing the data values and dividing the result by the number of data points
Please find attached, the Attempt to Distance table obtained from a similar question online
a. The formula for average, [tex] \bar{x} [/tex] of a set of data or observations is presented as follows;
[tex] \displaystyle{\bar x = \frac{Sum \: of \: observations}{Number \: of \: observations}} [/tex]
Mathematically, we have;
[tex] \displaystyle{\bar x = \frac{\sum x}{N}} [/tex]
Which gives from the attached table;
[tex]\displaystyle{\sum {x} =50.7+49.4 +52.3 + 48.9 + 51.6 = 252.9}[/tex]
N = 5
Which gives;
[tex] \displaystyle{\bar x = \frac{252.9}{5} = 50.58}[/tex]
The average distance of the 5 attempts is 50.58 metersb. The distance, d, the ball has to travel on the sixth attempt to get an average of 50.9 meters is found as follows;
The new total number of attempts, N = 6
Which gives;
[tex] \displaystyle{\bar x = 50.9 = \frac{d + 252.9}{6} }[/tex]
6 × 50.9 = d + 252.9
Therefore;
d = 6 × 50.9 - 252.9 = 52.5
The distance the ball has to travel in the sixth attempt to have an overall average of 50.9 meters is 52.5 metersLearn more about the average of a dataset here:
https://brainly.com/question/12636890
#SPJ1
the bear family has an average age of 58. if john is two years younger than tom and lisa is 16 years older than john, what are the ages of john,tom and lisa ?
The ages of John, Tom and Lisa are 52 years, 54 years and 68 years respectively.
According to the question,
We have the following details:
The average age of the Bear family is 58 years.
Now, let's take Tom's age to be x years, Lisa's age to be y years and John's age to be z years.
So, we have the following expression:
(x+y+z)/3 = 58
(x+y+z) = (58*3)
(x+y+z) = 174 .... (1)
Now, John is two years younger than Tom, so we have:
z = (x-2) ....(2)
Lisa is 16 years older than John. So, we have:
y = (z+16) ....(3)
Now, putting the values of y and z in equation 1,
x+z+16+x-2 = 174
Now, again putting the value of z from equation 2,
x+x-2+16+x-2 = 174
3x+12 = 174
3x = 174-12
3x = 162
x = 162/3
x = 54 years
Now, putting the value of x in equation 2,
z = x-2
z = (54-2) years
z = 52 years
Now, putting the value of z in equation 3,
y = z+16
y = (52+16)
y = 68 years
Hence, the ages of John, Tom and Lisa are 52 years, 54 years and 68 years respectively.
To know more about ages here
https://brainly.com/question/28686134
#SPJ1
Which is the best approximate solution to the linear system? (Use the graphing calculator tool to graph the
system. Round to the nearest tenth.)
2x - y = //
-2y + 2x =
O (0.7, -1)
(0.8,-1)
O (1.4,-0.3)
O (1.4,-0.4)
The best approximate solution to the linear system is x= 3/4 y = -1
What is linear system?
linear system are system of equations in which the variables are never multiplied with each other but only with constants and then summed up.
Reorder the equation:2x-y =5/2
2x-2y = 7/2
Subtract the two equations:
2x-y -(2x-2y)=5/2 - 7/2
Remove parentheses:
2x-y -2x +2y =5/2-7/2
Cancel one variable:
-y +2y =5/2-7/2
Combine like terms:
5/2-7/2
Write the numerators over common denominator:
Y= 5-7/2
Calculate the sum or difference:-2/2
Rewrite the fraction:-2/2
Cross out the common factor:-1
Substitute into one of the equations:2x-(-1)=5/2
Remove the parentheses:2x+1=5/2
Multiply both sides of the equation by the common denominator:2x×2+2=5×2/2
Reduce the fractions:2x×2+2=5
Rearrange unknown terms to the left side of the equation:4x=5-2
Calculate the sum or difference:4x=3
Divide both sides of the equation by the coefficient of variable:
The solution of the system is:x=3/4
To know more about linear system click
https://brainly.com/question/2030026
#SPJ9