a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.
------------------
b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.
------------------
c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.
------------------
d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.
Workers in an office of 40 staff were asked their favourite type of take-away. Pizza 9 Curry 6 Fish & chips 11 Kebab 10 Other 4 How many degrees represent 1 person?
Answer:
Hey there!
In total, there are 360 degrees. If there are 40 staff members, then each member has 360/40=9 degrees.
Hope this helps :)
Answer:
9 degrees
Step-by-step explanation:
There are 360 degrees in a circle
There are 40 people
360 / 40 = 9
Each person gets 9 degrees
a two-digit number becomes 5/6 of the reversed number obtained when the digits are interchanged. The difference between the digits is 1. find the number
plz plz help me i wnt answer with full process pls help me plz plz pls.
==============================================
Work Shown:
T = tens digit
U = units digit (aka ones digit)
A number like 27 is really 20+7 = 2*10 + 7*1 = 10*2 + 1*7. We have 2 in the tens digit and 7 in the units digit. So 27 can be written in the form 10T + U where T = 2 and U = 7. Reversing the digits gives 72, so T = 7 and U = 2 now. Clearly the difference between the digits 7 and 2 is not 1, so 27 or 72 is not the answer (as it's just an example).
-----------------------
Let T be larger than U. This doesn't work if T = U.
Because T is larger, saying "The difference between the digits is 1" means T - U = 1. We can isolate T to get T = U+1. We'll use this later.
-----------------------
If T > U, then the original number 10T+U reverses to the new number 10U+T and it becomes smaller. We are told that it becomes 5/6 of what it used to be.
So,
new number = (5/6)*(old number)
10U + T = (5/6)(10T + U)
6(10U + T) = 5(10T + U)
60U + 6T = 50T + 5U
60U + 6(U+1) = 50(U+1) + 5U ... plug in T = U+1
60U + 6U + 6 = 50U + 50 + 5U
66U + 6 = 55U + 50
66U - 55U = 50-6
11U = 44
U = 44/11
U = 4 is the units digit of the original number
T = U+1
T = 4+1
T = 5 is the tens digit of the original number
The original number is therefore 10T + U = 10*5+4 = 54.
We see the difference in their digits is T-U = 5-4 = 1
The reverse of 54 is 45. The number 45 is 5/6 of 54
45 = (5/6)*54
What is the volume of the pyramid in cubic inches?
9in.
6 in.
8 in.
Answer: C) 144
Step-by-step explanation:
The area of a pyramid can be found via lwh/3
(9*8*6)/3 = area
72*6/3 = area
432/3 = area
144 = area
Hope it helps <3
can someone help me please
Answer:
Compare algebraic relationships in a situation.
A store has been selling a certain TV for $210. If the store raised the price by 5% (of the original
price), what would be the new price?
Answer:
Step-by-step explanation:
Selling price = $210
percentage increase = 5 %
Increased amount = 5% of 210
= 0.05 * 210
= $ 10.5
New selling price = 210 + 10.5 = $ 220.50
Solve the system of equations -8y+9x = -5; 8y+7x = -75
Answer:
x = -5
y = -5
Step-by-step explanation:
-8y+9x = -5; 8y+7x = -75
Add the two equations together to eliminate y
-8y+9x = -5
8y+7x = -75
----------------------
0y + 16x = -80
Divide each side by 16
16x/16 = -80/16
x = -5
Now find y
8y+7x = -75
8y+7(-5) = -75
8y-35 = -75
Add 35 to each side
8y = -40
Divide by 8
8y/8 = -40/8
y = -5
Answer:
[tex]\boxed{x=-5}\\ \boxed{y=-5}[/tex]
Step-by-step explanation:
-8y + 9x = -5
8y + 7x = -75
Add the equations (eliminating the y-variable).
16x = -80
Divide both sides by 16.
[tex]\frac{16x}{16}[/tex] = [tex]\frac{-80}{16}[/tex]
x = -5
Plug x as -5 in the first equation to find y.
-8y + 9(-5) = -5
-8y +-45 = -5
Add 40 to both sides.
-8y = 40
Divide both sides by -8.
[tex]\frac{-8y}{-8}[/tex] = [tex]\frac{40}{-8}[/tex]
y = -5
i don't get division at all i did but i moved a lot of places and i forget things
Answer:
What is the question
Step-by-step explanation:
What is the least number of colors you need to correct color in the sections of these pictures so that no two touching sections are the same color?
You would assume that in this figure, the number of colored sections with which are not colored with respect to a " touching " colored section, would be half of the total colored sections. However that is not the case, the sections are not alternating as they still meet at a common point. After all, it notes no two touching sections, not adjacent sections. Their is no equation to calculate this requirement with respect to the total number of sections.
Let's say that we take one triangle as the starting. This triangle will be the start of a chain of other triangles that have no two touching sections, specifically 7 triangles. If a square were to be this starting shape, there are 5 shapes that have no touching sections, 3 being a square, the other two triangles. This is presumably a lower value as a square occupies two times as much space, but it also depends on the positioning. Therefore, the least number of colored sections you can color in the sections meeting the given requirement, is 5 sections for this first figure.
Respectively the solution for this second figure is 5 sections as well.
2 concentric circles have radii 2cm and 3cm respectively, calculate the ratio of their areas
Answer:For the first circle the radius is 2cm and for the second circle the radius is 3cm,by taking the ratio of their areas:
πr^2:πR^2
π cancels out and we are left with only r^2:R^2
r=2cm and R=3cm
Therefore r^2:R^2=2^2:3^2
=4:9
The answer is 4:9
Step-by-step explanation:
Complete the sequences below :
• please explain the formula in simple words.
a) 18035, 18070 , 18105, ........... , .............. .
b) 3800, 4100, 4400, ............, ............ .
c) 17200, 18300, 19400, .............. , ............ .
Answer:
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
Step-by-step explanation:
They are all arithmetic progressions (AP) with a common difference, i.e. all differences of one term from the subsequent term are identical.
The general formula is
T(n) = T(0)+n*D
where
n = the term number
T(n) = nth term (considering the first term to be the zeroth term.
D = common difference
a) T(0) = 18035, D = 35, so formula is T(n) = 18035 + 35n
b) T(0) = 3800, D = 300, so formula is T(n) = 3800 + 300n
c) T(0) = 17200, D = 1100, so formula is T(n) = 17200 + 1100n
PLEASEEEEANSWERWhich of the following linear equations represents the data chart below? y = 3x + 5 y = x − 5 y = 3x + 11 None of these choices are correcT
Answer:
y=3x+5
Step-by-step explanation:
Multiply. √3 ⋅ √5 ⋅ √7 Enter your answer, in radical form, in the box.
Answer: square 105
Step-by-step explanation: Confirming answer
A radical expression is an expression containing a square root, mostly a square root.
The value of √3.√5.√7 in radical form is √105.
What is a radical expression?A radical expression is an expression containing a square root, mostly a square root.
We have,
√3.√5.√7
We can multiply the numbers together.
= √(3 x 5 x 7 )
= √(15 x 7)
= √105
Thus the value of √3.√5.√7 in radical form is √105.
Learn more about radical form here:
https://brainly.com/question/27272065
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Which number is the odd one out?
Answer:
8677
Notice that all the numbers in the sequence are divisible by 3 except 8677.
The sum of the digits must be divisible by 3.
8+6+7+7= 2+8 =10
10 isn't divisible by 3.
precalc! how do you solve by completing the square? i have 2 examples! (17 & 18 please) tysm <3
Answer:
17) x = 11, -8
18) exact form: x = + 2 sqaure root 6/ 3 + 2
I hope this helps :)
Jose rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 91 cents for each mile driven. Jose had to pay $218.28 when he returned the truck. For how many miles did he drive the truck?
Answer:
219
Step-by-step explanation:
do total minus base fee which is
218.28-18.99=199.29
and than
199.29(which is money paid on miles) divided by 91. which is 219
The average of three numbers is 25. two of the numbers are 45 and 16. What is third one.
Answer:
14
Step-by-step explanation:
I attached a picture and I hope this helps ;) ❤❤❤
Answer:
The third number is 14
Step-by-step explanation:
To find the average of 3 numbers add the three numbers and divide by 3
Let x be the third number
( 45+16+x) /3 = 25
Multiply each side by 3
( 45+16+x) /3 *3 = 25*3
( 45+16+x) = 75
Combine like terms
61+x = 75
Subtract 61 from each side
61+x-61 = 75-61
x = 14
I need a clear explanation please bc i don't get how I'm supposed to do this. :,)
The half-life [tex]t_{1/2}[/tex] is the amount of time it takes for some quantity [tex]N_0[/tex] of carbon-14 to decay to half the original amount, or [tex]N=\frac{N_0}2[/tex].
In terms of the formula, it's the time such that
[tex]\dfrac{N_0}2=N_0e^{-kt_{1/2}}[/tex]
and we can divide both sides by the original amount to get
[tex]\dfrac12=e^{-kt_{1/2}}[/tex]
We want to find the time [tex]t[/tex] it takes for 57%, or 0.57, of the original amount to remain. This means we solve for [tex]t[/tex] in
[tex]0.57N_0=N_0e^{-kt}[/tex]
or
[tex]0.57=e^{-kt}[/tex]
We're given [tex]k=0.0001[/tex]; plug this in and solve for [tex]t[/tex]:
[tex]0.57=e^{-kt}\implies\ln0.57=-kt\implies t=-\dfrac{\ln0.57}k\approx\boxed{5621\,\mathrm{years}}[/tex]
Passage 1: The creature had thick arms and legs, sharp teeth, and dark eyes. Passage 2: The creature’s legs and arms were tree trunks, its open mouth was lined with razors, and it had eyes like a starless night. How does the author’s use of figurative language in the second passage do a better job of conveying meaning than the first passage? You may choose more than one correct answer. It helps the reader understand how terrifying the creature is. It helps the reader visualize the creature. It describes the creature. It hints that the creature is a predator.
Answer:
Step-by-step explanation:
The authors use of figurative language gives the reader a better visualization of how the creature looked.
Answer:
The answer is A,B,D
Step-by-step explanation:
I took the test
Two numbers are in the ratio of 3 to 4. If the minor is 27, find the sum of both.
Answer:
Step-by-step explanation:
First we must find the missing number, for that we apply a simple rule of three:
3. 4
27 ------ x
x = 27 (4) / 3 = 36
Now we just do the sum:
27 + 36 = 63
Answer:
Sum = 63
[tex]\boxed{ x = 36}[/tex]
Step-by-step explanation:
3 : 4
It says that the 1st part (3) is 27
27 : x (We've to find the major)
Creating a proportion:
=> 3 : 4 = 27 : x
Product of Means = Product of Extremes
=> 3 * x = 27 * 4
=> 3x = 108
Dividing both sides by 3
=> x = 36
The sum of both is 27+36 = 63
simplify (5 √2 - 1) ^2
if (x+2)2 = 49 then x + 2 = 7 true or false
Answer:
False, we need to take the positive and negative square root of 49
Step-by-step explanation:
(x+2)^2 = 49
Take the square root of each side
sqrt((x+2)^2) = ±sqrt(49)
x+2 = ±7
Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary calculator
This is not the question, the correct question is:
A humanities professor assigns letter grades on a test according to the following scheme. A: Top 6% of scores B: Scores below the top 6% and above the bottom 59% C: Scores below the top 41% and above the bottom 17% D: Scores below the top 83% and above the bottom 7% F: Bottom 7% of scores.
Scores on the test are normally distributed with a mean of 79 and a standard deviation of 8.4. Find the numerical limits for a B grade. Round your answers to the nearest whole number, if necessary.
Answer: The numerical limits for grade B is 81 and 92
Step-by-step explanation:
Given that
mean Ж = 79
Standard deviation S = 8.4
B: Scores below the top 6% and above the bottom 59%
To find the numerical value for Grade B
Below the top bottom 6% ( 0.06) is
p ( X < Ж ) = 1 - 0.06
p ( X < Ж ) = 0.94
therefore
P( (X - ц)/S < (X - Ж) / S)) = 0.94
(X - 79) / 8.4 = 1.5548 ( from normal distribution table )
X - 79 = 13.0603
X = 13.0603 + 79
X = 92.06 ≈ 92 ( nearest whole number)
Above bottom 59% ( 0.59) is
p ( X < Ж ) = 0.59
therefore
P( (X - ц)/S < (X - Ж) / S)) = 0.59
(X - 79) / 8.4 = 0.2275 ( from normal distribution table )
X - 79 = 1.9114
X = 1.9114 + 79
X = 80.91 ≈ 81 ( nearest whole number)
So the numerical limits for grade B is 81 and 92
Romain knows the following information about the 323232 classes he took in high school: He studied for but did not pass 333 classes. He passed 272727 classes in total. He studied for 262626 classes in total. Can you help Romain organize the results into a two-way frequency table?
Answer:
Classes studied for, Classes he did not study for Total
Classes Passed, 23 4 27
Classes Failed, 3 2 5
Total, 26, 6 32
Please find attached the two way frequency table formatted on Excel spreadsheet
Step-by-step explanation:
The given information are;
The total number of classes Romain took in high school = 32
The number of classes he studied for but did not pass = 3
The total number of classes Romain passed = 27
The number of classes Romain studied for = 26
Therefore;
The number of classes Romain studied for and passed = 26 - 3 = 23
The total number of classes Romain failed = 32 - 27 = 5
The total number of classes Romain passed but did not study for = 27 - (26 - 3) = 4
The number of classes Romain did not study for and failed = 5 - 3 = 2
The total number of classes Romain did not study for = 4 + 2 = 6
A store owner gathered data for several days about the methods customers used to pay for their purchases. The scatter plot shows the data she gathered and the line of best fit. The equation of the line of best fit is y = 0.755x + 11.339. Based on the line of best fit, approximately how many customers are predicted to use a card to pay on a day when 90 customers pay by cash? A.) 68 B.) 79 C.) 92 D.) 104
Answer:
b.79
Step-by-step explanation:
if you look at the graph it shows its right below 80
The 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have a line of best fits:
y = 0.755x + 11.339
Plug x = 90
y =0.755(90) + 11.339
y = 67.95 + 11.339
y = 79.28 ≈ 79
Thus, the 79 customers are predicted to use a card to pay on a day when 90 customers pay by cash option (B) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
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To reach a window, you need a ladder to go up 16 feet on the side of your house. You
set the bottom of the ladder 4 feet from your house. Which choice is closest to the
shortest ladder you can use to reach the window?
possible solutions:
1. 20 feet 2. 4.5 feet
3. 272 feet 4. 16.5 feet
Answer:
4. 16.5
Step-by-step explanation:
You solve for the hypotenuse
a^2+b^2=c^2
16^2+4^2=c^2
256+16= the square root of 272
16.5
I WILL MARK BRAINLIEST!!!!!! A direct variation function includes the ordered pair (4, 5). If y varies directly with x, and y is 14 when x is 2, what is the value of x when y is 35?
Answer: x=5
Step-by-step explanation:
[tex]\frac{2}{14} =\frac{x}{35}[/tex]
[tex]\frac{x}{35}=\frac{2}{14}[/tex]
simplify
[tex]\frac{x}{35}=\frac{1}{7}[/tex]
multiply 35 on both sides
[tex]\frac{35x}{35}=\frac{1\cdot \:35}{7}[/tex]
[tex]\frac{1}{7} \cdot 35=5[/tex]
x=5
Let [tex]m=x^{2}+3[/tex]
Which equation is equivalent to [tex](x^{2}+3)^{2} +7x^{2} +21=-10[/tex]
A.) [tex]m^{2}-7m+10=0[/tex]
B.) [tex]m^{2}-7m+31=0[/tex]
C.) [tex]m^{2}+7m+10=0[/tex]
D.) [tex]m^{2}+7m+31=0[/tex]
Answer:
[tex]{m}^{2} +7m + 28 = 0[/tex]
Step-by-step explanation:
Given that,
[tex]m = {x}^{2} + 3[/tex]
We know that,
[tex] {x}^{2} = m- 3[/tex]
Now look at the sum
[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ [/tex]
[tex]( {x}^{2} + 3) ^{2} + 7 {x}^{2} + 21 = - 10 \\ {m}^{2} + 7 \times m- 3 + 21 = - 10 \\ {m}^{2} +7m + 18= - 10 \\ {m}^{2} + 7m + 18+ 10 = 0 \\ {m}^{2} + 7m + 28 = 0[/tex]
How do you solve this?
Answer:
The highest possible value of b would be 750.
Step-by-step explanation:
If you graph the two equations, you'll get two crossing lines, and because y is supposed to be either equal to or less, the answer is going to be at the shaded area at the bottom.
Equate the two equations to solve them with algebra.
-15x+3000=5x
add 15x to both sides
3000=20x
divide by twenty, you get
150=x
Plug that in to both equations, you'll get y=750, which is the highest possible value of b, (aka y cuz it's on the y axis).
What is the least number of colors you need to correctly color in the sections of the pictures so that no two touching sections are the same color?
Answer:
2
Step-by-step explanation:
Polygons on either side of a common edge need to be colored differently, so 2 colors are needed, as a minimum. Polygons of the same shape do not share an edge, so all can be colored the same color.
Find the missing factor.
70? + 10a + 3 = (7a + 3)
Answer:
(-3/70)a
Step-by-step explanation:
Solving for ?, we have ...
70? +3a = 0 . . . . . subtract (7a +3)
? +(3/70)a = 0 . . . . divide by 70
? = -(3/70)a . . . . . . subtract 3/70a
The missing factor is (-3/70)a.