Answer:
The answer is below
Step-by-step explanation:
given that:
n = sample size = 200, p = probability of a cancelled reservation = 1 - 0.9 = 0.1
The z score is given by:
[tex]z=\frac{x-mean}{standard\ deviation} =\frac{x-np}{\sqrt{np(1-p)} }[/tex]
a) The probability that all the passengers who arrives can be seated can only occur if atleast 15 or more passengers cancelled their reservations.
P(X ≥ 15) = 1 - P(X ≤ 14.5)
[tex]z=\frac{x-np}{\sqrt{np(1-p)} }=\frac{14.5-(200*0.1)}{\sqrt{(200*0.1)(1-0.1)} }=-1.3[/tex]
From the normal distribution table:
P(X ≥ 15) = 1 - P(X ≤ 14.5) = 1 - P(z < -1.3) = 1 - 0.0968 = 0.9
b) The probability that there are empty seat only occur if atleast 16 or more passengers cancelled their reservations.
P(X ≥ 16) = 1 - P(X ≤ 15.5)
[tex]z=\frac{x-np}{\sqrt{np(1-p)} }=\frac{15.5-(200*0.1)}{\sqrt{(200*0.1)(1-0.1)} }=-1.06[/tex]
From the normal distribution table:
P(X ≥ 16) = 1 - P(X ≤ 15.5) = 1 - P(z < -1.06) = 1 - 0.1446 = 0.8554
c)
[tex]0.95=P(X\geq n-185)=1-P(X\leq n-185)\\\\P(X\leq n-185)=1-0.95\\\\P(X\leq n-185)=0.05\\\\0.05=P(Z<\frac{n-185-0.1n}{\sqrt{0.9*0.1*n} } )\\\\0.05 \ correspond\ to \ a\ probability\ of\ -1.64\\\\-1.64=\frac{0.9n-185}{\sqrt{0.9*0.1*n} } \\\\n=198[/tex]
Find the value of x .
Answer:
[tex]x=18[/tex]
Step-by-step explanation:
[tex](4x-11)\\(2x+25)[/tex]
According to the Alternate Exterior Angles Theorem, "when two lines are cut by a transversal, the resulting alternate exterior angles are congruent."
This means that the two expressions above are to be set equal to each other because they are representative of two alternate exterior angles, which are congruent:
[tex]4x-11=2x+25[/tex]
Add [tex]11[/tex] to both sides of the equation:
[tex]4x=2x+36[/tex]
Subtract [tex]2x[/tex] from both sides of the equation:
[tex]2x=36[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]2[/tex]:
[tex]x=18[/tex]
~
Check your work by substituting [tex]18[/tex] for [tex]x[/tex] in the initial equation:
[tex]4(18)-11=2(18)+25[/tex]
[tex]61=61[/tex]
It's correct!
Answer:
18
Step-by-step explanation:
From the given figure, we can see that angle (4x - 11) will be equal to angle 1 since they are corresponding angles
We notice that angle 1 is vertically opposite to angle (2x + 25)
Hence,
angle (4x - 11) = angle 1 = angle (2x + 25)
So, we can say that angle (4x - 11) = angle (2x + 25)
Now, solving for x:
4x - 11 = 2x + 25
2x = 36
x = 18
25. In the morning, there were 5 buses at the station. In the afternoon, there were double that number. How many buses were at the station in the afternoon?
O 10
O 3
O 5
Answer:
trial there were 10 buses
kinds of numeric number
Find each sum or difference -1/2+1/3 please help quickly
Answer:sum: -1/6
Step-by-step explanation:
An integer for 53c below zero
Lynn has an investment account which compounds interest annually at a rate of 2.9%. After 7 years, she has $9800 in the account. How much money did she initially place in the account? Round your answer to the nearest whole number. Do not include a $ in your answer.
Answer:8023
Step-by-step explanation:
yooooo whats 6x3 i don't know but i'm in 7th grade
You learn multiplication in 3rd grade but ok buddy, kinda sad you are doing algebra not knowing that 6x3=18
Answer:
18 lollllllllllllllllllllllllllll
A carnival charges $6 for admission and $2.50 per ride. You have $50 to spend at the carnival. What is the greatest number of rides you can go on at the carnival?
Answer:
17
Step-by-step explanation:
the answer above me is wrong and silly how are you supposed to get a 17.6 rides makes no sense
The greatest number of rides you can go on at the carnival will be 17.6.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
A carnival charges $6 for admission and $2.50 per ride. You have $50 to spend at the carnival.
Let x be the number of rides.
Then the equation is given as,
2.50x + 6 = 50
Simplify the equation, then we have
2.5x + 6 = 50
2.5x = 44
x = 17.6
Thus, the greatest number of rides you can go on at the carnival will be 17.6.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ6
On which number line do the points represent negative five and one over two and +2?
A. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 5th and 6th tick marks to the left of 0. A point labeled T is placed between the 3rd and 4th tick marks to the left of 0.
B. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed in between the 3rd and 4th tick marks to the right of 0. A point labeled T is placed between the 5th and 6th tick marks to the right of 0.
C. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed on the 2nd tick mark to the left of 0. A point labeled T is placed between the 5th and 6th tick marks to the right of 0.
D. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed is placed between the 5th and 6th tick marks to the left of 0. A point labeled T is placed on the 2nd tick mark to the right of 0.
The number line which the points representing negative five and one over two (-5 1/2) and +2 would be on is: D. Number line from negative 10 to positive 10 in increments of 1 is shown. Only the whole numbers are labeled. A point labeled R is placed between the 5th and 6th tick marks to the left of 0. A point labeled T is placed on the 2nd tick mark to the right of 0.
What is a number line?In Mathematics, a number line can be defined as a type of graph that has a graduated straight line and comprises both positive and negative numbers that are placed at equal intervals along its length.
Generally speaking, a number line primarily decreases in numerical value towards the left and increases in numerical value towards the left.
Note: Each interval on this number line represents 1 unit.
Next, we would add the given numbers together in order to determine the distance between these points:
Distance = -5 1/2 + 2
Distance = -11/2 + 2
Distance = -7/2 or -3.5 units.
In conclusion, a distance of -7/2 or -3.5 units is shown in the number line shown in the image attached below.
Read more on number line here: brainly.com/question/16482555
#SPJ1
x = -9 and y = 2 plz help me plz
Answer: 9 and -2
Step-by-step explanation: because of the way it's writen.
Help please!:) Soon as possible
Answer:
-7
_____
because
2x+30=-2x+2
is
4x+30=2
which is
4x=-28
then
x=-7
What is the value of the expression 6.5 - (-7.25)?
Answer:
13.75
Step-by-step explanation:
Slash and dash. turn the both minuses into positives and add like normal. 6.5 plus 7.25 equals 13.75.
Which expression is equivalent to 3/5 divided by 7/9
Answer:
Step-by-step explanation:
its 27/35, so 27/1 * 1/35
The equivalent expression is obtained by changing the division sign to multiplication and taking the reciprocal of the denominator. Hence, we have 3/5 × 9/7 = 27/35
Denominator = 7/9Numerator = 3/5Reciprocal of denominator = 1 ÷ 7/9 = 9/7
Therefore, change the division operator to multiplication and use the reciprocal of the denominator.
3/5 ÷ 7/9 = 3/5 × 9/7
Hence, we have 3/5 × 9/7 = 27/35.
Learn more : https://brainly.com/question/18106342
Ella's purse has different accessories.
9 hair clips
2 headbands
3 barrettes
4 hair ties
Which of the following statements is correct?
A.
For every hair clip, there are three barrettes.
B.
For every headband, there are two hair ties.
C.
For every headband, there are three hair ties.
D.
For every barrette, there are two hair clips.
Answer:
option B...for every headband there are two hair ties
c(x) = 4x + 2 Find c(2)
c(2) = 8
Step-by-step explanation:Hi there !
c(x) = 4x + 2
replace x = 2
c(2) = 4×2 + 2
= 8 + 2
= 10
Good luck !
In Example 2, we saw that Airbus A330-300s seat 330 passengers and cost $250 million each, Boeing 767-300ERs seat 270 passengers and cost $200 million each, while Boeing Dreamliner 787-9s seat 240 passengers and cost $250 million each. You are the purchasing manager of an airline company and have a spending goal of $5550 million for the purchase of new aircraft to seat a total of 6750 passengers. Your company has a policy of supporting U.S. industries, and you have been instructed to buy twice as many Boeings as Airbuses. Given the selection of three aircraft, how many of each should you order?
Airbus A330-300s
Boeing 767-300ERs
Boeing Dreamliner 787-9s
9514 1404 393
Answer:
A330: 8B767: 9B787: 7Step-by-step explanation:
Let x, y, z represent the numbers of A330, B767, and B787 aircraft to order, respectively. The problem statement suggests 3 equations:
330x +270y +240z = 6750 . . . . . total seats
250x +200y +250z = 5550 . . . . . total cost (millions)
2x -y -z = 0 . . . . . . . . . . . . . . . . . . . ratio of orders
__
These can be solved by a variety of methods, including on-line equation solvers. If you want to do it by hand, substitution can help.
First divide by common factors:
11x +9y +8z = 225
5x +4y +5z = 111
Write an expression for z and substitute:
z = 2x -y
11x +9y +8(2x -y) = 225 ⇒ 27x +y = 225
5x +4y +5(2x -y) = 111 ⇒ 15x -y = 111
Adding the second of these to the first gives ...
(27x +y) +(15x -y) = (225) +(111)
42x = 336 . . . simplify
x = 8 . . . . . . . . divide by 42
15(8) -111 = y = 9
z = 2(8) -9 = 7
The solution to the equations is (x, y, z) = (8, 9, 7).
The order should be for 8 A330s, 9 B767s, and 7 B787s.
Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm.
Which circle has the larger circumference?
Answer:
so that would mean about how many more cm is B from a or A from B
Step-by-step explanation:
Answer:
Circle B
Step-by-step explanation:
What value(s) of x would give an output of 28? *
3 points
y = 3x - 8
X = 3
x = 12
x= 20/3
X = 14
Pls hurry it’s a test question
x=12 is the correct answer
y = 3(12)-8
y = 36 - 8
y = 28
Answer:
when X= 12
then y = 3x-8
y= 3*12-8= 28
hope like the answer
the ratio of 7 th grade student to 8th grade student in soccer league is 17:23 if there is 200 student in all how many are in grade seventh
Answer:
85
Step-by-step explanation:
let ,
17=17x
23=23x
now,
17x+23X=200
40x=200
x=200÷40
x=5
then,
17x=17×5=85
What is the solution to -1-7? + 4 5 6 9 10 2 -10-9-8-7 6-5- 4 -3-2 1 -8 O 6 6 O8
What is the correct definition of the word famine?
A. Severe scarcity of food within a region
B. Narrow body of water that has land on two sides
C.long heavy fishing line with multiple hooks attacked that goes across run region
D. A territory, or section of land found within the borders of a government run region
Please select the best answer from the choices provided
O A
O B
O C
O D
Answer:
A
Step-by-step explanation:
PLZ HELP URGENT WORTH 10 POINTS AND IF ITS 100% RIGHT WILL GIVE BRAINLIST!!!
Answer:
the scale dilation is 2 times
Step-by-step explanation:
the scale is 2 because the size of the original is 2X2 and the dotted square is 4X4.
The perimeter of the figure is 26. Find the value of x.
Answer:
25
Step-by-step explanation:
common denominator is 10, so 4/10 plus 5/10 plus 1/10 is 1x. 6 minus 1 is 5. 1x+5 is 26. 1x=25 x=25
will mark brainliest if amswer right pitcure included
Answer:
QPT is obtuse
SPQ is acute
TPR is right
Step-by-step explanation:
Took geometry two years ago
Answer:
TPR is a right angle all the other are wrong tho
Step-by-step explanation:
Xfinity claims that the performance package for the internet will get you a download speed of 100Mbps. In reality, each person who pays for that package has a slightly different internet speed. For a large data set of performance internet customers, the mean internet speed is 100Mbps, with extended deviation of 8Mbps. As soon as that the internet speeds in the data set can be modeled by a normal distribution.
What percent of Performance Package internet customers would be expected to have internet speeds between 84Mbps and 116Mbps? Be sure to also explain your process of getting the answer. Also, please show your work.
Answer: 95%
Step-by-step explanation:
mean = 100, standard deviation (sd) = 8
mean ± 1 sd = z-score of 1 which is 68%
100 ± 8 = 92 to 108
mean ± 2 sd = z-score of 2 which is 95%
100 ± 2(8) = 84 to 116
mean ± 3 sd = z-score of 3 which is 99.7%
100 ± 3(8) = 76 to 124
The internet speeds are between 84 and 118 which is 2 standard deviations from the mean, which is 95% of their internet customers.
The product of the three digits of a positive three-digit number is 18. The units digit is 2 less than the tens digit. If the hundreds digit is 3 more than the tens digit, then find this three-digit number.
Answer:
92727
Step-by-step explanation:
3
I’m just not getting it! I need step by step.
Answer:
[tex]7x + 10 + x + 20 + 2x \\ 7x + x + 2x + 10 + 20 \\ 10 x + 30 \\ x = \frac{30 }{10} \\ x = 3 \\ (7x + 10) = 7 \times 3 + 10 = 31 \\ (x + 20) = 3 + 20 = 23 \\ (2 \times 3) = 6[/tex]
Step-by-step explanation:
Please mark as brainliest
Find the GCF of the numbers using prime factorizations
18, 45, 63
Answer:
pretty sure it's 9
Step-by-step explanation:
if u could subscribe to my friend penny_pg3d that would be great
Answer:
Answer is 9
Step-by-step explanation:
Helpppp meeee!!!!!!!
Answer:
B. 64
Step-by-step explanation:
1×8=8
2×8=16
3×8=24
4×8=32
5×8=40
6×8=48
7×8=56
8×8=64
There will be 64 crayons in 8 boxes.
Caleb was building a birchhouse. He needed 2 boards that were each 6 inches long and one board that was 18 inches long. What was the total lenghth of the boards that he needed.
Answer:
30 inches
Step-by-step explanation:
2 boards that were each 6 inches long
The key word is each because this represents multiplication
2 × 6 = 12
1 board that was 18 inches long
1 × 18 = 18
Now we add the two numbers together to find the total length of boards needed
12 + 18
30
Don't forget to include units in your final answer
30 inches