Answer:
16
Step-by-step explanation:
16 (2x + y - 3)
Travelers who fail to cancel their hotel reservations when they have no intention of showing up are commonly referred to as no-shows. In anticipation of no-shows and late cancellations, most hotels overbook(i.e., accept reservations for more rooms than the number of rooms in their inventory). The Journal of Travel Research(Spring 1985) reported that six major hotels in the Seattle area had a no-show rate of10%. Let X equal the number of no-shows among the four travelers who have made hotel reservations in this study.
a) What is the probability that at least two of the four selected will turn to be no-shows?
b) What is the most likely value for X?
Answer:
a) 0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.
b) 0 is the most likely value for X.
Step-by-step explanation:
For each traveler who made a reservation, there are only two possible outcomes. Either they show up, or they do not. The probability of a traveler showing up is independent of other travelers. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
No-show rate of 10%.
This means that [tex]p = 0.1[/tex]
Four travelers who have made hotel reservations in this study.
This means that [tex]n = 4[/tex]
a) What is the probability that at least two of the four selected will turn to be no-shows?
This is [tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486[/tex]
[tex]P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036[/tex]
[tex]P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001[/tex]
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.0486 + 0.0036 + 0.0001 = 0.0523[/tex]
0.0523 = 5.23% probability that at least two of the four selected will turn to be no-shows.
b) What is the most likely value for X?
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.6561[/tex]
[tex]P(X = 1) = C_{4,1}.(0.1)^{1}.(0.9)^{3} = 0.2916[/tex]
[tex]P(X = 2) = C_{4,2}.(0.1)^{2}.(0.9)^{2} = 0.0486[/tex]
[tex]P(X = 3) = C_{4,3}.(0.1)^{3}.(0.9)^{1} = 0.0036[/tex]
[tex]P(X = 4) = C_{4,4}.(0.1)^{4}.(0.9)^{0} = 0.0001[/tex]
X = 0 has the highest probability, which means that 0 is the most likely value for X.
4/5,9/10,17/20 least to greatest
Answer: 4/5 17/20 9/10
Step-by-step explanation:
Find a common denominator
4/5-16/20
17/20-17/20
9/10-18/20
Raymoon sold an article at a loss of 5%. If he had sold it for 270 more, he would have gained 7% find the cost prize of article
IᑎᔕEᑕTIOᑎ ᑭEᒍᗩY✓ hahahaha
12. Un artículo vale 80 dólares después de aplicarle el IVA del 20% ¿Cuánto valdría sin IVA
Answer:
Precio sin IVA= $66,67
Step-by-step explanation:
Dada la siguiente información:
Costo total= $80 dólares
IVA= 20%
Para calcular el precio de articula sin IVA, tenemos que usar lasiguiente formula:
Precio sin IVA= Precio total / (1 + IVA)
Precio sin IVA= 80 / (1 + 0.2)
Precio sin IVA= 80 / 1,2
Precio sin IVA= $66,67
Factor 9x2 – 4.
options:
A)
(3x + 2)(3x + 2)
B)
(3x – 2)(3x + 2)
C)
(3x – 2)(x + 2)
D)
(3x – 1)(3x + 4)
Answer:
B
Step-by-step explanation: Differences between squares.
9x^2-4
(3^2) (x^2) -(2^2)
(3x-2)(3x+2)
CAN SOMEONE GENUINELY HELP ME PLEASE???
Janine inflated a ball to a radius of 18cm and another ball to a radius of 12cm. how much greater was the volume of air in the larger ball than the smaller ball?
Answer:
17,190.79 cm ³
Step-by-step explanation:
24429.02 - 7238.23
Find the total surface area of the number
cube.
2 in.
2 in.
2 in.
Answer: 24 Inches
Step-by-step explanation:
what is 9983988038208302-square root of 10 billion squared?
Need help quick, i will call you brainliest :D
I don't get it i need help
Answer:
x = 33.5 °
Step-by-step explanation:
The two angle add to a straight 180 degree angle
so
4x+5 + 41 = 180
4x = 134
x = 33.5 °
Although traffic fatalities have been decreasing for years, this decrease has not been experienced equally in all segments of the population. In fact, although the overall rate of traffic fatalities has been decreasing, the rate has declined the most for those with more education and has actually gone up for those without high school degrees. A recent study shows that among those over 25, as education level increased from less than high school, to high school grad, to some college, to college grad, the rate of motor vehicle crash deaths decreased.
1) What are the explanatory and response variables? Drag each variable to the appropriate column
1. Rate of motor vehicle crash deaths
2. Level of education
A) Response Variable
B) Explanatory Variable
2) Those with less education tend to drive cars that are older, have poorer crash test ratings, and have fewer safety features such as side airbags. Are the variables age of car, crash test rating, and presence of safety features explanatory variables, response variables, or lurking variables?
A) They are all explanatory variables since they are all characteristics of a car.
B) They are lurking variables as they are neither the primary explanatory nor response variables
C) They are all response variables since they can determine how much damage a car will receive in a motor vehicle crash.
D) None of the choices are correct education level good.
3) Is the association between traffic fatalities reason to think that a higher level of education actually causes an individual to be a safe driver? None of the choices are correct
A) Without an experiment, no causal relationship can be made.
B) There is a causal relationship because the study shows that the level of education has an impact on traffic fatalities are associated.
C) There is a causal relationship because level of education and motor vehicles.
D) None of the choices are correct.
Answer:
1.
The explanatory variable is the level of education.
response variable is Rate of motor vehicle crash deaths
2. b
3. A) Without an experiment, no causal relationship can be made.
Step-by-step explanation:
1.
The explanatory variable is the level of education.
The explanatory variable tells us that more education among people over 25 years, brings about a reduction in motor deaths.
The response variable is the rate of motor vehicle deaths.
This variable actually responds to the changes in the explanatory variable. The rate of motor vehicle deaths could increase or decrease based on the level of education.
2.
They are lurking variables. option B
These variables are not known primarily as explanatory variables here in this relationship but they have the ability to affect the result of the study.
3. We have to carry out an experiment first in order to carry out a causal relationship.
Which statement is NOT true about the absolute value of -6? (1. It equals the absolute value of 6.) (2.It describes the distance between -6 and 0 on the number line.) (3.It describes the distance between 6 and -6 on the number line.) (4. It can be expressed as [-6].)
Answer:
probably It explains the distance between 6 and -6 on the number line.
Step-by-step explanation:
3. What is the radius of a circle whose area is 64π cm squared?
Answer:
Area = 64π
Area \: = \pi {r}^{2}Area=πr
2
64 \: \pi \: = \pi {r}^{2}64π=πr
2
{r}^{2} = \dfrac{64\pi}{\pi}r
2
=
π
64π
{r}^{2} = 64r
2
=64
r \: = \: \sqrt{64} = 8r=
64
=8
Radius = 8 units
Finding the Diameter -
Diameter = Radius x 2 = 8 x 2 = 16 .
\bold{Diameter \: is \: 16 \: units}Diameteris16units
What is the area of the segment?
Answer:
The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)
What factors cause acid rain in Canada?
Answer: The primary cause of low pH in precipitation over northeastern North America is sulphuric acid (H2SO4) from industrial and urban emissions of sulphur dioxide (SO2). Nitric acid (HNO3) generated from emissions of nitrogen oxides (NOx) is a significant contributing factor in this region.
Step-by-step explanation:
I need help with this please
Answer:
x+7 y+5
Step-by-step explanation:
For this problem all you have to do is count how many units it takes to get from point R to point R'
for the x value it takes 7 units and for the y value it takes 5 units
On Monday, the high temperature in Abilene was 75.6 degrees Fahrenheit and the high temperature in New York City was 54 degrees Fahrenheit. How many times greater was the high temperature in Abilene than the high temperature in New York on Monday?
Answer:
On monday,the high temperature in abilene was 75.6 degrees Fahrenheit and the temperature in New york city was 54 degrees Fahrenheit.How many times greater was the high tempareture in Abilene than the high temperature in New York on monday plz show your work
Step-by-step explanation:
Answer please eeeeeeee
Answer:
if that's a division sign then your answer is m=36
if that's multiplication then your answer is m=4
Step-by-step explanation:
1. Toni bought 5 t-shirt for $54 . They each cost the same . Also please tell me how to right it
Answer:
5 T-shirts = $54
10 T-shirts = $108
20 T-shirts = $216
How to turn a percentage into a decimal
Answer:
Divide a percent by 100 and remove the percent sign to change it from a percent to a decimal.
Step-by-step explanation:
1. Example: 9 % is 0.09
2. Example: 8% is 0.08
3 .Example: 10% will change to 10/100 =decimal 0.10
That how it work just follow the example
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{You have DIVIDE your GIVEN PERCENT by 100 because}\\\large\textsf{percentages runs out of 100}[/tex]
[tex]\large\textsf{Example }\downarrow[/tex]
[tex]\mathsf{\dfrac{75\%}{100}}[/tex]
[tex]\mathsf{= \dfrac{75}{100}}[/tex]
[tex]\boxed{ \textsf{\bf 0.75}}\large\checkmark[/tex] ☑️
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
for the grey boxes the answer choices are:
1. left
2. right
for the second one it’s:
1.up
2.down
The circle below is centered at the point (1, 2) and has a radius of length 3.
What is its equation?
Answer:
[tex](x - 1) {}^{2} + (y - 2) {}^{2} = 9[/tex]
Step-by-step explanation:
The general circle equation is
[tex](x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where r is the radius.
Since we know all the information just plug it in the equation above.
[tex](x - 1) { }^{2} + (y - 2) {}^{2} = {3}^{2} [/tex]
Simplify 3 squared.
[tex](x - 1) {}^{2} + (y - 2) {}^{2} = 9[/tex]
Amar thinks of a number If he takes away 6 from ⅔ ? of number, the result is
22. Find the number.
Let's assume the number as x
According to the question,
2/3x-6=22
2x-6=22×3
2x= 66-6
2x=60
x=60/2=30
Therefore, as x=30, The number is 30 itself.
Q10
A photographer increases the price he charges to print photographs. He
wants to know if this affects his sales.
Last week, before the price increase, the average number of photos ordered was 12.
This week customers ordered
Photos ordered
Number of customers
1 - 10
26
11-20
21.30
6
31 - 40
41 - 50
0
51 - 60
Does the price increase seem to have had an effect on the number of prints ordered per customer?
Explain your answer. Include calculations to support your decision.
Answer:
1087272828192910101010101
On Saturday, 960 people visit the zoo. Of the visitors, 40% are children. How many of the visitors on Saturday were children?
Palindrome numbers are numbers that read the same foward or backward. Here are some palindrome numbers: 11, 121, 75257, and 1234321. The smallest three digit palindrome is 101. How many palindrome numbers are there between 10 to 1000?
Answer:
99.
Step-by-step explanation:
A palindrome number is one that can be read in the same way both from the front and from the back. A clear example is the number 242, which starts and ends in the same way from the front or back.
Between 10 and 100, there are 9 palindromes, from 11 to 99. In turn, between 100 and 200, 200 and 300 and so on, each hundred has within it 10 palindromes (101, 111, 121, 131, 141 , 151, 161, 171, 181 and 191, for example).
Therefore, considering the 9 hundreds between 100 and 1000, there will be 90 palindromes, which added to the 9 between 10 and 100 give a total of 99 palindromes.
There is a spinner with 10 equal areas, numbered 1 through 10. If the spinner is spun
one time, what is the probability that the result is a multiple of 5 or a multiple of 2?
Answer:
3/5
Step-by-step explanation:
In the numbers 1 thru 10, there are 5 multiples of 2 (2, 4, 6, 8, 10) and 2 multiples of 5 (5, 10). Since you cannot count 10 twice, there are 6 possibilities (2, 4, 5, 6, 8, 10)
So the probability of spinning a multiple of 2 or 5 is 6/10 = 3/5
Answer:2/10 probabilty for the multiple of 5 and a 5/10 or 50% chance that it will be a multiple of 2
Step-by-step explanation: 10 areas, there are 2 multiples of 5,( 5 and 10 )and there is a 2/10 chance of landing on landing 5 or 10 because there are 2 multiples of 5. There are also 5 multiples of 2, (2, 4, 6, 8, 10) 5/10 chance because there are 5 multiples out of 2
can someone help me please
Answer:
D) CDG and GDE
Step-by-step explanation:
These angles add up to 180 degrees, making them supplementary angles
Free 50 Points.
(You don't really need to answer the question)
¯\_(ツ)_/¯
Find the answer for,
746x^97 - 3465 * 3742 + 2345
Step-by-step explanation:
3742 + 2345=6087
I don't really understand what the 746x^97 bit means sorryyyy :(
what is 1/3 of 2/4?
Answer:
1/6
it will
1/3 * 2/4
= 1/3 * 1/2
= 1/6
hope it will help
Answer:
1/6
Step-by-step explanation: