Answer:
1. The overall repeat booking rate is 34.72%.
2. The probability of a traveler cancellation is 0.09 = 9%.
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
[tex]P(B|A) = \frac{P(B)*P(A|B)}{P(A)}[/tex]
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
Question 1:
36% of 100 - 8 = 92%(not canceled)
20% of 8%(canceled). So
[tex]p = 0.36*0.92 + 0.2*0.08 = 0.3472[/tex]
The overall repeat booking rate is 34.72%.
Question 2:
We have that 34% is the sum of:
20% of 8%(repeat cancellation when the owner cancels).
28% of x(traveler cancelations).
36% of (100 - (8+x))%(no cancellation). So
[tex]0.2*0.08 + 0.28x + 0.36(1 - (0.08+x)) = 0.34[/tex]
[tex]0.016 + 0.28x + 0.36(0.92 - x) = 0.34[/tex]
[tex]0.016 + 0.28x + 0.3312 - 0.36x = 0.34[/tex]
[tex]0.08x = 0.3312 + 0.016 - 0.34[/tex]
[tex]x = \frac{0.3312 + 0.016 - 0.34}{0.08}[/tex]
[tex]x = 0.09[/tex]
The probability of a traveler cancellation is 0.09 = 9%.
Image result for worlds hardest math question
Image result for worlds hardest math question
Image result for worlds hardest math question
Image result for worlds hardest math question
View all
For now, take a crack at the toughest math problems known to man, woman, and machine.
The Collatz Conjecture. Dave Linkletter. ...
Goldbach's Conjecture ...
The Twin Prime Conjecture. ...
The Riemann Hypothesis. ...
The Birch and Swinnerton-Dyer Conjecture. ...
The Kissing Number Problem. ...
The Unknotting Problem. ...
The Large Cardinal Project.
Answer:
1
Step-by-step explanation:
Solve for b:19-b=31
Answer:
-12
Step-by-step explanation:
Helpppppppppppppppp
Two angles are supplementary. If one angle is 45° less than twice of the other angle, find the two angles.
Answer:
we will call the two angles a and b
a = 105
b = 75
Step-by-step explanation:
Supplementary means the two angles add up to 180 degrees. Now this turns into a system of equations problem. let's call the two angles a and b.
Lets say angle a is 45 degrees less than twice the other angle. that means a = 2b - 45. The first part told us a + b = 180
a + b = 180
a = 2b - 45
Now this is actually super easy to do. Normally you would have to do algebra to one of the two equations so there is one variable by itself. the second equation already has that.
now look at the other equation. instead of a though make a = 2b - 45
a + b = 180
2b - 45 + b = 180
Now use algebra to solve for b
2b - 45 + b = 180
b = 75
Now, go back to the first two equations. put 75 in for b for either one of them and you will get the answer to a.
a + 75 = 180
a = 105
or
a = 2*75 - 45
a = 105
Now we can check. a=105 and b = 75
do both add up to 180? yep. is a 45 less than twice b? or using numbers, is 105 45 less than twice 75? well twice 75 is 150. and 105 is 45 less than that, so yep!
Let me know if there was anything you didn't get. Also you could totally have started with the other equation first and got a = 180 - b or b = 180 - a and gotten the same answer.
Unit 3 Mid - Assessment
The time in the coordinate grid passes through the points( 4, -3)and (6,-1). What is the value of B if written in a slope-intercept form of y=Mx+b
21m42n32p10
Зm 21n16 р5
Simplify
Step-by-step explanation:
meh dont know40 QUESTIONS FOR JUST ONE QUESTION :) QUESTION 6
Answer: Credit to work in process invetory-assembly
Answer:
its C because it makes the most sense "Credit to work in process invetory-assembly."
Step-by-step explanation:
NEED ANSWER QUICK!!
In the diagram, the measure of angle 3 is 89°, and the measure of angle 6 is 88°.
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 4?
88°
89°
91°
92°
9514 1404 393
Answer:
(c) 91°
Step-by-step explanation:
Based on your description, it appears that angles 3 and 4 form a linear pair. This means angle 4 is the supplement to angle 3:
angle 4 = 180° -89°
angle 4 = 91°
Answer:
91°
Step-by-step explanation:
14 + 6z - 10 + 9z equaled to?!
Answer:
4 + 15z
Step-by-step explanation:
Is your simplified expression.
Answer:
15z + 4
Step-by-step explanation:
6z + 9z = 15z14 - 10 = 4Put them together: 15z + 4I hope this helps!
a) The mean age of graduate students at a University is at most 31 y ears with a standard deviation of two years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value. Write information given with correct symbols. Hypothesis interpret the p-value. b) A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use? c) Assume the null hypothesis states that the mean is at most 12. Is this a left-tailed, right-tailed, or two-tailed test? d) What should you do if α = p-value?
Answer:
A.)
H0: μ ≤ 31
H1: μ > 31
B.)
H0: μ ≥ 16
H1: μ < 16
C.)
Right tailed test
D.)
If Pvalue is less than or equal to α ; we reject the Null
Step-by-step explanation:
The significance level , α = 0.01
The Pvalue = 0.0264
The decision region :
Reject the null if :
Pvalue < α
0.0264 > 0.01
Since Pvalue is greater than α ; then, we fail to reject the Null ;
Then there is no significant evidence that the mean graduate age is more Than 31.
B.)
H0: μ ≥ 16
H1: μ < 16
Null Fluid contains 16
Alternative hypothesis, fluid contains less than 16
One sample t - test
C.)
Null hypothesis :
H0 : μ ≤ 12
. The direction of the sign in the alternative hypothesis signifies the type of test or tht opposite direction of the sign in the null hypothesis.
Hence, this is a right tailed test ; Alternative hypothesis, H1 : μ > 12
d.)
If Pvalue is less than or equal to α ; we reject the Null.
Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. The cost of Rebecca’s total purchase is $39.
Answer:
3 pairs of socks
Step-by-step explanation:
2 shirts *12per shirt = $24 spent so far
$39 - $24 dollars spent so far = $15 dollars left
$15 dollars left/$5 per pair of socks = 3 pairs of socks.
An equation is formed of two equal expressions. The total number of socks that Rebecca bought is 3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of pairs of socks that Rebecca bought be represented by x.
Given that Rebecca buys some socks that cost $5 per pair and 2 t-shirts that cost $12 each. Also, the total purchase value is $39. Therefore, we can write the equation as,
Purchase value of socks + Purchase value of t-shirts = Total purchase value
($5 × x) + ($12 × 2) = $39
5x + 24 = 39
5x = 39 - 24
5x = 15
x = 15/5
x = 3
Hence, the total number of socks that Rebecca bought is 3.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
Someone please help me and thank you:)
Answer:
D
Step-by-step explanation:
Answer:
n+4=32 models this scenario.
This is because n+4 would show how many students are originally in the class.
Let me know if this helps!
Plz help me I need help with math plz anyone who good at math
Answer
6 is the correct answer.
Step-by-step explanation:
You need to know sin(60) = root(3)/2 = a/(4root(3)), then you can solve for 'a', get a = 6.
In exercise 14 and 15, write a piecewise function for the graph
Answer14. 6/0 15. 1/5 OR 5/1
Step-by-step explanation:
I need help with this
Answer:
27 1/2
Step-by-step explanation:
What are the known solutions to f(x)=g(x) ?
Select each correct answer.
A.1
B.3
C.5
D.7
E.11
Answer:
C IF NOT D
Step-by-step explanation:
convertir 5000 cm a km
Answer:
0.05 kilometer is the answer
Step-by-step explanation:
hope this answer may help you
helpppppp ill give brainliest answer if you know
Answer: 522.67 mm^3
Step-by-step explanation:
use formula
Mrs. Montgomery earns a 6.5% commission on her total sales. Last month, she had sales of $55,780,
How much commission did Mrs. Montgomery earn last month?
What was her total pay for the month?
Round your answers to two decimal places.
try using the steps in my question i have one just like you
Step-by-step explanation:
An archer has $62 to spend on a new archery
set. A certain set containing a bow and three arrows costs $42. With the purchase of this set, he can purchase additional arrows for $4 per arrow. Use an inequality to find the maximum number of arrows he could obtain, including those with the set, for his $62.
Answer:
5 more arrows
Step-by-step explanation:
62 - 42 = 20 20 / 4 = 5
The archer can buy 5 more arrows.
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
A scientist cuts a box parallel to its bases, and the resulting two-dimensional cross section is a square. Which original figure could result in the square after being cut?
octagonal pyramid
octagonal pyramid
square prism
square prism
triangular prism
triangular prism
triangular pyramid
triangular pyramid
Answer:
octagonal pyraimed and squre prims
Felicity needs to buy 3 dozen cookies for a party. The first 16 cookies cost $0.28 each. The rest cost $0.19.
What is Felicity's total cost?
Answer: $8.28
Step-by-step explanation: 3 dozens are 36 cookies. The first 16, $0.28 each will be $4.48. The rest will cost $0.19 each so $0.19 x 20 = $3.80
$4.48 + $3.80 =
Answer:$8.28
Step-by-step explanation
Multiply 16x0.28 you will get $4.48 then
you Multiply 20x0.19 you get 3.8 also known as 3.80 you add
3.80+4.48+$8.28
Part 1 : Adding & Subtracting Monomials
Answer:
1. 15a⁵b²+4a⁵b²
= 19a⁵b²
2. -7m-m²+4m²-3m
= -7m -3m -m²+4m²
= -10m +4m²
3. 2pq⁷ and -pq⁷
= (2pq⁷) +(-pq⁷)
= 2pq⁷-pq⁷
= pq⁷
4. -13xy from -5xy
= -5xy - 13xy
= - 18xy
it's your answer . check it out
Factor completely and then place the factors in the proper location on the grid. 4 a2 - 8 a - 5
Step-by-step explanation:
(2a + 1)(2a - 5)
-1/2 and 5/2 are factors
point on graph are (-1/2,0) (5/2,0)
A figure is graphed in the coordinate plane. Which pair of transformations will NOT preserve the size and the shape of the figure?
A. Reflect the figure over the line y = x and then translate it 2 units up
B. Translate the figure 3 units to the left and then dilate by a scale factor of 4
C. Rotate 90 degrees counterclockwise and then dilate by a scale factor of 1
To state the figure 180 degrees counter-clockwise about the origin and then reflect it over the y-axis
The transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).
What is the dilation of the figure?Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.
When a figure is dilated, the size of the original figure is changed.
A figure is graphed in the coordinate plane. Let's check all the option for the transformation of original figure.
A. Reflect the figure over the line y = x and then translate it 2 units up- Reflection and translation of a figure does not changes its shape and size.B. Translate the figure 3 units to the left and then dilate by a scale factor of 4- With the scale factor of dilation, the size of the figure will be changed for this case.C. Rotate 90 degrees counterclockwise and then dilate by a scale factor of 1- In this case, there the figure is dilated with a scale factor of 1. This will change the size of the original figure.D. To state the figure 180 degrees counterclockwise about the origin and then reflect it over the y-axis- In this case the shape and size does not change.Hence, the transformations which is NOT preserve the size and the shape of the figure is dilate by a scale factor of 4 (B) and dilate by a scale factor of 1 (C).
Learn more about the dilation of the figure here;
https://brainly.com/question/3457976
Consider the system of equations shown.
Layla walks at a rate of 3 miles per hour. At this rate,how far he walk in 4 hours
The hockey team won 60 out of the 80 games it played this year. What percent of the games did the team win?
I bought 3 bags of red bows.
After I used 3 bows on gifts that I wrapped,
Thad 24 bows left.
How many bows were in each bag?
Find the measure of the arc or angle indicated assume that lines which appear tangent are tangent
Answer:
17. C 60°
18. D 121°
Step-by-step explanation:
The external angle is half the difference of the intercepted arcs.
17. (161° -41°)/2 = 60°
__
18. (? -59°)/2 = 31°
? = 59° +2(31°) = 121°
External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
What is the formula for external angle made by extending two chords?External angle is half of the difference between angles subtended by arcs.
So in problem 17,
∠C = (161°-41°)/2 = 60°
In problem 18,
We got the external angle = 59°
Let us take the angle subtended by arc = x
so,
(x-59°)/2 = 31°
x = 121°
Therefore, External angle∠C of the given circle is 60°
The angle subtended by the arc VS is 121°
To get more about circles refer to the link,
brainly.com/question/25938845