Global Airlines operates two types of jet planes: jumbo and ordinary. On jumbo jets, 30% of the passengers are on business while on ordinary jets 25% of the passengers are on business. Of Global's air fleet, 60% of its capacity is provided on jumbo jets. (Hint: The 25% and 30% values are conditional probabilities stated as percentages.)
a) What is the probability a randomly chosen business customer flying with Global is on a jumbo jet?
b) What is the probability a randomly chosen non-business customer flying with Global is on an ordinary jet?

Answers

Answer 1

Answer:

a) 0.18 = 18% probability a randomly chosen business customer flying with Global is on a jumbo jet.

b) 0.3 = 30% probability a randomly chosen non-business customer flying with Global is on an ordinary jet.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

Event A: Jumbo

Event B: Business

60% of its capacity is provided on jumbo jets.

This means that [tex]P(A) = 0.6[/tex]

On jumbo jets, 30% of the passengers are on business

This means that [tex]P(B|A) = 0.3[/tex]

Desired probability:

We want to find [tex]P(A \cap B)[/tex], so:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)P(A) = 0.6*0.3 = 0.18[/tex]

0.18 = 18% probability a randomly chosen business customer flying with Global is on a jumbo jet.

b) What is the probability a randomly chosen non-business customer flying with Global is on an ordinary jet?

Event A: Ordinary

Event B: Non-business

60% of its capacity is provided on jumbo jets.

So 100 - 60 = 40% are ordinary, which means that [tex]P(A) = 0.4[/tex]

On ordinary jets 25% of the passengers are on business.

So 100 - 25 = 75% are non-business, that is [tex]P(B|A) = 0.75[/tex]

Desired probability:

We want to find [tex]P(A \cap B)[/tex], so:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(A \cap B) = P(B|A)P(A) = 0.75*0.4 = 0.3[/tex]

0.3 = 30% probability a randomly chosen non-business customer flying with Global is on an ordinary jet.


Related Questions

tell me, what is 24 x 0.25?

Answers

Answer:

it is 6.

Step-by-step explanation:

in simplest form is _______.

Answers

Answer:

5/7

Step-by-step explanation:

The greatest common factor of 25/35 is 5, 25/5=5, 35/5=7, therefore your answer is 5/7.

A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.

What is the position of the scuba diver relative to sea level?Choose from the drop-down menu to correctly complete the statement.

The scuba diver is
Choose... 13,21,64,72
feet
Choose... above or below

sea level.

Answers

Answer:

21 above is the answer

Step-by-step explanation:

A yoga studio charges a $180 yearly fee for membership plus $18 for each class. What is the average total cost per class if a studio member takes 75 classes per year? Do not include the dollar sign ($) in your answer.

Answers

Answer:

Average total cost per class is 13.5

Step-by-step explanation:

A yoga studio charges a 150 yearly fee for membership plus150yearlyfeeformembershipplus12 for each class.

Yearly charge = 150 $

Charge per class = 12 $

A studio member takes 100 classes per year

Number of class attended by studio member = 100

We need to find average total cost per class for this member for a year.

Total charge = Yearly charge + Number of class attended x Charge per class

Total charge = 150 + 100 x 12

Total charge = 150 + 1200

Total charge = 1350 $

\begin{gathered}\texttt{Average total cost per class = }\frac{\texttt{Total charge}}{\texttt{Number of class attended by studio member}}\\\\\texttt{Average total cost per class = }\frac{1350}{100}=13.5\$\end{gathered}

Average total cost per class =

Number of class attended by studio member

Total charge

Average total cost per class =

100

1350

=13.5$

Average total cost per class = 13.5 $

Study hard

Brainliest please thank you!

Answer:

1,530

Step-by-step explanation:

Total charge = 180 + 75 x 18

Total charge = 150 + 1,350

Total charge = 1,530 $

Matt had instruction to take a box of nailsn

Answers

Answer:

2960 mod 9 = 8. So the classrooms he can take it to are 8, 17, 26, ... 17 is among these so he is correct

Step-by-step explanation:

I really don't know cause there is not enough explanation

17. Solve for x: 3xyz = P (MAFS.912. A-
CED.1.4)
a. x = P-3-y-z
b. x = P - 3yz
P
C. X =
3yz
a
d. x = P + y + 3 + z

Answers

3xyz = P

xyz = P/3

xy = P/3z

x = P/3yz

Answer is not there in the options.....but it's correct.

____

Hope it helps ⚜

PLZ HURRY IT'S URGENT!!!
What is the value of x? Leave answer in **simplest radical form.***



options:

4


4√3


8


8√3

Answers

4 sqrt 3 is your answer (b)

On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the basket on Friday?

Answers

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

pls help i need help with this been working fo a bit

Answers

[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}(y+x)[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}x+\dfrac{5}{7}y[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{6}{7}x+\dfrac{5}{7}x-\dfrac{2}{5}y+\dfrac{5}{7}y[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{11}{7}x+\dfrac{-14+25}{35}y[/tex]

[tex]\\ \sf\Rrightarrow \dfrac{11}{7}x+\dfrac{11}{35}y[/tex]

Done!

[tex] \boxed{\huge \bf \: Question:—}[/tex]

[tex] \sf \longmapsto \: \dfrac{6}{7} x - \dfrac{2}{5} y + \dfrac{5}{7} (y + x)[/tex]

[tex]\boxed{\huge\bf \: Solution:—}[/tex]

[tex] \boxed{\bf \: Distribute:—}[/tex]

[tex]\sf \longmapsto \: \dfrac{6}{7} x - \dfrac{2}{5} y + \dfrac{5}{7} y + \dfrac{5}{7} \: x[/tex]

[tex]\sf \longmapsto \dfrac{6}{7} x + \dfrac{ - 2}{5} y + \dfrac{5}{7} y \: + \dfrac{5}{7} x[/tex]

[tex] \boxed{\bf \: Combining \: Like \: Terms:—}[/tex]

[tex]\sf \longmapsto\dfrac{6}{7} x + \dfrac{ - 2}{5} y + \dfrac{5}{7} y \: + \dfrac{5}{7} x[/tex]

[tex]\sf \longmapsto \bigg(\dfrac{6}{7} x + \dfrac{5}{7} x \bigg) \: + \bigg( \dfrac{ - 2}{5} y + \dfrac{5}{7} \: y \bigg)[/tex]

[tex]\sf \longmapsto \: \dfrac{11}{7} x \: + \dfrac{11}{35} y[/tex]

[tex]\boxed{\bf \: Answer:—}[/tex]

[tex] \boxed{\bf \: \dfrac{11}{7} x \: + \dfrac{11}{35} y}[/tex]

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

Answer:

2sqearhahah joke bye hahah

the answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

What is the distance between (5,2) and (0, -2)

Answers

Step-by-step explanation:

the distance between 2 points can be seen as the Hypotenuse of a right-angled triangle with the legs being the x and y coordinate differences.

and so, we use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

distance² = (5 - 0)² + (2 - -2)² = 5² + 4² = 25 + 16 = 41

so, the distance is sqrt(41) = 6.403124237...

Simplify the expression.
7- 5n + n + 5

Answers

-4n+12

Explanation-
Like terms

Find the slope.
y = 3x – 11

m =[?]

Answers

you know that y=mx +c then in the place of m is 3 then answe is also three.

Evaluate the expression: 12-3x3-2
O 12
O9
O 25
0 1

Answers

Answer:

12-3×3-2

12-6-2

12-11

1

The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?

Answers

Answer:

49 feet

Step-by-step explanation:

twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.

f (x) = x^2 g (x) = (x-9)^2 +3 we can think of g as a translated (shifted) verson of f. complrte the description of the transformation

Answers

Step-by-step explanation:

Given:

f(x) = x² and g(x) = (x - 9)² + 3

If g is the translation of f then it is:

g(x) = f(x - 9) + 3

This is a shift right 9 units and up 3 units

Answer:

Yes

Step-by-step explanation:

f(x)=x²

y=x²

Shift nine units right

y={x-9)²

Shift 3 units up

g(x)=(x-9)²+3

Can someone help me please

Answers

50 would be your answer because it is adding 15 each time

Determine if the ordered pair (6, 4) is a solution to the inequality y is greater than negative one half times x plus 7. Yes, because (6, 4) is above the line No, because (6, 4) is below the line Yes, because (6, 4) is on the line No, because (6, 4) is on the line

Answers

Answer:

No, because (6, 4) is on the line

Step-by-step explanation:

y>-1/2(x)+7

4>-1/2(6)+7

4>-3+7

4>4

Is it true that Confidence intervals are always close to their true population values?

Answers

Answer:

This means that there is a 95% probability that the confidence interval will contain the true population mean. Thus, P( [sample mean] - margin of error < μ < [sample mean] + margin of error) = 0.95.

the rectangular gable is 8 feet tall the area of the gable is 120 square feet, what is the length of the base

Answers

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Create your own example for each cases of multiplying
polynomials With complete solution


Case 1: Distributive Property
Case 2: FOIL Method
Case 3: Binomial to Polynomial


Pls needed badly


If you have nothing to answer dont answer

Answers

Foil method the binomial to polynomial

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Answers

Answer:

so there is 14 cards in total so out of those 14 14 cards are either blue or green so 100%

Hope This Helps!!!

WORTH 50 POINT + BRAINLIEST FOR GOOD ANSWER!!

Bob was accused of stealing chocolate from a chocolate factory, and was put on criminal trial in the state of Pennsylvania. If Bob were convicted, to which higher court could he appeal?

A. State court of appeals
B. Supreme Court of the United States
C. Federal appellate court
D. Bob is constitutionally protected from a second trial

BTW reason the subject ios math is because no one is helping me when I put other subject. :(

Answers

Answer:

. Bob is constitutionally protected from a second trial like its not possible that person who steals choclate get in to the jail

Answer:

i believe that it is d

Step-by-step explanation:

becuase if hes convicted of the crime he doesn't have to be on trial for it again

A
B
(7y+9)
If
2yº
04
с
What’s m

Answers

Answer:

acute angles A and C are 38°obtuse angles B and D are 142°

Step-by-step explanation:

We assume the figure is a parallelogram, so the sum of the marked angles is 180°.

  2y +(7y +9) = 180

  9y +9 = 180 . . . . . . . simplify

  y +1 = 20 . . . . . . . . . divide by 9

  y = 19

m∠BCD = 2y° = 38°

m∠ABC = (7y+9)° = (7·19 +9)° = 142°

I have 17 ones, 15 tens, and 7 thousands​

Answers

Answer:

You have 7,167

Step-by-step explanation:

If this was to be converted into a whole number, it would be:

7,167

Based on the data given in the frequency table below, does a greater percent of eleventh
or twelfth graders surveyed like tennis? Use conditional relative frequencies to support
your answer.
Like Tennis
Grade
Yes
No
Total
Eleventh
45
50
95
Twelfth
62
28
90
Total
107
78
185
Rounded to the nearest thousandth, the conditional relative frequency that an eleventh
grader likes tennis is
Rounded to the nearest thousandth, the conditional relative frequency that a twelfth
grader likes tennis is
Since
% is less than %, a greater percent of (select)
like tennis.

Answers

Answer: the answers vary since mine and urs are different, so these are my answers: 0.48, 0.63, 48, 63, twelth graders. youll have too think about it a lil bit, sry

Mark brainliest pls and also look at picture if u don't understand

Step-by-step explanation:

Yw :) :D

Stop looking up answers on brainly

Help me plz NO LINKS


Thanks

Answers

Answer:

please I am tired texting and answering questions.

What is the volume of a cylinder with a height of 13 and radius 6?

Answers

1470.27

v = pi r^2 (H)

v = 3.14 (6^2) (13)

v = 3.14 (36) (13)

v = 1470.27 (about)

Answer:

V = 1470

Step-by-step explanation:

V = πr²h

V = (3.14)(6²)(13)

V = (3.14)(36)(13)

V = 1469.52

Find the area of a rectangle that is 7 cm long and 3 cm wide. You can use the tool to help you solve.

Answers

Answer:

21

Step-by-step explanation:

The answer is 21 because for finding the area you have to multiply, 7 and 3.

Multiply 7 and 3 you get 21.

Hope this helps :)

Answer:

21

area is equal to length X height. 7 X 3 = 21

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x = 13.9

Step-by-step explanation:

15cos(22) = 13.9

Answer:

x = 13.9

Step-by-step explanation:

For the 22° angle, x is the adjacent leg. The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

cos 22° = adj/hyp

cos 22° = x/15

x = 15 × cos 22°

x = 13.9

Answer: x = 13.9

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