An airline reports that 85% of its flights arrive on time. To find the probability that its next four flights into LaGuardia Airport all arrive on time, can we multiply (0.85)(0.85)(0.85)(0.85)? Why or why not?

Answers

Answer 1

Answer:

The answer is "no".

Step-by-step explanation:

No, because the probability besides simultaneous flights to arrive on time are not self-sufficient for every flight (when the first flight was late, therefore the probabilities during the next flight were significantly greater), because then the standard multiplication principle would be used for explanatory variables.

Answer 2

Yes, we can multiply (0.85)(0.85)(0.85)(0.85)

Let the four flight be represented by A, B, C, and D respectively

Probability that each of the flights arrive on time is 0.85

That is:

Probability that flight A arrives on time, P(A) = 0.85

Probability that flight B arrives on time, P(B) = 0.85

Probability that flight C arrives on time, P(C) = 0.85

Probability that flight D arrives on time, P(D) = 0.85

Probability that the next four flights arrive on time will be:

P(A) x P(B) x P(C) x P(D) = 0.85 x 0.85 x 0.85 x 0.85

Yes, we can multiply (0.85)(0.85)(0.85)(0.85)

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Related Questions

f is a function that is differentiable for all reals. The value of f '(x) is given for several values of x in the table below.
x -8 -3 0 3 8
f '(x) 5 4 0 -2 -4
If f '(x) is always decreasing, which statement about f(x) must be true?


a.
f(x) has a relative maximum at x = 0.

b.
f(x) is concave upwards for all x.

c.
f(x) has a point of inflection at x = 0.

d.
f(x) passes through the origin.

Answers

9514 1404 393

Answer:

  a.  f(x) has a relative maximum at x = 0.

Step-by-step explanation:

Since f' is decreasing, the second derivative is negative. That means the graph is concave downward, so any critical point is a relative maximum.

  f(x) has a relative maximum at x=0 (where f'(0) = 0)

__

There is no indication that the second derivative is ever zero, so there is no point of inflection.

No values of f(x) are given, so we cannot say whether the function passes through the origin.

The tables represent two linear functions in a system
х
y
-6
-22
-3
-10
0
2
3
14
What is the solution to this system?
х
-6
-3
0
3
y
-30
-21
-12
-3
01-13-25)
0 (-34 -54)
O (-13, -50)
O (-14, -54)

Answers

Answer:

(-14, -54)

Step-by-step explanation:

Let's call the functions f and g

f(x) = ax + b

f(0) = a*0+b = 2

f(3) = a*3 + b = 14

From f(0) = 2 we know that b = 2

f(3) - f(0) = a*3 = 14 - 2

a = 4

We know that f(x) = 4x + 2

g(x) = cx + d

g(0) = -12

g(3) = -3

From g(0) = -12 we know that d = -12

g(3) - g(0) = c*3 = -3 - (-12) = 9

c = 3

We know that g(x) = 3x - 12

Now we need to solve

4x + 2 = 3x - 12

x + 2 = -12

x = -14

y = 4*(-14) + 2 = -56 + 2 = -54

y = 3*(-14) - 12 = -42 - 12 = -54

Checks out.

The solution to the system of linear functions that is represented by both tables is: (-14, -54).

What is the Solution of a System of Linear Functions?

The solution of a system of two linear function is the point where the the x-coordinate and the y-coordinate of both linear functions are the same.

To find the solution, state the equation that represents each of the functions in the given tables:

y = 4x + 2 represents table 1

y = 3x - 12 represents table 2.

Thus, set both equations equal to each other.

4x + 2 = 3x - 12

Combine like terms

4x - 3x = -2 - 12

x = -14

Find the value of y by substituting x = -14 into y = 3x - 12:

y = 3(-14) - 12

y = -54.

Therefore, the solution to the system of linear functions that is represented by both tables is: (-14, -54).

Learn more about system of linear functions on:

https://brainly.com/question/8627594

Question 11 of 49
If angles A and B are consecutive interior angles, what is the measure of
angle B if angle A measures 75 ?
A. 75
B. 105
C. 90°
ОО
D. 180°

Answers

Answer:

[tex]B = 105[/tex]

Step-by-step explanation:

Given

[tex]A = 75[/tex]

Required

Find B

If A and B are consecutive interior angles, then

[tex]A + B = 180[/tex]

Substutute 75 for A

[tex]75 + B = 180[/tex]

[tex]-75+75 + B = 180 - 75[/tex]

[tex]B = 105[/tex]

i dont know the answer please help me

Answers

Use the app Photomath it gives out the answer!!!!
9/4 ab ^8 or 2.25ab^8

Consider the functions k(x) = x + 1, m(x) = x - 4, n(x) = x + 5, and f(x) = k(x) • m(x) · n(x). a. Determine the degree of the function f(x).​

Answers

Answer:

[tex]Degree = 3[/tex]

Step-by-step explanation:

Given

[tex]k(x) = x + 1[/tex]

[tex]m(x) = x - 4[/tex]

[tex]n(x) = x + 5[/tex]

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

Required

The degree of f(x)

First, calculate f(x)

[tex]f(x) = k(x) * m(x) * n(x)[/tex]

[tex]f(x) = (x +1) * (x - 4) * (x + 5)[/tex]

Expand

[tex]f(x) = (x +1) * (x^2 - 4x + 5x - 20)[/tex]

[tex]f(x) = (x +1) * (x^2 + x - 20)[/tex]

Further Expand

[tex]f(x) = x^3 + x^2 - 20x +x^2 + x - 20[/tex]

Collect like terms

[tex]f(x) = x^3 + x^2 +x^2 - 20x + x - 20[/tex]

[tex]f(x) = x^3 + 2x^2 - 19x- 20[/tex]

The degree of f(x) is the highest power of x.

Hence:

[tex]Degree = 3[/tex]

A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8,000. A survey of owners of that tire design is conducted. From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9,800 miles. Using alpha 0.05, is the data highly inconsistent with the claim?

Answers

Answer:

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

Step-by-step explanation:

Given the data in the question;

x' = 46500

σ = 8000

sample size n = 28

Null hypothesis              H₀ : μ ≥ 50000

Alternative hypothesis  H₁ : μ < 50000

level of significance ∝ = 0.05

Using Test statistics;

Z = [(x' - μ ) / (σ√n)] ~ (0,1)

we substitute

Z = [(46500 - 50000 ) / (8000√28)]  

= -3500 / 1511.85789

= - 2.31

{ since alternative  hypothesis is left tailed } from z-table;

p-value = P( z ≤ -2.32 )

p-value = 0.01044

Hence, P-value ( 0.01044 ) is less than level of significance ( 0.05 )

We reject H₀

Reject the claim that deluxe tires averages at least 50000 miles before it needs to be replaced.

∴ the data is highly inconsistent with the claim

100 POINTS AND BRAINLIEST IF YOU USE EXPLANATION

What type of table or graph do you use to help you make a histogram?

A.
a dot plot

B.
a frequency table

C.
a circle graph

D.
a bar graph

Answers

Answer:

B

Step-by-step explanation:

Answer:

D. a bar graph

Step-by-step explanation:

a bat graph because it keeps track of data that changes over time

Show work please!!!!!!!!

Answers

Answer: 18
Step by step: 1: 48 x 3/8
2: 48/1 x 3/8 3: 144/8. 4: 18

Answer:

18

Step-by-step explanation:

48÷8

=6x3

=18

:) hope it's help on your work

The ratio of faculty members to students at a college is 1:60. There are
1,220 students. Approximately how many faculty members are there?

Answers

Answer:

either 20 or 21

Step-by-step explanation:

i think you just cross multiply like 1/60=x/1220

x=20.3 but you cant have part of a faculty member, so i believe its 20

(=^w^=)

A circle has a radius of 12. what is the circumference of the circle

Answers

C=pi 2r
Pi 2 x 12
24 pi =75.36

Answer:

14 because of its addition

Step-by-step explanation:

πr²=x

=12+2+x

=14

what is 15x-24x, this is very urgent please​

Answers

Answer:

-9x

Step-by-step explanation:

the answer is -9x. hope this helped!

answer and show proof for brainliest

Answers

Answer:

the answer is the 4th one

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

We can cross B and D out because tho it has a circle on 36, the passage said greater than or equal to meaning it will be colored in.

We can then cross C out because it said less than on 48 which mean it will not be colored in on the circle, 48

I think I found the worksheet for you

https://www.lcps.org/cms/lib/VA01000195/Centricity/Domain/2053/Answer%20Key%20%20MORE%20Review%20Sheets%20for%20Solving%20and%20Graphing%20Inequalities.pdf

Just copy and paste that to ur search bar

What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10

Answers

Answer:

1000 / 100

Step-by-step explanation:

Answer:

ff

Step-by-step explanation:

Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is not allergic to penicillin and the test predicts it?

A.
0.005

B.
0.015

C.
0.245

D.
0.735

Answers

Answer:

C

Step-by-step explanation:

Answer:

Here is the answer

Step-by-step explanation:

How do you do this questions

Answers

Answer:

Step-by-step explanation:

That should be right :) I tried

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

C. 27

Step-by-step explanation:

If ther are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the sane with the cats

9*3=27 therefore the answer is 27.

Answer:

C. 27

Step-by-step explanation:

If there are 45 dogs and the ratio is 5:3 you multiply 5 to get to 45.

so... 9*5=45

and you do the same with the cats

9*3=27 therefore the answer is 27.

If a certain number x is multiplied by 6
It will be equal to four less than twice
the same number?​

Answers

Answer: x= -1

Step-by-step explanation: 6x = 2x-4 4x= -4 and x=-1

From the given statement the unknown number is found to be - 1

The given statements can written in algebraic form as follows;

the unknown number = x

the number  is multiplied by 6 = 6x

four less than twice the same number = 2x - 4

then, from the given statement the final equation equation becomes;

6x = 2x - 4

This unknown number can be solved by collecting similar terms together;

6x - 2x = -4

4x = -4

divide through by 4

[tex]\frac{4x}{4} = \frac{-4}{4} \\\\x = -1[/tex]

Thus, the unknown number is - 1

Learn more here: https://brainly.com/question/24369824

same thing as last. nearest 100th

Answers

Answer:

452.39 mi^2

Step-by-step explanation:

A = πr^2

A = π (12mi)^2

A = 452.39 mi^2

Please mark Brainliest :D

Please mark Brainliest :D

You and your friend are
sharing 3/8 of a bag of candy.
How much of the bag will each
of you get if you share it
evenly?
Which operation will you
use for this problem (circle
one)
+ -
X =

Answers

Answer:

Each freind will get 3/16 of  bag of candy

and Multiplication

18 = 3 • y helppppppppppppppp

Answers

Answer:y=6 3*6=18

Step-by-step explanation:+ 6 IS Correct

PLEASE HELP!! I keep getting bots or trolls

How can you restrict the domain of the function f(x) = |x + 4| − 2 so the range of the inverse function, f -1(x), is [-4, ∞)?
A.
x ≥ 4
B.
x ≥ -4
C.
x ≥ 0
D.
x < 4
E.
x ≥ -2

Answers

Answer:

a

Step-by-step explanation:

For the right triangle shown, what is the sine of angle C?

Answers

Answer:

0.5

Step-by-step explanation:

Angle C is 30°     since 180° minus 90°, the right angle B,  - 60°, angle A.

Sin 30° = 0.5

A polling agency reported that the proportion of 12th grade students who are engaged is 0.34. Engagement is defined as​ students' involvement and enthusiasm with school. The superintendent of one high school district believes the engagement of her students is higher than the proportion reported. She randomly surveys 90 of the 3600 students in the district and finds that 38 reported being engaged in school.

Required:
a. What type of variable is "engaged"?
b. What is the sample proportion of students in this high school district who are engaged?

Answers

Answer:

a) "engaged" is a quantitative and continuous variable.

b) The sample proportion of students in this high school district who are engaged is 0.4222

Step-by-step explanation:

Given the data in the question;

Polling reports shows that 0.34 12th grade students are engaged

the principal surveyed 90 of the 3600 students,

number of students reported to be engaged is 38

a)

"engaged" is a quantitative and continuous variable.

b) the sample proportion of students in this high school district who are engaged.

Sample proportion of engaged = number of students reported to be engaged / total number of students surveyed

so

Sample proportion of engaged = 38 / 90

Sample proportion of engaged = 0.4222

Therefore, the sample proportion of students in this high school district who are engaged is 0.4222

Pleaseeeee help!!! I’ll give you best answer!!!!Solve each equation by completing the square.
2) x2 + 14x + 48 = 0

Answers

Answer:

x=-8

x=-6

Step-by-step explanation:

Don't really know how to explain this. I never was good at completing the squares.

Hope that this helps!

D 2. Squares, rectangles, and rhombi åre types of trapezoids.
True
O
False

Answers

Answer:

false

Step-by-step explanation:

please help i’ll give brainliest

Answers

In a 45 - 45 - 90 right triangle, the hypotenuse is √2 · legs = hypotenuse, so legs=[tex]\frac{\sqrt{5}}{\sqrt{2}}[/tex] and to rationalize the denominator all we have to do is multiply the numerator and denominator by √2. [tex]\frac{\sqrt{10}}{2}[/tex].

The answer is radical 5/2

Helppppp plsssssssssssssssssssssss

Thansk!

Answers

Answer:

60.

Step-by-step explanation:

we have a decimal so we need to get rid of it, move It over twice.

1.5, 15.

and do the same for 9

90., 900.

now we can divide

60.

15 900.

90

00

0

A submarine was twenty feet below the surface of the water and descended an additional thirty-two and a half feet. Eventually the submarine ascended forty feet toward the surface of the water. What is the location of the submarine in the water?

12 feet below the surface of the water
12.5 feet below the surface of the water 52.5 feet below the surface of the water 92.5 feet below the surface of the water​

Answers

Answer: 12.5ft below the surface

Step-by-step explanation:

PLEASE HELP NO LINK ANSWER I WILL GIVE BRAINLY THING BOTH QUESTIONS PLEASE ​

Answers

1: glucose and 2 is stomach

Answer: 33. Glucose 34. stomach

Step-by-step explanation:

can someone please draw lines on this

Answers

Answer:

I don't think someone can do that-

Step-by-step explanation:

Answer:

yes here you go

Step-by-step explanation:

:)

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