At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.08 and the probability that the flight will be delayed is 0.14. The probability that it will rain and the flight will be delayed is 0.04. What is the probability that it is not raining and the flight leaves on time? Round your answer to the nearest thousandth.

Answers

Answer 1

The probability that it is not raining and the flight leaves on time at LaGuardia Airport is 0.82.

What is probability that it is not raining and the flight leaves?

Let's denote the event that it rains as R

The event that the flight is delayed as D

The event that it is not raining as ¬R (complement of R).

We are given these probabilities:

P(R) = 0.08 (probability of rain)

P(D) = 0.14 (probability of flight delay)

P(R ∩ D) = 0.04 (probability of rain and flight delay)

The probability rules that will be used calculate the probability that it is not raining (¬R) and the flight leaves on time (¬D) is:

P(¬R ∩ ¬D) = 1 - P(R ∪ D)

= 1 - [P(R) + P(D) - P(R ∩ D)]

= 1 - [0.08 + 0.14 - 0.04]

= 1 - 0.18

= 0.82.

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Related Questions

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Answers

Complete question :

Write a system of equations, with one equation describing the cost to bowl at Bowl-o-Rama and the other describing the cost to bowl at Bowling Pinz. For each equation, let x represent the number of games played and let y represent the total cost.

Bowl-O-Rama rents shoes for $2 and each game cost $2.50

Bowling Pinz rents shoes for $4 and each game cost $2

Answer:

Bowl-O-Rama:

y = $2 + $2.50x

Bowling pinz:

y = $4 + $2x

Step-by-step explanation:

The total cost is the sum of shoe rental plus the product of the unit game rate and the number of games played.

Total cost, y

x = number of games played

Bowl-O-Rama:

y = Shoe rent + (unit rate per game * number of games)

y = $2 + ($2.50 * x)

y = $2 + $2.50x

Bowling Pinz :

y = Shoe rent + (unit rate per game * number of games)

y = $4 + ($2 * x)

y = $4 + $2x

Pleasee helpppp
If you are using indirect measurement, what is true?



A.You must convert dimensions to the same unit of measurement.


B.You do not have to convert dimensions to the same unit of measurement.

Answers

Answer:

The anwser is B forsho

Step-by-step explanation:

'Direct measurement' refers to measuring exactly the thing that you are looking to measure, while 'indirect measurement' means that you're measuring something by measuring something else. For example of direct measurement is weight, distance, and so on.

a rock is thrown in the air from the edge of a seaside cliff. it's height in feet is represented by f(x) = - 16(ײ-8x-9), where is the numbers of seconds since the rock was thrown. the height of the rock is 0 feet when it hits water​

Answers

Answer:

6 seconds

Step-by-step explanation:

Just took the test :)

Graph the linear equation x=−1.

Answers

X=-1 Should look like a vertical line that Intersects through -1

To get the right shade of paint, the paint store mixes 1 part yellow with
every 7 parts blue. If 42 parts blue are used, how many parts yellow will be
added to the paint? *

Answers

Answer:

6 parts yellow

Step-by-step explanation:

which of the following could not be the lengths of the sides of a triangle ​

Answers

Answer:

option A is correct answer .

Step-by-step explanation:

a triangle cannot be formed with the sides 8,5 and 15.

5+8 = 13 is not greater than 15.

plz mark my answer as brainlist if you find it useful.☺️

Escribir un numero entero que represente cada una de las expresiones a. Un globo aerostatico 200 m sobre el nivel del mar. b. 500 años antes de cristo. c. Una deuda de L. 600.00 d. 7 minutos de retraso e. 2 grados bajo cero f. El delfin salto 4 metros sobre el nivel del mar.

Answers

Answer:

a) [tex]h = +200[/tex], b) [tex]t = -500[/tex], c) [tex]c = -600[/tex], d) [tex]t = +7[/tex], e) [tex]T = +2[/tex], f) [tex]h = +4[/tex].

Step-by-step explanation:

a) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +200[/tex].

b) Sea [tex]t[/tex] el año con respecto al momento cuando nace el Cristo. Asúmase como positivo el año posterior al año del nacimiento del Cristo. Entonces, la forma matemática equivalente es [tex]t = -500[/tex].

c) Sea [tex]c[/tex] el balance de cuenta. Asúmase como positiva la acreencia de dinero. La acreencia es lo opuesto de la deuda. Entonces, la forma matemática equivalente es [tex]c = -600[/tex].

d) Sea [tex]t[/tex] el tiempo con respecto al instante de referencia y esperado de un evento. Asúmase como positivo el retraso. El retraso es lo opuesto del adelanto. Entonces, la forma matemática equivalente es [tex]t = +7[/tex].

e) Sea [tex]T[/tex] la temperatura con respecto al punto de referencia o de "temperatura cero". Asúmase como positiva toda temperatura mayor que ese punto de referencia. Entonces, la forma matemática equivalente es [tex]T = +2[/tex].

f) Sea [tex]h[/tex] la distancia vertical con respecto al nivel del mar. Asúmase como positiva la distancia vertical por encima del nivel del mar. Entonces, la forma matemática equvalente es [tex]h = +4[/tex].

Describe y= -3x+4 in words.

Answers

Answer:

y=-3x+4

put x =0

y=-3(0)+4

y=4

putx=1

y=-3(1)+4

y=-3+4

y=1

Adeel and shayan are given money in the ratio 4:5 if adeel has RS 1179 after the adjustment, how much did he have in the original share out

Answers

Answer:

$2652.75

Step-by-step explanation:

Let b represent the original amount shared out

The equation representing how much adeel received is

4/9 x b = RS 1179

To find b, divided both sides by 9/4

b = $2652.75

Select three expressions that are equivalent to 12y + 18 by factoring,
6(2 + 3y)
2(6 + 9)
209 + 6y)
6(3 + 2y)
3(4y + 6)

Answers

Answer:

3(4y + 6)

6(3 + 2y)

2(9+6y)

Step-by-step explanation:

When factored, all of them are equivalent to 12y + 18.

Answer:

6(2 + 3y), 6(3 + 2y), and 3(4y + 6)

Step-by-step explanation:

6(2 + 3y)= 18y+12

2(6 + 9)=30

209 + 6y)= can't factor

6(3 + 2y)= 12y+18

3(4y + 6)=12y+18

hope this helps :)

Find the degree of polynomial 2x⁵-10x⁴-5x²+12x⁸-6
help​

Answers

y= 2x ^ 5 + 10x ^ 4 - 5x ^ 2 + 12x ^ 8 - 6
Intercept is (0,-6)

A flagpole is 35 feet tall. A girl standing nearby who is 4 feet tall casts a shadow that
is 3 feet long. How long is the shadow of the flagpole (at the same time) to the
nearest foot?

Answers

Answer:

26 ft. =  the length of the flagpole's shadow to the nearest foot

Step-by-step explanation:

Let f = the length of the flagpole's shadow

girl's height/flagpole's height = girl's shadow length/flagpole's shadow length

4/35 = 3/f

4f = 105

f = 26.25 ft. ≅ 26 ft =  the length of the flagpole's shadow to the nearest foot.

Help - I’m failing math and I might get held back so please just help

Answers

Answer:

[tex] \frac{y}{34} [/tex]

Step-by-step explanation:

Cosine is the adjacent side of the triangle divided by the hypotenuse.

The numerator is going to be the side adjacent to the angle 53

So the top number is y.

The hypotenuse is the side opposite of the right angle. So the bottom number is 34

hey what's
[tex] \sqrt{9} [/tex]

Answers

Answer:

√9= either +3 or -3 when u have factorised

Answer:

\sqrt{9} = ±3

as, the value of the square root of 9 can be expressed as +3 and -3 or we can say the roots of 9 are +3 and -3. Number 9 is the perfect square as it fulfils the criteria .

ENGOY YOUR DAY

#Captainpower

what is the factored form of 5(8 + 3x) + 5? ​

Answers

Answer:

15(3+x)

Explanation:

5(8+3x+1)

5(9+3x)

5•3(3+x)

15(3+x)

what is 4(3x  6y) equivalent to?

Answers

Answer:

2x/y ??

Step-by-step explanation:

Answer: If the sign missing is supposed to be a plus sign, then the answer is 12x+24y

Step-by-step explanation:

!ANSWER QUICK! the volume of a cone is 84π ft³. If the hole is 7ft deep, what is the radius of the hole?

Answers

Answer:

6 ft

Step-by-step explanation:

volume of cone πr^2 (h/3)

84π = πr^2 (7/3)

84π/(7/3) = r^2π

84/(7/3) = r^2

sqrt (84 /(7/3)) = r

6 = r

Una calidad de queso vale los 2/5 de $30.000; una segunda calidad vale 1/3 de $24.000 y una tercera calidad vale el doble de un tercio de $15.000. ¿Cuánto valen juntas las tres calidades de queso?

Answers

Answer:

2/5+1/3=6/15+5/15=11/15

30.000+24.000+15.000 =69.000

Lines a and b are parallel. Parallel lines a and b are cut by transversals s and t. The angles formed by the intersection of lines a, s, and t, clockwise from top left are blank, blank, blank, blank, (7 x) degrees, blank; formed by lines b and s are blank, blank, blank, (11 x) degrees; formed by lines b and t are 90 degrees, blank, blank, blank. What is the value of x? 5 10 35 55

Answers

Answer:

x = 5

Step-by-step explanation:

Given that, exterior angles on the same side of a traversal are supplementary a Hence, sums up to 180°

Given the angles:

7x° + 11x° + 90° = 180°

18x° + 90° = 180°

18x° = 180° - 90°

18x° = 90°

x = 90° ÷ 18

x = 5

Answer:

The Person ^ is Correct the Answer is X=5

Step-by-step explanation

You Have a Brain, Use It

What's the answer to -5x+8=-4x+9?

Answers

The answer to the equation is x= -1

Answer:

Step-by-step explanation:

-5x + 8 = -4x + 9

-x + 8 = 9

-x = 1

x = -1

After 5 hours, how far apart are the boats? Label the distance(s) on your drawing from the first problem.

Answers

Answer:

The distance between them is 277.84 m

Step-by-step explanation:

See comment for complete question.

Given

Boat A:

[tex]Speed = 24mph[/tex]

[tex]\angle A = 340^{\circ}[/tex]

Boat B:

[tex]Speed = 35mph[/tex]

[tex]\angle B = 200^{\circ}[/tex]

[tex]Time = 5hr[/tex]

First, we calculate the distance traveled by both boats in 5 hours

[tex]Distance= Speed * Time[/tex]

[tex]Boat\ A = 24mph * 5hr = 120m[/tex]

[tex]Boat\ B = 35mph * 5hr = 175m[/tex]

For more clarity, I'll make use of the attached image to represent the system.

From the attachment, we are to calculate distance C, but first we calculate the angle between them.

[tex]\theta = 340^{\circ} - 200^{\circ}[/tex]

[tex]\theta = 140^{\circ}[/tex]

C is then calculated using cosine law:

[tex]C^2 = A^2 + B^2 - 2BC\ Cos\theta[/tex]

This gives:

[tex]C^2 = 120^2 + 175^2 - 2*120*175\ Cos(140^{\circ})[/tex]

[tex]C^2 = 120^2 + 175^2 - 2*120*175*-0.7660[/tex]

[tex]C^2 = 14400 + 30625 + 32172[/tex]

[tex]C^2 = 77197[/tex]

Take square root of both sides:

[tex]C = \sqrt{77197[/tex]

[tex]C = 277.84[/tex]

The distance between them is 277.84 m

I am in need of help

Answers

Answer:

The last one

Step-by-step explanation:

Hey can anyone pls answer dis math problem!!

Answers

Answer:

Step-by-step explanation:

you have to multiply the bracets by the factor

then add +1 to both sides

Equation :

[tex]y=\frac{-3}{4}x-2[/tex]

yes, it's the same as b

write an equation of the line perpendicular to the given line that contains P in point slope form? P (4,8) y=4x-7

Answers

Answer:

y - 8 = -1/4(x - 4)

Step-by-step explanation:

Perpendicular lines have negative-reciprocal slopes.

The line contains point P(4, 8)

Point slope form:

y - y₁ = m(x - x₁)

Given line:

y = 4x - 7

The slope of the perpendicular line is m = -1/4.

The line in point-slope form is:

y - 8 = -1/4(x - 4)

Answer:

y - 8 = -1/4(x - 4)

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = 4x - 7. Its slope is 4. A line perpendicular to this one will have a slope of -1/4, the reciprocal (opposite) of the given equation.

Plug this value (-1/4) into your standard point-slope equation of y - y₁ = m(x - x₁)

y - y₁ = -1/4(x - x₁)

To find x₁ and y₁, we want to plug in a value that we know is on this line: in this case, it is P (4, 8). Plug in the x and y values into the x₁ and y₁ of the standard equation.

y - 8 = -1/4(x - 4)

This equation is perpendicular to your given equation (y = 4x - 7) and contains point P (4, 8)

Hope this helps!

What is the slope of the line passes through the points (-2,-3) and (5,4)?​

Answers

The slope is 1.

Step-by-step explanation:

The slope will be 1.

18m = 36

Please help me with this for brainliest HURRYYYY

Answers

Answer: m=2

Step-by-step explanation: Hope this help :D

Let's solve your equation step-by-step.

18m=36

Step 1: Divide both sides by 18.

18m/18=36/18

m=2

Use the information to answer the question.
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
To the nearest meter, how many meters are in 275 inches? Enter the answer in the box.
meters
0

Answers

Answer:

7 m

Step-by-step explanation:

We are told that;

100 cm = 1 m

Thus; 2.54 cm = 2.54 × 1/100 = 0.0254 m

This means that;

1 inch = 0.0254 m

Thus; 275 inches will give; 275 × 0.0254/1 = 6.985 m

Approximating to the nearest metre gives 7 m

i'm so confused please hurry

Answers

Answer:

y = 5x = -5z = 10

Step-by-step explanation:

For Explanation , see image

1. When x is 1, what value of y makes the equation true?

Answers

Answer:

Step-by-step explanation:

-0.5

Step-by-step explanation:

If x is 1, plug it into the equation.

So, y=-3(1) + 2.5

-3(1) = -3

now add.

-3+2.5 = -0.5

so that should give you y = -0.5

The number 650,000 written in scientific notation would be _____.

A.6.5 × 10 -5
B.6.5 × 10 5
C.65 × 10 4
D.0.65 × 10 -6

Answers

Answer:

B

Step-by-step explanation:

650000 = 10⁵x 6.5

Answer:

The answer is b.

Step-by-step explanation:

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