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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After 5 hours, how far apart are the boats? Label the distance(s) on your drawing from the first problem.
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
1. When x is 1, what value of y makes the equation true?
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
What's the answer to -5x+8=-4x+9?
Answer:
Step-by-step explanation:
-5x + 8 = -4x + 9
-x + 8 = 9
-x = 1
x = -1
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
Answer:
B
Step-by-step explanation:
650000 = 10⁵x 6.5
Answer:
The answer is b.
Step-by-step explanation:
What is the slope of the line passes through the points (-2,-3) and (5,4)?
The slope is 1.
Step-by-step explanation:
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
Answer:
6 seconds
Step-by-step explanation:
Just took the test :)
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.
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
!ANSWER QUICK! the volume of a cone is 84π ft³. If the hole is 7ft deep, what is the radius of the hole?
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
Hey can anyone pls answer dis math problem!!
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
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? *
Answer:
6 parts yellow
Step-by-step explanation:
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
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
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.
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].
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.
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.
write an equation of the line perpendicular to the given line that contains P in point slope form? P (4,8) y=4x-7
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 - 7The 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!
Help - I’m failing math and I might get held back so please just help
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
I am in need of help
Answer:
The last one
Step-by-step explanation:
what is 4(3x 6y) equivalent to?
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:
what is the factored form of 5(8 + 3x) + 5?
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
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
hey what's
[tex] \sqrt{9} [/tex]
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
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
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
Find the degree of polynomial 2x⁵-10x⁴-5x²+12x⁸-6
help
which of the following could not be the lengths of the sides of a triangle
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.☺️
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?
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.
i'm so confused please hurry
Answer:
y = 5x = -5z = 10Step-by-step explanation:
For Explanation , see image
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?
Answer:
2/5+1/3=6/15+5/15=11/15
30.000+24.000+15.000 =69.000
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)
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 :)
Describe y= -3x+4 in words.
Answer:
y=-3x+4
put x =0
y=-3(0)+4
y=4
putx=1
y=-3(1)+4
y=-3+4
y=1
Graph the linear equation x=−1.
18m = 36
Please help me with this for brainliest HURRYYYY
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