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ira [324]
4 years ago
8

What is the probability that a randomly number from 20 to 30 is divisible by 3 and then divisible by 12 after replacing first

Mathematics
1 answer:
tester [92]4 years ago
7 0
Probability of divisibility by3=4/11
probability of divisibility by 12 =1/11
probability of divisibility by 12 and 3=4/11×1/11
answer is 4/121

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On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(1, 3), a
WARRIOR [948]
From A to B...
distance formula : sqrt ((x2 - x1)^2 + (y2 - y1)^2
(-3,1)....x1 = -3 and y1 = 1
(1,3)....x2 = 1 and y2 = 3
sub
d = sqrt ((1 - (-3)^2 + (3 - 1)^2
d = sqrt ((1 + 3)^2 + 2^2
d = sqrt (4^2 + 2^2)
d = sqrt (16 + 4)
d = sqrt 20
d = 4.47 miles...so from A to B, it was 4.47 miles

from B to C
d = sqrt ((x2 - x1)^2 + (y2 - y1)^2
(1,3)....x1 = 1 and y1 = 3
(5,-1)...x2 = 5 and y2 = 1
sub
d = sqrt ((5 - 1)^2 + (-1 - 3)^2
d = sqrt ((4^2 + (-4^2)
d = sqrt (16 + 16)
d = sqrt 32
d = 5.66......but keep in mind, he only drove half-way...so 5.66/2 = 2.83 miles

for a total of : 4.47 + 2.83 = 7.3 miles <===
4 0
3 years ago
A tiene la mitad de lo que tiene B. Si A gana 66 y B pierde 90. A tendrá del doble de lo que le quede a B ¿cuanto tiene cada uno
Oksana_A [137]

Respuesta:

a = 82; b 164

Explicación paso a paso:

a = 1 / 2b - - - (1)

a gana 66 = a + 66

b = b - 90

a = 2b

a + 66 = 2 (segundo - 90) - - - (2)

Ponga a = 1 / 2b en (2)

1 / 2b + 66 = 2 (b-90)

0.5b + 66 = 2b - 180

0.5b - 2b = - 180 - 66

-1,5b = - 246

b = 164

a = 1 / 2b

a = 1/2 * 164

a = 82

7 0
3 years ago
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tankabanditka [31]

Answer:

D because mean is the subtraction of the biggest number and the smallest. so 17-8=9

7 0
3 years ago
Read 2 more answers
(-13 + 16i) + (4i + 3)
Allisa [31]

Answer:

Step-by-step explanation:

-10 + 20 i

4 0
3 years ago
Read 2 more answers
The uniform 10 kg ladder rests against the smooth wall at B and the end A rests on the rough horizontal plane for which the coef
777dan777 [17]

Answer:

Angle of inclination = 16.7°; normal reaction = 93.96N

Step-by-step explanation:

Frictional force is known as force of opposition that tends to oppose the motion of a body (moving force Fm) placed on a rough surface. Frictional force Ff is expressed as;

Ff = nR where;

n is the coefficient of static friction

R is the normal reaction

From the formula;

n = Ff/R

Where Ff = Fm = Weight of the object × sinθ i.e Wsinθ

and R = Wcosθ

n = wsinθ/wcosθ

n = sinθ/cosθ

n = tanθ

Given µs = 0.3

0.3 = tanθ

θ = arctan0.3

θ = 16.7°

Angle of inclination is 16.7°

The normal reaction at B if the ladder is on the verge of slipping can be gotten using the expression;

R = wcosθ

R = mgcosθ where

m is the mass of the ladder = 10kg

g is the acceleration due to gravity = 9.81m/s

R = 10×9.81×cos16.7°

R = 93.96N

4 0
4 years ago
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