A traffic light near a museum is green for 30 seconds, yellow for 5 seconds, and red for 15 seconds. If 8 vehicles approach the signal, the probability that 3 of them are stopped by the red light is

Answers

Answer 1

Answer: The correct answer for the question that is being presented above is this one: "3/8" A traffic light near a museum is green for 30 seconds, yellow for 5 seconds, and red for 15 seconds. If 8 vehicles approach the signal, the probability that 3 of them are stopped by the red light is 3/8

Answer 2

Answer:

Answer: 0.254

Explanation: I got this right on Edmentum

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B) reluctant migration
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Answers

d all of these migration is any type of movement away from a area

Determine which functions have two real number zeros by calculating the discriminant, b2 – 4ac. Check all that apply. Please answerf(x) = x2 + 6x + 8
g(x) = x2 + 4x + 8
h(x) = x2 – 12x + 32
k(x) = x2 + 4x – 1
p(x) = 5x2 + 5x + 4
t(x) = x2 – 2x – 15

Answers

By definition, we have that the discribinamte is given by:
$b ^ 2 - 4ac$
If the discriminant is greater than zero, then the function has two real roots.
We then have to calculate the discriminant for each function:

For $f (x) = x ^ 2 + 6x + 8:$
$b ^ 2 - 4ac = 6 ^ 2 - 4 (1) (8) b ^ 2 - 4ac = 36 - 32 b ^ 2 - 4ac = 4$
The function has two real roots.

For $g (x) = x ^ 2 + 4x + 8$
$b ^ 2 - 4ac = 4 ^ 2 - 4 (1) (8) b ^ 2 - 4ac = 16 - 32 b ^ 2 - 4ac = -16$
The function does not have two real roots.

For $h (x) = x ^ 2 - 12x + 32$
$b ^ 2 - 4ac = (-12) ^ 2 - 4 (1) (32) b ^ 2 - 4ac = 144 - 128 b ^ 2 - 4ac = 16$
The function has two real roots.

For $k (x) = x ^ 2 + 4x - 1$ :
$b ^ 2 - 4ac = (4) ^ 2 - 4 (1) (- 1) b ^ 2 - 4ac = 16 + 4 b ^ 2 - 4ac = 20$
The function has two real roots.

For $p (x) = 5x2 + 5x + 4$ :
$b ^ 2 - 4ac = (5) ^ 2 - 4 (5) (4) b ^ 2 - 4ac = 25 - 80 b ^ 2 - 4ac = -55$
The function does not have two real roots.

For $t (x) = x ^ 2 - 2x - 15$ :
$b ^ 2 - 4ac = (-2) ^ 2 - 4 (1) (- 15) b ^ 2 - 4ac = 4 + 60 b ^ 2 - 4ac = 64$
The function has two real roots.

Answer:
functions have two real number zeros
$f (x) = x ^ 2 + 6x + 8 h (x) = x ^ 2 - 12x + 32 k (x) = x ^ 2 + 4x - 1 t (x) = x ^ 2 - 2x - 15$

f(x) = x^2 + 6x + 8
= b^2 - 4ac
= (6)^2 - 4(1)(8)
= 36 - 4(8)
= 36 - 32
= 4

g(x) = x2 + 4x + 8
= b^2 - 4ac
= (4)^2 - 4(1)(8)
= 16 - 4(8)
= 16 - 32
= -16

h(x) = x2 – 12x + 32
= b^2 - 4ac
= (-12)^2 - 4(1)(32)
= 144 - 4(32)
= 144 - 128
= 16

k(x) = x2 + 4x – 1

= (4)^2 - 4(1)(-1)
= 16 - 4(-1)
= 16 + 4
= 20

p(x) = 5x2 + 5x + 4
= b^2 - 4ac
= (5)^2 - 4(5)(4)
= 25 - 4(20)
= 25 - 80
= -55

t(x) = x2 – 2x – 15
= b^2 - 4ac
= (-2)^2 - 4(1)(-15)
= 4 - 4(-15)
= 4 + 60
= 64

The main reason that the United States sent troops to Bosnia in 1995 was to try toa. bring a peaceful end to a civil war.
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Answers

a. to bring peace end to a civil war

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Answers

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d. use of checks and balances between the three branches of government

Answers

The action that is most consistent with the practices of seventeenth century mercantilism is difference in the function of the public and private sectors of the economy.

During a hot summer, Blake’s house is extremely warm inside. In order to repair what needs to be fixed to make his house more comfortable, Blake should call a

Answers

Answer:

A.) Heating and Air Conditioning Mechanic

Explanation:

I am not sure why the other guy above me said D.) Mechanical Door Repairer. That doesn't really make much sense, knowing that it's constantly warm inside Blake's house during summer.

A seems more reasonable to me. Down below is proof that this answer should be correct. (I always like to show proof so it's a definite answer).

Answer:

Explanation:

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