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Marina CMI [18]
3 years ago
8

2. Red light: Pedro drives the same route to work on Monday through Friday. His route includes one traffic light.

Mathematics
1 answer:
Nataly [62]3 years ago
8 0

Answer:

So, the probability is P=0.018.

Step-by-step explanation:

We know that Pedro drives the same route to work on Monday through Friday.  

We know that  there is a 55% chance that the light will be red.  

We get that p=55%=0.55.

We conclude that the probability of not being a red light:

q=1-p=1-0.55=0.45.

We can calculate the probability that from Monday to Friday when Pedro goes to work there will be no red light, as follows:

P=q^5\\\\P=0.45^5\\\\P=0.018

So, the probability is P=0.018.

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AB = 3 + x
ICE Princess25 [194]

The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.

<u>Step-by-step explanation</u>:

ABCD is a quadrilateral with their opposite sides are congruent (equal).

The both pairs of opposite sides are given as AB = 3 + x , DC = 4x , AD = y + 1 , BC = 2y.

  • AB and DC are opposite sides and have same measure of length.
  • AD and BC are opposite sides and have same measure of length.

<u>To find the length of AB and DC :</u>

AB = DC

3 + x = 4x

Keep x terms on one side and constant on other side.

3 = 4x - x

3 = 3x

x = 1

Substiute x=1 in AB and DC,

AB = 3+1 = 4

DC = 4(1) = 4

<u>To find the length of AD and BC :</u>

AD = BC

y + 1 = 2y

Keep y terms on one side and constant on other side.

2y-y = 1

y = 1

Substiute y=1 in AD and BC,

AD = 1+1 = 2

BC = 2(1) = 2

Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.

6 0
3 years ago
help please!! i really don’t understand how to do this and i just need an answer so i can get this class over with ;;
tigry1 [53]

Answer:

1/8

Step-by-step explanation:

(6(3)⁻¹(1))⁻³             n⁰=1

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(2)⁻³

1/(2)³

1/8

Hope it helps

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3 years ago
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Alex777 [14]

Answer:

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Step-by-step explanation:

(4x-3)(x+5)

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= 4x^2+ 20x -3x + 15

= 4x^2 + 17x + 15

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Kryger [21]
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Gabby buys a new purse for $33. The sales tax in her state is 6%. How much is the sales tax?
ankoles [38]

Answer:

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Step-by-step explanation:

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33*0.06=1.98

8 0
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