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dusya [7]
3 years ago
10

When Lucas goes to school, he passes two traffic lights. The probability of showing red is 70% and 80%. How likely is it that at

least one of them shows green on the way to school?
Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

0.44

Step-by-step explanation:

the probability the first one she's green(0.3) plus the probability the second shows green(0.2) minus the probability both occur(0.06) equals 0.44.

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What is the vertical asymptote of f(x)=3/x+5
Rudiy27

Answer:

X = -5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is 13.4 years with a s
Aliun [14]

Answer : 0.0129

Step-by-step explanation:

Given : Based on FAA estimates the average age of the fleets of the 10 largest U.S. commercial passenger carriers is \mu=13.4 years and standard deviation is \sigma=1.7 years.

Sample size : n=40

Let X be the random variable that represents the age of fleets.

We assume that the ages of the fleets of the 10 largest U.S. commercial passenger carriers are normally distributed.

For z-score,

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x=14

z=\dfrac{14-13.4}{\dfrac{1.7}{\sqrt{40}}}\approx2.23

By using the standard normal distribution table , the probability that the average age of these 40 airplanes is at least 14 years old will be :-

P(x\geq 14)=P(z\geq2.23)\\\\=1-P(z

Hence, the required probability = 0.0129

6 0
3 years ago
Solve for x in this equation: 3/4+ |5-x| = 13/4
Rom4ik [11]

Answer:

  x = 2.5 or 7.5

Step-by-step explanation:

Subtract 3/4.

  |5 -x| = 10/4 = 2.5

This resolves to two equations:

  • 5 -x = 2.5   ⇒   x = 5 -2.5 = 2.5
  • 5 -x = -2.5   ⇒   x = 5 +2.5 = 7.5

The solutions are x = 2.5 or 7.5.

5 0
3 years ago
Angela drew 9 rhombuses and 6 trapezoids. She wants to find q, the total number of angles in her quadrilaterals. Explain how Ang
Reil [10]
Both rhombuses and trapezoids have 4 angles. Angela can add 9 and 6 which will give her 15 and multiply by 4 which will give her 60.

Angela has 60 angles.

I hope this helped!!! :)
5 0
3 years ago
Solve this equation.
spin [16.1K]

Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

(6 (6 a + 7))/6 = 6×8

(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

6 a + 7 = 6×8

6×8 = 48:

6 a + 7 = 48

Subtract 7 from both sides:

6 a + (7 - 7) = 48 - 7

7 - 7 = 0:

6 a = 48 - 7

48 - 7 = 41:

6 a = 41

Divide both sides of 6 a = 41 by 6:

(6 a)/6 = 41/6

6/6 = 1:

Answer:  a = 41/6 or a= 6 5/6

7 0
3 years ago
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