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3 years ago

There are two traffic lights on Broadway. The probability of being stopped at the first light is

Mathematics

1 answer:

kiruha [24]3 years ago

6 0

Answer:

Most people found the probability of just stopping at the first light and the probability of just stopping at the second light and added them together. I'm just going to show another valid way to solve this problem. You can solve these kinds of problems whichever way you prefer.

There are three possibilities we need to consider:

Being stopped at both lights

Being stopped at neither light

Being stopped at exactly one light

The sum of the probabilities of all of the events has to be 1 because there is a 100% chance that one of these possibilities has to occur, so the probability of being stopped at exactly one light is 1 minus the probability of being stopped at both lights minus the probability of being stopped at neither.

Because the lights are independent, the probability of being stopped at both lights is just the probability of being stopped at the first light times the probability of being stopped at the second light. (0.4)(0.7) = 0.28

The probability of being stopped at neither is the probability of not being stopped at the first light, which is 1-0.4 or 0.6, times the probability of not being stopped at the second light, which is 1-0.7 or 0.3. (0.6)(0.3) = 0.18

The probability at being stopped at exactly one light is 1-0.18-0.28=.54 or 54%.

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Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the

omeli [17]

Answer:

The answer is 53 or Square Root (sqrt) of 2809

Step-by-step explanation:

a^2+b^2=c^2

28^2+45^2=c^2

784+2025=c^2

c^2=sqrt 2809

c = 53

8 0

2 years ago

Read 2 more answers

Solve the following system. If the system's equations are dependent or if there is no solution, state this.

Vedmedyk [2.9K]

Answer:

the answer is c .no solution

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2 years ago

Anita is years older than Basilio. Three times Anita's age added to six times Basilio's age is 36. 1. Define the variables 2. Cr

Scilla [17]

Answer :Anita's age = 7 years

Basilio's age = 2.5 years

Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

13.5 + 3B + 6B = 36

13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

B = 22.5/9 = 2.5

Step 4. Find the value of A

A = 4.5 + 2.5 = 7

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years

6 0

2 years ago

Someone give me the answer

Butoxors [25]

a function that model the number of people that receives email in week t is $P(t)=37(4)^{\frac{t}{9.1}}$ .

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

Here we have , Tobias sent a chain letter to his friends . The number of people who receives the email increases by a factor of 4 in every 9.1 weeks , and can be modeled by a function P, which depends on the amount of time t weeks . Tobias initially sent letter to 37 friends . We need to write a function that model the number of people that receives email in week t . Let's find out:

Basically it's an exponential function as

$f(x) = e^{ax}$ , In question initial value is 37 & and for every 9.1 weeks there is increase in people by a factor of 4 i.e.

⇒ $P(t)=37(4)^t$

But , wait ! People increase in every 9.1 weeks not every week so modified equation will be :

⇒ $P(t)=37(4)^{\frac{t}{9.1}}$

Therefore , a function that model the number of people that receives email in week t is $P(t)=37(4)^{\frac{t}{9.1}}$ .

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2 years ago

X +4/2 = 9<br> What’s z?

kirill [66]

Answer:

x+4/2=9 x=14

Step-by-step explanation:

14+4=18 and 19/2 is equal to 9. Therefore the answer is 14.

6 0

2 years ago