which one of the following equations describes the line shown below check all that apply (-1,6) (2,-6)

A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the

posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 $\times$ 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 $\times$ 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time <em>(Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)</em>

So, the required probability is:

$P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }$

5 0

3 years ago

What is the measure of angle CED? There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC

Citrus2011 [14]

I believe the answer is 60 degrees I am a little confused by that question though

5 0

3 years ago

Read 2 more answers

What is the correct evaluation of 4x2 + 4x - 2y2 +3y, when x is equal to -2 and y is equal to 3?

____ [38]

Answer:

-1

Step-by-step explanation:

This all comes down to the substitution. I am assuming that (4x2) is meant to be 4x^2 so I will solve as that.

4(-2)^2 = 4(4) = 16

4(-2) = - 8

-2(3)^2 = -2(9) = -18

3(3) = 9

16-8-18+9= -1

7 0

2 years ago

Ms. Snyder is giving a 28-question test that is made up of multiple choice questions worth 2 points each and open response quest

zlopas [31]

Answer:

x *2 + (28-x)*4 = 100

Step-by-step explanation:

Given

Total number of questions in the paper = 28

Out of these 28 questions let us say that x number of questions are of 2 points and 28-x questions are of 4 points.

Also, the complete test is of 100 marks

Thus, the linear equation representing the

x *2 + (28-x)*4 = 100

8 0

3 years ago

david is president of the student council. When the leadership team met for the for the first time he asked each person to shake

WINSTONCH [101]

15 is (hopefully) the correct answer!

3 0

3 years ago