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guajiro [1.7K]
4 years ago
11

The number of traffic accidents per day on a certain section of highway is thought to be Poisson distributed with a mean equal 2

.19. Then the probability of no accidents on this section of highway during one day period is approximately: a. 0.457 b. 0.112 c. 0.296 d. 0.211 e. 0.318
Mathematics
1 answer:
stich3 [128]4 years ago
4 0

Answer:option B is the correct answer

Step-by-step explanation:

The formula for poisson distribution is expressed as

P(x = r) = (e^- µ × µ^r)/r!

Where

µ represents the mean of the theoretical distribution.

r represents the number of successes of the event.

From the information given,

µ = 2.19

For the probability of no accidents on this section of highway during one day period, r = 0

Therefore,

P(x = 0) = (e^- 2.19 × 2.19^0)/0!

P(x = 0) = (e^- 2.19 × 1)/1

P(x = 0) = 0.112

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A rectangular picture has dimensions of 8 in by 12 in this picture is placed in a picture frame with thick border to Listen to B
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3 years ago
Why is it not possible to write the equation of the line through (-8,-5) and (-8,-9) in slope intercept form?
Natalija [7]

Answer:

The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

Step-by-step explanation:

We know the slope-intercept form of line equation is

y = mx+b

where m is the slope and b is the y-intercept

Given the points

  • (-8,-5)
  • (-8,-9)

Finding the slope between (-8,-5) and (-8,-9)

(x₁, y₁) = (-8,-5)

(x₂, y₂) = (-8,-9)

slope = m = (y₂-y₁) / (x₂-x₁)

                = -9 - (-5) / -8 - (-8)

                = -9+5 / -8+8

                = -4 / 0

                = ∞

Thus, the slope = m = ∞

  • The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

In other words, whatever the value of y is, the x-value always remains constant.

In other words, the line will be vertical and the slope of a vertical line will be undefined.

Thus, the equation of this line is:

x = -8

The line graph is also attached.

Therefore, the reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.

7 0
3 years ago
The equations 2 x minus y = negative 2, 3 x + 2 y = 5, 4 x minus y = 2, and 22 x + 10 y = 7 are shown on the graph below. On a c
KiRa [710]

Answer:

<em>The correct answer is First option</em>:

22x+10y=7\\ 2x-y=-2

Step-by-step explanation:

We are given 4 equations:

22x+10y=7\\ 2x-y=-2\\3x+2y=5\ and\ \\4x-y=2

Let us solve the first two:

22x+10y=7...... (1)\\ 2x-y=-2 ...... (2)

Multiplying (2) with 10 and adding to (1):

22x+20x=7-20\\\Rightarrow 42x=-12\\\Rightarrow x = -0.2857 \approx -0.3

So, approximately, value of x is -0.3.

Putting value of x in (2):

2 \times -0.3 - y =-2\\\Rightarrow y = -0.6+2\\\Rightarrow y = 1.4

value of x is approximately -0.3 so y is approximately 1.4.

So, the solution is \approx (–0.3, 1.4)

<em>The correct answer is First option</em>:

22x+10y=7\\ 2x-y=-2

The above two equations have a solution <em>approximately (–0.3, 1.4).</em>

3 0
3 years ago
Read 2 more answers
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