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4 years ago

6

Suppose that the average number of accidents occurring on a highway each day is 3.5. Find the probability that at least two acci

dents occur today. Find the probability that at most one accident occurs today.

2 answers:

BlackZzzverrR [31]4 years ago

7 0

Answer: 0.1359

Step-by-step explanation:

This is a Poisson distribution. The formula for calculating Poisson distribution is given as :

P (X = x) = $\frac{e^{-λ}λ^{x}}{x!}$

λ = 3.5

To find the probability that at most one accident occur today implies that , accident might not happen at all , the maximum accident that can happen is 1, substituting this into the formula , we have

P(X=0) = $\frac{e^{-3.5}3.5^{0} }{0!}$

P(X=0) = 0.0302

P(X=1) = $\frac{e^{-3.5}3.5^{1} }{1!}$

P(X=1) = 0.1057

Therefore , the probability that at most one accident occurs today.

= 0.0302 + 0.1057

= 0.1359

P(x=2) = $\frac{e^{-3.5}3.5^{2} }{2!}$

P(X=2) = 0.1850

irina1246 [14]4 years ago

3 0

Answer:

48 yards

Step-by-step explanation:

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Find the value of cos θ if the angle θ is in the third quadrant and sinθ= -0.8

Rudiy27

Correct option is D) -0.6.

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

We have $sin\alpha = -0.8$ . Also, we know that $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$ . Let's find out value of $cos\alpha$ using above formula:

$cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (sin\alpha } )^{2}$

⇒ $cos\alpha = \sqrt{1- (-0.8 } )^{2}$

⇒ $cos\alpha = \sqrt{1- (0.64 } )^{}$

⇒ $cos\alpha = \sqrt{0.36}$

⇒ $cos\alpha = 0.6$

But we know that cos $\alpha$ is negative in third quadrant , Therefore $cos\alpha = -0.6$ .

Hence, correct option is D) -0.6.

3 0

3 years ago

6x-4y=-15 and x-4y=1

Harlamova29_29 [7]

Answer:

The solution to the given system of equations is

( $-\frac{16}{5}$ , $-\frac{21}{20}$ )

Step-by-step explanation:

Given system of equation are

$6x-4y=-15\hfill (1)$

$x-4y=1\hfill (2)$

To solve equation by using elimination method

Now subtracting equations (1) and (2)

$6x-4y=-15$

$x-4y=1$

_________________

5x=-16

$x=-\frac{16}{5}$

Substitute $x=-\frac{16}{5}$ in equation (1)

$6(-\frac{16}{5})-4y=-15$

$-\frac{96}{5}-4y=-15$

$-4y=-15+\frac{96}{5}$

$-4y=\frac{21}{5}$

$y=-\frac{21}{20}$

Therefore the solution is

( $-\frac{16}{5}$ , $-\frac{21}{20}$ )

4 0

3 years ago

ABC Bookstore uses a storage unit that measures 13 ft x 16 ft x 12 ft. What is

Ludmilka [50]

Answer:

2496 cubic feet

Step-by-step explanation:

Dimension of storage unit 13 ft x 16 ft x 12 ft.

Since there are three sides it can be safely assumed that storage unit is rectangular in shape.

Volume of rectangular body is given by length * width * height

Using the above formula in the given dimension we have

volume of storage unit = length of storage unit * width of storage unit * height of storage unit

volume of storage unit = 13 ft * 16 ft * 12 ft = 2,496 cubic feet

5 0

3 years ago

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wlad13 [49]

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6 0

3 years ago

Given m||n find the value of x

tensa zangetsu [6.8K]

Answer:

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Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

x = 127

8 0

3 years ago