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solmaris [256]
3 years ago
5

John lives in Massachusetts (MA). On a walk to work John saw 12 parked cars 8 of which have MA licence plates. If John selects r

andomly 9 of these 12 cars, what is the probability that all of the cars he selected will be with out of state plates?
Mathematics
1 answer:
omeli [17]3 years ago
7 0

Answer: probability = 0.0

Step-by-step explanation:

Out of 12 cars, 8 have MA licence plates (4 do not have)

Then we have 4 cars with out of state plates.

Then, out of these 12 cars we can not not have more than 4 cars with out of state plates (because there are only 4) then he never can se 9 cars with out of state plates.

The probability of seing 9 cars with out of state plates is 0.

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PLEASE HELP! Since AB=1 and 1=BC, BC=AB by which property?
erastovalidia [21]

Substitution.

Here is an example.

Let x be equal to 3 and y equal to 3.

x=3, y=3

From this we can conclude that the values of both x and y are equal to three therefore x and y have the same value and are equal.

x\wedge y=3\Longrightarrow x=y

Here in your case we have:

AB=1, BC=1 \\AB\wedge BC=1\Longrightarrow AB=BC

Hope this helps.

r3t40

7 0
4 years ago
(7 points) Cars arrive at a toll both according to a Poisson process with mean 80 cars per hour. If the attendant makes a two-mi
saveliy_v [14]

Answer:

The probability that at least 1 car arrives during the call is 0.9306

Step-by-step explanation:

Cars arriving according to Poisson process - 80 Cars per hour

If the attendant makes a 2 minute phone call, then effective λ = 80/60 * 2 = 2.66666667 = 2.67   X ≅ Poisson (λ = 2.67)

Now, we find the probability: P(X≥1)

P(X≥1) = 1 - p(x < 1)

P(X≥1) = 1 - p(x=0)

P(X≥1) = 1 - [ (e^-λ) * λ^0] / 0!

P(X≥1) = 1 - e^-2.67

P(X≥1) = 1 - 0.06945

P(X≥1) = 0.93055

P(X≥1) = 0.9306

Thus, the probability that at least 1 car arrives during the call is 0.9306.

5 0
3 years ago
If j = k, then j + 9 = k + 9 represents which algebraic property
sleet_krkn [62]

Answer:

c) The given  expression represents Addition Property of Equality.

Step-by-step explanation:

Here, the given expression is j = k

Now by ADDITION PROPERTY OF EQUALITY:

The property that states that if you add the same number to both sides of an equation, the sides remain equal.

So,  <u>  if A  = B  ⇒  A + </u><u>x </u><u> =  B + </u><u>x</u>

<u></u>

Now, here given that j = k

If we add the same number 9 on both the sides, the equation remains  undisturbed.

⇒   j + 9  = k + 9

Hence, the above expression represents Addition Property of Equality.

8 0
4 years ago
A tower that is 111 feet tall casts a shadow 126 feet long. find the angle of elevation of the sun to the nearest degrre
Sergeeva-Olga [200]
The angle here is an acute angle at ground level.  Then the side adjacent to this angle is 126 feet.  The opp. side is the tower, 111 feet tall.

Then   

tan theta = opp / adj = 111 / 126.  Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).
3 0
3 years ago
How will more grass grew as a result of more rain.
pantera1 [17]

Answer:

Just as forest habitat can affect deer, deer can affect forests. ... High deer populations can degrade vegetation communities and habitat for other wildlife species. Without that, no one has a place to call home.

Step-by-step explanation:

8 0
3 years ago
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