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suter [353]
3 years ago
14

1. If a car must have at least 2 passengers in order to be in the carpool lane on this highway, what is the probability that a r

andomly selected car is allowed to be in the carpool lane?
P(x>2) .15+.10+ .3+ .2= .30

2. Find the probability that a randomly  selected car on this highway has fewer than 4 occupants.

P(x<4)= p(x<3)=
.70+ .15+ .10= .95


3. Calculate the mean of this probability distribution.  Click on the tool "Insert Math Equation" in the toolbar above to write your answers using correct notation and round it to one more decimal than is contained in the data (type out your calculations).

E(x) is

1(x) p(1) + 2p(2) + 3p(3)+ 4p(4)+ 5p(5)
.70+.30+.30+.12+.10
=1-52



4. Explain what your answer to #3 means in the context of this problem.

Mean is the expected value and measure of tendency following is the probability of distribution

5. What shape would the probability histogram of this probability distribution have (you do not have to actually create or embed the histogram)?  Explain the meaning of this in context.  In other words, what does this tell you about the driving habits of most drivers on this highway?

Most drivers have more than 2 passengers while driving in the carpool lane on the freeway​
Mathematics
1 answer:
Elden [556K]3 years ago
7 0

Answer:

4

Step-by-step explanation:

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Find four consecutive even integers such that seven times the first exceeds their sum by 18.
Ganezh [65]

Answer:

10, 12, 14, 16

Step-by-step explanation:

Given: Four consecutive even integers such that seven times the first exceeds their sum by 18.

Lets assume the first number be "x".

As it is even integers

∴ Second consecutive number will be (x+2)

  Third consecutive number will be (x+4)

  Fourth consecutive number will be (x+6)

Now, as given seven times the first exceeds their sum by 18.

∴ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

solving the equation to find the number.

⇒ [x+(x+2)+(x+4)+(x+6)]+18 = 7x

Opening parenthesis

x+x+2+x+4+x+6+18 = 7x

⇒ 4x+30= 7x

subtracting both side by 4x

⇒ 30= 3x

Dividing both side by 3

∴ x= 10.

Hence, subtituting the value x to find four consecutive even integers.

  First number is 10

  Second consecutive number will be (10+2) = 12

  Third consecutive number will be (10+4)= 14

  Fourth consecutive number will be (10+6) = 16

∴ Four consecutive even integers are 10,12,14,16.

8 0
3 years ago
39 is the percent of 12.5
Rashid [163]
You mean '39 is what percent of 12.5 ?'

So, the answer is

39/12.5 × 100
= 3.12 × 100
= 312%

So, 39 is 312% of 12.5.

(The percentage is greater because 39 is greater than 12.5)
7 0
3 years ago
Helppp please no links i give brainly-est just help UwU
Marta_Voda [28]

Answer:

igure it out based on the explanation

Step-by-step explanation:

do left to right first do the divishon on the left get and answer divide that by 8 then divide the answer by 2 then subtract it by 3!

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The length of a towel is 75 centimeters.
AVprozaik [17]

Answer:

To convert from cm to inch divide by 2.54. 75/2.54= 29.5276...

Rounded to the nearest hundredth: 29.53 inches.

Step-by-step explanation:

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