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3 years ago

2)

Mathematics

2 answers:

dybincka [34]3 years ago

7 0

The answer is 43
It has
The
Second thing
Then that one
Then that
Then boom
43

zhannawk [14.2K]3 years ago

4 0

Answer: step4

Step-by-step explanation: step 4

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Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi

ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles carry just one person.

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

$P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}$

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

$P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291$

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

$\mu = np = 92(0.64) = 58.88$

$\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60$

We have to evaluate the probability that more than 47 cars carry just one person.

$P(x \geq 47)$

After continuity correction, we will evaluate

$P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)$

$= 1 - P(z \leq -2.6913)$

Calculation the value from standard normal z table, we have,

$P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%$

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0

3 years ago

What is the area of a cirle of radius r? use r for the radius and pi for π. for help on entering a symbolic answer click on the

OlgaM077 [116]

I was stuck on the same thing in my class test. I ended up failing but if I get the answers to it I’ll totally send them to you!!!

7 0

3 years ago

PLEASE!!!

ANEK [815]

9514 1404 393

Answer:

30m +50 = 20m +100
m = 5
yes. symmetric property of equality.

Step-by-step explanation:

1. The expression for c in the first equation is (30m+50). Substituting that for c in the equation ...

c = 20m +100

gives you ...

30m +50 = 20m +100

2. Adding -50-20m to both sides gives ...

10m = 50

m = 5 . . . . . . . divide by 10

3. Doing the substitution in reverse, you would substitute (20m+100) for c in the equation ...

c = 30m +50

to get ...

20m +100 = 30m +50

This is the equation of part 1 with the expressions swapped to the other side of the equal sign. The symmetric property of equality tells you that changing sides of the equal sign does not change the value of the variable(s).

You get the same solution.

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3 years ago

Mrs.Rissoto filled her daughters plastic Swimming pool with water .The water level in the pool changed by -8 gallons each hour d

kogti [31]

I thank that the answer is 180

3 0

3 years ago

HELP ME PLZ AS SOON AS POSIBLE<br> IS THIS RIGHT

Dmitrij [34]

YES IT IS RIGHT.YOU ARE RIGHT

5 0

3 years ago

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