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Xelga [282]
3 years ago
9

Write an equation in slope intercept form of the line going through the points (6,2) and (8, -4)

Mathematics
1 answer:
Anna35 [415]3 years ago
8 0
Y=-3x+20 if you want explication ask
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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
Please help me !!
kherson [118]
The second answer is D) it will increase 8 times
7 0
3 years ago
Read 2 more answers
Which set of numbers includes only integers?
Lelu [443]

Answer:

{14,23,654,0,9}

Step-by-step explanation:

The first three contain negative numbers and decimal points therefor the last one {14,23,654,0,9} is correct.

3 0
3 years ago
Read 2 more answers
Find the value of a. A. 57 B. 104 C. 26 D. 52​
garik1379 [7]

Answer:

Option D, 52

Answered by GAUTHMATH

5 0
2 years ago
What is 6.29 converted to a whole number?
enyata [817]
That is fractional, it can not be represented as a whole number, though it can be represented as an improper or mixed fraction because it is a rational number.

629/100 or 6+29/100
5 0
3 years ago
Read 2 more answers
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