Rewrite the expression without using a negative exponent 6m^-2

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

Find the diameter of the object. diameter: __ cm

Mashcka [7]

Answer: 1 1/5

Step-by-step explanation: 3/5 is the radius so you would times the radius by two to get the diameter which is 1 1/5.

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3 years ago

Sylvia and her sister are both reading books. Sylvia reads 2 pages every 5 minutes. Her sister reads 3 pages every 6 minutes. Wh

umka21 [38]

Answer:

6

Step-by-step explanation:

Silvia: 2 pages to 5 minutes

into...

Silvia: 1 page to __ minutes

Find Unit Rate : 5/2= 2.5

Unit Rate for Silvia is 2.5

Written out : 2 pages x 2.5 = 5 minutes

Example : 1 page to 2.5 minutes

What we found : ___ pages to 60 minutes(60 divided by 2.5) is

<h2>24 pages to 60 minutes</h2>

Silvia's sister: 3 pages to 6 minutes

into...

Silvia's sister: 1 pages to ___ minutes

Find Unit Rate : 6/3= 2

Unit Rate for Silvia is 2

Written out : 3 pages x 2 = 6 minutes

Example : 1 page to 2 minute

What we found : ___ pages to 60 minutes(60 divide by 2) is

<h2>30 pages to 60 minutes </h2>

Final Step : 30 - 24 = 6

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In the table, each value of y varies directly with the corresponding value of x. Which equation represents the values in the tab

Alex777 [14]

Your equation should be
y=2.2x

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Expertsss/aceee plzzz helpppp quickkklyyyy

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I would think that it would be A.... I am an expert but, only in 8th, so I would double check.

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3 years ago

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