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2 years ago

Is y=0(x-4)^2 + 3 is a quadratic funtion

1 answer:

8 0

By definition, A quadratic function<span> is one of the form f(x) = ax</span>2<span> + bx + c, where a, b, and c are numbers with a not equal to zero.
In this case both a and b are 0 so it is not a quadratic function</span><span />

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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.

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2 years ago

I need answers quick thanks

Tema [17]

B :) open circle means inequality and it needs to be at least 3 so the line has to increase, meaning the arrow is going right.

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2 years ago

Question 1 of 10

sp2606 [1]

20 raise the power 7

Step-by-step explanation:

Which clearly means 20 × itself 7 times

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1 year ago

The air quality index, or aqi, measures how polluted the air is in your city and assigns a number based on the quality of the ai

makkiz [27]

The number of days in which the air quality index exceed 100 in the year 1988 is 75 days. Then the correct option is B.

<h3>What is a function?</h3>

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.