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professor190 [17]
3 years ago
6

What are the two zeros of the quadratic function defined by the expression 9x2 - 4?

Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0
The zeros of this function is

x=2/3 , -2/3
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1. A report from the Secretary of Health and Human Services stated that 70% of single-vehicle traffic fatalities that occur at n
Nuetrik [128]

Using the binomial distribution, it is found that there is a 0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

For each fatality, there are only two possible outcomes, either it involved an intoxicated driver, or it did not. The probability of a fatality involving an intoxicated driver is independent of any other fatality, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 70% of fatalities involve an intoxicated driver, hence p = 0.7.
  • A sample of 15 fatalities is taken, hence n = 15.

The probability is:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)

Hence

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 10) = C_{15,10}.(0.7)^{10}.(0.3)^{5} = 0.2061

P(X = 11) = C_{15,11}.(0.7)^{11}.(0.3)^{4} = 0.2186

P(X = 12) = C_{15,12}.(0.7)^{12}.(0.3)^{3} = 0.1700

P(X = 13) = C_{15,13}.(0.7)^{13}.(0.3)^{2} = 0.0916

P(X = 14) = C_{15,14}.(0.7)^{14}.(0.3)^{1} = 0.0305

P(X = 15) = C_{15,15}.(0.7)^{15}.(0.3)^{0} = 0.0047

Then:

P(10 \leq X \leq 15) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.2061 + 0.2186 + 0.1700 + 0.0916 + 0.0305 + 0.0047 = 0.7215

0.7215 = 72.15% probability that between 10 and 15, inclusive, accidents involved drivers who were intoxicated.

A similar problem is given at brainly.com/question/24863377

5 0
2 years ago
You might need: Calculator
Artist 52 [7]

Answer:

117 pages

Step-by-step explanation:

114 + 3 = x

x = 117

5 0
3 years ago
Jimmy is going scuba diving. He started at 10 ft below sea level. He then dove 15 ft further, then he got nervous and came up 5
ad-work [718]

Answer:

it is 55

Step-by-step explanation:

8 0
3 years ago
What is the answer for this equation P=r+s-6
Alexeev081 [22]
3x-x+2=4
<span>P = t + r + s
P - r - s = t + r - r + s - s 
P - r - s = t</span>
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3 years ago
For a field trip for students Road in cars and the rest filled nine buses how many students were in each bus it for how to 72 st
jasenka [17]
72 divided by 9 equals 8
72/9=8
8 0
3 years ago
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