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Allisa [31]
3 years ago
13

Use the quadratic formula to solve this equation to 3sf: 5x^2-2x-11=0

Mathematics
2 answers:
Rama09 [41]3 years ago
7 0
X=1/5+2/5√14 or 1/5 + -2/5√14
Evgen [1.6K]3 years ago
5 0
The quadratic formula is the result of completing the square for ax^2+bx+c=0 and it is:

x=(-b±√(b^2-4ac))/(2a)  in this case:

x=(2±√(4-4(5)(-11))/(2(5))

x=(2±√224)/10

x=(2±4√14)/10

x=(1±2√14)/5

x≈(-1.30, 1.70)  (to three significant figures)
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3 0
3 years ago
According to a poll, 30% of voters support a ballot initiative. Hans randomly surveys 5 voters. What is the probability that exa
VMariaS [17]

The probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

<h2>Given</h2>

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Number of voters selected for Surveying = 5

<h3>What is probability?</h3>

The probability of success and failure remain the same throughout the trials.

The probability that exactly 2 voters will be in favor of the ballot initiative is given by;

If P denotes Success and Q denotes failure;

\rm = ^{5}C_2 \times (0.3)^2 \times (0.70)^3\\\\= 10 \times 0.09 \times 0.343\\\\= 0.309

Hence, the probability that exactly 2 voters will be in favor of the ballot initiative is 0.309.

To know more about Probability click the link given below.

brainly.com/question/20344726

3 0
2 years ago
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