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3 years ago

Which is a zero of the quadratic function f(x) = 4x2 + 24x + 11?

Mathematics

2 answers:

slava [35]3 years ago

5 0

It can be factored as (2x+1)(2x+11). Setting them = 0 yields,
x- -1/2 and -11/2

Diano4ka-milaya [45]3 years ago

5 0

B. x = -5.5 is right hopefully

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Do what is in the parentheses then add

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Read 2 more answers

A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin

sleet_krkn [62]

Answer:

The probability that they each win six games is 0.225.

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

$P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}$

The probability that they each win six games is k=6.

$P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}$

$P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625$

$P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625$

$P(X=6)=0.225$

Therefore, The probability that they each win six games is 0.225.

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3 years ago

The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that current

stellarik [79]

Answer:

Population after 4 years = 49 (nearest unit)

Population after 5 years = 47 (nearest unit)

Step-by-step explanation:

Yearly decrease = 4.6%

Decrease factor (what's left) = (100-4.6)% = 0.954

Current population, P = 60

population after n years = P(0.954)^n (to the nearest unit)

Population after 4 years = 60(0.954)^4 = 49.7 = 49 (nearest unit)

Population after 5 years = 60(0.954)^5 = 47.4 = 47 (nearest unit)

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Answer:

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