Select each binomial that is a factor of the following polynomial. 3x2−14x−24 Question 4 options:

Mathematics

2 answers:

netineya [11]4 years ago

6 0

The answer to your question is x-6 and 3x+4

kondor19780726 [428]4 years ago

5 0

Answer:

The answer to your question is (x - 6) and (3x + 4)

Step-by-step explanation:

Polynomial

3x² - 14x - 24

Factor

1.- Multiply 3 x -24 = -72

2.- Find the prime factors of 72

72 2

36 2

18 2

9 3

3 3

72 = 2³3²

3.- Find to numbers that added gives -14

These numbers are -18 and +4

4.- Write the polynomial in terms of -18 and +4

3x² - 18x + 4x - 24

5.- Factor by common factors

3x(x - 6) + 4(x - 6)

(x - 6)(3x + 4)

6.- Conclusion, the factors of the polynomial are (x - 6)(3x + 4)

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According to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation, there were over 71 million wildif

suter [353]

Answer:

The probability that between 79% and 81%of the 500 sampled wildlife watchers actively observed mammals in 2011 is P=0.412.

Step-by-step explanation:

We know the population proportion π=0.8, according to the 2011 National Survey of Fishing, Hunting, and Wildlife-Associated Recreation.

If we take a sample from this population, and assuming the proportion is correct, it is expected that the sample's proportion to be equal to the population's proportion.

The standard deviation of the sample is equal to:

$\sigma_s=\sqrt{\frac{\pi(1-\pi)}{N}}=\sqrt{\frac{0.8*0.2}{500}}=0.018$

With the mean and the standard deviaion of the sample, we can calculate the z-value for 0.79 and 0.81:

$z=\frac{p-\pi}{\sigma}=\frac{0.79-0.80}{0.018} =\frac{-0.01}{0.018} = -0.55\\\\z=\frac{p-\pi}{\sigma}=\frac{0.81-0.80}{0.018} =\frac{0.01}{0.018} = 0.55$