The answer is C: the missing number is 25
Answer:
The large sample n = 190.44≅190
The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44
<u>Step-by-step explanation</u>:
Given population proportion was estimated to be 0.3
p = 0.3
Given maximum of error E = 0.04
we know that maximum error
The 85% confidence level 
now calculation , we get
√n=13.80
now squaring on both sides n = 190.44
large sample n = 190.44≅190
<u>Conclusion</u>:-
Hence The large sample would be required in order to estimate the fraction of people who black out at 6 or more Gs at the 85% confidence level with an error of at most 0.04 is n = 190.44
The answer is 39 because 6 times 5 is 30. 30 plus 9 is 39. :)
Answer:
Option A
Step-by-step explanation:
Given expression:
<u>Option A</u>
⇒ (x - 4)(3x + 2)
⇒ (x × 3x) + (2 × x) + (-4 × 3x) + (-4 × 2)
⇒ (3x²) + (2x) + (-12x) + (-8)
⇒ 3x² + 2x - 12x - 8
⇒ 3x² - 10x - 8
3x² - 10x - 8 = 3x² - 10x - 8 (Yes!)
<u>Option B</u>
⇒ (3x - 4)(x - 2)
⇒ (3x × x) + (3x × -2) + (-4 × x) + (-4 × -2)
⇒ (3x²) + (-6x) + (-4x) + (8)
⇒ 3x² - 6x - 4x + (8)
⇒ 3x² - 10x + 8
3x² - 10x - 8 = 3x² - 10x + 8 (No!)
<u>Option C</u>
⇒ (3x - 4)(x + 2)
⇒ (3x × x) + (3x × 2) + (-4 × x) + (-4 × 2)
⇒ (3x²) + (6x) + (-4x) + (-8)
⇒ 3x² + 6x - 4x - 8
⇒ 3x² + 2x - 8
3x² - 10x - 8 = 3x² + 2x - 8 (No!)
<u>Option D</u>
⇒ (3x - 2)(x - 4)
⇒ (3x × x) + (3x × -4) + (-2 × x) + (-2 × -4)
⇒ (3x²) + (-12x) + (-2x) + (8)
⇒ 3x² - 12x - 2x + 8
⇒ 3x² - 14x + 8
3x² - 10x - 8 = 3x² - 14x + 8 (No!)
Since the expression of option A has the same value as the given expression, option A is correct.
A is correct. Just move the negative sign from in front of the 9 and place it in front of the 4.
