Answer:
Yes
Step-by-step explanation:
First, suppose that nothing has changed, and possibility p is still 0.56. It's our null hypothesis. Now, we've got Bernoulli distribution, but 30 is big enough to consider Gaussian distribution instead.
It has mean μ= np = 30×0.56=16.8
standard deviation s = √npq
sqrt(30×0.56×(1-0.56)) = 2.71
So 21 is (21-16.8)/2.71 = 1.5494 standard deviations above the mean. So the level increased with a ˜ 0.005 level of significance, and there is sufficient evidence.
Answer:
(-5, 1)
Step-by-step explanation:
(x, y)
x moves left/right
y moves up/down
x = -5
y = -5 + 6 = 1
(-5, 1)
Answer:
j
Step-by-step explanation:
Substitute the given values into x² + x + 1 and check if result is prime
x = - 4
(- 4)² - 4 + 1 = 16 - 4 + 1 = 13 ← prime
(- 2)² - 2 + 1 = 4 - 2 + 1 = 3 ← prime
(- 3)² - 3 + 1 = 9 - 3 + 1 = 7 ← prime
4² + 4 + 1 = 16 + 4 + 1 = 21 ← not prime
x = 4 serves as a counterexample to disprove this conclusion
<u>Answers with step-by-step explanation:</u>
1. Area of sector 1 = 
2. Area of sector 2 = 
3. Area of sector 3 = 
4. Area of sector 4 = 
5. Arc length of sector 1 = 
6. Arc length of sector 2 = 
7. Arc length of sector 3 = 
8. Arc length of sector 4 = 