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.
Where is the question. though
Answer:
The value of c is 8.
Step-by-step explanation:
When a function is divisible by a factor, it will get 0 value. So, you have to substitute x = -2 into p(x) and equals to 0 :







Answer:
1) Option B - 25.12 ft
2) Option C - 24.1 ft
Step-by-step explanation:
1) Given : The circular rug has a diameter of 8.2 feet.
To find : Which measurement is closest to the circumference of the rug in feet?
Solution :
The circumference of rug is given by 
Where, d is the diameter = 8.2 feet.


The most closest measurement is 25.12 ft.
Therefore, option B is correct.
2) Given : A circle has a diameter of 5.2 feet.
To find : Which measurement is closest to the circumference of the circle in feet?
Solution :
The circumference of circle is given by 
Where, d is the diameter = 5.2 feet.


The most closest measurement is 24.1 ft.
Therefore, option C is correct.