According to the number line, what is the distance between points A and B? A number line going from negative 16 to positive 12.
A closed circle appears at negative 2 and is labeled A. A closed circle appears at positive 12 and is labeled B. An orange arrow line extends the length of the number line and contains points A and B. 6 units 7 units 12 units 14 units
2 answers:
Answer: what is the distance between points A and B? 14 Units
Step-by-step explanation: The first thing that you need to do is to draw the number line shown, then we mark the two points mentioned: -2 and 12 and encircle them, following this we are going to count to the right, starting on point A, -2, and finishing on point B, 12. After we count, we are going to see that the distance between the two points is 14 units.
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Answer:
(a) The probability that proportion of heads is between 0.30 and 0.70 is 1.
(b) The probability that proportion of heads is between 0.40 and 0.65 is 0.9759.
Step-by-step explanation:
Let <em>X</em> = number of heads.
The probability that a head occurs in a toss of a coin is, <em>p</em> = 0.50.
The coin was tossed <em>n</em> = 100 times.
A random toss's result is independent of the other tosses.
The random variable <em>X</em> follows a Binomial distribution with parameters n = 100 and <em>p</em> = 0.50.
But the sample selected is too large and the probability of success is 0.50.
So a Normal approximation to binomial can be applied to approximate the distribution of <em> </em>(sample proportion of <em>X</em>) if the following conditions are satisfied:
- np ≥ 10
- n(1 - p) ≥ 10
Check the conditions as follows:
Thus, a Normal approximation to binomial can be applied.
So,
(a)
Compute the probability that proportion of heads is between 0.30 and 0.70 as follows:
Thus, the probability that proportion of heads is between 0.30 and 0.70 is 1.
(b)
Compute the probability that proportion of heads is between 0.40 and 0.65 as follows:
Thus, the probability that proportion of heads is between 0.40 and 0.65 is 0.9759.