Answer:
1. The correct answer is B. <em>N</em>
3. The answer is C.) Associative Property of Addition
Step-by-step explanation:
1. Since , then it means that -4 cannot be a natural number (<em>N</em>). By definition, natural numbers ( <em>N </em>) are counting numbers that are positive integers.
3. According to the Associative Property of Addition:
(<em>a</em> + <em>b</em> ) + <em>c</em> = <em>a </em>+ (<em>b </em>+ <em>c </em>)
This definition matches your test question, "(7<em>a</em> * 2b) + 3c = 3c + (7<em>a</em> * 2b)"
Hope this explanation helps :)
The coordinates of B will be "(2, -8)".
Given:
Midpoint of AB,
(x, y) = (0, -7)
Coordinates of A,
(x₁, y₁) = (-2, -6)
As we know,
The formula of midpoint is:
→
→
hence,
→
Thus the above answer is correct.
Learn more about midpoint here:
The probability that a single can will contain 11.6 ounces or less of soda is 0.2843
<h3>Probability that a can contains 11.6 ounces or less</h3>The given parameters are:
x = 11.6
Mean = 12
Standard deviation = 0.7
Calculate the z value using:
This gives
z = -0.57
The probability is then calculated as:
P(x ≤ 11.6) = P(z ≤ -0.57)
Using the z table of probabilities, we have:
P(x ≤ 11.6) = 0.2843
<h3>Probability that a pack contains 11.6 ounces or less</h3>In (a), the probability that a can contains 11.6 ounces or less is 0.2843
The probability that all cans in a pack contains 11.6 ounces or less is
P(6) = 0.2843^6
P(6) = 0.00053
<h3>Probability that a case contains 11.6 ounces or less</h3>In (a), the probability that a can contains 11.6 ounces or less is 0.2843
The probability that all cans in a case contains 11.6 ounces or less is
P(36) = 0.2843^36
P(36) ≈ 0
<h3>Draw three normal distributions</h3>See attachment for the normal distributions
<h3>The happening on the graph</h3>The summary of the graph is that, as the sample size increases the probability decreases
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