Can someone help me I’m so confuse on this question help me
2 answers:
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<h2>Answer</h2>
2. The Graph Contains The Point (5, 12)
<h2>Explanation</h2>Remember that in a linear function of the form ,
is the slope/rate of change of the line and
is the y-intercept.
From our equation we can infer that , so the y-intercept of our graph is 12 units above the origin on the point (0, 12). Therefore, choice 2 correctly describe the graph of y = 5x + 12
We can also infer that , so the slope of our line is 5, which is constant, so our line has a constant rate of change. Also, since every integer can be written as a fraction with denominator 1, we can write our slope as
. Therefore, choices 1 and 2 correctly describe the graph of y = 5x + 12.
Now, remember that any point on the plane has coordinates , so, to check if a point is on a line, we just need to replace the
and
values in the line equation and check if the equation holds. Our point is (5, 12), so x = 5 and y = 12. Lets replace the values in our line:
Since the equation equation doesn't hold (12 is not equal 37), we can conclude that the graph doesn't contain the point (5, 12). Therefore, choice 2 does NOT correctly describe the graph y = 5x +12.
Answer:
a) 0.216
b) 0.1587
c) 0.369
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12.2 grams
Standard Deviation, σ = 2.8 grams
We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.
Formula:
a) P(contains less than 10 grams of impurities)
P(x < 10)
Calculation the value from standard normal z table, we have,
b) P(contains more than 15 grams of impurities)
P(x > 15)
Calculation the value from standard normal z table, we have,
c) P(contains between 12 and 15 grams of impurities)
d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).