Click on all that are true about the graph of y > x^2 + 4x + 4.
2 answers:
Answer:
The correct options are:
a) The parabola opens up.
c) The vertex is at (-2,0).
d) The parabola is dashed.
Step-by-step explanation:
We are given an algebraic inequality as:
y > x^2 + 4x + 4:
This implies that:
y> (x+2)^2
The options that holds true regarding this inequality is:
a)
The parabola opens up.
Since the coefficient of the leading term is positive.
c)
The vertex is at (-2,0).
d)
The parabola is dashed.
Since the inequality is a strict inequality.
( The line of symmetry of parabola is x=-2.
Also the parabola is shaded inside )
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Answer:
6.7% of children who finished the race in under 45 seconds.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 75 seconds
Standard Deviation, σ = 20 seconds
We are given that the distribution of time of completion is a bell shaped distribution that is a normal distribution.
Formula:
P(finished the race in under 45 seconds.)
P(x < 45)
Calculation the value from standard normal z table, we have,
6.7% of children who finished the race in under 45 seconds.