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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.
Answer:
The relationship is proportional.
The relationship is linear.
The equation of the line is y = –3x.
Step-by-step explanation:
The line in the question passes through origin and (4,-12).
The rate of change of the line is
The rate of change of the line or slope of the line is -3
Equation of the line is given by
This means that the relationship is linear.
If we take any value of x then there will be only one value of y this means that the relationship is proportional.
So the following statements are true
The relationship is proportional.
The relationship is linear.
The equation of the line is y = –3x.
The number of viruses was 4000 times greater than number of protozoa.
Step-by-step explanation:
Given,
Number of protozoa =
Number of viruses =
Let,
x be the number of times number of viruses is greater than number of protozoa.
Number of viruses = Number of time * Number of protozoa
Dividing both sides by
The number of viruses was 4000 times greater than number of protozoa.
Keywords: division, scientific notation
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