Use the information to answer questions 8 and 9.
1 answer:
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The standard form of a quadratic equation is
,
where ,
, and
are coefficients. You want to get the given equation into this form. You can accomplish this by putting all the non-zero values on the left side on the equation.
In this case, the given equation is
Since is on the right side of the equation, we subtract that from both sides. The resulting equation is
Looking at the standard form equation , we can see that
Answer:
The statement that best interprets the z-score is;
D. The length of the gestation period was shorter than the mean length of gestation period by 1.7 standard deviations
Step-by-step explanation:
The given parameters are;
The length of the gestation period of the cattle breed = 284 days
The standard deviation = 5.5 days
The z-score of one length of gestation period was z = -1.70
The formula for finding the z-score, z is presented as follows
Where;
x = The observed value for the gestation period
μ = The sample mean length for the gestation period = 284
σ = The gestation period standard deviation = 5.5
When Z = -1.70, we have;
∴ x - μ = -1.7 × σ
∴ x is shorter than μ by 1.7×σ
Therefore, the length of the gestation period, x, was shorter than the mean length of gestation period, μ, by 1.7 standard deviations, σ.