In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days. One length of
2 answers:
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.
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Answer:
= 10n
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then
= 10 + 10(n - 1) = 10 + 10n - 10 = 10n