A set of average city temperatures in May are normally distributed with a mean of 20.66 ^\circ \text{C}20.66
1 answer:
Answer:
0.9962
Step-by-step explanation:
The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:
μ = 20.66°C, σ = 2°C
For x < Singapore temperature, i.e. x < 26
From the normal distribution table P(x < 26) = P(z < 2.67) = 0.9962
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Answer:
see explanation
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
=
[ 2a₁ + (n - 1)d ]
where a₁ is the initial value and d the common difference
Given
=
[ 10 + (n - 1)3 ]
Then by comparison
2a₁ = 10 ( divide both sides by 2 )
a₁ = 4 ← initial value
and d = 3 ← common difference
Thus
=
[ 10 + (7 × 3) ]
= 4(10 + 21)
= 4 × 31
= 124