<u>Answer</u>
95,040
<u>Explanation</u>
The interpretation of this expression is; the number of permutation of 5 objects out of 12.
12P5 = 12!/(12-5)!
=12!/7!
=(12×11×10×9×8×7×6×5×4×3×2×1)/(7×6×5×4×3×2×1)
=12×11×10×9×8
=95,040
Answer:
y = - 750
Step-by-step explanation:
Given
y = x³y² ← substitute x = - 5, y = - 3 into the expression
= × (- 5)³ × (- 3)²
= × - 125 × 9 ( cancel the 3 and 9 )
= 2 × - 125 × 3
= - 750
Answer:
s=650
Step-by-step explanation:
s=n/2(2a+(n-1)d)
s=20/2[2x4+(20-1)3]
s=20/2(2x4+19x3)
s=20/2(8+57)
s=20/2x65
s=10x65
s=650
We have been given that a set of average city temperatures in May are normally distributed with a mean of 20.66°C and a standard deviation of 2 C. The average temperature of Singapore is 26°C. We are asked to find the proportion of average city temperatures that are lower than that of Singapore.
First of all, we will find z-score corresponding to sample score of 26.
, where,
z = z-score,
x = Random sample score,
= Mean,
= Standard deviation.
Now we need to find probability of a z-score less than 2.67 that is .
Using normal distribution table, we will get:
Upon rounding to 4 decimal places, we will get:
Therefore, approximately of average city temperatures are lower than that of Singapore.
It is a scalene triangle.