Answer:
a) The third quartile Q₃ = 56.45
b) The variance = 2633.31
Step-by-step explanation:
a) The coefficient of skewness formula is given as follows;
Plugging in the values, we have;
Solving gives Q₃ = 56.45
b) To determine the variance, we use the skewness formula as follows;
Plugging in the values, we get;
The variance = σ² = 51.32² = 2633.31.
Answer:
47 years old.
Step-by-step explanation:
Let c represent each children, 'f' represent the father and 'm' represent the mother. We are given that:
Replace the first two equations into the last to solve for 'f':
The father is 47 years old.
m∠R = 27.03°
Solution:
Given In ΔQRP, p = 28 km, q = 17 km, r = 15 km
To find the measure of angle R:
Law of cosine formula for ΔQRP:
Substitute the given values in the above formula.
Switch the given equation.
Subtract 1073 from both side of the equation.
Divide by –952 on both sides.
Hence m∠R = 27.03°.
Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6
Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.