Answer:
=3x+27y−6
Step-by-step explanation:
3(3x−(2−6y+2x)+3y)
=(3)(3x+−2+6y+−2x+3y)
=(3)(3x)+(3)(−2)+(3)(6y)+(3)(−2x)+(3)(3y)
=9x−6+18y−6x+9y
=3x+27y−6
Given:
Sample size, n = 40
Sample mean, xb = $6.88
Population std. deviation, σ = $1.92 (known)
Confidence interval = 90%
Assume normal distribution for the population.
The confidence interval is
(xb + 1.645*(σ/√n), xb - 1.645*(σ/√n)
= (6.88 + (1.645*1.92)/√40, 6.88 - (1.645*1.92)/√40)
= (7.38, 6.38)
Answer: The 90% confidence interval is (7.38, 6.38)
Answer:
3.5m
Step-by-step explanation:
A parallelogram has sides 17.3 m and 43.4 m long.
The height corresponding to the 17.3-m base is 8.7 m.
The area of a parallelogram = base × height
= 8.7m × 17.3m
= 150.51m²
Both parallelograms have the same area
Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:
= 150.51m²/43.4m
= 3.4679723502m
Approximately = 3.5m
