<span>1) 20 cm by 20 cm by 6 cm
2) 40 cm by 30 cm by 2 cm</span>
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
2. Using the external angle of a triangle theorem.
6x - 17 = 3x - 11 + 2x + 11
6x - 5x = 17
x = 17
So m angle K = 2(17) + 11
= 45 degrees answer
3. The diagonals are both medians of the triangle so the 2 parts are in the ratio 2:1 so 3:x = 2:1 and x = 1.5 answer
2:1
There's no solution in the set of real numbers.
Answer:
A ≈ 78.5
Your answer was wrong because it said to round to the nearest tenth.
Step-by-step explanation:
First, to find the area of a circle, you need the radius or diameter of a circle. You can see that the radius is 5 (counting the units from E directly horizontal to the edge of the circle).
Area of a circle is:
A = πr²
A = π (5)²
Following PEMDAS (order of operations), you would do the exponent first:
A = π (25)
A ≈ 78.5
