Answer:
Step-by-step explanation:
- <em>This is a cyclic quadrilateral (all vertices on the same circle)</em>
<u>Opposite angles are supplementary:</u>
- ∠A + ∠C = 180°
- ∠B + ∠D = 180°
<u>Find x:</u>
- x + 5 + x - 7 = 180°
- 2x - 2 = 180°
- 2x = 182°
- x = 91°
<u>Find D:</u>
- ∠D = x - 14°
- ∠D = 91° - 14° = 77°
<u>Find B:</u>
Answer:
b
Step-by-step explanation:
Answer:
- A
- A
- C
- B
Step-by-step explanation:
1) The statement is true. A larger margin of error creates a wider confidence interval, which is more likely to contain the population parameter.
2) The statement is false. A larger sample size decreases the standard error of the sample proportion, which decreases the margin of error.
3) The statement is true. A smaller sample size increases the standard error of the sample proportion, which, for a fixed margin of error, decreases the critical value, z*.
4) The statement is true. One can see from the margin of error formula that the margin of error is inversely proportional to the square root of n.
I think your answer would be 3(3x+y)
Answer: the diameter of the can is 2.8 inches
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
height = 4.5 inches
Volume of can = 454 millilitres
1 cubic inch = 16.387 millilitres
Converting 454 millilitres to cubic inches, it becomes
454/16.387 = 27.7 cubic inches
Therefore
27.7 = 3.14 × r² × 4.5
27.7 = 14.13r²
r² = 27.7/14.13
r² = 1.96
r = √1.96
r = 1.4
Diameter = 2 × radius
Diameter = 2 × 1.4 = 2.8 inches
