Answer:
The sampling method applied is Cluster sampling.
Step-by-step explanation:
A cluster sampling method is the type of sampling where first the entire population is divided into homogeneous groups. Then a random sample of these groups are selected.
After selecting a sample of groups, a random sample of fixed size is selected from each group.
In this case all freshmen are first divided into 30 sections, then 4 random sections are selected and the students in those 4 sections are sampled.
The sampling method applied is Cluster sampling.
Answer:
20 degrees
Step-by-step explanation:
First, draw the triangle and label the sides and angles. (See the picture attached)
The red lines on sides FG and HF indicate that the sides are congruent since this is an isosceles triangle. Isosceles triangles have two congruent sides and angles.
All angles add up to 180 degrees. You were already given 140 for angle F. So, use to find angle h, subtract 140 from 180 and divide by 2.
180 - 140 = 40
40 / 2 = 20
Angle h is 20 degrees
Answer:
11/6 or decimal 1.8333... + 4.9 = 6.733333....
Step-by-step explanation:
Simplify the following:
(3 + 2/3)/2
Express 4/6 in its lowest form by cancelling out gcd(4, 6) = 2 from the numerator and denominator. 4/6 = (2×2)/(2×3) = 2/3:
(2/3 + 3)/2
Put 3 + 2/3 over the common denominator 3. 3 + 2/3 = (3×3)/3 + 2/3:
((3×3)/3 + 2/3)/2
3×3 = 9:
(9/3 + 2/3)/2
9/3 + 2/3 = (9 + 2)/3:
((9 + 2)/3)/2
9 + 2 = 11:
(11/3)/2
11/3×1/2 = 11/(3×2):
11/(3×2)
3×2 = 6:
Answer: 11/6 or decimal 1.8333... + 4.9 = 6.733333....
Answer:
Step-by-step explanation:
<u>Given quadratic equation</u>:
To complete the square, begin by adding and subtracting the square of half the coefficient of the term in x:
Factor the perfect square trinomial:
To solve the quadratic, set it to zero and solve for x:
Therefore, the solution to the given quadratic equation is:
