Answer:
The answers to the questions are
a) The average number of coconut palms on the randomly chosen side is 49.5 coconut palms
b) The projected number of palms on the entire farm is 3168 coconut palms.
Step-by-step explanation:
(a) The average is given by ∑fx/∑f = (∑x)/n
The sum of the number of coconut palms in the random sample of 10 acres is as follows
∑x = 56+43+62+63+33+34+38+51+59+56 = 495
n = 10
Therefore the average = 495/10 = 49.5 palm tree per acres
The average number of palm tree per acre = 49.5 palm tree
b) To project the number of coconut palms on the entire farm, we note that the average palm tree per acre = 49.5 coconut palms
Number of acres = 64
∴ Projected number of coconut palms in the farm = (Average number of palm tree per acre) × (Number of acres in the farm)
= 64 × 49.5 = 3168 coconut palms.
Answer:
4 hours and 7 hours
Step-by-step explanation:
Marcus = x hours
Donnell = x + 3 hours
Total = 11 hours
- x + x + 3 = 11
- 2x + 3 = 11
- 2x = 8
- x = 4
So Marcus practiced 4 hours and Donnell practiced 7 hours
Answer:
38 sq cm.
Step-by-step explanation:
Find the triangles:
1st: 10
2nd: 1/2(8-6)*4=4
Rectangle area: 24, add together 10+4+24=38 sq cm.
Answer:
Step-by-step explanation:
Q1
<u>Angles</u>
- 26° & 64° & 90°
- AA similarity
Q2
<u>Ratios of corresponding sides:</u>
- 6/8 = 9/12 = 12/16 ⇒ 3/4
- SSS similarity
Q3
<u>Angle C is vertical</u>
<u>Ratios of corresponding sides:</u>
- 9/15 = 18/30 ⇒ 3/5
- SAS similarity
