Answer:
The number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.
Step-by-step explanation:
It is provided that the owner of the a greenhouse and nursery has land available to grow 3000 and 2000 rosebushes every year.
She claims to be 80% efficient in the use of the land available.
She is considering to spend $6000 to acquire the licensing rights to grow a new variety of rosebush.
The variable cost will be $3 and she will sell the rosebushes for $6 each.
The formula to compute the number of rosebushes she plans to grow every year is,
Number of rosebushes = Effective Capacity × Efficiency

Thus, the number of rosebushes the owner of the a greenhouse and nursery plans to grow every year is 1,600.
Answer:
0.77,0.60
Step-by-step explanation:
Given that in a population of 1000 subjects, 770 possess a certain characteristic.
A sample of 40 subjects selected from this population has 24 subjects who possess the same characteristic
To find out sample proportion:
Sample size n = 40
Favourable x = 24
Sample proportion p = 
To find out population proportion:
Total population N = 1000
Favourable X = 770
population proportion P = 
Answer:
Writing it in matrix form
- 2 - 4 - 5 - 155
1 1 6 101
2 2 - 3 37
I hope this helps you
Cone details:
Sphere details:
================
From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.
<u>Using Pythagoras Theorem</u>
(a)
TO² + TU² = OU²
(h-10)² + r² = 10² [insert values]
r² = 10² - (h-10)² [change sides]
r² = 100 - (h² -20h + 100) [expand]
r² = 100 - h² + 20h -100 [simplify]
r² = 20h - h² [shown]
r = √20h - h² ["r" in terms of "h"]
(b)
volume of cone = 1/3 * π * r² * h
===========================




To find maximum/minimum, we have to find first derivative.
(c)
<u>First derivative</u>

<u>apply chain rule</u>

<u>Equate the first derivative to zero, that is V'(x) = 0</u>




<u />
<u>maximum volume:</u> <u>when h = 40/3</u>


<u>minimum volume:</u> <u>when h = 0</u>


; a₁ is the first term, d is the difference between terms, and n is the term
-4, -21, -38, ... ⇒ a₁ = -4, d = -17

= -4 - 17n + 17
= 13 - 17n

= 13 - 1088
= 1075
Answer: 1075