Answer: C & D
<u>Step-by-step explanation:</u>
A binomial experiment must satisfy ALL four of the following:
- A fixed number of trials
- Each trial is independent of the others
- There are only two outcomes (Success & Fail)
- The probability of each outcome remains constant from trial to trial.
A) When the spinner is spun three times, X is the sum of the numbers the spinner lands on.
→ #3 is not satisfied <em>(#4 is also not satisfied)</em>
B) When the spinner is spun multiple times ...
→ #1 is not satisfied
C) When the spinner is spun four times, X is the number of times the spinner does not land on an odd number.
→ Satisfies ALL FOUR
- A fixed number of trials = 4
- Each trial is independent of the others = each spin is separate
- There are only two outcomes = Not Odd & Odd
- The probability of each outcome remains constant from trial to trial = P(X = not odd) = 0.50 for each spin
D) When the spinner is spun five times, X is the number of times the spinner lands on 1.
→ Satisfies ALL FOUR
- A fixed number of trials = 5
- Each trial is independent of the others = each spin is separate
- There are only two outcomes = 1 & Not 1
- The probability of each outcome remains constant from trial to trial = P(X = 1) = 0.17 for each spin
<h2><u>Solution</u> :-</h2>
Given : Radius of cylinder = 8 m
Height = 4 m
Volume of cylinder = πr²h cu. units
= 22/7 × 8 × 8 × 4 m³
= 804.57 m³ (approx.)
Curved surface area = 2πrh sq. units
= 2 × 22/7 × 8 × 4 m²
= 201.14 m² (approx.)
Total surface area = 2πr(r + h) sq. units
= 2 × 22/7 × 8 (8 + 4) m²
= 2 × 22/7 × 8 × 12 m²
= 603.43 (approx.)
Answer:
62.8 square inches
Step-by-step explanation:
we know that
To find out how many square inches of space the rolling pin comes in contact with after one complete roll, determine the lateral area of the rolling pin
The lateral area of a cylinder is given by the formula
we have
substitute
Answer:
- g = -1110p +4300.9
- 804 gallons
Step-by-step explanation:
a) Price is the independent variable, so the data we are given can be written as ...
(price, gallons) = (2.99, 982) and (2.79, 1204)
Using the 2-point form of the equation for a line, we have ...
g = (g2 -g1)/(p2 -p1)(p -p1) +g1
g = (1204 -982)/(2.79 -2.99)(p -2.99) +982
g = -1110(p -2.99) +982 = -1110p +4300.9
g = -1110p +4300.9
__
b) When p = 3.15, the predicted sales volume is ...
g = -1110(3.15) +4300.9 = 804.4
Weekly sales are predicted to be 804 gallons at a price of $3.15.
