Answer:
The space inside the box = 2197 in³ - 1436.76 in³ is 760.245 in³.
Step-by-step explanation:
Here we have the volume of the cube box given by the following relation;
Volume of cube = Length. L × Breadth, B × Height, h
However, in a cube Length. L = Breadth, B = Height, h
Therefore, volume of cube = L×L×L = 13³ = 2197 in³
Volume of the basketball is given by the volume of a sphere as follows;
Volume = 
Where:
r = Radius = Diameter/2 = 14/2 = 7in
∴ Volume of the basketball = 
Therefore, the space inside the box that is not taken up by the basketball is found by subtracting the volume of the basketball from the volume of the cube box, thus;
The space inside the box = 2197 in³ - 1436.76 in³ = 760.245 in³.
Answer:
The answer for this question is. D
Remember, -(-x)=x because the negatives cancel out
so
when p=-6 and q=7
p+(-q)-3
-6+(-7)-3
-6-7-3
-13-3
-16
Answer:
2.16
Step-by-step explanation:
The question is on mean absolute deviation
The general formula ,
Mean deviation = sum║x-μ║/N where x is the each individual value, μ is the mean and N is number of values
<u>Team 1</u>
Finding the mean ;
Points Absolute Deviation from mean
51 2
47 2
35 14
48 1
64 15
<u>Sum </u> 34
Absolute mean deviation = 34/5= 6.8
<u>Team 2</u>
Finding the mean
Points Absolute deviation from the mean
27 15.8
55 12.2
53 10.2
38 4.8
41 1.8
<u>Sum 44.8 </u>
Absolute deviation from the mean = 44.8/5 =8.96
Solution
Difference in mean absolute deviation of the two teams = 8.96-6.8 = 2.16
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
