Answer:
The approximate area is 35 square centimeters
Step-by-step explanation:
we know that
The cross section passing through the diagonal of opposite faces of the cube is a rectangle
so
the approximate area is equal to
where
b is the diagonal of a face
h is the length side of the cube
we have
substitute
Answer:
1.4000 ;
0.0807 ;
1.69 ;
Fail to reject the Null
Step-by-step explanation:
Given :
μ = 21 minutes
x = 22.4 minutes
Sample size, n = 36
Standard deviation, s = 6
H0: μ ≥ 21
H1: μ < 21
Test statistic : (x - μ) ÷ s/sqrt(n)
Test statistic : (22.4 - 21) ÷ 6/sqrt(36)
Test statistic : 1.4 ÷ 1
Test statistic = 1.4000
Pvalue : Using the Test statistic value at α = 0.05 ; One - tail test = 0.0807
The t critical value using a critical value calculator ; DF = (n - 1) = 36 - 1 = 35 ; α = 0.05 = 1.69
Decision region :
Reject H0 if
|Test statistic| > |critical value|
1.4 < 1.69
Hence, we fail to reject H0
There isn't enough evidence they delivery time has been reduced below previous mean
Answer:
38.89% probability that a student that is taking Physics is also taking Statistics
Step-by-step explanation:
Conditional probability formula:
Two events, A and B.
In which
P(B|A) is the probability of B happening, given that A has happened.
is the probability of these two events happening.
P(A) is the probability of A happening.
In this problem, we have that:
A: physics
B: statistics.
90% of the students take Physics
This means that 
35% of the students take both Physics and Statistics.
This means that 
So
38.89% probability that a student that is taking Physics is also taking Statistics
Answer:
9 students chose duck
Step-by-step explanation:
The question says "6 <em><u>more</u></em> students chose duck <em><u>than</u></em> chose penguin"
This means that you would add 6 to the number that chose penguin, which is 3.
6 + 3 = 9
I tried to type the answer it said I was wrong
