Answer:
-8
Step-by-step explanation:
you have to make them equivalent so and the one thing missing from the other side of the equation
Step-by-step explanation:
What Is Cone Height Formula in Geometry? The cone height formula calculates the height of the cone. The height of the cone using cone height formulas are, h = 3V/πr 2 and h = √l2 - r2, where V = Volume of the cone, r = Radius of the cone, and l = Slant height of the cone.
Answer:
0.5 ; 0.475 ; 0.689 ; 0.4013
Step-by-step explanation:
Given that:
Rate of production of defective batteries p = 0.05
Number of batteries produced (n) = 10
The expected number of defective batteries = mean = n * p = 10 * 0.05 = 0.5 batteries
Variance of defective batteries :
Var(X) = n * p * q ; q = 1 - p
Hence,
Var(X) = 10 * 0.05 * 0.95 = 0.475
Standard deviation (X) = sqrt(variance) = sqrt(0.475) = 0.689
Probability that atleast 1 battery is defective :
Using the binomial probability function
P(x ≥ 1) = 1 - p(x = 0)
= 1 - q^n
= 1 - 0.95^10
= 1 - 0.59873693923837890625
= 0.40126306076162109375
= 0.4013
10 - 4 2/3
First, we convert mixed fraction into improper fraction.
4 2/3 = ((4*3)+2)/3 = 14/3
In subtracting fractions:
1) Both must have the same denominator.
10 is 10/1 and 14/3 have different denominators.
2) Once they have the same denominator, then subtraction may be performed.
10 - 14/3 = 10 * 3/3 - 14/3 = 30/3 - 14/3 = 16/3
3) 16/3 must be simplified.
16/3 = 5 1/3
10 - 4 2/3 = 5 1/3
