Assuming you meant square root of 90 it would be
90 equals 3 times the square root of 10
√90 = 3√10
Answer: The smaller piece is 750m long.
Step-by-step explanation:
let the smaller piece be x
so
150m + x + x = 1650
150 + 2x = 1650
or, 2x = 1500
so, x = 750 m
Well, if we see the graph of x^2
the vertex is (0,0)
if we reflect it acrosss the x axis, teh vertex is still (0,0)
verteical strech doesn't change the vertex
vertex of g(x) is same as f(x)
first answer
Answer:
(7.5 x 10-10 kg) / (9.1 x 10-31 kg) ≅ 8.24 x 1020
Step-by-step explanation:
Divide the mass of one dust particle by the mass of one electron, and that will be your answer.
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
