Step-by-step explanation:
ab
= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)
= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²
= 2¹⁷⁴ * 5¹⁷¹
= 2³ * (2¹⁷¹ * 5¹⁷¹).
The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.
And there is a 8 infront as 2³ = 8.
Hence altogether there are 171 + 1 = 172 digits.
Subtract 3 from both sides:
2/3z=4
divide by 2/3 on both sides (multiple 3/2 on both sides)
z= 6
Answer:
36 girls
Step-by-step explanation:
2:3
24 divided by 2 is 12
3 times 12 is 36
Answer:
1. 1340
2. Variance = 47200, standard deviation = 217.25556
Step-by-step explanation:
1-
If X is the random variable that give the number of admissions, then the expected number of admissions<em> E[X]</em> for the fall semester is
1080*P(X=1080)+1380*P(X=1380)+1540*P(X=1540) =
1080*0.4+1380*0.1+1540*0.5 = 1340
2-
The <em>variance</em> is defined as
We have
whereas
So the variance equals
The <em>standard deviation is just the square root of the variance</em>, so, the standard deviation is
