You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
Number of single women = n₁ = 15
Number of single men = n₂ = 25
Mean for men = 7 hours per week
Mean for women = 4.5 hours per week
Standard deviation for men = s₁=1.5
Standard deviation for women = s₂=1.1
We need to find the value of the pooled standard deviation for the difference in mean time spent on housework single men and women.
So, Value of pooled variance is given by
So, Value of pooled standard deviation is given by
Hence, Option 'D' is correct.
90+31= 121
3x-1+121=120
3x+120=180
-120
3x=60
Divide by 3 on both sides
X=20
Answer:
Since they had no proficient mathematical framework.
Step-by-step explanation:
They had no proficient like number system. They had no reliable numerical system.
No fine is paid if the DvD is returned by the due date.