Answer:

Step-by-step explanation:
We are given that

We have to find the value of given logarithms by using change-base formula
Base-change formula:

Where x=New base
Using the formula then, we get

Substitute the values 
Then,we get


Answer:
D
Step-by-step explanation:
hope this helps with your work
Answer:
1st club 8 games 2nd cub 1
Answer:
3x + 2 ≤ 53
Step-by-step explanation:
"2 more than" means that there will be a + 2 in the equation. "3 times a number" means that 3 is multiplied by an unknown number which can be represented by a variable such as x. "At most" means less than or equal to, since the number cannot be greater than.
So generally, you might want to write the equation as 2 + 3x ≤ 53, but 2 + 3x is not in y = mx + b form. Basically, you need to write it as 3x + 2 ≤ 53 because that's how math works.
Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is
= 0.5875
z-score for 100 g miraculin is
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100