Answer:
Step-by-step explanation:
I need help with it too
3n = 1/81; divide both sides by 3 to isolate n:
3n/3 = 1/81 divided by 3. Remember that when you divide, you use the reciprocal and multiply instead!!
n = 1/81(1/3) = 1/243. Now plug 1/243 back in for n, and 3/243 is equivalent to 1/81
Answer:
x > -1
Step-by-step explanation:
Simplify the inequality using the distributive property (multiply the term outside the bracket with each number inside the bracket). Then, isolate 'x' by performing the reverse operations for every number that's on the same side as 'x'. (Reverse operations 'cancel out' a number.)
18 < -3(4x - 2) Expand this to simplify
18 < (-3)(4x) - (-3)(2) Multiply -3 with 4x and -2
18 < -12x + 6 Start isolating 'x'
18 - 6 < -12x + 6 - 6 Subtract 6 from both sides
18 - 6 < -12x '+ 6' is cancelled out on the right side
12 < -12x Subtracted 6 from 18 on the left side
12/-12 < -12x/-12 Divide both sides by -12
12/-12 < x 'x' is isolated. Simplify left side
-1 < x Answer
x > -1 Standard formatting puts variable on the left side
Answer:
(0,2)
Step-by-step explanation:
I'm going to assume you meant Which point is ON the graph of f(x) = 2 * 5^x?
In order to do this question, all you need to do is pick any number as x. Lets pick 0 in this case.
f(x) = 2 * 5^x
f(0) = 2*5^0
= 2*1
= 2
So one point on the graph would be (0,2)
Why?
Because remember with functions, the f(x) can be swapped out with y, so when x = 0, y = 2.
Answer:
So then the probability that the batch would be accepeted is:
Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:
