Answer:
Binomial; \mu p=87.5, \sigma p=7.542
Step-by-step explanation:
- a distribution is said be a binomial distribution iff
- The probability of success of that event( let it be p) is same for every trial
- each trial should have 2 outcome : p or (1-p) i.e, success or failure only.
- there are fixed number of trials (n)
- the trials are independent
- here, the trials are obviously independent ( because, one person's debt doesn't influence the other person's)
- the probability of success(0.35) is same for every trial
(35/100=0.35 is the required p here)
[since, the formula for
]
[since, the formula for [tex]\sigma _{p} =\sqrt{n*(p)*(1-p)}
- therefore, it is Binomial; \mu p=87.5, \sigma p=7.542
Answer: Third Option

Step-by-step explanation:
We have the following exponential equation

We must solve the equation for the variable x
To clear the variable x apply the
function on both sides of the equation

Simplifying we get the following:

To simplify the expression
we apply the base change property

This means that:

Then:



Answer: 6 gallons
Step-by-step explanation:
4 gallons of water for 30 plants
turn into ratio
4:30
simplify
2:15
multiply both sides by 3 to get 45 plants
6:45
6 gallons for 45 plants
The domain of the square root, the 4th root, the 6th root, etc., is [0, infinity); in other words, the input to these functions cannot be negative.