Answer:
The function has an initial population size of 60,000 which increase at a rate of 1%
Step-by-step explanation:
Given the expression :
f(x) = 60,000(1.01)^x
Since 1.01 > 1 (exponential
The general form of an Exponential growth function.
y = p(1 + r)^x
p = 60000 = initial population
1 + r = 1.01 ; where r = growth rate
r = 1.01 - 1 ; r = 0.01 =
r = 0.01 * 100% = 1% growth rate
Answer:
55.7 in.
Step-by-step explanation:
I assume the figure is a rectangle and a half circle.
The three sides of the rectangle that need to be added toward the perimeter measure 15 in., 10 in., and 15 in.
Then you need the circumference of the half circle which has a 10-inch diameter.
circumference = (pi)d
circumference = 3.14 * 10 in. = 31.4 in.
We only need half the circumference, so we have 31.4 in./2 = 15.7 in.
Now we add the three sides of the rectangle listed above and the circumference of the half circle.
perimeter = 15 in. + 10 in. + 15 in. + 15.7 in.
perimeter = 55.7 in.
Answer: 34
Step-by-step explanation: 2/5 = 4/10 = 12/30 This means that the machine cuts out 12m lengths for every roll now you just take 400/12 and you get your answer. Now 400/12 will be 33,333... So just round it up to how many she needs aka 34
Answer:
completing the square
Step-by-step explanation:
Answer:
0.0111% probability that he answers at least 10 questions correctly
Step-by-step explanation:
For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.
This means that 
What is the probability that he answers at least 10 questions correctly?
0.0111% probability that he answers at least 10 questions correctly
