Answer:
The smallest value of p+q is 11
It happens when p = 6 and q = 5.
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Explanation:
Let's factor 180 in such a way that exactly one factor is a perfect square.
I'll ignore the trivial factor of 1.
Here are the possible factorizations we could go with:
180 = 4*45
180 = 9*20
180 = 36*5
Those factorizations then lead to the following
Then we have
p+q = 2+45 = 47
p+q = 3+20 = 23
p+q = 6+5 = 11
The smallest value of p+q is 11 and it happens when p = 6 and q = 5.
Side note: p+q is smallest when we go with the largest perfect square factor.
Answer:
It is 61 degress an acute angle.
Step-by-step explanation:
Answer:
We need a sample size of least 119
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Sample size needed
At least n, in which n is found when 
We don't know the proportion, so we use 
, which is when we would need the largest sample size.
Rounding up
We need a sample size of least 119
Theoretical probability is the likelihood of a certain event occurring calculated based on all the possible outcomes. (Theorizing about the probability of a certain occurrence)
Experimental probability is the likelihood of a certain event occurring calculated by performing trials of an activity and recording the number of times an event occurs, then dividing the total number of even occurrences by total number of trials. (Experimenting to find probability of a certain occurrence)
Answer:
-2-5
Step-by-step explanation:
-2-5 = -7
2-5 -3
-5+2
= -3
5+(-2) = -3
