What is the area of a triangle h=5 b=6
2 answers:
You might be interested in
ANSWER
The point is
EXPLANATION
When two nonparallel lines are drawn on the same plane, they will intersect at a unique point. This point represents the solution to the two systems of equations represented by the lines.
The vertical line
and the horizontal line
will intersect at
This is the unique solution to the two equations.
See graph.
The point is
EXPLANATION
When two nonparallel lines are drawn on the same plane, they will intersect at a unique point. This point represents the solution to the two systems of equations represented by the lines.
The vertical line
and the horizontal line
will intersect at
This is the unique solution to the two equations.
See graph.
Answer:
0% probability that at least 1,500 will agree to respond
Step-by-step explanation:
I am going to use the binomial approximation to the normal to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that ,
.
In this problem, we have that:
So
What is the probability that at least 1,500 will agree to respond
This is 1 subtracted by the pvalue of Z when X = 1500-1 = 1499. So
has a pvalue of 1.
1 - 1 = 0
0% probability that at least 1,500 will agree to respond