Answer:
you put the points into the slope formula and solve : (y2-y1)/(x2-x1)
1. (4 -1) / (-2 -3)
3 / -5
2. (-1 -(-2)) / (5 - 0)
(-1 +2) / 5
1/ 5
Step-by-step explanation:
i hope this helped :)
Answer:
And we can find the individual probabilities:
And replacing we got:
Step-by-step explanation:
Previous concepts
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".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability associated to a failure would be p =1-0.09 = 0.91
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find this probability:
And we can find the individual probabilities:
And replacing we got:
Answer:
a) 96% CI: 
b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.
Step-by-step explanation:
The proportion of the sample is

The standard deviation of the sample proportion is

For a 96% CI, the z-value is z=1.751.
Then, the 96% CI can be written as:

b) If we estimate that the fraction of voters is 0.57, we can claim with 96% confidence that the error is equal or less than 0.06 from the estimated proportion.
1000 x 5 = 5000
Lana's dad would take about 5000 steps.
5000 x 2 = 10,000
Lana would take about 10,000 steps.
Glad I could help, and good luck!
Answer:
y = -x - 1
Step-by-step explanation:
hello,
this is a line, right?
So the equation should be something like
y = ax+b and we need to find a and b
we can see that the points (-1,0) and (0,-1) are in the line so we can write
0 = a*(-1) + b <=> b - a = 0 <=> a = b
-1 = a*0 + b <=> b = -1
so the equation is
y = -x - 1
hope this helps