A heptagon has 7 sides.
Sum of all interior angles = (7 - 2) x 180 = 900°
900 - 776 = 124°
Answer: The final angle must be 124°
Answer:
m = -2
y-intercept = 4
Step-by-step explanation:
m = y2-y1/x2-x1
so
m = -2-4/3-0
=-2
y=mx+b
Substitute the coordinates into the equation to find b
4=-2(0)+b
4=b
so y intercept is 4
y=-2x+4
Subtract 1.75 from 5.00
5.00-1.75= 3.25
Answer:
b. It will decrease by a factor of 2
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The lower end of the interval is given by:

The upper end of the interval is given by:

The length of the interval is the subtraction of the upper end by the lower end, so it is:

This means that the length is inverse proportional to the square root of the size of the sample.
So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.
We take 2 marbles from 20 marbles and the total ways is 20x19:2=190
But we need only 2 red marbles and the ways is 14x13:2=91
And finally we do the division 91:190=91/190 is the probability we need