First distribute the 3 into 4v-1 which will result in:
12v-3-8v=17
then add/subtract your v values, so 12v-8v, which leaves:
4v-3=17
then add 3 to both sides, which cancels it out on the left side, leaving:
4v=17+3 simplified to 4v=20
next divide both sides by 4, which cancels out the 4 on the left side, leaving:
v=20/4 simplified to v=5
Good luck!
C - is a hypotenuse,
so we can use Pythagorean theorem.
c² =a² +b²
c² = 8²+12²=64 + 144 = 16*4 +16*9=16(4+9) =16*13
c²=16*13
c=√(16*13)=√16*√13=4√13
c=4√13
Answer C. 4√13
Answer:
In a normal distribution, 50 percent of the data are above the mean, and 50 percent of the data are below the mean. Similarly, 68 percent of of all data points are within 1 standard deviation of the mean, 95 percent of all data points are within 2 standard deviations of the mean, and 99.7 percent are within 3 standard deviations of the mean.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
Also:
The normal distribution is symmetric, which means that 50% of the data is above the mean and 50% is below.
Then:
In a normal distribution, 50 percent of the data are above the mean, and 50 percent of the data are below the mean. Similarly, 68 percent of of all data points are within 1 standard deviation of the mean, 95 percent of all data points are within 2 standard deviations of the mean, and 99.7 percent are within 3 standard deviations of the mean.
If it takes 1/3 of an hour every night we need to find how many thirds are in 5.
We divide 5 by 1/3 which is the same as 5 times 3 which equals 15.
It will take 15 nights to study for 5 hours.