Answer:
1.14 liters
Step-by-step explanation:
We have 8% glycerin solution and we need to make it 16% glycerin solution [more concentration].
When we add "x" liters, we add glycerin as well as changes the total. in 12 Liters, there is 12 * 0.08 = 0.96Liters of glycerin. How much we need to add to this??
Note, 16% = 0.16
We can write a Ratio as shown below, cross multiply and solve for x:

We need to add around 1.14 liters
Answer:

Step-by-step explanation:
Point-slope form of the equation of a straight line is:
(1)
The two points given in the problem are:

So, the slope of the line is given by:

And substituting into eq.(1), we find:

To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
Answer: The measures of all the three angles are 24 , 60 and 96
Step-by-step explanation:
Since the measures are given in ratio form, the first thing is to find the total ratio, which is
2 + 5+ 8 = 15
Recall that the sum of angles in a triangle is 180 ,so to calculate each angle , we have
2/15 x 180 = 24
also , 5/ 15 x 180 = 60
Finally, 8/15 x 180 = 96
The triangle is obtuse , since it is having one angle greater than 90.
It can not be acute because of the existence of 96 , for a triangle to be acute , all the angles must be less than 90 , and it can not be right triangle because there is no existence of 90
Answer:
The probability that exactly 12 buyers would prefer green
=0.00555
Step-by-step explanation:
We are given that
p=50%=50/100=0.50
n=14
We have to find the probability that exactly 12 buyers would prefer green.
q=1-p
q=1-0.50=0.50
Using binomial distribution formula








Hence, the probability that exactly 12 buyers would prefer green
=0.00555