Panchito needs to make 80 ml of a 39% alcohol solution. He is going to make it by mixing a 50% alcohol solution with a 6% alcohol solution. How much if each should he use?​

60ml of the 50% alcohol solution  and 20ml of the 6% alcohol solution

Step-by-step explanation:

We can build a system of equation for solve this problem

x = first solution

y = second solution

x + y = 80

0.5x + 0.06y = 80 * 0.39

x + y = 80

0.5x + 0.06y = 31.2

x = 80 -y

0.5(80-y) + 0.06y = 31.2

40 - 0.5y + 0.06y = 31.2

-0.44y = -8.8

y = 20

x = 80 - 20 = 60

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;