Answer:
6 ounces
Step-by-step explanation:
Let x = the number of ounces of the 15% alcohol solution needed to be mixed with the 4 ounces of 20% alcohol solution to obtain the 17% alcohol solution.
After converting the percentages to their decimal equivalents, set up the necessary equation as follows:
0.15x+0.20(4) = (x+4)(0.17) Simplify and solve for x.
0.15x+0.8 = 0.17x+0.68 Subtract 0.15x from both sides.
0.8 = 0.02x+0.68 Now subtract 0.68 from both sides.
0.12 = 0.02x Finally, divide both sides by 0.02
x = 6
You need to mix 6 ounces of 15% alcohol solution with 4 ounces of 20% alcohol solution to obtain 10 (x+4)ounces of 17% alcohol solution.
Answer: Frequencies .
Step-by-step explanation:
In statistics theory the chi-square test statistic is calculated by considering each cell and the expected frequency is subtracted from the observed frequency after that the difference is squared, and the total is divided by the expected frequency. This is highlight that the key focus of the chi-square test is the frequencies .
F(x) = 1 - x
f(-3) = 1 - (-3)
f(-3) = 4
