Answer:
The salt concentration of the mixed solution = 10%
Step-by-step explanation:
First assuming that the concentration of salt given is on a vol% basis.
First solution has 0.7 gallon of 5% salt
Amount of salt in this solution = 5% × 0.7 = 0.035 gallon
Second solution has 0.3 gallon of 22% salt
Amount of salt in this solution = 22% × 0.3 = 0.066 gallon
Total amount of salt in the resulting solution = 0.035 + 0.066 = 0.101 gallon
Total volume of the resulting solution = 0.7 + 0.3 = 1.00 gallon
Concentration of the mixture of salt = (0.101/1) = 0.101 = 10.1% = 10% to the nearest percent
Hope this Helps!!!
Answer:
Step-by-step explanation:
Confidence interval for the difference in the two proportions is written as
Difference in sample proportions ± margin of error
Sample proportion, p= x/n
Where x = number of success
n = number of samples
For the men,
x = 318
n1 = 520
p1 = 318/520 = 0.61
For the women
x = 379
n2 = 460
p2 = 379/460 = 0.82
Margin of error = z√[p1(1 - p1)/n1 + p2(1 - p2)/n2]
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, confidence level of 95% is 1.96
Margin of error = 1.96 × √[0.61(1 - 0.61)/520 + 0.82(1 - 0.82)/460]
= 1.96 × √0.0004575 + 0.00032086957)
= 0.055
Confidence interval = 0.61 - 0.82 ± 0.055
= - 0.21 ± 0.055
16.6 is the answer. 16 is the whole number so u just divide 3 and 5 and get .6
This is an example of conditional probability because we are trying to find the probability of an event occurring GIVEN the occurrence of some other event. There is a formula for this (see image attached).
If we follow this formula, the numerator would be the probability of (A AND B) which in this case is "48% of the class passed BOTH exams." The denominator in the formula would be that "60% of the class passed ONLY THE SECOND exam."
Therefore, P(A and B) = 0.48, which is 48% expressed as a decimal and P(B)= 0.60, which is 60% expressed as a decimal. Then, you can figure out the answer by dividing.