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:
Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 6 minutes
σ = 1 minute
the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as
P(4 ≤ x ≤ 8)
For x = 4,
z = (4 - 6)/1 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 8
z = (8 - 6)/1 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75
The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is
0.75 × 100 = 75%
Since BAF is opposite of DAE, they are equal to each other.
134 - 89 = 45
The correct answer is 45
Answer:
$15348
Step-by-step explanation:
i = prt is the simple interest equation
i = 12,000(0.031) = 372
i = 372*9 = 3348
12000+3348 = $15348
