Hello!
A sample of Bromine-82 begins at 80 mL. We are given that this value will decrease by half of its current amount every 35 hours. First, we'll determine the number of times that 35 goes into 140. This will reveal the number of times we should divide the sample by 2:
140 ÷ 35 = 4
We have now proven that there are 4 periods of 35 hours in 140 hours. This means that we will divide the sample in half a total of 4 times, as follows:
1. 80 ÷ 2 = 40
2. 40 ÷ 2 = 20
3. 20 ÷ 2 = 10
4. 10 ÷ 2 = 5
We have now proven that an 80 mL sample of Bromine-82 will be reduced to only 5 mL after 140 hours. Therefore, the correct answer is 5 mL.
I hope this helps!
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
Answer:
Step-by-step explanation:
For the null hypothesis,
H0: p = 88
For the alternative hypothesis,
Ha: p < 88
Considering the population proportion, probability of success, p = 0.88
q = probability of failure = 1 - p
q = 1 - 0.88 = 0.12
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 21
n = number of samples = 32
P = 21/32 = 0.66
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.66 - 0.88)/√(0.88 × 0.12)/32 = - 3.83
The corresponding p value would be determined by looking at the normal distribution table for the area below the z score. Therefore,
P value = 0.00006
-4-(2m+3)=-m-(5+3)
-4-2m-3=-m-5-3m
-2m-7=-4m-5
-2m+4m=-5+7
2m=2
m=2/2
m=1
The first thing you should do is graph the following lines
2x + 3y = 8
x-2y = -3
x = 0
y = 0
After you have graphed them, you should proceed to evaluate points in the xy plane that meet the following restrictions:
2x + 3y≤8, x-2y≥-3, x≥0, y≥0
The resulting region is the region "R" shown in the attached graph.
