Answer: 0.038
Step-by-step explanation:
Given: Total games : n= 375
Number of games won by the team that was winning the game at the end of the third quarter. = 300
The proportion (p) of the team that was winning the game at the end of the third quarter:
Critical z-value for 90% confidence: z* = 1.645
Margin of error =
The margin of error in a 90% confidence interval estimate of p
Hence, the required margin of error = 0.038
Answer:
a.) 4 half lives have passed
b) 9.388 minutes
Step-by-step explanation:
Formula for exponential growth / decay is given as:
Where is the final population
is the initial population
is the growth factor
is the time taken for the growth 'b'
is the amount of time
Here, we are given that:
= 6. 9 grams
= 110.4 grams
min
To find:
a.) Number of half lives taken for the decay.
b.) Total time in the decay.
Solution:
a.) Number of half lives taken for the decay is nothing but equal to .
Putting the values in the formula, we get:
Therefore, the answer is:
<em>4 half lives </em>have passed.
b.) Total time of decay. We have to find the value of here.
From answer of part a.):
The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Data;
The number of streets boards that can be produced in the budget is calculated by dividing the total amount budgeted by the cost of each street board. This is done mathematically as
We would have a total of 597 street names on the budget with some amount left.
We can calculated this by multiplying 597 by 134 and then subtracting the value from R80,000
The Municipality we be able to set up 597 street name boards with R2 left in the budget.
Learn more on division of numbers here;