Answer:
Systematic sampling
Step-by-step explanation:
An EPA contractor needing to test the concentration of a substance in ten samples out seventy samples provided form a single source at regular time intervals.
For the contractor to effectively carry out the testing he has to employ a Non-probability system of sampling which is called Systematic sampling, because in systematic sampling we can assume the population size (x ) which in this case is 70 and the sample size( n ) to be 10
He will have to select ; ( x / n )^th of the sampling frame for best results
See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
<h3>How to plot the numbers on the number line?</h3>
The numbers are given as:
5.3, 5 1/5 and 5
We start by representing the numbers as decimals (i.e. real numbers).
So, we have:
5.3, 5.2 and 5
Reorder the numbers in ascending number (i.e. from least to greatest)
So, we have
5, 5.2 and 5.3
Next, we plot the numbers on a number line using a scale of 0.1
This can be visualized as
5 5.2 5.3
See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
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<h2>3</h2>
S<--->T
T<--->S
Same thing
<h2>4</h2>
Both sides a equivalent therefore both triangle areas are also equivalent
The right answer is Option B: 7p+12t=62
Step-by-step explanation:
Given,
Amount spent by Art and his friends = $62
Cost of one ticket = $12
Cost of t tickets = 12t
Cost of one bucket of popcorn = $7
Cost of p buckets of popcorn =7p
According to given statement;
7p+12t=62
7p+12t=62 represents the number of tickets bought, t, and the number of buckets of popcorn bought, p.
The right answer is Option B: 7p+12t=62
Keywords: addition, linear equation
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Answer:
The principal is $4,150.
Step-by-step explanation:
We have to find the principal if the maturity value is $4,500 and the simple interest is $350.
<u>As we know that the formula for calculating the final amount or maturity amount is given by;</u>
Amount = Principal + Interest
Here, Simple interest = $350
Amount or Maturity value = $4,500
So, the Principal = Amount - Interest
Principal = $4,500 - $350
= $4,150
Hence, the principal if the maturity value is $4,500 and the simple interest is $350 is $4150.
