Answer:
a=-8/5
Step-by-step explanation:
(-1/2a-5)=3a+1
To find the opposite of 1/2 a−5, find the opposite of each term.
-1/2a-(-5)= -3a+1
The opposite of −5 is 5.
-1/2a+5=-3a+1
add 3a to both sides
-1/2a+5+3a=1
Combine-1/2and 3a to get 5/2a
5/2a+5=1
Subtract 5 from both side
5/2a=1-5
Subtract 5 from 1 to get −4.
5/2a=-4
Multiply both sides by 2/5 =0.4, the reciprocal of 5/2=2.5.
a=-4x(2/5)
express -4x(2/5)=1.6 as single fraction.
a= -4x2/5
Multiply −4 and 2 to get −8.
a=-8/5
Fraction −8/5 ≈−1.6 can be rewritten as −8/5 =−1.6 by extracting the negative sign.
a=-8/5
I’ll say C because they’re the same terms as in In so
In 7 + In 5 would be In 12
You only add 7 and 5 which 12 so that’s where the 12 comes from
Hope that helped :)
Answer:
The expression that represents hourly rate Brendan earns working on a holiday is 
.
Step-by-step explanation:
Given:
Regular hourly rate = d
Percent extra Money earned on holidays = 25% more
We need to find expression represent the hourly rate Brendan earns working on a holiday.
Solution:
Extra money earned on holidays can be calculated by Percent extra Money earned on holidays multiplied by Regular hourly rate.
framing in equation form we get;
Extra money earned on holidays = 
Now we will find hourly rate Brendan earns working on a holiday.
hourly rate Brendan earns working on a holiday can be calculated by sum of Regular hourly rate plus Extra money earned on holidays.
framing in equation form we get;
hourly rate Brendan earns working on a holiday = 
Hence The expression that represents hourly rate Brendan earns working on a holiday is .
Answer:
Mean: 46 Median: 45 Mode: 45
Step-by-step explanation:
Mean: 41+45+39+56+48+45+42+34+47+62+35+58 = 552 then, 552/12 = 46
Median: Put numbers in order from least to greatest and cross one out on each side until you get to the middle number. 45 and 45 were the last two numbers to be crossed out, the middle of those would simply be 45!
Mode: 45 appears twice while the rest of the numbers only appeared once.
I hope this helped, good luck! :)
Answer:
C. A sample of size n from a population of size N is obtained through simple random sampling if every possible sample of size n has an equally likely chance of occurring. The sample is then called a simple random sample.
Step-by-step explanation:
Simple Random Sampling is the sampling where samples are chosen randomly, where each unit has an equal chance of being selected in a sample.
Option A is incorrect as the size of the sample and size of the population is not the same generally if it does happen then there will be no difference between sample and population.
Option B is incorrect as Simple Random Sampling is not a chance it is a way that samples can be taken.
Option D is incorrect as when samples are taken using a convenient sample then it is called Convenient Sample, not Simple Random Sample.
Thus, only option C is correct.
