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Alika [10]
3 years ago
14

What is the mean of the following list of numbers?

Mathematics
1 answer:
Elina [12.6K]3 years ago
3 0

Hi

The Mean is 11.5

Hope this helps

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Which graph shows a system of equations with no solutions?
podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

7x - 2y = 16\\21x + 6y =24

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}

substituting the following x in 2nd equation (21x + 6y = 24) We get

21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2

Put y= -2 in x equation

x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71

Comparing these (x,y) values we can understand that they never meet at a point

4 0
3 years ago
A leading bank is coming up with an investment that pays 8 percent interest compounded semiannually. What is the investment's ef
uranmaximum [27]
The effective rate is calculated in the following way:
r =  {(1 +  \frac{i}{n} )}^{n} - 1
where r is the effective annual rate, i the interest rate, and n the number of compounding periods per year (for example, 12 for monthly compounding).
our compounding period is 2 since the bank pays us semiannually(two times per year) and our interest rate is 8%
so lets plug in numbers:
r = {(1 +  \frac{8\%}{2}) }^{2}  - 1 \\ r =  {(1 +  \frac{1}{25}) }^{2}  - 1 \\ r =  \frac{676}{625}  - 1 \\ r = 0.0816 \: or \: 8.16\%
5 0
3 years ago
What value of c makes the polynomial below a perfect square? x^2+10+c
Inessa05 [86]

Answer: Hi there

To find the last term in order to obtain the perfect square, take the middle term, divide it by 2, and take its square. 

10 ÷ 2 = 5

5^2 = 25

Thus, the equation would be x^2 + 10x + 25

The answer is 25

Maybe mark Brainliest

:D

4 0
3 years ago
Make x the subject of the formula<br>y = mx + b​
zubka84 [21]

Step-by-step explanation:

y=mx+c

Take c from both sides:

y-c = mx

Divide both sides by m:

(y-c) / m =x

Now swap sides to make it prettier:

x = (y-c) / m

6 0
3 years ago
Read 2 more answers
I want left an empty 3 gallon bucket outside it rain for several days when he check the bucket have been filled with 5 quarts of
pochemuha
7 quarts because 1 gallon is 4 quarts so 4•3=12 and 12-5=7 (Brainliest please)
8 0
4 years ago
Read 2 more answers
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