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zubka84 [21]
3 years ago
13

What is the answer to this equation-24>6/7( h -8)

Mathematics
1 answer:
Tatiana [17]3 years ago
6 0

Answer:

h<36

Step-by-step explanation:

-24>⁶/7(h-8)

first of all we open the bracket on the right hand side, so we have

6/7(h-8)

=6/7*h-6/7*8

= 6h/7-48/7

=24 > 6h/7-48/7

so we multiply both sidea by 7 to eliminate the fractions,so we have..

24*7>7*(6h/7-48/7)

168>6h-48

we will then add 48 to both sides,

168+48>6h-48+48

216>6h

divide both sides by 6,

216/6>6h/6

36>h

h<36

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Given a table below which gives the years in A.D. for an archaeological excavation site using the method of tree ring dating:

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Part A:

The sample mean is given by:

\bar{x}= \frac{1229+1292+1187+1257+1268+1316+1275+ 1317+1275}{9} \\  \\  = \frac{11416}{9} =1268

Therefore, the sample mean is 1268.



Part B:

We calculate the sample standard deviation as follows:

s= \frac{1}{9-1} \left(\sqrt{(1229-1268)^2+(1292-1268)^2+(1187-1268)^2+(1257-1268)^2+(1268-1268)^2+(1316-1268)^2+(1275-1268)^2+(1317-1268)^2+(1275-1268)^2}\right)\\ \\ = \frac{1}{8}\left(\sqrt{(-39)^2+24^2+(-81)^2+(-11)^2+0^2+48^2+7^2+49^2+7^2}\right)\\ \\ = \frac{1}{8}\left(\sqrt{1521+576+6561+121+2304+49+2401+49}\right)\\ \\ = \frac{1}{8}\left(\sqrt{13,582}\right)\\ \\ = \frac{1}{8}(116.54)=14.57\approx15



Part C:

The 90% confidence interval is given by:

90\% \ C. \ I.=1268\pm1.65\left(\frac{15}{\sqrt{9}}\right) \\  \\ =1268\pm\left(\frac{15}{3}\right)=1268\pm5 \\  \\ =(1268-5, \ 1268+5)=(1263, \ 1273)
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