Step-by-step explanation:
the mean value is the sum of all data points divided by the number of data points.
first we have 7 tests and their mean value :
(t1 + t2 + t3 + t4 + t5 + t6 + t7) / 7 = 54
that means
(t1 + t2 + t3 + t4 + t5 + t6 + t7) = 54 × 7 = 378
in order for the mean value to be at least 60% after 8 tests, we need to add a t8, so that
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) = 60 × 8 = 480
because only then we have
(t1 + t2 + t3 + t4 + t5 + t6 + t7 + t8) / 8 = 60
and the student passes.
so,
(t1 + t2 + t3 + t4 + t5 + t6 + t7) + t8 = 480
378 + t8 = 480
t8 = 480 - 378 = 102%
the student would have to achieve 102% on the 8th test.
which would be normally impossible, but maybe the tests involve some bonus points.
If a system has at least one solution, it is said to be consistent .
If a consistent system has an infinite number of solutions, it is dependent
Answer:
24
Step-by-step explanation:
you would multiply 3 tables by 4 students, that would be twelve. then 12 times 2, which is 24. Or you could find the pencils by multiplying 2 with 8 and then multiplying by 3. :)
<span>I = 1832 </span>
<span>P = 16000 </span>
<span>T = 206/365 years </span>
<span>Rate of interest = [100*I] / [P*T] </span>
<span>= [100*1832] / [16000*206/365] </span>
<span>= 20.29% per annum</span>
Answer:
sin B= square root of 3/ 2
Cos B= 1/2
tan B= square root of 3/1
Sin C=1/2
cos C square root of 3/2
tan C= 1/square root of 3
Step-by-step explanation: