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Harrizon [31]
3 years ago
12

Forty students have completed a math test. The mean score was 60 and a mean absolute deviation was 12. The teacher has decided t

o adjust the scores by adding 5 points to each test score. Calculate the new mean and mean absolute deviation.
Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

The new mean would be 65, the deviation becomes 7

Step-by-step explanation:

We can show a mock exam result below with prior mean of 60

Showing 12 students instead of 40 as the same rate would change if 40 students totaled 60 mean than those with same mean as 12 students.

42 45 49 51 55 56 63 64 68 72 73 86

mean total =724/ 12 = 60.33

We add 5 to each test score

47 50 54 56 60 61 68 69 73 77 78 91  

mean total = 784 /12 =65.33

The mean just increases at same rate.

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The recursive rule for a sequence is an=an-1+7, where a1=15.What is the explict rule for this sequence
posledela

well, the recursive rule of aₙ = aₙ₊₁ + 7, where a₁ = 15, is simply saying that

we start of at 15, and the next term is obtained by simply adding 7, and so on.

well, that's the recursive rule.

so then let's use that common difference and first term for the explicit rule.

\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\ \cline{1-1} a_1=15\\ d=7 \end{cases} \\\\\\ a_n=15+(n-1)7\implies a_n=15+7n-7\implies a_n=7n+8

5 0
3 years ago
8x to the 2nd power +2x-3=0
Papessa [141]

Answer:

x= 1/2 and -3/4

Step-by-step explanation:

By using factorization, we can solve this equation.

8x^2+2x-3=0

Factor:

(2x-1)(4x+3)=0

Solve:

2x-1=0

2x=1

x=1/2

Solve again:

4x+3=0

4x=-3

x=-3/4

Hope this helped

5 0
3 years ago
Find the value of x. Leave your answer in simplest radical form.
FrozenT [24]

Answer:

x=10.82

Step-by-step explanation:

6^2+9^2=c^2

so

36+81=c^2

117=c^2

117/2=10.82

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3 years ago
Addie bought 9 candy bars and ate 1/2 of them. Frankie bought 6 candy bars and ate 2/3 of them
elena-s [515]

Answer:

addie at 4.5 candie bars and frankie had 4

6 0
2 years ago
Guys im stuck on 7 + 3 please help and I have to explain how I got that answer please explain also thanks
blsea [12.9K]

Answer:10

Step-by-step explanation:If you add 3 to seven with your fingers you get 10.

4 0
4 years ago
Read 2 more answers
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