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Firlakuza [10]
3 years ago
5

Find the ninth term of the sequence sqrt 5, sqrt 10, ^2sqrt 5

Mathematics
1 answer:
hjlf3 years ago
5 0
The rule of geometric sequence is   ⇒⇒⇒ a * r^(n-1)
Where a is the first term and  r is the common ratio
for the given sequence  √5 , √10 , 2√5 , .......
a = √5
r = √10 / √5 = √2
The ninth term = √5 * (√2)^(9-1) = √5 * (√2)⁸ = 16 √5

the correct answer is the third option 16√5
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Solve For X 4/5+18/x=8
11Alexandr11 [23.1K]
4/5+18/x=8
18/x=8-4/5
18/x=36/5
90=36x
x=5/2
6 0
3 years ago
It has been suggested that night shift-workers show more variability in their output levels than day workers (σ2N > σ2D). Bel
Murljashka [212]

Answer:

<em>Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance </em>

<em>Null hypothesis is rejected </em>

<em> The night shift-workers show more variability in their output levels are greater than day workers </em>

Step-by-step explanation:

<u>Step(i):</u>-

Given first sample size n₁ = 9

Given mean of the first sample x₁⁻ = 520

Given sample variance of the first sample'S²₁' = = 38

Standard deviation of the first sample 'S₁' = √38 =6.16

Given second sample size n₂ = 8

Given mean of the second sample x₂⁻ = 540

Given sample variance of the second sample ( 'S²₂' = 20

Standard deviation of the second sample 'S₂' = √20 = 4.4712

<u><em>Step(ii):-</em></u>

<em>Null hypothesis :H₀:  σ²₁ =σ²₂</em>

<em>Alternative Hypothesis:H₁: σ²₁ > σ²₂</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S^2_{1} }{n_{1} }+\frac{S^2_{2} }{n_{2} }  } }<em></em>

<em>              </em>

            t = \frac{520 - 540 }{\sqrt{\frac{38 }{9 }+\frac{20 }{8 }  } }

           t =    - 7.72

          |t| = |- 7.72| = 7.72

Degrees of freedom

<em> ν = n₁ + n₂ -2 = 9 +8 -2 = 15</em>

<em>t₀.₀₅ = 2.1314</em>

<u><em>Final answer</em></u><em>:-</em>

<em>Calculated |t |= 7.72 > 2.1314 at 0.05 level of significance </em>

<em>Null hypothesis is rejected </em>

<em> The night shift-workers show more variability in their output levels are greater than day workers </em>

4 0
3 years ago
Cuánto es 9.5 × 4/3 ???​
kenny6666 [7]

Answer:

(9.5)(4) /3

=  38 /3

(Decimal: 12.666667)

 Espero que ayude!!

4 0
3 years ago
N is an integer -1 &lt; n &lt; 4 list the possible values of n
Agata [3.3K]

Answer:

0 1 2 3

Step-by-step explanation:

Since n is an integer

We have n = { 0 1 2 3 }

4 0
3 years ago
only answer this if you know the correct answer please answer all questions correctly please please please please please please,
Serhud [2]

Answer:

10. 6

11.c

6. 39

2. c=7p

7 0
3 years ago
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