Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they tak
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Answer:
The total yards of cloth needed for the flags = 28
Step-by-step explanation:
Given:
Jake and his dad are making (6,12,18) different types of flags.
Each flag takes of a yard of cloth.
To find the total yards of cloth needed in all.
Solution:
Flag A :
Each flag requires = of a yard of cloth
Total number of this flag = 6
Total cloth required for this flag =
Flag B:
Each flag requires = of a yard of cloth
Total number of this flag = 12
Total cloth required for this flag =
Flag C:
Each flag requires = of a yard of cloth
Total number of this flag = 18
Total cloth required for this flag =
Thus, total yards of cloth needed for the flags =
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><em></em>
<em> </em>
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>
In can be less mental effort if the equation is multiplied by -1 first.
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123
.. x^2 -10x +8 = 0
.. x^2 -10x +25 +8 -25 = 0
.. (x -5)^2 = 17
.. x -5 = ±√17
.. x = 5 ±√17
The values of x that satisfy the given equation are
.. x = 5 -√17 ≈ 0.877
.. x = 5 +√17 ≈ 9.123