Answer:
Number of cars needed for the trip = 11
Step-by-step explanation:
Given that:
Number of children = 40
Number of adults = 12
Total number = 40 + 12 = 52 people
Each car can hold 5 people.
Number of cars =
Number of cars = 10.4
Rounding off to next whole number as one car can hold a maximum of 5 people.
Number of cars = 11
Hence,
Number of cars needed for the trip = 11
Expanded, the function is ...
... p(x) = x² -x +1
Compared to
... ax² +bx +1
_____
The negative discriminant means there are no real roots, hence no x-intercepts.
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>