Answer:
Step-by-step explanation:
Let the number of cars be x and buses be y
<u>Then we have below inequalities as per given:</u>
- 5x + 32y ≤ 1310
- x + y ≤ 135
It is easy to notice that cars occupy 6 times less area than buses but cost of parking is 3 times less. So we would need maximum number of cars and minimum number of buses to maximize income
<u>Let's assume there are 135 cars and buses, then from the second inequality:</u>
<u>Substitute it in the first one:</u>
- 5(135 - y) + 32y ≤ 1310
- 675 - 5y + 32y ≤ 1310
- 27y ≤ 1310 - 675
- 27y ≤ 635
- y ≤ 635/27
- y≤ 23.5
The greatest number of buses is 23
Option D. 23 is correct
Answer:
<em>The test statistic Z = 1.844 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<em>Yes he is right</em>
<em>The manager claims that at least 95 % probability that the plant is operating properly</em>
Step-by-step explanation:
<u>Explanation</u>:-
Given data Population mean
μ = 885 tons /day
Given random sample size
n = 60
mean of the sample
x⁻ = 875 tons/day
The standard deviation of the Population
σ = 42 tons/day
<em><u>Null hypothesis</u></em><em>:- H₀: </em>The manager claims that at least 95 % probability that the plant is operating properly
<u><em>Alternative Hypothesis :H₁</em></u>: The manager do not claims that at least 95 % probability that the plant is operating properly
<em>Level of significance</em> = 0.05
The test statistic



|Z| = |-1.844| = 1.844
<em>The tabulated value</em>
<em> </em>
<em></em>
<em>The calculated value Z = 1.844 < 1.96 at 0.05 level of significance</em>
<em>Null hypothesis is accepted </em>
<u><em>Conclusion</em></u><em>:-</em>
<em>The manager claims that at least 95 % probability that the plant is operating properly</em>
<em></em>
<em></em>
We know, Time = distance / speed
t = 0.0568182 / 50 [ 300 Feet = 0.0568182 miles ]
t = 0.001136 * 3600 s
t = 4.09 sec
In short, Your Answer would be 4.09 Seconds
Hope this helps!
Answer:
3(2n-9)
Step-by-step explanation:
used distributive property
6n - 27 = (3 · 2n) - (3 ·9)
6n - 27 = 3(2n - 9)