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The maximum number of adults is 8 and children is 32 .
Step-by-step explanation:
Let the number of adults be-----------x, where x>0
Let the number of children be---------y, where y>0
Charges for an adult per trip = $18
Charges for a child per trip = $8
Total number of people a bus can carry = 40
The inequality for total number of people a bus can carry will be;
x+y ≤ 40 ...............(i)
The school can only spend $400 on the trip, thus the inequality for cost of trip will be;
$18 x + $8 y ≤ $400
18 x + 8 y ≤ 400 -----------(ii)
Using a graph tool to plot the inequalities and view the results gives the attached graph
From the graph, x= 8 and y=32
The maximum number of adults is 8 and children is 32 .
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Inequalities solutions by graph:brainly.com/question/13334731
Keywords: company, bus trips, events, adults, children, charges, maximum capacity, system of equations
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The test statistic z will be equal to -0.946 and it shows that there is no significant difference in the proportion of rehires between full time and part time.
Given sample sizes of 833 and 386 and result of samples 434 and 189.
Proportion of full time=434/833=0.52
Proportion of part time=189/386=0.49.
Difference in proportion =0.52-0.49
TTF- i∈ rho=0
TTF+i∈ rho≠0.
Mean of difference=0.03
Z=(X-μ)/σ
σ=
=0.0317
σ=0.0317
z=(0-0.03)/0.0317
=-0.03/0.0317
=-0.317
p value will be =0.1736.
Because p value is greater than 0.01 so we will accept the null hypothesis which shows that there is no significant difference in the proportions.
Hence there is no significant difference in the proportion of rehires between full time and part time.
Learn more about z test at brainly.com/question/14453510
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