Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Group 1:
μ1 = 59.7
s1 = 2.8
n1 = sample size = 12
Group 2:
μ2 = 64.7
s2 = 8.3
n2 = sample size = 15
α = 0.1
Assume normal distribution and equ sample variance
A.)
Null and alternative hypothesis
Null : μ1 = μ2
Alternative : μ1 < μ2
B.)
USing the t test
Test statistic :
t = (m1 - m2) / S(√1/n1 + 1/n2)
S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))
S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))
S = 6.4829005
t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)
t = - 5 / 2.5108165
tstat = −1.991384
Decision rule :
If tstat < - tα, (n1+n2-2) ; reject the Null
tstat < t0.1,25
From t table :
-t0.1, 25 = - 1.3163
tstat = - 1.9913
-1.9913 < - 1.3163 ; Hence reject the Null
We know that
[perimeter of rectangle]=2*(<span>length+width)
</span>
Let
x-----------> length
y-----------> width
so
P=2*(x+y)-----------> 244=2*(x+y)-----> x+y=122-------> y=122-x
Area=x*y-------> x*(122-x)----> 122x-x²
find the derivative function and equals to zero
122-2x=0-----> 122=2x----------> x=61 m
y=122-x------> y=122-61---------> y=61 m
<span>the maximum area is given by a square
</span>
the answer is
is a square of side 61 m
2x = 3
x = 3/2 or 1 1/2 or 1.5
Answer:
Number of child tickets = 9
Number of adult tickets = 36
Number of senior tickets = 27
Step-by-step explanation:
Given:
The ratio of adult tickets to child tickets = 4:1
Ratio of adult tickets to senior tickets = 4:3
Number of total tickets = 72
Find:
The number of each ticket.
Computation:
Ratio between Adult to senior to child = 4:3:1
So,
Number of child tickets = [1 / (4+3+1)]Total tickets
Number of child tickets = [1 / (8)]72
Number of child tickets = 9
Number of adult tickets = [4 / (4+3+1)]Total tickets
Number of adult tickets = 36
Number of senior tickets = [3 / (4+3+1)]Total tickets
Number of senior tickets = 27
1.96, if you multiply that by the length, (which is 2.5) then you will get the area of 4.9 hope this helps
