Answer:
−35.713332 ; 0.313332
Step-by-step explanation:
Given that:
Sample size, n1 = 11
Sample mean, x1 = 79
Standard deviation, s1 = 18.25
Sample size, n2 = 18
Sample mean, x2 = 96.70
Standard deviation, s2 = 20.25
df = n1 + n2 - 2 ; 11 + 18 - 2 = 27
Tcritical = T0.01, 27 = 2.473
S = sqrt[(s1²/n1) + (s2²/n2)]
S = sqrt[(18.25^2 / 11) + (20.25^2 / 18)]
S = 7.284
(μ1 - μ2) = (x1 - x2) ± Tcritical * S
(μ1 - μ2) = (79 - 96.70) ± 2.473*7.284
(μ1 - μ2) = - 17.7 ± 18.013332
-17.7 - 18.013332 ; - 17.7 + 18.013332
−35.713332 ; 0.313332
Hi there!
• Base, b = 8 units
• Altitude, a = 10 units
Area of Triangle =

× b × a =

× 8 × 10 = 40 units.
Hence,
Th' required area of triangle is 40 units
~ Hope it helps!
1/9
just divide 54 by 6 and you get 1/9
Answer: the amount she must invest is $1852
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the amount invested.
P represents the principal or amount invested.
R represents interest rate
T represents the duration of the investment in years.
From the information given,
I = 2500 - P
R = 7%
T = 5 years
Therefore,
2500 - P = (P × 7 × 5)/100
2500 - P = 0.35P
0.35P + P = 2500
1.35P = 2500
P = 2500/1.35
P = 1852