Answer:
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Step-by-step explanation:
Very clear deck :
n1 = 38
x1 = 89.2
s1 = 3.1
Sure seal
n2 = 37
x2 = 92.4
s2 = 3.8
Confidence interval for difference in sample means :
(X1 - X2) ± margin of error
(X1 - X2) ± Tcritical * sqrt(s1²/n1 + s2²/n2))
Using the degree of freedom calculator ; df = 70
Margin of Error : Tcritical * sqrt(s1²/n1 + s2²/n2))
Tcritical at 90% confidence interval, df = 70 = 1.688
Margin of Error = 1.666 * sqrt(3.1²/38 + 3.8²/37)
Confidence interval :
(89.2 - 92.4) ± 1.666*√(3.1²/38 + 3.8²/37)
Answer:
24
Step-by-step explanation:
x = 8, y = 3, z = 2
(1/4) x {8[2(3)+3(2)]}
(1/4) x {8(6 + 6)}
(1/4) x {48 + 48} (by distributing)
1/4 x 96
= 24
Answer: the solutions are
x = 3 or x = - 11
Step-by-step explanation:
The given quadratic equation is expressed as
y = 2x² + 16x - 66 = 0
The equation is already in the standard form of ax² + bx + c
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 2
b = 16
c = - 66
Therefore,
x = [- 16 ± √(16² - 4 × 2 × - 66)]/2 × 2
x = [- 16 ± √(256 + 528)]/4
x = [- 16 ± √784]/4
x = (- 16 + 28)/4 or x = (- 16 - 28)/4
x = 12/4 or x = - 44/4
x = 3 or x = - 11
Answer:
Step-by-step explanation:
there is 15 emperor penguins...they make up 30% of all the penguins
so 30% of all the penguins is 15
let x represent all the penguins
turn ur percent to a decimal
0.30x = 15
x = 15 / 0.30
x = 50 <===== 50 total penguins
Answer:are there choises?
Step-by-step explanation:
