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
<u>Answer:</u>
<h2>SA = 157 in²</h2>
<u>Steps:</u>
SA = 2LW + 2WH + 2LH
SA = 2(9×2) + 2(2×11/2) + 2(9×11/2)
SA = 2×18 + 2×22/2 + 2×99/2
SA = 36 + 22 + 99
SA = 157 in²
<span>The function can be represented as
y = f(x) =px(q -x)
So from the coordinate (6, 0)
y = 0 and x = 6
Substituting into the equation we have
0 = 6p(q - 6)
0 = 6pq -36p
6pq = 36p
q = 36p/ 6p
q = 6</span>
Answer:
Step-by-step explanation:
First, distribute the 2 to the 3z and -6 within the parenthesis.
You know have 6z -12/5 + 6 = 10
Subtract 6 from both sides of the equation
6z -12/5 = 4
Multiply 5 on both sides of the equation
6z -12 = 20
Add 12 to both sides of the equation
6z = 32
Divide by 6 on both sides of the equation
z = 32/6
Simplify
z = 16/3
I hope that this helps! :)
Answer
The statement is true be option (C) i.e m∠CEB = 45° .
To prove
Reason
As shown in the diagram
∠CEA = ∠CEB + ∠AEB
Bisector
A bisector is that cuts any object into two equal parts
As given
∠CEA is a right angle and EB bisects ∠CEA i.e EB bisect the ∠CEA in the two equal parts .
Thus
∠CEB = ∠AEB = 45 °
Therefore
m ∠CEB = 45 °
Therefore option (C) is correct .
Hence proved