Solution :
a). Standard error of sample mean = 
= 0.1290994
The observed mean point be 
Test statistics z = 
For the left one sided test, critical value of z to reject 
We reject 
when test statics z < -1.64
b). Value of z < -1.64
∴ we reject when 
c). The probability of rejecting when 
,
Answer:
A
Step-by-step explanation:
The two angles in the triangle in the question are 58 degrees and 54 degrees.
Three angles in a triangle add up to 180 degrees
58 + 54 + x = 180
112 + x = 180
subtract 112 on both sides
x = 180 - 112 = 68 degrees
Only option A has a triangle that has the same angles, thus triangles are similar.
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(1/4 hour)/(1/12 lawn) = 3 hour/lawn
Selection D is appropriate.
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<h3>Answer :</h3>
The factor of (x + y)³- (x³ + y³) is <u>3xy</u>
<h3>Step By Step Solution :</h3>
→ (x + y)³- (x³ + y³)
→ (x + y) - (x + y)(x² - xy + y²) [Using identity a³ + b³ = (a + b)(a²- ab+ b²)]
→ (x + y)(x² + y² + 2xy - x² + xy - y²)[Using identity, (a + b)² = (a² + b²+ 2ab)]
→ (x + y) (3xy)
→ 3xy
∴ Option d. 3xy is correct!
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Answer:
x = 14.3
Step-by-step explanation:
To find one of the sides, we can use the pythagorean theorem:
a² + b² = c²
a² = c² - b²
a = √c² -b²
a = √(20)² -( 14)²
a = 14.3
