Answer: b. 0.98
Step-by-step explanation:
The formula to find the maximum error of the estimated mean :
(1)
, where 
= standard deviation
n= Sample size
z* = Critical z-value.
As per given , we have
n=100
Critical value for 95% confidence interval = z*=1.96
Put these values in the formula (1), we get
Hence, the maximum error of the estimated mean quality for a 95% level of confidence is 0.98.
Therefore , the correct answer is b. 0.98 .
A linear pair means that the sum of the angles is 180
degrees.
Therefore:
a + b = 180°
We know that:
a = b + 26°
Therefore:
b + 26 + b = 180
2b = 154
b = 77°
So,
a = b + 26 = 103<span>°</span>
Answer:
d>67
Step-by-step explanation:
Let's solve your inequality step-by-step.
−50−(−9d+7)>−d+10+9d
Step 1: Simplify both sides of the inequality.
9d−57>8d+10
Step 2: Subtract 8d from both sides.
9d−57−8d>8d+10−8d
d−57>10
Step 3: Add 57 to both sides.
d−57+57>10+57
d>67
Answer:b
Step-by-step explanation:
Given:
Volume of the cone = π r² h/3
radius of the cone is half the radius of the cylinder ⇒ r/2
height of the cone is equal to the radius of the cylinder. ⇒ r
V = 3.14 * (r/2)² * r/3
V = 3.14 * r²/4 * r/3
V = 3.14r³ / 12
