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2 answers:
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We are given the following inequality:
If we replace b = 2, we get:
Now we solve for "a" first by subtracting 8 on both sides:
Now we divide both sides by 6
Simplifying:
Therefore, for b = 2, the possible values of "a" are those that are greater than 1/3
Answer:
Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and respectively.
Step-by-step explanation:
Given that,
For the first 9 holes X:
E(X) = 80
SD(X)=13
For the second 9 holes Y:
E(Y) = 80
SD(Y)=13
For the sum W=X+Y, the following properties holds for means , variance and standard deviation :
E(W)=E(X)+E(Y)
and
V(W)=V(X)+V(Y)
⇒SD²(W)=SD²(X)+SD²(Y) [ Variance = (standard deviation)²]
∴E(W)=E(X)+E(Y) = 80 +80=160
and
∴
Therefore the mean and standard deviation of his total score if he plays a full 18 holes are 160 and respectively.
Answer:
1774.67π mm³
Step-by-step explanation:
Please find attached to this question, the required diagram.
From the question, we are told we have a spherical mold.
We would find the volume of a spherical mold using the formula for the volume of a sphere.
The volume of a sphere is calculated as : 4/3πr³
From the attached diagram, we are given the Diameter do the spherical mold as: 22mm
Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm
The volume of the spherical mold = 4/3 × π × 11³
= 1774.6666667π mm³
Approximately and leaving it in terms of pi (π)= 1774.67π mm³
