Answer:
v = 120
Step-by-step explanation:
If v is inversely proportional to square root of d, then we can write
= k
If v = 30 and d = 400, then
30() = k
k = 30(20) = 600
Now = 600
If d = 25, then v = 600
5v = 600
v = 120
The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W=7+2X . What are the mean and s
2 answers:
Answer:
The mean and standard devaition of W are 6 and 31 respectively.
Step-by-step explanation:
Given that:
W = 7 + 2X
Variance (W) = Variance(7 + 2X)
For a term constant term, the variance is zero.
So;
W = 4 × Var(X)
W = 4 × (SD (X))²
W = 4 × (3)²
W = 4 × 9
W = 36
Thus, Variance (W) = 36
The standard deviation of W =
W =
W = 6
Also;
E(W) = E(7 +2 X)
E(W) = 7 + 2 × E(X)
where;
mean X = 12
E(W) = 7 + 2(12)
E(W) = 31
Thus, the mean and standard devaition of W are 6 and 31 respectively.
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ANSWER
statements accurately describe the triangles
The triangles could not be similar.
The ratios of the side lengths are not consistent.
Reason
As shown in the diagram the sides of the triangle are given
Similarity property on the sides length of the triangle
The corresponding sides of the two triangles are proportional the triangles must be similar.
= 2.25
=2.5
=2.5
Thus by above we get
The ratios of the side lengths are not consistent.
thus triangles could not be similar.
Hence proved