Answer:
d. The average is equal to 12 ounces.
Step-by-step explanation:
In this problem, the drink filling machine must be perfectly calibrated at 12 ounces since it needs to be shut down in cases of overfilling (mean > 12 ounces) and underfilling (mean < 12 ounces). Therefore, the correct approach would be to test if the mean is 12 ounces and the correct set of hypothesis would be:
The correct alternative is d. The average is equal to 12 ounces.
Answer: 20 unit.
Step-by-step explanation:
Since, Here the vertices of the rhombus defg are d(1, 4), e(4, 0), f(1, –4), and g(–2, 0).
Where, de, ef, fg, gd are sides of the rhombus defg.
By the distance formula,
Thus, the side of rhombus = 5
By the property of rhombus,
de = ef = fg = gd = 5 unit.
Thus, the perimeter of the given rhombus defg = de + ef + fg + gd = 5+5+5+5 = 20 unit
Answer:
When Mary raises the probability that she has a better hand is 0.273
Step-by-step explanation:
In the poker game it is given that the probability that Mary has a better hand than John is 0.04.
Let the event that Mary has a better hand than John be A.
Let the event that that Mary raises the stakes be B.
It is also given that if Mary has a better hand than John then she would raise with a probability of 0.9
Therefore p(B | A) = 0.9
If Mary has a poorer hand she will raise with a probability of 0.1
Therefore p(B | A') = 0.1
Given that Mary raises the probability that she has a better hand is given by
p(A | B)
=
= 0.273
So when Mary raises the probability that she has a better hand is 0.273