Answer:
1. -1.25
2. 0.1056
Step-by-step explanation:
We are given that
mean=129
S.D=0.8
1.
The z-score can be found as
z=(x-mean)/S.D
z=(128-129)/0.8
z=-1/0.8
z=-1.25
Thus, a z-score corresponding to 128 fl. Oz. milk is -1.25.
2.
We have to find P(X<128).
A z-score is already found in part 1, So,
P(X<128)=P(Z<-1.25)
P(X<128)=P(-∞<Z<0)-P(0<Z<-1.25)
Using normal area table, we get P(0<Z<-1.25)=0.3944
P(X<128)=0.5-0.3944
P(X<128)=0.1056
Thus the probability that a randomly selected jug will contain less than 128 fl. Oz. of milk is 0.1056 or 10.56%
Answer:
Yes.
Step-by-step explanation:
Answer:
a. yˆ=38,000+2500x
d. yˆ=38,000−1500x
Step-by-step explanation:
The least squares regression line for the population change of a small country has the following format:
In which a is the initial population and b is the number of habitants for which the population increases/decreases a year.
Let's see each case
a. yˆ=38,000+2500x
The population starts at 38000 and increases by 2500 a year. This is a feasible assumption.
b. yˆ=38,000−3500x
The population starts at 38000 and increases by 3500 a year. By the year 2015, the population will be negative. This is not a feasible assumption.
c. yˆ=−38,000+2500x
The population cannot start at a negative value. So this is not a feasible assumption.
d. yˆ=38,000−1500x
The population starts at 38000 and decreases by 1500 a year. This is a feasible assumption.
Hey there!
The shape being described in letter A is a prism. A prism has two polygonal shapes on either end that can be any shape consisting of three or more sides. This won't be your answer, since cylinders have circular bases on either side.
The shape being described in letter B is a cylinder. Not sure why they needed to throw in the plane part, but this is the only answer that describes the bases as being circular (or, as they put it, discs).
The shape being described in letter C is a pyramid. If a shape has a polygonal base and meets at a point at the other end, it will be a pyramid. Obviously, a pyramid only has one end, meaning that this isn't your answer.
The shape being described in letter D is a cone. Again, if a shape has a base and meets at a point, it will be a pyramid. However, in the case of a cone, the base will be circular and the other side will meet at a point. The entire shape will be rounded where a pyramid would have edges. Again, not your answer.
Your answer will be B. Hope this helped you out! :-)
1...2...5...10 are the factors of 20 that go into 50.