Answer:
See below.
Step-by-step explanation:
Refer to the graph.
The range of a graph is the span of y-values it covers.
From the graph, we can see that the span of y-values is all values greater than or equal to 0.
Therefore, our range is, in interval notation:
Note that we use brackets with the 0 because 0 is included in our range.
In set notation, this is:
Answer: the cost of a milkshake is $2.59
Step-by-step explanation:
Let x represent the cost of a banana split.
Let y represent the cost of a milkshake.
At the ice cream shop, one banana split and five milkshakes cost $16.24. This is expressed as
x + 5y = 16.24- - - - - - - - - - - - -1
If three banana splits and two milkshakes cost $15.05. This is expressed as
3x + 2y = 15.05- - - - - - - - - - - - -2
Multiplying equation 1 by 3 and equation 2 by 1, it becomes
3x + 15y = 48.72
3x + 2y = 15.05
Subtracting, it becomes
13y = 33.67
y = 33.67/13
y = 2.59
Substituting y = 2.59 into equation 1, it becomes
x + 5 × 2.59 = 16.24
x + 12.95 = 16.24
x = 16.24 - 12.95
x = 3.29
The answer would be 0.01 because 1 is one and 0.1 is one tenth.
Answer:
Answer for the question:
The Rockwell hardness of a metal is determined by impressing a hardened point into the surface of the metal and then measuring the depth of penetration of the point. Suppose the Rockwell hardness of a particular alloy is normally distributed with mean 69 and standard deviation 2.7.
a. If a specimen is acceptable only if its hardness is between 67 and 75, what is the probability that a randomly chosen specimen has an acceptable hardness?
b. If the acceptable range of hardness is (69-C, 69+C), for what value of C would 95% of all specimens have acceptable hardness?
c. If the acceptable range is as in part (a) and the hardness of each of ten randomly selected specimens is independently determined, what is the expected number of acceptable specimens among the ten?
d. What is the probability that at most eight of ten independently selected specimens have a hardness of less than 72.84(HINT Y=number among the ten specimens with hardness less than72.84 is a binomial variable; what is p?)
is given in the attachment.
Step-by-step explanation:
