Mikhail recorded the heights of all the male students in his math class. The results, in inches, are: 52, 55, 56, 60, 53, 51, 64, 67, 61, 58. Which type of graph would best display the heights in the 50 to 59 and the 60 to 69 inch range for comparison?
Solution: Stem and leaf plot would best display the heights in the 50 to 59 and the 60 to 69 inch range for comparison.
Stem-and-leaf plots are a method for showing the frequency with which certain classes of values occur. The stem and leaf plot is used like a histogram; it allows us to compare data. While a histogram uses bars to represent amounts, the leaves of the stem-plot represent amounts.
Answer:
See below
Step-by-step explanation:
Remember the notation and rules of quantifiers. ∀ is the universal quantifier and ∃ is the existential quantifier. To negate ∀x p(x) , write ∃x ¬p(x). To negate ∃x p(x) , write ∀x ¬p(x)
Part I:
A) None of life's problems have a simple solution.
B) All of life's problems have a simple solution.
C) Some of life's problems have a simple solution
D) All of life's problems have a simple solution (notice how the original statements in B and D mean exactly the same)
E) Some of life's problems do not have a simple solution.
Part II: Let x be a variable representing one of life's problems, y be a variable representing solutions, p(x):="x has a simple solution", and q(x,y):="y is a simple solution of x".
A) (∀x)(¬p(x)) or ¬(∃x)(p(x))
B) (∀x)(∃y)(q(x,y))
C) (∃y)(∀x)(q(x,y)). Note that the order of quantifiers is important. B) and C) have different meanings. In C) there is an universal solution of all problems, in B) each problem has its solution.
D) (∀x)(p(x))
E) Same as C)
4 x 0.15 = 0.6 and 0.6 is between 0.05 and 0.75
Answer:
Addition Property of Equality to add 18 to both sides.
Step-by-step explanation:
Remember that with the properties of equality the goal is to perform the inverse operation.
Please re-explain? I don’t understand.?
