If it takes one person 4 hours to paint a room and another person 12 hours to
paint the same room, working together they could paint the room even quicker, it
turns out they would paint the room in 3 hours together. This can be reasoned by
the following logic, if the first person paints the room in 4 hours, she paints 14 of
the room each hour. If the second person takes 12 hours to paint the room, he
paints 1 of the room each hour. So together, each hour they paint 1 + 1 of the 12 4 12
room. Using a common denominator of 12 gives: 3 + 1 = 4 = 1. This means 12 12 12 3
each hour, working together they complete 13 of the room. If 13 is completed each hour, it follows that it will take 3 hours to complete the entire room.
This pattern is used to solve teamwork problems. If the first person does a job in A, a second person does a job in B, and together they can do a job in T (total). We can use the team work equation.
Teamwork Equation: A1 + B1 = T1
Often these problems will involve fractions. Rather than thinking of the first frac-
tion as A1 , it may be better to think of it as the reciprocal of A’s time.
World View Note: When the Egyptians, who were the first to work with frac- tions, wrote fractions, they were all unit fractions (numerator of one). They only used these type of fractions for about 2000 years! Some believe that this cumber- some style of using fractions was used for so long out of tradition, others believe the Egyptians had a way of thinking about and working with fractions that has been completely lost in history.
Easy
f(g(1))
evaluate g(1) then plug thatin for x in f(x)
g(1)=(x+2)/3
g(1)=(1+2)/3
g(1)=1
f(g(1))=
f(1)=(1)^2+3(1)+6
f(1)=1+3+6
f(1)=10
f(g(1))=10
Answers:
- Exactly 25%
- median = 450
- Not enough info (see below)
- IQR = 24
- IQR = 192
=========================================================
Explanations:
- By definition, the quartiles split the data into four equal parts. The first quartile (Q1) will have 25% of the data below it.
- The second quartile is the exact same value as the median. This is because the median splits the data into two equal halves, i.e. is at the midpoint.
- There's not enough info. We can determine that 25% of the company makes more than $60,000, but we don't know how many people total work at the company. This info is missing.
- Subtract the third and first quartiles (Q3 and Q1) to get the interquartile range (IQR). So IQR = Q3 - Q1 = 45-21 = 24
- Same idea as the previous problem. IQR = Q3 - Q1 = 316.5 - 124.5 = 192
Answer:
The appropriate response is "0.9476".
Step-by-step explanation:
The given values are:
Standard deviation,
Randomly selected railroad-car shipments,
n = 500
As we know,
⇒ 
On substituting the values, we get
⇒ 
then,
⇒ 
⇒ 
On using the table of P, we get
⇒ 
⇒ 
Answer:
Which questions are statistical questions?
what is the number of students what is the height of each in my class?
how many servings of fruit did eat each day this month?
what is my height?
what is the highest temprature
of each month this year?
how many students from each school in this city love football?
Step-by-step explanation:
Need to include numerical values
