Students from two age groups were surveyed to see how they travel to school. Here are the results:Below age 15—Walk or bike: 87; Bus: 60; Car: 18
Age 15 and above—Walk or bike: 65; Bus: 50; Car: 80

Which of the following is a correct two-way relative frequency table for the data?

Answers

Answer 1
Answer:

Options:

A. Method of Travel to School

Walk/Bike Bus Car Row totals

Below age 15 87 60 18 165

Age 15 and above 65 50 80 195

Column totals 152 110 98 360

B. Method of Travel to School

Walk/Bike Bus Car Row totals

Below age 15 0.24 0.17 0.05 0.46

Age 15 and above 0.18 0.14 0.22 0.54

Column totals 0.42 0.31 0.27 1

C. Method of Travel to School

Walk/Bike Bus Car Row totals

Below age 15 0.52 0.36 0.11 1

Age 15 and above 0.33 0.26 0.41 1

Column totals 0.42 0.31 0.27 1

D. Method of Travel to School

Walk/Bike Bus Car Row totals

Below age 15 0.57 0.55 0.18 0.46

Age 15 and above 0.43 0.45 0.82 0.54

Column totals 1 1 1 1

The answer is option B as you can see this two way frequency table has the same data as in the question.

Hope this helps!

Answer 2
Answer:

Answer:

The table representing the number of students by which mode of transport they travel is given as:

                              Walk or bike    Bus       Car     Row Total

Below age 15            87                    60        18           165

Age 15 and above   65                    50        80         195

Column Total            152                  110        98         360

We know that a relative frequency of an event is the ratio of frequency to the total number of trials.

i..e we divide each frequencies by 360 to obtain a two-way relative frequency.

Hence,the table is given as:

                              Walk or bike    Bus       Car     Row Total

Below age 15            0.24               0.17      0.05         0.46

Age 15 and above    0.18                0.14      0.22        0.54

Column Total             0.42               0.31     0.27          1                        


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Solve the proportion t/16 = 40/50

Answers

The required simplified value of the t in the given proportion is given as t = 48.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given the expression of proportion,
t/16 = 40 / 50
t / 60 = 4 / 5

Multiply both sides by 60,
t / 60 × 60 = 4 / 5 × 60
t = 4 × 12
t = 48

Thus, the required simplified value of the t in the given proportion is given as t = 48.

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Cross multiply and you get 
50t = 40 x 16
50t = 640
t = 640/50
t = 12.8

These are the completed prime factor trees for 30 and 42. A) What two prime numbers are in both trees? B) Write down the hcf of 30 and 42 as the product of its prime factors C) Hence, work out the HCF of 30 and 42

Answers

Answer:

A) 2 and 3

B) 30 = 2 × 3 × 5

42 = 2 × 3 × 7

C) GCF of 30 and 42 = 2 × 3 = 6

Dimetri says that a function that is made of terms where the variable is raised only to an odd power will be an odd function. Do you agree with Dimetri? Explain why or why not.

Answers

No, I do not.

Explanation:
Algebraically, an odd function is one where f(-x) = -f(x). This means that if we substitute -x for every x in the function, it should be the same as switching every sign in the function. This does not always work.

For example, if f(x)=x
³+7:
f(-x)=(-x)
³+7=-x³+7.

However, since the 7 did not become -7, it is not the same as -f(x), so it is not an odd function.

Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

As we know,

For even function: f(-x) = f(x)

For odd function: f(-x) = -f(x)

If Dimetri says that, a function that is made of terms where the variable is raised only to an odd power will be an odd function.

The Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

Thus, Dimetri statement is incorrect, as the function is odd if its greatest degree is odd when the lower terms are ignored.

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Jack is running for city mayor. He stops the first 10 people on the street and asks them what their biggest concern for the city is. Six of the people say higher taxes are their biggest concern. Jack concludes that most people in the town think higher taxes are the biggest concern. Jack's conclusion is A) valid. Jack asked enough people.
B) invalid. Jack did not ask enough people.
C) incorrect. Six of ten people is not a majority.
D) bias. Jack does not want to raise taxes and is looking for support

Answers

Jack's conclusion is B. INVALID. JACK DID NOT ASK ENOUGH PEOPLE.

A city has a population of millions and 10 people is not even a relevant sample of the population. Thus, the conclusion he has drawn based from his interview is insufficient.

Answer:

It is B

Step-by-step explanation:

did on usa testprep and got it right

Question 5Two similar triangles are shown in the diagram below, where
AABC - ADEF.
Based on the dimensions in the diagram, what is the
perimeter of AABC?
A-9 in.
B-10 in.
C-9.5 in.
D-10.5 in.

Answers

Answer:

Perimeter of ΔABC is 9.5 in.

Step-by-step explanation:

Given:

ΔABC \sim ΔDEF

DE = 6 in.

EF = 5.25 in.

DF = 3 in.

AB = 4 in.

We need to find the Perimeter of ΔABC.

Solution:

First we will find the sides of ΔABC.

Now By Triangle similarity property which states that:

"When two triangles are similar the the ratio of their corresponding sides are equal."

From Above property we can say that;

(AB)/(DE) =(BC)/(EF)=(AC)/(DF)\n\n(4)/(6)=(BC)/(5.25)=(AC)/(3)

Now we will find BC and AC

(4)/(6)=(BC)/(5.25)\n\nBC = (4*5.25)/(6)= 3.5 \ in

Also;

(4)/(6)=(AC)/(3)\n\nAC = (4*3)/(6) = 2 \ in

Now In ΔABC

AB = 4 in

BC = 3.5 in

AC =2 in.

Now Perimeter of ΔABC can be calculated as sum of all sides.

Perimeter of ΔABC =  AB +BC +AC = 4 + 3.5 + 2 = 9.5 in

Hence Perimeter of ΔABC is 9.5 in.

John o'sullivan coined the phrase ____ to describe america's right to expand to the pacific ocean

Answers

 the awnser is Manifest  destiny