To determine how American college students feel about commuting, 100 students at a private

the university was chosen by selecting 50 men and 50 women to participate. They were asked

how far they commute each day (in minutes) to campus.

a. Is this an observational study or experiment?

b. What is the sample?

c. What is the target population?

d. What is the sampling method? (Simple random, stratified, convenient, …)

e. Is the data collected qualitative or quantitative?

f. Why is it unlikely that the results of this study will be valid?

Answer:

[tex]1 ~\text{kg}= 100000~ \text{centigram}.[/tex]

Step-by-step explanation:

[tex]1 ~ \text{kg}\\\\=1000~ \text{g}\\\\=1000 \times 100~ \text{cg}\\\\=100000~ \text{cg}.[/tex]

The correct answer is option D. Which is the even function is f (x) = x⁴.

The function in which when the sign of the input variable is changed the output remains the same is called the even function. Mathematically we can write it as f(x) = f(-x ).

let us check the given four options:-

A f(x) = √x ;  f(-x) = √-x  here f(x) ≠ f(-x)

B f(x) = x ;  f(-x) = -x    here f(x) ≠ f(-x)

C f(x)  = x³ + 1 ; f(-x) = -x³ + 1  here f(x) ≠ f(-x)

D f(x)  = x⁴  ;  f(-x) = (-x)⁴ = x⁴  here f(x) = f(-x)

We can see that in the option D the f(x) = x⁴ is an even function because f(x) = f(-x).

Therefore the correct answer is option D. Which is the even function is f (x) = x⁴.

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The graph of the dilated absolute value function can be seen below.

We know that h(x) = (1/4)*f(x), where f(x) is the parent absolute value function.

Then we have a vertical dilation of scale factor k = 1/4. Then the graph of h(x) wil be four times wider than the parent absolute value function.

The graph of h(x) is the one you can see below. Where there is also the graph of f(x) so you can compare them.

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Answer:

M3 = 105°

angles on a straight line add up to 180°

M3 = 180 - 75

= 105°

Answer:

40

Step-by-step explanation:

Lets put the 3/4 at the beginning and expand this bracket :

3/4(x-4) = 27

3/4x - 3 = 27

Now we add 3 to both sides :

3/4x = 30

Now we times both sides by 4 :

3x = 120

Now we divide both sides by 3:

x = 40

Hope this helped and brainliest please

Answer:

Step-by-step explanation:

b = 8/2 *4

b = 16

By solving a linear equation, we will see that the total cost for renting the bus is $90.

Let's say that the total cost is C.

When there are 20 students, each student should pay:

p = C/20

When the other 10 students are added (for a total of 30) each student pays:

p' = C/30.

We know that the cost for each of the original 20 students decreased by $1.50, so:

p' = p - $1.50

Then we have 3 equations to work with:

p = C/20

p' = C/30.

p' = p - $1.50

Now we can replace the first and second equations into the third one:

C/30 = C/20 - $1.50

Now we can solve this linear equation for C:

C/20 - C/30 = $1.50

C*( 1/20 - 1/30) = $1.50

C*(30/600 - 20/600) = $1.50

C*(10/600) = $1.50

C*(1/60) = $1.50

C = 60*$1.50 = $90

So the total cost for renting the bus is $90.

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The common ratio of the geometric sequence is -1/2

The geometric sequence is given as: -96, 48, -24, 12, -6, ...

The common ratio is calculated using:

r = T2/T1

From the sequence, we have:

T2 = 48

T1 = -96

This means that

r = 48/-96

Evaluate the quotient

r = -1/2

Hence, the common ratio of the geometric sequence is -1/2

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sin 30 = x/4

sin 30 = 0.5

0.5 = x/4

x = 2

Answer:

(5 • x) - 9 = 2x + 23

The correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

The difference between the mean times is about 16 times the mean absolute deviation of the data set.

127.9-127.4=0.5

0.26-0.23=0.03

0.5/0.03=16.6666

We can see that the ratio of the mean times difference is 16 times the mean deviation by solving the above.

Therefore the correct answer is option D which is the difference between the mean times is about 16 times the mean absolute deviation of the data sets.

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Answer: D

Step-by-step explanation:

Answer:

Its 43.2

I hope this helps ^^

Answer:

43.2

Step-by-step explanation:

kilometers, hectometers, decameters, meters, decimeters, centimeters, millimeters

To go right once multiply be ten

To go left once divide by ten

4.32 • 10 = 43.2

Answer:

Answer: {b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}

Step-by-step explanation:

A' = U-A

={b,d,e,f,g,h,i,l,m,n,q,r,s,u,v,w,x,y,z}

In the given diagram, the length of the side marked x is 21.34

From the question, we are to determine the value of the side marked x

In the given diagram,

Hypotenuse = x

Adjacent = 15

Included angle = 49°

Using SOH CAH TOA

We can write that,

cos 49° = 14 / x

∴ x = 14 / cos 49°

x = 21.34

Hence, the length of the side marked x is 21.34.

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Answer:

1) 0.25%

Step-by-step explanation:

Ratio= weight in g/ volume in ml

1. percent strength = 12.5× 10-³g /5ml × 100%

=0.25%

Answer:

0.25%

Step-by-step explanation: Convert mg to g (1g = 1000mg)

12.5mg/1000mg = 0.0125g/5ml ( 0.0025) x 100 = 0.25%

Answer:

y = 10x + 12
y + (-12) = (10x + 12) + (-12)
y - 12 = 10x + 12 -12
x = [tex]\frac{y-12}{10}[/tex]

Answer:[tex]x^{2}+\frac{11x}{5}-\frac{12}{5}[/tex]

Step-by-step explanation:

The roots are really just what x is when the equation is equal to zero. So, an equation with these roots would look like this:

(x+3)(x-4/5)=y

however, this is not standard form. To get standard form we will need to expand the equation using FOIL.

x^2+3x-4x/5-12/5=

x^2+11x/5-12/5

and that would be your answer.

This stuff is a bit tricky and it get annoying with those pesky fractions. If you have any questions just comment.

Answer:

the answer is going to be 13

Answer:

13

Step-by-step explanation:

Follow PEMDAS

13-3-2-1+6

13-3=10

10-2-1+6=

10-2=8

8-1+6

8-1=7

7 + 6=13

Answer: if you multiply decimals , the estimate value is necessary !

it could be understood easily, if at any place the number exceeds 4 , then the value in front is raised by one !

as;

2.234 = 2.23 , it will remain same but,

2.235 = 2.24 the 3 raised to 5 !!

Step-by-step explanation:

Answer:

A. Three

explanation :

In Spherical Geometry, a triangle can have three right angles!

Answer:

p = 3 dollars    d = 4 dollars

Step-by-step explanation:

2 p + 1 d  = 10     given

4 p + 1 d  = 16     given       Subtract second equation from first to get:

-2p = - 6

p = 3 dollars        then use this value in either of the equations to find  'd'

2(3)   + d = 10

d = 4

Answer + Step-by-step explanation:

x² + 4x + 29 = 0

⇔ [x² + 4x] + 29 = 0

⇔ [x² + 4x + 4 - 4] + 29 = 0  (just add and subtract 4)

⇔ [x² + 4x + 4] - 4 + 29 = 0

⇔ (x + 2)² - 4 + 29 = 0   (Replace x² + 4x + 4 by (x + 2)²)

⇔ (x + 2)² + 25 = 0

⇔ (x + 2)² = -25  impossible because (x + 2)² > 0 and  -25 < 0

Then there is no solution to the quadratic.

Answer:

175 ft^2

Step-by-step explanation:

split the pentagon into 5 triangles with base length 10ft and height 7ft. each triangle then has an area of 10 * 7 * 1/2 = 35 ft^2

then the pentagon has an area 35*5 = 175 ft^2

Answer:

5L/2 < 100

Step-by-step explanation:

Let's get started!

Let :

⇒ Length = L

⇒ Width = L/4

It mentions the perimeter must be less than 100 inches.

Perimeter Formula :

Perimeter (Rectangle) = 2(Length + Width)

Then, the inequality formed will be :

⇒ 2 (L + L/4) < 100

⇒ 2 (5L/4) < 100

⇒ 10L/4 < 100

⇒ 5L/2 < 100

Length be L

width be L/4

Now

Perimeter=2(Length+Breadth)

Answer:

Step-by-step explanation:

Calculate the volume of the figure below

2*2*6 + (6-2)*2*2 =

24+4*2*2=

24+16=

40cm³

Answer:

=4m^2−11m+6

Step-by-step explanation:

Given algebraic expression:

(m-2)(m•2+2m-3)

To:

Simplify

Solution:

(m−2)(m(2)+2m−3)

=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)

=2m^2+2m^2−3m−4m−4m+6

=4m^2−11m+6