A survey of students in a large introductory statistics
class asked about their birth order (1 oldest or only
child) and which college of the university they were
enrolled in to the right is a table showing the results.
Suppose a student is selected at random from this
class. Complete parts a through d below:

B is the answer if you look at the data the test gives you

Exchanging x and y and isolating y, it is found that the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

The function given is:

[tex]g(x) = y = \frac{1}{x - 1}[/tex]

To find the inverse function, we exchange x and y and isolate y, hence:

[tex]x = \frac{1}{y - 1}[/tex]

[tex]x(y - 1) = 1[/tex]

[tex]xy - x = 1[/tex]

[tex]xy = 1 + x[/tex]

[tex]y = \frac{1 + x}{x}[/tex]

Hence, the inverse function is:

[tex]g^{-1}(x) = \frac{1 + x}{x}[/tex]

You can learn more about inverse functions at https://brainly.com/question/16485117

Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

A standard die has 6 numbers, so the probability it will be greater than 4 is 6-4, or 2. Therefore the answer is [tex]\frac{2}{6}[/tex], but this can be simplified to [tex]\frac{1}{3}[/tex].

Answer:

1/-0.5x

Step-by-step explanation:

1/2 = 0.5

-0.5x = -1/2x

Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x

Hope that helps

Answer:

22.5

Step-by-step explanation:

You take the unit rate and multiple that by how many hours are going by. 4.5x5

The answer would be 6.

Answer:

160 is the answer I just toke the quiz

Answer:

$6.70

Step-by-step explanation:

Adrian purchases a book for 4.86 and a poster for 3.44

The total amount he owes would be 4.86 + 3.44 = $8.30

If she gives the cashier 15 dollars she should receive 15 - 8.30 = $6.70 back.

Answer:

3 m/s/s

Step-by-step explanation:

F = ma

28 = 4m

m = 7

m is constant throughout

21 = 7a

a = 3

3 m/s/s

Answer:

[tex]x \leqslant 1[/tex]

Step-by-step explanation:

first multiply both side by 2 to get rid of the fraction

[tex]3x + 5 \leqslant 4(2)[/tex]

[tex]3x + 5 \leqslant 8[/tex]

[tex]3x \leqslant 8 - 5[/tex]

[tex]3x \leqslant 3[/tex]

[tex]x \leqslant 1 [/tex]

Answer:

an = 60 x 1/5^n-1

Step-by-step explanation:

correct me if i am wrong, but I just learned about this stuff so hopefully this helps. The explicit rule/formula is an = a1 x r^n-1. In this formula, a1 is the first term (60), and r is the common ratio (1/5). Now all that is left to do is to write the equation which would be 60 x 1/5^n-1.

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

Read more about height functions at:

https://brainly.com/question/10837575

Answer:

0.5 in fraction form its 1/2.

Step-by-step explanation: hope this helps you <3.

1) 4 3/8 < 4 7/10

2) 3/10 > 25/100

3) 5/8 > 3/5

4) 8/12 = 6/9

hope this is helpful!

Answer:

24

Step-by-step explanation:

$2 divided by 4 equals 50 cents

50 cents per copy

$12 will get you 24 copies

Answer:

24 copies

Step-by-step explanation:

$2 ----- 4 copies

$1 ----- 4 ÷2= 2 copies

$12 ----- 2(12)= 24 copies

Alternatively, we can present our working this way:

For every $2, 4 copies can be made.

Number of sets of $2 in $12

= $12 ÷$2

= 6

Since there are 6 sets of $2 and each set of $2 can make 4 copies,

number of copies

= 6(4)

= 24 copies

Answer:

See below

Step-by-step explanation:

A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).

B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).

Answer:

5.8%

Step-by-step explanation:

to work out percentage increase:

(new value - original value) ÷ original value and times it all by 100

((31.75-30) ÷ 30) × 100

=5.8% (1dp)

Answer:

tha.nks for the p.oints buddy!

Answer:

Mai's ride is 1.5 times longer than Noah's

Step-by-step explanation:

The total amount of pennies Idrissa raised in this fundraiser is = 960 pennies

The total mass of all the pennies = 2,400g

But two (2) pennies = 5g

Therefore, to calculate the total amount of pennies Idrissa raised you cross multiply.

That is: 2 pennies = 5g

x pennies = 2,400g

Making x the subject of formula,

[tex] x = \frac{2 \times 2400}{5} [/tex]

[tex]x = \frac{4800}{5} [/tex]

[tex]x = 960[/tex]

Therefore the total amount of pennies Idrissa raised in this fundraiser is = 960 pennies.

Learn more here:

https://brainly.com/question/294036

Answer:

Step-by-step explanation:

The two sides opposite the angles marked as equal are themselves equal

4x + 8 = 48 - x                 Add x to both sides

4x + x + 8 = 48                Combine

5x + 8 = 48                      Subtract 8 from both sides.

5x + 8 - 8 = 48 - 8           Combine

5x = 40                            Divide by 5

5x/5 = 40/5

x = 8

Answer:

135

Step-by-step explanation:

bc its the right answer

Answer:

the answer is 138.57 so ur answer would be 135

Step-by-step explanation:

Answer:

-1 or 1.

Step-by-step explanation:i hope thats what your looking for.

Answer:

Step-by-step explanation:

1) It appears that coordinates of points on line P are (-6, 6) and (-2, 8). The slope formula tells us the slope of line P is ...

  m = (y2 -y1)/(x2 -x1) = (8 -6)/(-2 -(-6)) = 2/4 = 1/2

Coordinates on line O appear to be (0, 6) and (4, 8). Its slope is ...

  m = (8 -6)/(4 -0) = 2/4 = 1/2

The slopes of lines P and O are the same, so the lines are parallel.

__

2) It appears that points on line M are (0, 6) and (2, 2). Its slope is ...

  m = (2 -6)/(2 -0) = -4/2 = -2

Points on line K appear to be (0, 4) and (10, 10). Its slope is ...

  m = (10 -4)/(10 -0) = 6/10 = 3/5

If lines M and K were perpendicular, the product of their slopes would be -1. Here, it is (-2)(3/5) = -6/5 ≠ -1. Lines M and K are not perpendicular.

Step-by-step explanation:

3x + 10 < 3

3x + 7 < 0

3x < -7

x < -7/3 = -2.3333...

or

2x - 5 >= 5

2x >= 10

x >= 5

x < -7/3 or x >= 5

Answer:

3.8 is the answer to your problem. Happy Holidays!