Rhianna took a total of 10 pages of notes during 2 hours of class. In all, how many hours will Rhianna have to spend in class before she will have a total of 15 pages of notes in her notebook? Assume the relationship is directly proportional.

Given:

The height of 44 students (in centimeter) are presented in the given frequency distribution.

To find:

The median of the given data.

Solution:

The given intervals are inclusive first make the intervals exclusive by adding 0.5 in upper limit and by subtracting 0.5 from the lower limit.

The complete frequency distribution table is shown below:

Height              Frequency           L                            <cf

182 - 188                  1                  181.5 - 188.5            44

175 - 181                   3                 174.5 - 181.5             43

168 - 174                  6                 167.5 - 174.5            40

161 - 167                 15               160.5 - 167.5            34   Median class

154 - 160                 12                153.5 - 160.5           19

147 - 153                   4                146.5 - 153.5             7

140 - 146                   3                139.5 - 146.5             3

We have, [tex]n=44[/tex].

[tex]\dfrac{n}{2}=\dfrac{44}{2}[/tex]

[tex]\dfrac{n}{2}=22[/tex]

The 22th term is include in the class 160.5 - 167.5 because is cf is greater than 22 but the cf of o preceding class is less than 22. So, it is the median class is 160.5 - 167.5.

Formula for median:

[tex]Median=l+\dfrac{\dfrac{n}{2}-cf}{f}\times h[/tex]

Where, l is the lower limit of median class, cf is the cumulative frequency of preceding class, f is the frequency of median class and h is the size of the class.

Now, [tex]l=160.5,f=15,cf=19,h=7[/tex].

[tex]Median=160.5+\dfrac{22-19}{15}\times 7[/tex]

[tex]Median=160.5+\dfrac{3}{15}\times 7[/tex]

[tex]Median=160.5+1.4[/tex]

[tex]Median=161.9[/tex]

Therefore, the median of the given data table is 161.9.

Answer:

$52

Step-by-step explanation:

first 2/3*156 and you get 104

Then you do 156 -104 and you will have your answer

Answer:

Max has $52 remaining

Step-by-step explanation:

[tex]\frac{2}{3}*\frac{156}{1} = \frac{312}{3} \\[/tex]

simplify [tex]\frac{312}{3}[/tex] by 3 to get [tex]\frac{104}{1}[/tex]

Answer:

Step-by-step explanation:

i dont know

Answer:

y = -1/2x+5

Step-by-step explanation:

South Street: y = 2x-4

Perpendicular slope to 2 is -1/2

Find any point on new street: (2,4)

4 = -1/2(2) + b

4= -1 + b

5 = b

Answer:

4,400 = 44 * 100

44 = 2 * 2 * 11

100 = 2 * 2 * 5 * 5

prime factors = 2 * 2 * 2 *2 * 5 * 5 * 11

Step-by-step explanation:

Answer:

Blue = 30

Green = 24

Red = 54

Orange = 12

Step-by-step explanation:

hahahshahhahahahahahauehfudbrog f ghg

São eles: (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41), (11, 60, 61), (12, 35, 37), (13, 84, 85), (16, 63, 65), (20, 21, 29)

Step-by-step explanation:

I need the graph. I'll answer if you send me the graph that is uses

Answer:

Funciones radicales

Step-by-step explanation:

Funciones radicales Esto significa que el dominio y el rango de y = √x son ambos [0, ∞). El punto de partida o vértice de la función padre también se encuentra en el origen. La función madre y = √x también aumenta en todo su dominio.

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

TO FIND :-

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Answer The answer is c.

Step-by-step explanation:

cause i said it was

Answer:

-1/3

Step-by-step explanation:

-6+3=-3

2 and -7 is 9

Answer:

the correct answer is B

Step-by-step explanation:

go it right!!!

Answer:

Step-by-step explanation:

So it 22

Answer: 0.007

Step-by-step explanation:

Answer: A, D

Step-by-step explanation:

For number 7 the answer is A

For number 8 since you are only moving it is the same size, therefore, producing a congruent image for all 3 of those translation. So for 8 the answer is d.

Answer:

Look Below

Step-by-step explanation:

1) The answer is A. It is A because if you want a reflected images across the Y-Axis, you want just the X value to change. Not the Y. So since the Y is positive and the X is positive, if you want a reflected image you want the X to be negative and the Y to be positive.

2) The answer is D. It is D because those are all forms that will produce a Congruent Image.

If you find any faults in my answer please let me know. Thanks! Have a Good Day!

Answer:

The correct answer is;

The replacement cone holds 4·π cubic inches more than the volume of the original cone  

Step-by-step explanation:

The given measurements of the cones are;

The radius of the original cone, r₁ = 3 inches

The height of the original cone, h₁ = 4 inches

The radius of the replacement cone, r₂ = 4 inches

The height of the replacement cone, h₂ = 3 inches

The volume of a cone, V = (1/3)·π·r²·h

The volume of the original cone, V₁ = (1/3)·π·r₁²·h₁

∴ V₁ = (1/3) × π × (3 in.)² × 4 in. ≈ 37.7 in.³

The volume of the replacement cone, V₂ = (1/3)·π·r₂²·h₂

∴ V₂ = (1/3) × π × (4 in.)² × 3 in. ≈ 50.27 in.³

The ratio of the volume of the two cones is given as follows;

Volume ratio = V₁/V₂

∴ Volume ratio = (1/3) × π × (3 in.)² × 4 in. /((1/3) × π × (4 in.)² × 3 in.) = 3/4

The difference in volume, ΔV = V₂ - V₁ = (1/3) × π × ((4 in.)² × 3 in. - (3 in.)² × 4 in. = 4·π in.³

Therefore, the volume of the replacement cone is 4·π in.³ more than the volume of the original cone.

Given:

A semicircle with radius 7 cm.

To find:

The circumference of the given semi circle.

Solution:

We know that,

Circumference of a semi circle = Half of circumference of the circle + Diameter

                                                    [tex]=\dfrac{1}{2}(2\pi r+d[/tex]

                                                    [tex]=\pi r+2r[/tex]

Putting [tex]\pi=\dfrac{22}{7},r=7[/tex], we get

Circumference of the semi circle [tex]=\dfrac{22}{7}(7)+2(7)[/tex]

                                                        [tex]=22+14[/tex]

                                                        [tex]=36[/tex]

Therefore, the circumference of the given semi circle 36 cm.

Answer:

3rd one

.

.

...................

Answer: 3:8

Step-by-step explanation:

Number of rainy days = 42

Number of sunny days = 112

To calculate the rainy day to sunny day ratio, we can first use the numbers given as fraction and divide to its lowest term. This will be:

= Number of rainy days / Number of sunny days

= 42 / 112

= 3/8

Therefore, the ratio of rainy days to sunny days will be 3:8

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

Answer:

s/2 is the equation

Step-by-step explanation:

Answer:

it's the 3rd option (eeeexxxxttteeennndddeeerrr)

Answer:

the correct answer is c i hoped this helped

Answer:

I'm not sure about my answer but I think it is y=0.85x

Step-by-step explanation:

0.85 is the rate and the rate = the cost of ounces of ice cream which is why 0.85 has an x to it

Answer:

4067

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

If you use a calculator, 3/4 x 60 = 45

It’s the number closet to 100-55

Answer:

360 tons

Step-by-step explanation:

Coke burned : cast iron = 15 : 16

The smelter produces 384 tons of cast iron a day

Let x = tons of coke burned

Coke burned : cast iron = x : 384

Equate both ratios

15 : 16 = x : 384

15/16 = x/384

Cross product

15 * 384 = 16 * x

5,760 = 16x

x = 5,760/16

x = 360

x = tons of coke burned = 360 tons