The scores for a 25 - point quiz are listed below arranged from least to greatest. 7, 7, 12, 13, 15, 16, 16, 16, 18, 19, 20, 20, 20, 21, 21, 22, 23, 23, 24

Using the following guidelines , create a histogram for the class.

a. Determine the range of the sample
b. Determine the number of intervals by: Finding the square root of n. Round to the next higher whole number.
c. Determine the interval width: Width = Range/# Intervals. Round to the next higher whole number.
d. Create the categories.
e. Plot the data

Answer: 65

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Answer:

El conjunto finito de pares ordenados son;

(1, 1), (1, 1/9), (1, 1/49), (1, 1/121), (1, 1/169)

Step-by-step explanation:

si f (X) = 1 / X2, determine el conjunto finito de pares ordenados para X = {1,3,7,11,13}

Dado que f (X) = 1 / X²

Para X = {1, 3, 7, 11, 13}

Tenemos;

f (X) = 1 / X²

f (1) = 1 / 1² = 1, Por lo tanto, tenemos el primer par ordenado, (1, 1)

f (3) = 1 / 3² = 1/9, por lo tanto, tenemos el segundo par ordenado (1, 1/9) ≈ (1. 0.11)

f (7) = 1 / 7² = 1/49, por lo tanto, tenemos el tercer par ordenado (1, 1/49) ≈ (1. 0.02)

f (11) = 1 / 11² = 1/121, por lo tanto, tenemos el cuarto par ordenado (1, 1/121) ≈ (1. 0083)

f (13) = 1 / 13² = 1/169, por lo tanto, tenemos el quinto par ordenado (1, 1/169) ≈ (1. 0.006)

Answer:

a=3; (3,5) and (4,0) for the graph  

Step-by-step explanation:

ax-y=4

x=3, y=5 so...

a(3)-5=4

3a-5=4

+5 +5

3a=9

/3 .  /3

a=3

For the graph, use (3,5) and substitute x and y for anything:

ax-y=4

if x=0...

a(0)-y=4

-y=4

y=4

a=3; (3,5) and (4,0) for the graph!

Answer:

45%

Step-by-step explanation:

Answer:

720

Step-by-step explanation:

24500 (total) subtracted by (10,700 + 5000 + 1600) =7200. 7200 divide by 10 mo=720

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Given the following information from the question

The total cost of fee =  $23,500

Amount got as help;

An academic scholarship of $8,200.

Other scholarships and grants of $7.400.

Grandparents pay $1,000

Amunt she had = 8200 + 7400 + 1000
Amount she had = $16600

Amount remaining = 23500 - 16600

Amount remaining = $6900

If the student will need to save every month in order to pay off the remaining costs in 10 months, the amount she will need to save per month is $690

Learn more on the amount here:
https://brainly.com/question/25109150

Answer:

11

Step-by-step explanation:

Answer:

4) 91.75

Step-by-step explanation:

7x+20+9x-4=180

16x=164

x=10.25

7(10.25)+20=

71.75+20=91.75

Answer:

You are correct 91.75 is the answer

Step-by-step explanation:

This is a cyclic quadralterial since all the. vertices of the quadralterials touch the circle circumference. Opposite angles are supplementary in cyclic quadralterials. Angle C and Angle D are opposite angles so

[tex]7x + 20 + 9x - 4 = 180[/tex]

[tex]16x + 16 = 180[/tex]

[tex]16x = 164[/tex]

[tex]x = 10 \frac{4}{16} [/tex]

[tex]x = 10.25[/tex]

Plug 10.25 into 7x+20

[tex]7(10.25) + 20 = 91.75[/tex]

You are correct

Answer:

81989970383

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the slope of the tangent at a point we will find the derivative of equation at that point.

a). y = x² - 10x

[tex]\frac{dy}{dx}=\frac{d}{dx}(x^{2} -10x)[/tex]

y' = 2x - 10

At (x = 2),

y' = 2(2) - 10

y' = 4 - 10

y' = -6

From the given equation,

y = 2² - 10

y = -6

Therefore, y-coordinate of the point is y = -6

Equation of the tangent at (2, -6) having slope = -6

y - 2 = -6(x - 2)  

y - 2 = -6x + 12

y = -6x + 14

b). y = [tex]x^{2}+\frac{2}{x}[/tex]

At x = [tex]\frac{1}{2}[/tex]

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

y = [tex]\frac{1}{4}+4[/tex]

y = [tex]\frac{17}{4}[/tex]

Now we have to find the equation of a tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex]

y' = 2x - [tex]\frac{2}{x^{2} }[/tex]

At x = [tex]\frac{1}{2}[/tex]

y' = [tex]2(\frac{1}{2})-\frac{2}{(\frac{1}{2})^2}[/tex]

y' = 1 - 8

y' = -7

Therefore, equation of the tangent at [tex](\frac{1}{2},\frac{17}{4})[/tex] will be,

[tex]y-\frac{17}{4}=-7(x-\frac{1}{2})[/tex]

y = -7x + [tex]\frac{7}{2}+\frac{17}{4}[/tex]

y = -7x + [tex]\frac{31}{4}[/tex]

Answer:

The length of the ramp must be at least 14.71 feet

Step-by-step explanation:

Given

[tex]BC = 2.3ft[/tex]

[tex]\theta = 9^\circ[/tex]

See attachment for complete figure

Required

Length of the ramp (z)

To do this, we consider sin of angle A ([tex]\theta[/tex]).

So, we have:

[tex]sin\theta = \frac{Opposite}{Hypotenuse}[/tex]

This gives:

[tex]sin(9)= \frac{2.3}{z}[/tex]

Make z the subject

[tex]z= \frac{2.3}{sin(9)}[/tex]

[tex]z = \frac{2.3}{0.1564}[/tex]

[tex]z = 14.71 ft[/tex]

The length of the ramp must be at least 14.71 feet

Answer:

.si sey el senocar 18

Step-by-step explanation:.basflone ne ombla

Answer:

Step-by-step explanation:

224 sq in.

Answer:

24

Step-by-step explanation:

Answer:

Angle C =  45°

Step-by-step explanation:

Hello There!

If you didn't know opposite angles are congruent in parallelograms

So ∠A≅∠C and ∠B≅∠D

So if ∠A = 45° then ∠C also equals 45°

As it is a parallelogram

[tex]\\ \sf\longmapsto <B\cong <D[/tex]

[tex]\\ \sf\longmapsto <A\cong <C[/tex]

[tex]\\ \sf\longmapsto <C=<A=45°[/tex]

Complete question is;

A farmer is building a fence to enclose a rectangular area against an existing wall. Three of the sides will require fencing and the fourth wall already exists. If the farmer has 144 feet of fencing, what is the largest area the farmer can enclose?

Answer:

A_largest = 2592 ft²

Step-by-step explanation:

Let the width which is going to be perpendicular to the already existing fourth wall be denoted by y. Since there will be 2, it means total width = 2y.

Since the farmer has 144 ft of fencing and the total width is 2y,it means that the length of the fence will be expressed as;

Length = 144 - 2y

Area of rectangular fencing is;

A = y(144 - 2y)

A = 144y - 2y²

To find the largest area, we will find the first derivative and the equate to 0 after which we plug the value of y back into the area equation to get it.

dA/dy = 144 - 4y

At dA/dy = 0;

144 - 4y = 0

y = 144/4

y = 36 ft

Thus, largest area is;

A_largest = 144(36) - 2(36)²

A_largest = 2592 ft²

    The largest area the farmer can enclose with the fence with him will be 2592 square feet.

      Let the length of the field = [tex]x[/tex] feet

      And the width of the field = [tex]y[/tex] feet

Therefore, area of the rectangular field = Length × Width

                                                              A = [tex]x\times y[/tex] square feet

Since, length of the fence = 144 feet

And the farmer has to enclose three sides of the rectangle as shown in the figure attached.

Therefore, length of the fence = length + 2(width)

                                                   = [tex](x+2y)[/tex] feet

Hence, [tex](x+2y)=144[/tex]

[tex]x=144-2y[/tex]

By substituting the value of 'x' in the expression for the area of the rectangular field.

[tex]A=(144-2y)y[/tex]

[tex]A=-2y^2+144y[/tex]

Find the derivative of the expression with respect to [tex]y[/tex],

[tex]A'=-4y+144[/tex]

Now equate it to zero to get the value of y,

[tex]A'=-4y+144=0[/tex]

[tex]y=36[/tex]

Now substitute the value of 'y' in the expression of area to get the maximum area enclosed.

[tex]A=-2(36)^2+144(36)[/tex]

   [tex]=-2592+5184[/tex]

   [tex]=2592[/tex] square feet

   Therefore, maximum area the farmer can enclose with the 144 feet of fencing will be 2592 square feet.

Learn more,

https://brainly.com/question/16880549

From the given expression in our example we have say

y = d-6d-3dd−6d−3d,

the equivalent expression would be  y = -14-3dd

We can see two different terms

the "d" terms and the "dd" terms

Let us collect like terms

we have

y= d-6d-6d-3d-3dd

y = d-12d-3d-3dd

y= d-15d-3dd

y = -14-3dd

Hence the equivalent expression is y = -14-3dd

Learn more amount collecting like terms in algebraic expression https://brainly.com/question/11172004

Answer:

-8d

guessed and it was right :P

Answer:

No.

Step-by-step explanation:

Triangle DFE justifies itself with the SAS (side-angle-side) postulate, while Triangle ABC simply shows that ∡B & A are similar. They are not justified by the same standard, and so there is no way to tell if these triangles are similar.

Ok let's do this.

First we will cut of the triangle that is marked with red dotted line and pop it on the other side. Then you get a rectangle!! All you have to do now is multiply 21.5*20=410. HAPPY TO HELP!

Answer:

430

Step-by-step explanation:

Area = (base)(height)

A = (20)(21.5)

(20)(21.5) = 430

A = 430

Answer:

Este acontecimento se repetirá 300 dias depois.

Step-by-step explanation:

Quando os eventos se repetirão no mesmo dia?

Cada evento tem uma frequência.

Eles ocorrem simultaneamente a cada x dias, e x é dado pelo MMC(Mínimo Múltiplico Comum) entre as frequência.

Neste problema:

A cada 15 dias o avô visita.

A cada 100 dias o tio visita.

A cada 12 dias vai à praia.

Quantos dias depois este acontecimento se repetirá?​

Os três no mesmo dia vão se repetir após x dias, em que x é dado pelo MMC de 15, 100 e 12

MMC de 15, 100 e 12

Fatorando simultâneamente estes valores:

15 - 100 - 12|2

15 - 50 - 6|2

15 - 25 - 3|3

5 - 25 - 1|5

1 - 5 - 1|5

1 - 1 - 1

Então:

mmc(15,100,12) = 2*2*3*5*5 = 300

Este acontecimento se repetirá 300 dias depois.

Answer and Step-by-step explanation:

When it says (f + g)(x), it means that it wants you to add the functions together.

So, let's add them.

[tex](2x^2 + 6x - 4) + (5x^3 -6x^2-3)\\\\\\5x^3 - 4x^2 + 6x - 7\\\\\\\\\\\\\\5x^3 - 4x^2 + 6x - 7[/tex]is the answer. (Answer choice B.)

#teamtrees #PAW (Plant And Water)

well if she payed 40% and an average baseball glove costs $120 – $300

and a bat costs $75-$185. that would mean she spent around $197 or $485

which would mean

40% out of 197 is 78.8

and 291

i believe is the correct answer

Answer:

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.

Step-by-step explanation:

Probabilidades Independientes:

Quanto las probabilidades de dos eventos son independientes, la probabilidad de los dos ocurrir simultáneamente es la multiplicacion de las dos probabilidades.

La probabilidad de que un caballo viva 20 años es dos tercios

Entonces [tex]P(C) = \frac{2}{3}[/tex]

La de una vaca viva 20 años es

Incomplete, entonces dire que es [tex]P(V) = \frac{a}{b}[/tex]

Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años​

[tex]P(C \cap V) = P(C) \times P(V) = \frac{2}{3}*\frac{a}{b} = \frac{2a}{3b}[/tex]

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2a}{3b}[/tex], en que [tex]\frac{a}{b}[/tex] es la probabilidad de que una vaca viva 20 años.

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].

Sean [tex]A[/tex] y [tex]B[/tex] dos eventos independientes aunque no mutuamente excluyentes, es decir, que la esperanza de vida del caballo ([tex]A[/tex]) no dependa de la esperanza de vida de la vaca ([tex]B[/tex]) y viceversa y que pueden ocurrir al mismo tiempo.

En este caso, la probabilidad de que tanto el caballo como la vaca vivan 20 años equivale a una operación de intersección que se manifiesta en la siguiente ecuación:

[tex]P(A \cap B) = P(A)\cdot P(B)[/tex] (1)

Si sabemos que [tex]P(A) = \frac{2}{3}[/tex] y [tex]P(B) = \frac{3}{5}[/tex], entonces la probabilidad de que tanto caballo como la vaca vivan 20 años es:

[tex]P(A\cap B) = \frac{2}{3}\times \frac{3}{5}[/tex]

[tex]P(A\cap B) = \frac{2}{5}[/tex]

La probabilidad de que tanto el caballo como la vaca vivan 20 años es [tex]\frac{2}{5}[/tex].

Invitamos cordialmente a ver esta pregunta sobre probablidades: https://brainly.com/question/24290732

Nota - El enunciado original presenta omisiones y errores tipográficos, la forma completa se presenta a continuación:

La probabilidad de que un caballo viva 20 años es de dos tercios y la de que una vaca viva 20 años es de tres quintos. ¿Cuál es la probabilidad de que tanto el caballo como la vaca vivan 20 años?

9514 1404 393

Answer:

  nonagon

Step-by-step explanation:

The adjacent exterior angle is 180° -140° = 40°. There are 360°/40° = 9 of those angles around the regular polygon, so it is 9-sided.

The polygon is a nonagon.

Answer:

 nonagon

Step-by-step explanation:

i got 100%

Answer:

B is the answer

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

each of the side lengths are multiplied by 2.5

Answer:

true

Step-by-step explanation:

Answer:

B) they are supplementary

(supplementary angles add up to a80 degrees)

Step-by-step explanation:

Answer:

4/5+7

or

   4

_____

 h+7