In a class of 22 students, 7 are female and 17 have an A in the class. There are 3 students who are male and do not have an A in the class. What is the probability that a student who has an Ais a male?​

When a pair of parallel lines is intersected by a transversal, then

Interior opposite angles are equal.

So, (3x + 4)° = 115°

=> 3x + 4 = 115

=> 3x = 115 - 4

=> 3x = 111

=> x = 111/3

=> x = 37

Answer:

37

Step-by-step explanation:

So, if you got two parallel line, which are crossed by another line, the conterminal angles are gonna be as big as each other.

what we get outta this explanation is

3X+4=115===> 3X=111===> X=37

Answer:

Hence, the answer is 2/11.

Step-by-step explanation:

Let's begin by setting x equal to our repeating fraction. x= 0.18181818.

As a reduced (simplified) positive proper fraction 9/50 As a percentage 18%.

Answer:

Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.

Step-by-step explanation:

Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:

Nacimiento: 23/09/63 AC

Primer año: 23/09/62 AC

Tercer año: 23/09/60 AC

Sesenta y dos años: 23/09/01 AC

Sesenta y tres años: 23/09/01 DC

Setenta y tres años: 23/09/11 DC

Setenta y cinco años: 23/09/13 DC

Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.

Answer:

626

Step-by-step explanation:

So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger

Answer:

x = 6[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Here we need to use the Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2

STEP 1: Define your variables

The legs of the triangle are a and b, and the hypotenuse is c.

a = x

b = 4

c = 14

STEP 2: Plug your variables into the equation and solve

x^2 + 4^2 = 14^2

x^2 + 16 = 196

x^2 + 16 - 16 = 196 - 16

x^2 = 180

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]

STEP 3: Simplify

Since the question asks you to put the equation in simplified radical form, you do not have to approximate the answer, but you do have to simplify the radical.

[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{180}[/tex]

x = [tex]\sqrt{36}[/tex] * [tex]\sqrt{5}[/tex]

x = 6[tex]\sqrt{5}[/tex]

Answer:

yes

Step-by-step explanation:

Here is the complete question :

A bakery owner asked 150 customers to taste a new type of cookie and found that 60 people liked its taste. 40% of the surveyed customers like the taste of the cookie. Is it an example of descriptive statistics?

Descriptive statistics are used to summarise the features or characteristics of a data or sample. It provides information on the features of sample collected.

Types of  descriptive statistics

1. Measures of central tendency :

They include mean, median and mode

Mode refers to a value that appears most frequently in a data set.

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

2. Measures of variation : It includes range, standard deviation and variance

3. Measure of position ; percentile and quartiles

4. Measure of frequency : count, percentage

The rate is 4% per year.

It is required to find the rate of interest.

Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.

Given that:

Let, principal is P,

so, interest is P/5 in 5 yrs.

As from the formula of simple interest,

So, P/5 = P× R ×5/ 100 (R = rate)Or, R = 4%

So, rate is 4% per year.

Learn more about simple interest here:

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The missing option is e. 4%

Answer:

30 degrees.

Step-by-step explanation:

DC is given as 120, so start off by finding arc BC.

180-120= Semicircle-DC=60.

BC=60.

Inscribed angles are half of their arcs.

60/2=30.

Answer:

1. Cong SSS 2.Cong SSS 3.Not Cong 4.Not Cong 5.Cong SAS 6.Cong SSS 7.Cong SAS 8.Cong SSS 9.Cong SSS 10.Cong SAS 11.d 12.a 13.a 14.b 15.a

Step-by-step explanation:

Answer:

A. x² + 3x - 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 2

g(x) = x² + 1

(f + g)(x) is f(x) + g(x)

Step 2: Find

Answer:

D. x² + 3x + 1

Step-by-step explanation:

Given :- f ( x ) = 3x - 2 ɑnd g( x) = x² + 1

Find :- ( f + g ) ( x )

Solution :-

( f + g ) ( x ) = ( ( 3x - 2 ) + ( x² + 1))

( f + g ) ( x ) = ( 3 x - 2 + x² + 1 )

( f + g ) ( x ) = ( x² + 3x - 1 )

Answer:

[tex] \sqrt{100 - 64} \\ = 36 \\ = {6}^{2} [/tex]

Answer:

9 hours

Step-by-step explanation:

You have to add both hours to get the total amount. So 3+6=9

Answer:

9 hours

Step-by-step explanation:

Stacy worked on the house 9 hours because she worked 3 hours before lunch and 6 hours after lunch. 6+3=9

Answer:

176mm

Step-by-step explanation:

Given

Diameter of the pencil = 7mm

First, we need to find the length of one roll of paper

Circumference of one roll = πd

Circumference of one roll = 22/7  *7

Circumference of one roll = 22mm

Since a student winds a strip of paper eight times around a cylindrical pencil, then the length of the paper = 8 * 22  = 176mm

Answer:

The perimeter is 109.8

Step-by-step explanation:

As we can see here, the angles of the triangles are congruent so we can say that both triangles are congruent

When two triangles are congruent, the ratio of their corresponding sides are equal

So we can get the scale factor here by looking at the sides facing each specific angle in both triangles

In the bigger triangle,

The side facing 34 degrees has a length of 30

In the smaller triangle,

The side facing 34 degree has a length of 27

So the scale factor to get the smaller from the bigger is 27/30 = 9/10 or 0.9

Likewise the side facing 51 degrees in the bigger is 40 while for the smaller, it is 36

So the ratio still stands at 36/40 = 9/10 or 0.9

In essence, the smaller triangle will have a perimeter that is 0.9 times that of the bigger

The perimeter of the bigger is simply the sum of the side lengths

We have this as;

(52 + 30 + 40) = 122

so that of the smaller would be;

122 * 0.9 = 109.8

Answer:

The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Step-by-step explanation:

In order to solve this question, we have to use the formula provided in the question to find out the volume of the rectangular prism. The formula goes as follows...

V = l × w × h   (where "l" is the length, "w" is the width, and "h" is height.

From the question, we know that...

l = 4x

w = 5x

h = [tex]x^{2} + x + 2[/tex]

Now we just have to substitute all of these values into the equation and we get that...

V = l × w × h

V = 4x × 5x × [tex](x^{2} + x +2)[/tex]

[tex]V = (20x^{2})(x^{2} + x + 2)\\V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Therefore, The volume of this rectangular prism equals [tex]V = 20x^{4} + 20x^{3} + 40x^{2}[/tex]

Answer:

Option (1)

Step-by-step explanation:

Given inequality is,

-4(x + 3) ≤ -2 - 2x

Further solve this inequality,

-4x - 12 ≤ -2 - 2x

-4x + 2x - 12 ≤ -2 - 2x + 2x

-2x - 12 ≤ -2

-2x - 12 + 12 ≤ -2 + 12

-2x ≤ 10

-x ≤ 5

x ≥ -5

Therefore, on a number line draw an arrow starting with a solid circle (because of equal to sign) and moving towards the numbers greater than -5.

Option (1) is the answer.

Answer:

it is 1:5

Step-by-step explanation:

The table shows the amount of red paint that can be added to different amounts of white paint while making a custom paint color:

Paint Color

Quarts of Red Paint Quarts of White Paint

4 20

5 25

7 35

8 40

Which statement is true about the

ratio of red paint to white paint in the paint color?

it is 1:16

it is 16:1

it is 5:1

it is 1:5

Ratio of red paint to white paint in the paint color = 4 : 20

= 4/20

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 1 : 5

Ratio of red paint to white paint in the paint color = 5 : 25

= 5/25

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 7 : 35

= 7/35

= 1/5

= 1 : 5

Ratio of red paint to white paint in the paint color = 8 : 40

= 8/40

= 1/5

= 1 : 5

Answer:

15 ten thousands

Step-by-step explanation:

15,000 ones is 15,000 * 1 = 15,000

1,500 tens is 1,500 * 10 = 15,000

15 thousands is 15 * 1000 = 15,000

15,000 is 15,000 '-'

15 TEN thousands is 15 * 10,000 = 150,000

It could be 1.5 ten thousands. 1.5 ten thousands is 15,000.

Answer:

$837.5

Step-by-step explanation:

here given

Principal (P)= $ 1000

Rate. (R)= 16.75%

time. (T)= 5year

we know

Simple interest (S.I)= PTR/100

1000*5*16.75/100

= $837.5

Answer:

Step-by-step explanation:

2x + 3y = 2750

x + y = 1250

where x is student tickets and y is adult tickets

x = 1250 – y

2x = 2500 – 2y

→

(2500 – 2y) + 3y = 2750

2500 + y = 2750

y = 250 →

x + y = 1250

x = 1000

Answer:

TFY

Step-by-step explanation:

let's start with the 90 degrees angle.

this is C in the first, and T in the second triangle.

so, C and T must be aligned.

and the we go around.

F ~ H

and then

Y ~ S

Répondre:

Benoit a 10 ans

Explication étape par étape :

Laisser :

Âge de Thomas = x

Benoit age = y

il y a 5 ans :

x - 5 = 5 (y - 5)

x - 5 = 5y - 25 - - (1)

Aujourd'hui :

x = 3y - - (2)

Mettez x = 3y dans (1)

3 ans - 5 = 5 ans - 25

Recueillir des termes similaires

3 ans - 5 ans = - 25 + 5

-2a = - 20

Diviser les deux côtés par - 2

y = 10

Answer:

Isosceles triangle

Answer:

{5,7,8}

Step-by-step explanation:

A-B = {2,4,6} => A={2,4,6}

B - A = {0,1,3} => B= {0,1,3}

A∪B = {0,1,2,3,4,5,6,7,8}

=> A = {2,4,5,6,7,8}

B= {0,1,3,5,7,8}

=> A∩B = {5,7,8}

Answer:

none

Step-by-step explanation:

accellus

The inverse matrix or type none of the given matrix is given as [tex]\rm A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex].

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The a_{ij} element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

[tex]A = \begin{bmatrix}3& 2\\4 & 1 \\\end{bmatrix}[/tex]

Then the transpose of a will be

[tex]\rm adj \ A = \begin{bmatrix}a_{11} & a_{21} \\a_{12} & a_{22} \\\end{bmatrix}\\\\\rm adj \ A = \begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}[/tex]

Then the value of matrix A will be

[tex]\rm \left| A \right|= \begin{vmatrix}3& 2\\4 & 1\end{vmatrix}\\\\\left| A \right|= 3*1 - 4*2\\\\|A| = -5[/tex]

Then the inverse matrix is defined as

A⁻¹ = Adj A / |A|

Then we have

[tex]\rm A^{-1} = \dfrac{\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}}{-5}\\\\\\A^{-1} = \dfrac{1}{-5}\begin{bmatrix}3& 4\\2 & 1 \\\end{bmatrix}\\[/tex]

More about the matrix link is given below.

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Answer:

you did not apply an expression

Step-by-step explanation:

Answer:

x axis, then translate x+6, y+1