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?​

Answers

Answer 1

Answer:

Step-by-step explanation:

total number of students=22

number of female students=7

number of male students=22-7=15

number of male students not having A=3

Number of male students having A=15-3=12

P(male student having A)=12/22=6/11

Answer 2

The probability that a student who has an A is male is approximately 0.632

What is probability?

We can use the formula for conditional probability:

P(Male | A) = P(Male and A) / P(A)

We are given that there are 3 male students who do not have an A, so there are 22 - 3 = 19 students who have an A. Of these 19, we do not know how many are male. However, we do know that there are 7 female students, so the number of male students who have an A is:

19 - 7 = 12

Therefore, the probability that a student who has an A is male is:

P(Male | A) = 12 / 19

We can simplify this fraction by dividing the numerator and denominator by their greatest common factor (which is 1 in this case):

P(Male | A) = 12 / 19

So the probability that a student who has an A is male is approximately 0.632.

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Related Questions

Graph the image of T(

10,

7) after a rotation 270° counterclockwise around the origin.

Answers

Answer:

[tex]T' = (-7,10)[/tex]

Step-by-step explanation:

Given

[tex]T = (10,7)[/tex]

[tex]r = 270^o[/tex] counterclockwise

Required

Graph of T'

The rule to this is:

[tex](x,y) \to (-y,x)[/tex]

So, we have:

[tex]T(10,7) \to T' (-7,10)[/tex]

Hence:

[tex]T' = (-7,10)[/tex]

See attachment for graph

a. 12.3
b. 8.1
c. 0.1

Answers

Answer:

a

Step-by-step explanation:

tan(39⁰)= opposite ÷ adjacent

0.8097= 10 ÷ x

X = 10 ÷ 0.8097

X = 12.3

What is the measure of UV?

A. 38°
B. 42°
C. 46°
D. 84°

Answers

Answer:

D. 84°

Step-by-step explanation:

I'm correct if I'm rwong

The measure of UV will be similar to the measure of XY. Then the measure of UV is 46°, then the correct option is C.

What is an angle?

Angle is the space between the line or the surface that meets.  And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The measure of UV will be similar to the measure of XY.

UV = XY

UV = 46°

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Helpppppppppp ASAP pls and thankyouu

Answers

Answer:

1. The graph of the inequality, y > -3·x - 2, created with MS Excel is attached showing the following characteristics;

Linear

Shade is above the line

2.  The graph of the inequality, y ≤ │x│ - 3,  created with MS Excel is attached showing the following characteristics

Linear

Shade is below the line

3. The graph of the inequality, y < x² - 4,  created with MS Excel s attached showing the following characteristics;

Quadratic

Shade below the line

Step-by-step explanation:

Solve the equation and enter the value of x below. -4(x - 5) = 60​

Answers

Answer:

The value of x is 10.

Step-by-step explanation:

By question,

-4(x - 5) = 60

or,-4x + 20 = 60

or,-4x = 60 -20

or, -4x = 40

or, x =40/-4

Hence,x=10

Answer:

x = 10

Step-by-step explanation:

-4(x - 5 ) = 60

Solve for x.

-4(x - 5 ) = 60

Step 1 :- Distribute -4.

-4 × x - 4 × -5 = 60

-4x + 20 = 60

Step 2 :- Move constant to the right-hand side and change their sign.

-4x = 60 - 20

Step 3 :- Subtract 20 from 60.

-4x = 40

Step 4 :- Divide both side by -4.

[tex] \frac{ - 4x}{ - 4} = \frac{40}{ - 4} \\ [/tex]

Hence , x = 10

Can someone help me with this math homework please!

Answers

Answer:

250 + 200h = 300 + 180h

200h – 180h = 300 – 250

20h = 50

H = 2.5 credit hours

Step-by-step explanation: Hope this helps and good luck :))

The
hypothesis
represents the statistical claim that the company's
tablet computers have an average recharge time of
less than 3 hours.

Answers

Answer:

Alternative

Step-by-step explanation:

Answer:

U=3 , U<3 , alternative

Step-by-step explanation:

Lim x->-5(((1)/(5)+(1)/(x))/(10+2x))=

correct answer 1/10x = -1/50

explain:

Answers

Given:

The limit problem is:

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

To find:

The value of the given limit problem.

Solution:

We have,

[tex]lim_{x\to -5}\dfrac{\dfrac{1}{5}+\dfrac{1}{x}}{10+2x}[/tex]

It can be written as:

[tex]=lim_{x\to -5}\dfrac{\dfrac{x+5}{5x}}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{x+5}{5x}\times \dfrac{1}{2(5+x)}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{5x\times 2}[/tex]

[tex]=lim_{x\to -5}\dfrac{1}{10x}[/tex]

Applying limit, we get

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{10(-5)}[/tex]

[tex]lim_{x\to -5}\dfrac{1}{10x}=\dfrac{1}{-50}[/tex]

Therefore, the value of given limit problem is [tex]-\dfrac{1}{50}[/tex].

Can someone help with 13 and 14

Answers

Step-by-step explanation:

Question 13 :-

-4c³ . 7d² . 2c -²( -4c ³ - ² ) . 7d² -4c . 7d²-28cd²

Question 14 :-

n-⁴ w⁰n-⁴ . 1 n -⁴

Answer:

13.) -56cd²

14.) n-⁴

Step-by-step explanation:

Question 13 :- -4c³• 7d² • 2c-²

-4c³• 7d² • 2c-²

Calculate the products.

-4•7•2 c³ d²c-²-56c³ d²c-²

Multiplying the terms with the same base by adding their exponents.

-56c³-²d²

Calculate the exponents.

-56cd²

Question 14 :- n-⁴w⁰

n-⁴w⁰

Any non - zero expression raised to the power 0 equals 1.

n-⁴ 1

Any expression multiplied by 1 remains the same.

n-⁴

If trstan has a pickup truck that could carry 7/4 cord of firewood, FInd the number trips needed to cary 63 cords of wood

Answers

Answer:

36

Step-by-step explanation:

63/(7/4) 63 divided by 7/4

63* 4/7 63 multiplied by 4/7

=36 answer is 36

Find the quotient of 10/0

Answers

Answer:

The quotient is the answer to a division.

One of the properties of 0, is that 0 divided by any number is 0.

The exception is

0/0

which is undefined.

(the fact that 0 is being divided by a negative number makes no difference. There is no just thing as +0 or -0.)

Step-by-step explanation:

what is the product of the prime factors of 24​

Answers

Answer:

So the prime factorization of 24 is 24 = 2 · 2 · 2 · 3 = 23 · 3. A good way to check the result is to multiply it out and make sure the product is 24.

Step-by-step explanation:

Marcel and Floyd are playing games at an arcade. Marcel has $8.25 and is only playing $0.25 games. Floyd has $9.75 and is only playing $0.75 games. Jorge wants to find the number of games after which Marcel and Floyd will have the same amount of money remaining. Jorge’s work is shown below.

Answers

Answer:

3 games

Step-by-step explanation:

the perpendicular distance of p (3,4) from the y - a x is _____​

Answers

Answer:

a

Step-by-step explanation:

The perpendicular distance from the y- axis is the value of the x- coordinate, so

perpendicular distance is 3 units

If a = 7, what is the value of the expression 2(a + 8)?

Answers

Answer:

[tex]2(a + 8) \\ if \: a = 7 \\ 2 \times (7 + 8) \\ 2 \times 15 \\ = 30 \\ [/tex]

please mark as brainliest

find the inverse matrix or type none use decimals [3 2
4 1]

Answers

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].

What is the matrix?

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]

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Which equation will solve the following word problem? There are 36 tables and 7 booths in the family restaurant. Each table seats 4 people. If the restaurant can seat up to 184 people, what is the capacity of each booth?


(B * 7 ) - (36 * 4) = 184


7B + (36 * 4) = 184


184 - (36 * 4) = B/7


184/4 = B * 7

Answers

Answer:

7B + (36 * 4) = 184

Step-by-step explanation:

In a family restaurant there are 36 tables and 7 booths.

Each table can seat 4 people.

Let the number of people who can be seated in a booth be represented by B.

Total seating capacity of the restaurant is 184 people.

Expressing this as an equation:

Among the given options, this relation is expressed in the second option, namely, 7B + (36 * 4) = 184

Which inequality is true?
A.
|-15| > |-19|
B.
|-16| < |13|
C.
|-15| > |12|
D.
|12| < |-8|
E.
|-19| > |-20|

Answers

Answer:

I don't know I don't know about question

Helppppp pls and thankyouuu

Answers

Answer:

20 minutes on the stationary bike

10 minutes on the treadmill

Step-by-step explanation:

x = minutes on bike

y = minutes on treadmill

x + y = 30

12x + 15y = 390

x = 30-y

12(30-y) + 15y = 390

360 - 12y + 15y = 390

3y = 30

y = 10

x + 10 = 30

x = 20

Which of the following are valid (necessarily true) sentences? a. (∃x x = x) ⇒ (∀ y ∃z y = z). b. ∀ x P(x) ∨ ¬P(x). c. ∀ x Smart(x) ∨ (x = x)

Answers

Answer:

b; ∀x   P(x) ∨ ¬P(x)

Step-by-step explanation:

Suppose that we have a proposition p

Such that p can be true or false.

We can define the negation of p as:

¬p

Such that, if p is false, then ¬p is true

if p is true, then ¬p is false.

Also remember that a proposition like:

p ∨ q

is true when, at least one, p or q, is true.

Then if we write:

p ∨ ¬p

Always one of these will be true (and the other false)

Then the statement is true.

And if the statement depends on some variable, then we will have that:

p(x) ∨ ¬p(x)

is true for all the allowed values of x.

from this, we can conclude that the statement that is always true is:

b; ∀x   P(x) ∨ ¬P(x)

Where here we have:

For all the values of x,   P(x)  ∨ ¬P(x)

Need help, please answer this

Answers

Answer:

In this exercise we need to solve the equation

3(x-2) = 2x + 6 - 2

We operate the parentheses and the right side

3(x-2) = 2x + 4

3x - 6 = 2x + 4

We add 6 to both sides

3x -6 + 6 = 2x + 4 + 6

3x = 2x + 10

We substract 2x

3x - 2x = 2x + 10 - 2x

x = 10

x = 10

Step-by-step explanation:

A calculator requires a keystroke assembly and a logic circuit. Assume that 83% of the keystroke assemblies and 88% of the logic circuits are satisfactory. Assuming that defects in keystroke assemblies are independent of defects in logic circuits, find the probability that a finished calculator will be satisfactory. Group of answer choices

Answers

Answer:

0.7304

Step-by-step explanation:

According to the Question,

Given That,  A calculator requires a keystroke assembly and a logic circuit. Assume that 83% of the keystroke assemblies and 88% of the logic circuits are satisfactory.

We have,

P(keystroke satisfactory) =0.83 ,  P(logic satisfactory)= 0.88

Assuming that defects in keystroke assemblies are independent of defects in logic circuits

Since the events are independent. So, the probability that a finished calculator will be satisfactory

⇒ 0.83×0.88

0.7304

Points R, L, and S are

A. non-collinear and non-coplanar
B. coplanar and collinear
C. non-collinear and coplanar
D. collinear and collinear

Answers

Answer:

C. non collinear and coplanar

Option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

What is coplanar?

A set of points in space are co planar, if there exists a geometric plane that contains them all.

What is non-collinear?

Non-collinear points are points that do not lie on one straight line. The points are not collinear, when they are joined with each other, they form a triangle, which is a three-sided polygon.

For the given situation,

The diagram shows the plane M and the triangle.

In the diagram, all the points are lie on the same plane but the points are not lie on the same line.

Three points are always co planar, and if the points are distinct and non-collinear, the plane they determine is unique.

Hence we can conclude that option (C) non-collinear and co planar is the correct answer about the points R, L, and S.

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HELP. Drag the tiles to the correct boxes to complete the pairs.
Match each product of complex numbers with its value.

Answers

Answer:

[tex]i^{2} (2i^{2} -5)[/tex]

[tex]2i^{2} \times i^{2} -5i^{2}[/tex]

[tex]2(-1)(-1)-5(-1)[/tex]

[tex]2+5[/tex]

[tex]=7[/tex]  [tex]i^{2}(2i-5)[/tex]

------------------

[tex]i^{2} (3+i^{2} )[/tex]

[tex]i^{2} \times 3+i^{2} \times i^{2}[/tex]

[tex](-1)3+(-1)(-1)[/tex]

[tex]-3+1[/tex]

[tex]-2[/tex]  [tex]=i^{2} (3+i^{2} )[/tex]

---------------------

[tex]2i(2i-i^{3} )[/tex]

[tex]2i\times 2i-i^{3} \times2i[/tex]

[tex]4i^{2} -2i^{4}[/tex]

[tex]4(-1)-2(1)[/tex]

[tex]-4-2=[/tex]

[tex]-6=2i(2i-i^{3} )[/tex]

-------------------

[tex]i(4i^{3} -i)[/tex]

[tex]4i^{3} \times i-i\times i[/tex]

[tex]4i^{4} -i^{2}[/tex]

[tex]4(1)-(1)[/tex]

[tex]4+1=5[/tex]

--------------------

ANSWER:

[tex]-6\Longrightarrow 2i(2i-i^{3} )[/tex]

[tex]5\Longrightarrow i(4i^{3} -i)[/tex]

[tex]7\Longrightarrow i^{2} (2i-5)[/tex]

[tex]-2\Longrightarrow i^{2} (3+i^{2} )[/tex]

----------------------------

Hope it helps...

Have a great day!!

Solve for x.

Help me please

Answers

Answer:

x = 24

Step-by-step explanation:

Mathematically, in a cyclic quadrilateral; two opposite angles are supplementary

what this mean is that the opposite angles add up to equal 180 degrees

mathematically, we have this as;

(4x + 9) + (3x + 3) = 180

4x + 3x + 3 + 9 = 180

7x + 12 = 180

7x = 180-12

7x = 168

x = 168/7

x = 24

Activity 5: COMPARE US! Write an inequality relating the given pair of angles or segment measures. Complete each statement by choosing <, =, or >.

Answers

Answer:

1. LM < PN

2. AD < DC

3. m<CAB < m<CBA

4. m<1 = m<2

Step-by-step explanation:

Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.

1. LM is opposite to <LNM,

PN is opposite to <NLP

m<LNM is less than m<NLP, therefore,

LM < PN

2. AD is opposite to <ABD

DC is opposite to <DBC

m<ABD is less than m<DBC, therefore,

AD < DC

3. m<CAB is opposite to CB

m<CBA is opposite to CA

CB is less than CA, therefore,

m<CAB < m<CBA

4. The side opposite to <1 is congruent to the side opposite to <2.

Therefore,

m<1 = m<2

I need to find angle BAC

Answers

Answer:

m<BAC = 60°

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle equals the sum of the measures of its remote interior angles.

m<ACD = m<A + m<B

130° = m<A + 70°

m<A = 60°

m<BAC = 60°

Triangle ABC has an Area of 4 3/8 square feet. If the length of AC IS 1 2/3 feet, what is the length of BC?

Answers

Answer:

length of BC = 5 1/4 feet

Step-by-step explanation:

Area of a triangle = 1/2×base×height

Area = 4 3/8 square feet

Base = AC= 1 2/3 feet

Height = BC = ?

Area of a triangle = 1/2×base×height

4 3/8 = 1/2 × 1 2/3 × height

35/8 = 1/2 × 5/3 × height

35/8 = 5/6 × height

Height = 35/8 ÷ 5/6

= 35/8 × 6/5

= (35 × 6) / (8 × 5)

= 210 / 40

= 5 1/4 feet

Height = BC = 5 1/4 feet

length of BC = 5 1/4 feet

Find x and y

Help me please

Answers

Answer:

x = 70     y = 140

Step-by-step explanation:

Apologies if I get any names of vocabulary terms wrong, I never pay much attention to the names.

The central angle measure of an arc is the same as the arc's measure. In this case, y is the central angle and 140 is the arc's measure, so y = 140.

The inscribed angle measure of an arc is 1/2 the arc's measure. An inscribed angle lies on the circle. So 140/2 = 70 = x.

Please help I don't understand this at all

Answers

Answer:

The answer is 48in

Step-by-step explanation:

I am pretty sure you add all the numbers together
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