Out of 75 students, 45 are taking Algebra 2 and 32 are taking Chemistry. Sixteen students are taking both Algebra 2 and Chemistry. If a student is chosen at random, what is the probability that the student is taking Algebra 2 but not Chemistry?

Answers

Answer 1
Answer
29/75
Explanation
Total number of students = 75
Number of students taking algebra n(A) =45
Number of students taking chemistry n(C)=32
Number of students both taking algebra and chemistry n (ANC) =16
Number of students taking algebra only = n(A)-n(ANC)
=45-16
=29
The probability That the students are taking algebra not chemistry = 29/75

Related Questions


Which values complete the function? f(x)=_(x-_)(x+_)

Answers

Answer:

the answer is b

Step-by-step explanation:

just took the test

Answer:

Step-by-step explanation:

-1

3

4

The slope of the line that passes through the points [6,9[ and [11,2] is

Answers

Answer:

-7/5

Step-by-step explanation:

m = slope = (y1-y2) / (x1-x2)  =  7/-5 = - 7/5

I don't get what I'm doing wrong,does anybody know this?The diameter of a great circle is 24 inched find the total surface area of the hemisphere don't forget to include the base in the total area.

Answers

since it's diameter is 24, its radius must be 12.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]

now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]

The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

What is hemisphere?

A hemisphere is "half the part of sphere".

According to the question,

The diameter of greater circle is 24 this implies radius of circle is 12.

Surface area of sphere = 4πr²

= 4×π × (12)²

= 576π.

Surface area of sphere is 576π

Surface area of Hemisphere is half of the surface area of sphere.

(576π)/2 = 288π

In order to include the base in the total area only if add surface area of hemisphere and area of circle.

surface area of hemisphere + rea of circle = 288π + π(r)²

= 288π + π(12)²

= 288π + 144π

= 432π

Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

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2,994 divided by 128 i need help

Answers

23.390625
That is your answer

Answer:

Divide 320 by 128 to get 2

23.39062

128| 2994.00000

256

____

434

384

_____

500

384

_____

1160

1152

____

80

0

___

800

768

_____

320

256

_____

64

Stopping at 5 decimal places

The solution for Long Division of 2994/128 is 23.39062

23.39062

80 men construct a building in 10 months. How many men will construct a the same building in 8 months? Share with steps

Answers

Answer:

64 men

Step-by-step explanation:

80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.

Line A is represented by the equation given below: x + y = 2 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point) a 2x + 2y = 2 b 2x + 2y = 4 c 2x + y = 2 d x + y = 4

Answers

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

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short answer: Write an equation in the form y=ax2+bx+c for a parabola that intersects the x-axis at -6 and 2 and passes through the point (1,-14) (2 points). Show you work.

Answers

Answer:

y = 2x^2 + 8x - 24

Step-by-step explanation:

This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.

distance between points (-4,4) and (4,-2)

Answers

Answer:

10 units

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]

   = [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]

    = [tex]\sqrt{8^2+36}[/tex]

    = [tex]\sqrt{64+36}[/tex]

    = [tex]\sqrt{100}[/tex]

     = 10

You can help me please ?

Answers

Answer:

B = 48

Step-by-step explanation:

8 x 6 = 48

hope this helps!

A circle has a radius of 16 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
16 m

Answers

Answer:

C=100.53 CM²

Step-by-step explanation:

Formula to the circumference of a circle is 2π·r

2π=6.28

6.28·16=100.53 CM²

Drag the tiles to the correct boxes to complete the pairs.
Match each division expression to its quotient.
16 divided by (-8). -2 2/5 divided by 4/5. 33/7 divided by 1 1/7. -12.2 divided by (-6.1)

Answers

Answer:

check explanation for answer

Step-by-step explanation:

16 ÷ -8 = -2

- 2 \frac{2}{5} ÷  \frac{4}{5} = -3

3 \frac{3}{7} ÷ \frac{1}{7} = 3

-12.2 ÷ -6.1 = 2

list all the possible order you can have

Answers

wala ako pake sau

Step-by-step explanation:

wala ako pake sau

A ball is thrown through the air, following a parabola: y= -x^2 + 4x + 4.

The land slopes upward: y = 0.5x + 2

1. Using the graph what is a solution to the system of equations?

( , )

2. What does the solution represent in this scenario?


a The point the ball reaches maximum height.

b The point where the ball meets the ground.

c The point where the ball is thrown.

Answers

The solution represents the point where the ball meets the ground

What is the AREA of the figure below?

Answers

Answer: 12

Step-by-step explanation:

height x width

3 x 4 = 12

Pls help will give brainilist

Answers

Answer:

$16.37

Step-by-step explanation:

They want to raise $463.72 and they already have $218.22 so if we subtract it

$463.72-$218.22=$245.50

we get $245.50 left to raise.

We have 15 teachers so we do

$245.50/15

we get 16.36 but we round it so we get $16.37.

In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 2 feet and b = 1 foot, what is c? If necessary,
round to the nearest tenth.
c =
feet

Answers

c=2.2feet

The solution in the attached file

QUESTION
Find 45% of 240.

Answers

Answer:

108

Step-by-step explanation:

Calculator

Answer:

108

Step-by-step explanation:

(45 * 240) / 100

(10,800) / 100 

108

What is the area of the polygon in square units?

A four-quadrant graph with an irregular polygon with vertices at negative four comma eight, five comma eight, five comma two, nine comma two, twelve comma negative six, and negative four comma negative six.

Answers

The area of the Area  of the polygon is known to be 9 units². Find more about polygon below

What is the Area of a Polygon?

The area of a polygon is one that is defined as the measurement of the given area that is known to be covered by it.

Note that to calculate the area, it will be

Area = 1/2 (5 + 1) x 3 = 9 units²

Thus the answer of 9 units is correct.

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If 35 boxes equals to 21 dollars in total, how much does each box cost?

Answers

let b be number of boxes

35b = 21
b = 0.6

each box cost -> $0.60
1 box = 21/35 = 0.60

So 1 box is basically $0.60 yeah

what is the solution of y = 2/3x + 23/3?

Answers

Answer:X-Intercepts:([tex]-\frac{23}{2}[/tex] ,0),Y-Intercepts: (0, [tex]\frac{23}{3}[/tex]) slope[tex]\frac{2}{3}[/tex]Step-by-step explanation:[tex]\frac{2}{3}x[/tex]+[tex]\frac{23}{3}[/tex] = slope [tex]\frac{2}{3}[/tex]

Can someone try to help me I’m trying to get to a 91

Answers

In most ovens, the lowest the temperature can go is 170°F. So, the most reasonable answer would be 200°F.

Evaluate the expression when y=4.

y² + 6y +8

Answers

Answer:

48

Step-by-step explanation:

substitute y = 4 into the expression

y² + 6y + 8

= 4² + 6(4) + 8

= 16 + 24 + 8

= 48

It takes Imani seven hours to dig a 10 ft by 10 ft hole. Stefan can dig the same hole in five hours. If they worked together how long would it take them

Answers

Answer:

2 hours and 44 min. or 2.7273 hours

Step-by-step explanation:

Ryan: 1 hole per 5 hours

Castel: 1 hole per 6 hours

x = time if working together then

x(1/5 + 1/6) = 1

x(6 + 5) = 30

11x = 30

x = 30/11

x = 2.7273 hours

or

x = 2 hours and 44 minutes

If , the ratio of the length of to the length of is .

Answers

Given the ratio of 5 : 3, the length of the rectangle is 45 units

How to determine the length?

The ratio is given as:

Length : Width = 5 : 3

The perimeter is given as:

Perimeter = 144

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have:

2 * (Length + Width) = 144

Divide both sides by 2

Length + Width = 72

Recall that:

Length : Width = 5 : 3

Express as fraction

Length/Width = 5/3

Make Width the subject

Width = 3Length/5

Substitute Width = 3Length/5 in Length + Width = 72

Length + 3Length/5  = 72

Multiply through by 5

5Length + 3Length  = 360

This gives

8Length  = 360

Divide both sides by 8

Length  = 45

Hence, the length of the rectangle is 45 units

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A rectangular pyramid has a volume of 492 cubic yards. if the base has a length of 18 yards and a width of 4 yards, what is the height of the pyramid?

Answers

Answer:

h = 20.5 yards

Step-by-step explanation:

Volume of Rectangular Pyramid: lwh/3

492 = (18) * (4) (h) /3

Multiply 3 on both sides

1476 = (18) (4) (h)

1476 = 72h

Flip the equation.

72h = 1476

h = 41/2 or 20.5 yards

please help show work

Answers

Answer:

236854

Step-by-step explanation:

Relation between sugar and flour

18 teaspoons of sugar per 3 cups of flourRate : 18/3 = 6 teaspoons of sugar per cup of flour

Table

[tex]\left[\begin{array}{ccc}sugar(tsp)&flour(cups)\\12&2\\18&3\\36&6\\48&8\\54&9\end{array}\right][/tex]

Answer:

Step-by-step explanation:

Remark

The key to this question is the second entry. Numerically the sugar is divided by 6 to get the flour. Never mind the units. Just deal with the ratio itself.

Formula

Flour = Sugar / 6

Solution

Sugar = 12

Flour = 12/6 = 2

Flour = 18/6

Flour = 3

Flour = 6

6 = sugar/6               multiply by 6

6*6 = 6* sugar/6

36 = sugar

Sugar = 48

Flour = 48/6 = 8 cups of flower

Flour = 9

9 = sugar / 6

9*6 = sugar

Sugar = 54.

tony wants to rent a bike. bike rentals cost $7.50 for a half hour. if tony rents a kayak for two hours and 30 minutes, how much will it cost him?

Answers

37.50

Step-by-step explanation:

$1,125. Two hours is 120 minutes because one hour is 60 and half an hour is 30 so, 120 + 60 = 150.

help need to pass class and iready

Answers

Answer:

[tex]\Large\boxed{\sf{y > 32}}[/tex]

Step-by-step explanation:

To get the final answer, isolate the variable y on one side of the equation.

1/4y≥8

First, multiply by 4 from both sides.

[tex]\Longrightarrow: \sf{4*\dfrac{1}{4}y\geq 8*4 }[/tex]

Solve.

8*4=32

[tex]\boxed{\sf{y\geq 32}}[/tex]

Therefore, the correct answer is D.

I hope this helps, let me know if you have any questions.

Which set only contains numbers that make the inequality true? x + 19 < 28 {10, 11, 12, 13} {10, 11, 12, 13} {3, 4, 5, 6} {3, 4, 5, 6} {12, 13, 14, 15} {12, 13, 14, 15} {7, 8, 9, 10}

Answers

Answer:

{3, 4, 5, 6} 

Step-by-step explanation:

Inequalities represent the value of a variable by comparing them to other values.

Inequality Signs

Before answering the question, make sure you understand the different inequality signs.

< - This sign represents less than. This means that the value on the left is less than the value on the right.> - This sign represents greater than. This means that the value on the left is greater than the value on the right.< - This sign means less than or equal to. So, the value on the left will be less than or the same as the value on the right.> - This sign means greater than or equal to. So, the value on the left will be greater than or the same as the value on the right.

Solving the Inequality

To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.

To do this subtract 19 from both sidesx < 9

Finding the Set

Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.

Help pleasseeeee!!!!


Which of the following statements is TRUE about using a quadrilateral to construct a parallelogram?

A. All sides of the quadrilateral must be congruent and all angles must be congruent?

B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

C. The sides of the quadrilateral can be any length and the angles can be any measure.

D. Adjacent sides of the quadrilateral must be perpendicular and adjacent angles must be congruent.

Answers

Answer:

B. B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

Answer: Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

Step-by-step explanation:

If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

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