Lincoln High School has 84 teachers. 12 of the teachers teach math. Of the 32 females teachers, 6 teach math.

What is the probability that a teacher is a woman or teaches math? Express your answer as both a fraction and a percetage.

Answers

Answer 1

Probabilities are used to determine the chances of events

The probability that a teacher is a woman or teaches math is 45.24%

How to determine the probability

The given parameters are:

Teachers = 84

Math teachers = 12

Female teachers = 32

Female math teachers = 6

The number of female or math teachers is:

Female or math = Math + Female - Female math

So, we have:

Female or math = 12 + 32 - 6

Female or math = 38

The probability that a teacher is a woman or teaches math is:

[tex]Pr = \frac{38}{84}[/tex]

Simplify

[tex]Pr = \frac{19}{42}[/tex]

Express as percentage

[tex]Pr = 45.24\%[/tex]

Hence, the probability that a teacher is a woman or teaches math is 45.24%

Read more about probability at:

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Related Questions

PLEASE HELP ME OUT! I'll give brainliest!!

Answers

Answer: 106

Step-by-step explanation: 12x10=120 7x2=14 120-14=106

Answer:

[tex]A_{shaded} = 106\ m^2[/tex]

Step-by-step explanation:

Step 1:  Get the area of the inside box

[tex]A=l*w[/tex]

[tex]A_{inside\ box} = 7\ m* 2\ m[/tex]

[tex]A_{inside\ box} = 14\ m^2[/tex]

Step 2:  Get the area of the outside box

[tex]A = l * w[/tex]

[tex]A_{outside\ box} = 12\ m * 10\ m[/tex]

[tex]A_{outside\ box} = 120\ m^2[/tex]

Step 3:  Subtract the inside box from the outside box

[tex]A_{shaded} = A_{outside\ box} - A_{inside\ box}[/tex]

[tex]A_{shaded} = 120\ m^2 - 14\ m^2[/tex]

[tex]A_{shaded} = 106\ m^2[/tex]

Answer:  [tex]A_{shaded} = 106\ m^2[/tex]

help me out please!!! 50 points!!!

Answers

Step-by-step explanation:

I assume they intersect at a right angle (90°).

then the intersection is a rectangle with one side being 12 m, and the diagonal being 13 m long.

the diagonal is the Hypotenuse (baseline) of a right-angled triangle with the length and the width of the rectangle as legs.

so, by using Pythagoras we have

diagonal² = length² + width²

13² = 12² + width²

169 = 144 + width²

25 = width²

width = 5 m

so, Oakdale Avenue is 5 m wide.

What is the total surface area of the prism?

Answers

Answer:

The total surface area of the prism

=Lateral surface area of prism +

area of the two bases = (2 ×

Base Area ) + Lateral surface

area or (2 × Base Area) + (Base

perimeter × height) .

Step-by-step explanation:

hope it helps

Every year for Valentine's Day, Martin gets his
wife a dozen roses. Last year, a dozen roses
cost him $30. This year, a dozen roses cost him
$45. What is the percent change from last year
to this year (whole number)? Did it increase or
decrease?

Answers

Answer:

It's increased by 50% bec the change is 15 ÷ 30 = 0,5 × 100 = 50%


Select the correct answer.
Which of the following is the inverse of f(x)= 3-x/5

Answers

Answer:

Step-by-step explanation:

answer is A : 3-5X

Answer:

A.

Step-by-step explanation:

mark the other person brainliest

A ladder is 9 feet 11 inches tall. How tall is it in inches

Answers

One feet is equivalent is 12 inches. We need to multiply 9 by 12. This gives us 108. Next, we add 108 and 11. This gives us 119. The ladder is 119 inches tall.

Hello there! I'm kinda bo-r-ed. Anyone w-anna share a story​

Answers

well i was going to make an essay but i dont know how

One time I breathed and walked and talked

Find the value of x.
a) x=109
b) x=115
c) x=95
d) x=129

Answers

Answer:

A 109

Step-by-step explanation:

Pentagram's angles add up to 540. After subtracting all the other angles, you are left with 109.

Answer:

A

Step-by-step explanation:

add all the angles, answer should be 431, then subtract it from 540 (sum of interior angles for a pentagon), this gives u the answer of 109

what is the mean range median mode
75 90 62 82 94 98 94

Answers

Answer:

the mean is 85

the range is 98-62=36

the median is 90

the mode is 94

Step-by-step explanation:

Suzie is going to run for 32 minutes. She can run 1 mile in 5 minutes and she cools off for 7
minutes. How many miles can she run in her time limit?

Answers

Answer:

5 miles

Step-by-step explanation:

Let's first break down the question.

Suzie has a total of 32 minutes for her run. She runs 1 mile in 5 minutes and then after running she cools down for 7 minutes.

So then, now for the math...

5 + 5 + 5 + 5 + 5 + 7 = 32 minutes

5 * 5 = 25

25 + 7 = 32

During her time limit she will run a total she will run 5 miles.

Which transformation changes triangle ABC to triangle A'B'C'? (1 point)
6
5
432
2.
1
X
1 2 3 4
5 6
-6 -5 -4 -3 -2 -1 0
- 1
-2
8
B
c
4
a
Rotation 90 degrees counterclockwise about the origin
Reflection about the y-axis followed by translation up by 8 units
ob
Ос
Reflection about the x-axis followed by translation left by 4 units
Od
Rotation 180 degrees counterclockwise direction about the origin

Answers

Answer: Choice (a)

Rotation 90 degrees counterclockwise about the origin.

====================================================

Explanation:

Plot a point at the origin. Let's call it point D.

Form segments AD and A'D.

Use the slope formula to note that those segments have negative reciprocal slopes, which leads to the segments being perpendicular.

This proves we have a 90 degree rotation. The direction is counterclockwise when going from A to A'.

The same idea applies when going from B to B', and also C to C'.

The transformation that changes triangle ABC to triangle A'B'C' is a reflection of the y-axis followed by a translation up by 8 units.

Option B is the correct answer.

What is a reflection?

There are two ways of translation.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

To determine the transformation that changes triangle ABC to triangle A'B'C', we need to find the transformation that maps each vertex of triangle ABC to the corresponding vertex of triangle A'B'C'.

To map A to A', we need to move 10 units to the right (from x = -5 to x = 5) and stay at the same y-coordinate (y = -6).

This is a horizontal translation of +10 units.

To map B to B', we need to move 1 unit to the left (from x = -3 to x = 2) and 1 unit up (from y = -2 to y = -3).

This is a horizontal translation of -1 units followed by a vertical translation of +1 units.

To map C to C', we need to move 2 units to the right (from x = -4 to x = 6), and 2 units up (from y = -6 to y = -4).

This is a horizontal translation of +10 units followed by a vertical translation of +2 units.

Therefore,

The transformation that changes triangle ABC to triangle A'B'C' is a reflection of the y-axis followed by a translation up by 8 units.

Learn more about reflections here:

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#SPJ7

I need the answer for the screenshot

Answers

Second option
5/8>1/2

Answer: 5/8 > 1/2

Use L.C.M:

The L.C.M is 8:  1 x 5  5       1 x 4

                            1 x 8  8       2 x 4

                                      5 ---  4 = 5 is more than 4

                                          8

5
Σ2n + 1 1
N=1

Please help!

Answers

Answer:

The series is convergent and: ∞∑n=12nn!=e2−1. Explanation: The ratio test states that a sufficient condition for a series: ∞∑n=0an.

Step-by-step explanation:

hope i helped

If 64=16tsquared what is t

Answers

Answer:

t= 2

Explanation:

[tex] 64 = 16{t}^{2} [/tex]

[tex] \frac{64}{16} = \frac{16 {t}^{2} }{16} [/tex]

[tex]4 = {t}^{2} [/tex]

[tex]t = \sqrt{4} \\ t = 2[/tex]

Question PLEASE PLEASE HELP
Complete the table below to find solutions to the linear equation -3x - y = 27.
Note: When answering the last column (x,y), use parentheses and a comma but do not include a space between numbers.

Answers

[tex]\\ \tt\hookrightarrow -3x-y=27[/tex]

[tex]\\ \tt\hookrightarrow y=-3x-27[/tex]

Put x=0

[tex]\\ \tt\hookrightarrow y=-27[/tex]

Put x=1

[tex]\\ \tt\hookrightarrow y=-3-27=-30[/tex]

The pairs are

(0,-27)(1,-30)

Which choice has eukaryotic plant cells?

E. coli
salmonella
muscle
carrot

I know its obvious just checking my work

Answers

Answer: the answer is d carrot

Step-by-step explanation:

i took the test

HELP PLEASE WORTH 100 Points
Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.
This system of inequalities models the scenario:
2x + 3y < or equal to sign 15
x + y > or equal to sign 3

Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed Provide a description of the solution set (4 points)
Part B: Is the point (5, 1) included in the solution area for the system? Justify your answer mathematically (3 points)
Part C: Choose a point in the solution set and interpret what it means in terms of the real-world context. (3 points)

Answers

Answer:

Michael has $15 and wants to buy a combination of school lunches to feed at least three classmates. A sandwich costs $2, and hot lunch costs $3.

This system of inequalities models the scenario:

2x + 3y < or equal to sign 15

x + y > or equal to sign 3

The entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.

Answers

Answer:

Domain: [-2,5)

Range: (2,-2]

Step by step explanation:

a open circle , means a parenthesis. a close Circle means a bracket . the domain is X . The range is y . for the range you start from the top of the graph and go all the way to the bottom of the graph . then for the domain, you go from the beginning of the graph to the end of the graph, side to side. and that's how I got this answer

Using the net what is the total surface area of the shoe box below

Answers

Answer:

SA = 280 in²

Step-by-step explanation:

The net comprises:

2 rectangles with width 5 in and length 10 in2 rectangles with width 6 in and length 10 in2 rectangle with width 5 in and length 6 in

To calculate the surface area (SA), calculate the area of each rectangle and add them together.

Area of a rectangle = width x length

Therefore, SA of net = 2(5 x 10) + 2(6 x 10) + 2(5 x 6)

⇒ SA = 100 + 120 + 60

⇒ SA = 280 in²

Find the surface area of the net below.

Answers

Answer:

472 in²

Step-by-step explanation:

This net is made up of 3 identical rectangles and 2 identical triangles.

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Rectangle

width = 8 inlength = 19 in

Triangle

base = 8 inheight = 2 in

Surface Area

SA = 3(8 x 19) + 2(0.5 x 8 x 2)

⇒ SA = 456 + 16

⇒ SA = 472 in²


i have to turn this in tire and i don't know how to do this help!!

Answers

Answer:

82

Step-by-step explanation:

This is a 7-sided figure meaning it's interior angles add up to...

(7-2)*180=5*180=900 degrees

We can use this information to set up an equation:

x+2x+160+125+110+147+112=900

Combine like terms:

3x+654=900

Subtract 654 from both sides:

3x+654-654=900-654

3x=246

Divide both sides by 3

x=82

Help 20:00 minutes left help

Answers

Answer:

A

Step-by-step explanation:

[tex]7n + \frac{1}{5} [/tex]

[tex] \frac{35n + 1}{5} [/tex]

And

[tex] \frac{1}{5} + 7n[/tex]

[tex] \frac{1 + 35n}{5} [/tex]

Answer:

A, because they switched around the order of the expression but it still equals the same thing.

Step-by-step explanation:

help me please. this is for a math test and if i’m being honest i’m trash at math but i really need these points

Answers

the answer to f(3)= 1/2(2)^3+1 -5 is f=3.

What is the total surface area of rectangular prism?

Answers

Answer:

162 [m²].

Step-by-step explanation:

required surface is:

A=(3*7+6*7+3*6)*2=162 [m²].

Answer:

So surface area is calculated by
2lw + 2lh + 2hw = SA
L is length
W is width
H is Height

SA is surface area.

So plug it in, (reminder this equation only works for cubes, rectangular prisms)

2(3)(6) + 2(3)(7) + 2(7)(6) = ?

So now follow order of operations to solve.
36 + 42 + 84 = 162

So 162m^2 is the surface area.

Find the 111th term and nth rule 7,4,1,-2...​

Answers

Answer/Step-by-step explanation:

We can create a function for this. Since this is linear, we can use y=mx+b.

y=-3x+7

Plug in 111 for x.

y=-3(111)+7

y=-333+7

y=-326.

-326

what are the solutions to this polynominal when s(x)=0? S(X)= (3x^2+17x +10)(x-7)(4x-3)

Answers

Answer:

-5, -2/3, 7, 3/4

Step-by-step explanation:

The solutions of S(x) = 0 satisfy one of the equations:

3x^2 + 17x + 10 = 0, x - 7 = 0, 4x - 3 = 0

The latter two are straightforward to solve:

x = 7 and x = 3/4

We now factor 3x^2 + 17x + 10 = 0

Note 10 = 5 * 2, 3 = 3 * 1 and 3 * 5 + 2 - 17.

So, we can factor it as (3x + 2) (x + 5) = 0

Thus, we also have solutions -2/3, -5.

Write a polynomial in standard form that meets the following conditions. Assume a=1 and your function is f(x), The zeros are 5 and -4

Answers

Polynomials are equations that uses variables and several terms

The polynomial in standard form is f(x) = x^2 - x -20

How to determine the polynomial

The polynomial has 2 zeros.

So, the form of the polynomial is:

f(x) = a(x - x1)(x - x2)

The zeros of the polynomial are 5 and -4.

So, the equation becomes

f(x) = a(x - 5)(x + 4)

The value of a = 1.

So, we have;

f(x) = 1(x - 5)(x + 4)

This gives

f(x) = (x - 5)(x + 4)

Expand

f(x) = x^2 - x -20

Hence, the polynomial in standard form is f(x) = x^2 - x -20

Read more about polynomials at:

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What is the explicit formula for this sequence?
-7, -3, 1, 5,

Answers

Step-by-step explanation:

-7, -3, 1, 5, ...

To get to -3 you must add 4.

To get to 1 you must add 4.

To get to 5 you must add 4.

The formula/rule is to add 4.

A spinner has 8 sectors with the colors red, white, red, blue, yellow, green, red, and white. What is the probability the spinner lands on a color in the American flag?

Answers

Answer:

The will most likely land on the american flag

Step-by-step explanation:

What are the next three terms of the arithmetic sequence -18, -13, -8, -3,…? a. -8, -13, -18 c. 2, 7, 12 b. 3, 8, 13 d. 0, 5, 10 Please select the best answer from the choices provided A B C D

Answers

Answer:

the correct answer is c)2,7,12

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