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 probabilityThe 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%
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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?
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.
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
Answer:
the correct answer is c)2,7,12
Find the surface area of the net below.
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 inTriangle
base = 8 inheight = 2 inSurface Area
SA = 3(8 x 19) + 2(0.5 x 8 x 2)
⇒ SA = 456 + 16
⇒ SA = 472 in²
What is the explicit formula for this sequence?
-7, -3, 1, 5,
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.
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
the answer to f(3)= 1/2(2)^3+1 -5 is f=3.
Hello there! I'm kinda bo-r-ed. Anyone w-anna share a story
well i was going to make an essay but i dont know how
If 64=16tsquared what is t
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]
The entire graph of the function is shown in the figure below.
Write the domain and range of using interval notation.
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
PLEASE HELP ME OUT! I'll give brainliest!!
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]
Using the net what is the total surface area of the shoe box below
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 inTo 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
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)
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
Which choice has eukaryotic plant cells?
E. coli
salmonella
muscle
carrot
I know its obvious just checking my work
Answer: the answer is d carrot
Step-by-step explanation:
i took the test
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?
Answer:
The will most likely land on the american flag
Step-by-step explanation:
Help 20:00 minutes left help
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:
i have to turn this in tire and i don't know how to do this help!!
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
what are the solutions to this polynominal when s(x)=0? S(X)= (3x^2+17x +10)(x-7)(4x-3)
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.
what is the mean range median mode
75 90 62 82 94 98 94
Answer:
the mean is 85
the range is 98-62=36
the median is 90
the mode is 94
Step-by-step explanation:
5
Σ2n + 1 1
N=1
Please help!
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
What is the total surface area of the prism?
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
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
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.
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What is the total surface area of rectangular prism?
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.
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?
Answer:
It's increased by 50% bec the change is 15 ÷ 30 = 0,5 × 100 = 50%
Find the value of x.
a) x=109
b) x=115
c) x=95
d) x=129
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
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
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 polynomialThe 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
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A ladder is 9 feet 11 inches tall. How tall is it in inches
Select the correct answer.
Which of the following is the inverse of f(x)= 3-x/5
Answer:
Step-by-step explanation:
answer is A : 3-5X
Answer:
A.
Step-by-step explanation:
mark the other person brainliest
I need the answer for the screenshot
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
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.
[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)Find the 111th term and nth rule 7,4,1,-2...
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
help me out please!!! 50 points!!!
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.