Answers
=========================================================
Explanation:
We're told that there are 50 people in each grade that are surveyed. So that means 50 eighth graders were surveyed.
Add up the values along the bottom row. Set the sum equal to 50 and solve for m
m+8+29 = 50
m+37 = 50
m = 50-37
m = 13
Then note how 13+8+29 = 50 along the bottom row. Also, for the top row we have 17+15+18 = 50 as well.
Answer:
A - 13
Step-by-step explanation:
50 (8th graders) - 8 (tiling lovers) - 29 (carpeting lovers) = 13 (wooden floor lovers)
Related Questions
The exponential function g, represented in the table, can be written as g(x) = a.6".
х
g(x)
0
8
1
10
Complete the equation for g(x).
Answers
Answer:
Is this the full question?
1250
€ 125oo
Q8 A taxi company charges £5 standing charge and £1.50 per mile for a journey.
A man travels in a taxi for 12.2 miles.
What is the cost of his journey?
Show your working
Answers
Answer:
£23.30
Step-by-step explanation:
First, find the cost from traveling 12.2 miles. Since the cost is £1.50 per mile, multiply 12.2 by 1.5:
12.2(1.5)
= 18.3
Add the standing charge to this:
18.3 + 5
= 23.3
So, the cost of his journey is £23.30
Which of the following statistics measures the variability of a distribution?
A) Mean
B) Median
C) Mode
D) Range
Answers
Answer:
B
Step-by-step explanation:
B is the answer .
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
[tex]{\boxed{\boxed{\tt { D. \ Range}}}} \ [/tex]
Step-by-step explanation:
The mean, median and mode are central tendency measures. Statisticians use range to describe the amount of variability or spread in a set of data.
⋆┈┈｡ﾟ❃ུ۪❀ུ۪❁ུ۪❃ུ۪❀ུ۪ﾟ｡┈┈⋆
Consider the following functions. (See attachment)
Find the area of the region.
Answers
Answer:
Area: [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationGraphing FunctionsExponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Derivative of a constant is 0
Area - Integrals
Area under a curveArea between 2 curvesIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Addition/Subtraction]: [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]
U-Substitution
Area of a Region Formula: [tex]\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify functions
[tex]\displaystyle f(x) = \sqrt[3]{x - 9}[/tex]
[tex]\displaystyle g(x) = x - 9[/tex]
Step 2: Identify Info
Graph the functions - See Attachment
[1st Integral] Bounds: [8, 9], g(x) top function/f(x) bottom function
[2nd Integral] Bounds: [9, 10], f(x) top function/g(x) bottom function
Step 3: Find Area Pt. 1
Set up integrals [Area of a Region Formula]: [tex]\displaystyle A = \int\limits^9_8 {[(x - 9) - \sqrt[3]{x - 9}]} \, dx + \int\limits^{10}_9 {[\sqrt[3]{x - 9} - (x - 9)]} \, dx[/tex]Rewrite integrals [Integration Property - Addition/Subtraction]: [tex]\displaystyle A = \int\limits^9_8 {(x - 9)} \, dx - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \int\limits^{10}_9 {(x - 9)} \, dx[/tex]Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = (x^2 - 9x) \bigg| \limits^9_8 - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - (x^2 - 9x) \bigg| \limits^9_8[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = \frac{-1}{2} - \int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - \frac{1}{2}[/tex]Subtract: [tex]\displaystyle A = -\int\limits^9_8 {\sqrt[3]{x - 9}} \, dx + \int\limits^{10}_9 {\sqrt[3]{x - 9}} \, dx - 1[/tex]Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle A = -\int\limits^9_8 {(x - 9)^{\frac{1}{3}}} \, dx + \int\limits^{10}_9 {(x - 9)^{\frac{1}{3}}} \, dx - 1[/tex]Step 4: Identify Variables
Identify variables for u-substitution.
u = x - 9
du = dx
Step 5: Find Area Pt. 2
[Integrals] U-Substitution: [tex]\displaystyle A = -\int\limits^0_{-1} {u^{\frac{1}{3}}} \, du + \int\limits^1_0 {u^{\frac{1}{3}}} \, du - 1[/tex][Integrals] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle A = -(\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^0_{-1} + (\frac{3}{4}u^{\frac{4}{3}}) \bigg| \limits^1_0 - 1[/tex]Evaluate [Integration Rule - FTC 1]: [tex]\displaystyle A = -(\frac{-3}{4}) + \frac{3}{4} - 1[/tex]Simplify: [tex]\displaystyle A = \frac{1}{2}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integrals - Area between 2 curves
Book: College Calculus 10e
A bucket holds 243.5 oz of water. The bucket loses 0.5 oz of water per second. In how many seconds will the bucket be 40% full?
Answers
Find the area of the circle.
Use 3.14 for pi
d = 10 cm
A = [?] cm2
A=Pi r2
Answers
Step-by-step explanation:
the only thing youre missing is
radius = diameter / 2
Answer:
78.54 cm squared
Step-by-step explanation:
A=πr^2
Since they only give the diameter, divide the diameter by 2
π*25 = 78.54
Have a good day :)
If you were the number keep 660 times how many times will you likely roll a two or five
Answers
Answer:
220
Step-by-step explanation:
a dice has 6 sides
660 divided by 6 = 110
you asked for 2 numbers so
110 times 2 = 220
A line goes through the points (0, -2) and (5, 18). What is the slope of the line?
Answers
Answer:
[tex]\displaystyle m = 4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (0, -2)
Point (5, 18)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{18--2}{5-0}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{20}{5}[/tex][Fraction] Divide: [tex]\displaystyle m = 4[/tex]HELP ASAP PLEASE 3 extra points if you get it right
Answers
Answer:
origin
Step-by-step explanation:
because the arrow is pointing at zero so it is the origin
make the mathematical expression and simplify.3 times the difference of 17 and 7 is divided by 5
Answers
= 3(17-7)/5
=3(10)/5
=30/5
=6
A bag contains 5 green marbles, 7 yellow marbles, 4 blue marbles, 6 pink marbles, and 3 purple marbles. If two marbles are chosen without replacement, find the probability of choosing a yellow marble, then another yellow marble. Give your answer as a fraction in simplest form.
Answers
Answer:
The probability of choosing a yellow marble then choosing another one without replacement is 1/30.
Step-by-step explanation:
First, get the total amount of marbles.
5 + 7 + 4 + 6 + 3 = 25 total marbles.
Now find the probability of finding a yellow marble.
P = 5 yellow marbles / 25 total marbles.
Now find the probability of finding a yellow marble after pulling one without replacement.
P = 4 yellow marbles / 24 total marbles.
To find the probability of both events happening, multiply the probabilities together.
(5/25) * (4/24)
Multiply the numerators and denominators.
20/600
Simplify.
1/30.
Which statement about 214° is correct?
O A. tan 214° < 0
O B. sin 214° < 0
O C. cos 214° > 0
Answers
Answer:
B.
Step-by-step explanation:
214 degree terminates in the 3rd quadrant.
Sine and cosines are both negative there.
This means that sin(214)<0 and cos(214)<0.
If sine and cosine are both negative and since tangent is the quotient of them, then tangent is positive, or tan(214)>0.
2+2=?
i dont remember this, its too complex for me someone help asap
Answers
ahem ahem
2+2=69
it's 4 thanks for the points
"HOT PIZZA" is offering 20% discount on all its pizza
Ali bought a pizza for £5.60 what was the original price
Answers
Answer:
Original price was £7.00
Step-by-step explanation:
20% discount means that ali is paying 80% of the full price
.8p = 5.60
Divide both siides by .8
p = 7
Original price was £7.00
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answers
Answer:A..the diagonal bisect perpendicular one other.Since bisectors divide the diagonals equally in two parts.
.
Answer:
D
Step-by-step explanation:
I'm not smart :)
Find the length of y
Answers
Answer:
From SOHCAHTOA
Cos17=73/y
y=73/cos17
y=76.34cm
Option B
Use the change of base formula and a calculator to approximate each logarithm. Round to
three decimal places.
log14 (16)
Answers
Answer:
[tex]1.051[/tex]
Step-by-step explanation:
The change of base formula is given by [tex]\log_a b=\frac{\log b}{\log a}[/tex]
Substituting given values, we have:
[tex]\log_{14} 16=\frac{\log 16}{\log 14}\approx \boxed{1.051}[/tex]
Helppp!
What is the solution to the equation 1x + 8 = 12?
x=1
x = 5
x= 16
x = 20
Answers
Dado que sen =9/10 y cos =8/10, encuentre los valores restantes de las cuatro funciones trigonométricas.
Answers
Answer:
tgα = 9/8
secα = 10/8
cscα = 10/9
ctgα = 8/9
Step-by-step explanation:
PAra resolver esto, es necesario conocer como se determinan las funciones trigonométricas en general. Ya tenemos el valor del seno y coseno de un angulo dado (supongamos un angulo α)
Si senα = 9/10 y cosα = 8/10, para calcular la tangente se aplica la siguiente expresión:
tgα = senα / cosα (1)
Reemplazando tenemos:
tgα = (9/10) / (8/10) Aqui se simplifican los 10, y nos queda
tgα = 9/8Nos quedan 3 funciones, y son las inversas de estas 3 funciones anteriores, y se determinan de la siguiente forma:
secα = 1 / cosα (2)
cscα = 1 / senα (3)
ctgα = 1 / tgα = cscα / secα (4)
Aplicando estas 3 expresiones tenemos:
secα = 1 / (8/10) Se aplica inversión de numerador y denominador
secα = 10/8cscα = 1 / (9/10)
cscα = 10/9ctgα = 1 / (9/8)
ctgα = 8/9Espero te sirva
The ages of eight different students in a college math class were used to make the box plot shown above. Which of the following numbers below is the median of the ages?
A. 21.5
B. 20.5
C. 22.5
D. 24.5
Answers
Bc if u go to college and take a more advanced math and your 18-19 when u graduate high school and people may take a break or look for a job then apply then u would be around 21.5
Find the vertex of the quadratic function. x²-36=f(x)
Answers
(0, -36)
Work:
Fill in the blank. Using the number line below, the plotted number is when rounded to the nearest ten.
Answers
2sqroot97x
Which value of x makes the expression above equivalent to 20 sqroot97? pls provide a step by step explanation (:
Answers
Answer:
A
Step-by-step explanation:
Need help on this one plz
Answers
Answer:
3 15/18
Step-by-step explanation:
well, 4 5/18 can't take away 8/18 with the fraction itself. so, you take 5 from 8 and get -3. then, take one whole number away and subtract the 18 from 3 (this was the negative 3) and you have the answer. so to conclude it 5 cant take away 8 so its like carrying. you take one whole number that is 18/18 and you subtract the 18 from 3.
Please help!!! DUE SOON!!
YOU WILL GET 25 POINTS!
Answers
Answer:
9. 105
10. 50
11. 55
Step-by-step explanation:
9. 180-75=m<EFB
10. 90-40=m<EGB
11. 75+50+m<FBG=180
Please help! I will give Brainliest!
Answers
Answer:
p(not L) = 7/8, 0.875, 87.5%
Step-by-step explanation:
8 letters in total
7 are not L
p(not L) = 7/8, 0.875, 87.5%
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
Answers
Answer:
1st: 105/h
2nd: 95/h
Step-by-step explanation:
10A+15B=2475 (1)
A+B=200 |*10 => 10A+10B=2000 (2)
From (1) - (2), we have 5B=475, so B=95
then A+95=200 so A is 105
Anwer this questions plz
Answers
Answer:
2
Step-by-step explanation:
brainliest blz
Answer:I believe the answer is 3 Hope this helps ^w^
Step-by-step explanation:
20/5 is 4 so 4 dollars per tank top and 35/5 is 7 so 7-4=3
A ship is 7 ft from the dock. One sailor who is standing at the front of the boat 10 ft above dock level tosses rope to another sailor who is standing on the dock to tie the boat to the dock. How is the angle of elevation for the sailor standing on the dock related to the angle of depression for the sailor standing at the front of the boat?
Answers
Answer:
ım not speak english because i'm turkish
The angle of the depression is equal to the angle of elevation for the same place.
The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
What is angle of elevation?The angle of elevation is the angle between the horizontal line and the line of sight which is above the horizontal line.
What is angle of depression?The angle of depression is the angle between the horizontal line and the line of sight which is below the horizontal line.
Given information-
The distance between the ship and dock is 7 ft.
The one sailor is standing 10 ft above the dock level.
The another sailor is standing on the dock.
The angle of depression and elevation is shown in the image.
Here the angle made by the sailor who is 10 ft above from the dock level on the ship is,
[tex]\tan \theta=\dfrac{10}{7}[/tex]
Find the value of angle as,
[tex]\theta=\tan ^-(\dfrac{10}{7})\\\theta=55[/tex]
Hence the angle of depression is 55 degree.
As the angle of the depression is equal to the angle of depression for the same place.
Thus the angle of elevation is 55 degrees.
Hence, The angle of elevation for the sailor standing on the dock is equal to the angle of depression for the sailor standing at the front of the boat which is 55 degrees.
Learn more about the angle of depression here;
https://brainly.com/question/10217662
Can someone do 11-12?