Answer:
x=55
Step-by-step explanation:
The angles are corresponding angles and corresponding angles are equal
3x-60 = x+50
Subtract x from each side
3x-60-x = x+50-x
2x-60 =50
Add 60 to each side
2x-60+60=50+60
2x=110
Divide by 2
2x/2 =100/2
x =55
The owner of two local restaurants has decided to randomly sample customers and gather feedback from the customers regarding the restaurants' cleanliness, service, and food quality. Over the course of five nights, five customers from each restaurant are randomly asked to fill out a survey, rating the restaurant on the three categories and using a scale from 1 to 5. A rating of 1 represents a very poor customer experience, and a rating of 5 represents an excellent customer experience. After five nights, the restaurant owner organizes and records the data, making a table for each restaurant.
Restaurant A
Cleanliness Service Food Quality
4, 3, 5, 4, 3, 4, 5, 4, 4, 2, 1, 4, 1, 2, 3, 2, 3, 2, 2, 5, 4, 4, 3, 5, 4 1, 5, 2, 1, 5, 1, 2, 5, 4, 4, 3, 1, 3, 4, 5, 3, 5, 4, 2, 1, 5, 4, 1, 1, 3 5, 4, 1, 1, 3, 5, 3, 3, 3, 4, 4, 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 1
Restaurant B
Cleanliness Service Food Quality
4, 4, 2, 1, 4, 4, 2, 3, 5, 1, 5, 3, 2, 2, 2, 3, 1, 2, 2, 4, 2, 2, 3, 2, 2 3, 2, 4, 5, 3, 3, 2, 5, 3, 5, 1, 3, 1, 3, 1, 2, 4, 3, 3, 2, 4, 4, 1, 3, 5 1, 3, 3, 4, 5, 4, 2, 3, 5, 2, 4, 3, 2, 4, 4, 4, 1, 2, 5, 5, 5, 3, 5, 4, 1Calculate the mean absolute deviation of the Restaurant A's service ratings. [Note: Type your answer as a number. Do not round.]
MAD =
help please
Answer:
1.36
1. Find the mean of all values. (3)
2. Find the distance of each value from that mean (subtract the mean from each value, ignore minus signs)
3. Find the mean of those distances.
Answer:1.36
Step-by-step explanation:
help last question A semicircular mat has a diameter of 18 m. What is the area of the mat?
Answer:
127.2
Step-by-step explanation:
The area of a semicircle is:
[tex]\frac{\pi r^{2} }{2}[/tex]
So to figure it out we first find the diameter:
18÷2=9
Then we plug it into the equation
[tex]\frac{9^{2}\pi }{2} = \frac{81\pi}{2}[/tex] Which we can put into a calculator to get 127.2345... so we round to 1 d.p to get our answer, 127.2 (the fifth digit, 3, rounds down)
Describe and explain the possible values of s, the number of student tickets sold, and e, the number of tickets sold to nonstudents.
Answer:
(20,0) , (0,16) , (5,12) , (10,8) , (15,4)
Step-by-step explanation:
Total amount of tickets sold = 80
Per ticket price for students = 4 ; Per ticket price for non students = 5
Let no. of students be s , no. of non students be x
Equation : 4s + 5x = 80
So, Maximum number of student tickets sold (assuming all student, no 'non student' tickets) = 80 / 4 = 20
Maximum number of non student tickets sold (assuming all 'non student', no 'student' tickets) = 80 / 5 = 16
Other possible values {s,x} , as per equation = (5,12) , (10,8) , (15,4)
hi, I need mo ney for food anything helps its been such a struggle since co vid hit.
Answer:
get a job....
Helppppppp
1. Which of the following equations are written in proper slope-intercept form?
y = -x + 9
4y = 2x - 1
x + y = 10
3x + 7y = 0
Answer:
a. y = -x + 9
Step-by-step explanation:
slope-intercept form is
y = mx + b
so of the options, only option a follows slope-intercept form.
hope this helps!
which of these decimal numbers is equivalent to 87?
0.87
8.70
87.00
870.0
Answer: if its 87% then its 0.87, but if its 87 then its 87.00
Step-by-step explanation: I'm doing these questions for a challenge :D
Explain if this student has made a mistake. Explain what the mistake was and how you would fix it. include the right answer
Answer:
Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]
How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]
[tex] x = \frac{1}{2} [/tex] (correct answer)
Step-by-step explanation:
The student solved the problem correctly up to the second step where 6 was added to both sides of the equation.
The mistake he made was in his division.
Thus, instead of dividing both sides by 8, he divided both sides by 4, which is incorrect.
Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]
How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]
[tex] x = \frac{1}{2} [/tex] (correct answer)
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
(sin 9x)'
what is the derivative of sin 9x
Answer:
[tex]\displaystyle \frac{d}{dx}[\sin(9x)] = 9 \cos(9x)[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y = \sin(9x)[/tex]
Step 2: Differentiate
Trigonometric Differentiation [Derivative Rule - Chain Rule]: [tex]\displaystyle y' = \cos(9x)(9x)'[/tex]Rewrite [Derivative Property - Multiplied Constant]: [tex]\displaystyle y' = 9 \cos(9x)(x)'[/tex]Basic Power Rule: [tex]\displaystyle y' = 9 \cos(9x)[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
hello please help i’ll give brainliest
I will mark you brainlist!
Answer:
1. 2 runners
2. 25 runners
3. 24%
4. 15 runners
5. 60%
6. uh I think it's asking the same thing as 3, so 24%?
The sports store sells 5 t-shirts and 10 pairs of shorts for 132.50. The next day they sell 3 t-shirts and 5 pairs of shorts for 69.50. What is the cost of a t-shirt?
Answer:
A) 5t + 10s = 132.50
B) 3t + 5s = 69.50
We multiply B) by -2
B) -6t -10s = -139.00 then we add A)
A) 5t + 10s = 132.50
-t = -6.50
t-shirt price = 6.50
Source: http://www.1728.org/unknwn2.htm
Step-by-step explanation:
If 2x• 3x +(2•3 )x +6x= 648, find x.
Answer:
x = -1 ± √109
Step-by-step explanation:
2x • 3x + (2 • 3)x + 6x = 648
According to PEMDAS (parentheses/exponents | multiplication/division | addition/subtraction), we should solve the parentheses first.
(2 • 3) = 6
Now we have:
2x • 3x + (6)x + 6x = 648
Now let's multiply.
2x • 3x = 6x²
6 • x = 6x
Now we have.
6x² + 6x + 6x = 648
Combine like terms.
6x² + 12x = 648
Let's factor out a 6.
6(x² + 2x) = 648
Divide both sides by 6.
x² + 2x = 108
Let's use completing the square.
Our equation is in a² + bx = c form.
Divide b by 2.
2/2 = 1
Then square it.
1² = 1
Add 1 to both sides.
x² + 2x + 1 = 108 + 1
Simplify.
x² + 2x + 1 = 109
Now we want to factor the left side. A shortcut is just to use b/2.
(x + 1)² = 109
Take the square root of both sides.
x + 1 = ±√109
The square root is as simplified as possible.
Subtract 1 from both sides.
x = -1 ± √109
Hope this helps!
Can someone please help me with this?
Answer:
Choice C
Step-by-step explanation:
Rational numbers are any number that can be written as a quotient or fraction.
Lee can type 300 words in 6 minutes what is his rate per minute
Answer:
300 words in 6 minutes
300/6 words in 1 minutes
50 words in 1 minutes
Therefore,Lee can type 50 words in 1 minute.
hey! please help i’ll give brainliest
Answer:
all of these
Step-by-step explanation:
Answer:
All of these
Step-by-step explanation:
Am = ex. I am playing tennis
Is = ex. She is playing tennis
Are = ex. We are playing tennis
Hope this helps :)
PLEASE HELP
Which of the following will form the composite function G(Ax)) shown
below?
GAx)) = (x + 1)3 - 6
O A. Ax) = x+1 and G(x) = x3 - 6
B. Ax) = (x + 1)2 and G(x) = -6
O c. Ax) = x - 6 and G(x) = (x + 1)3
D. Ax) = x3 - 6 and G(x) = x + 1
Answer:
A
Step-by-step explanation:
check the above attachment to verify the answer.
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
☆ Emily has $16 more
Step-by-step explanation:
FOR JAXON:
You want to calculate the interest on $600 at 2.5% interest per year after 3 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $600.00.
r is the interest rate, 2.5% per year, or in decimal form, 2.5/100=0.025.
t is the time involved, 3....year(s) time periods.
So, t is 3....year time periods.
To find the simple interest, we multiply 600 × 0.025 × 3 to get that:
The interest is: $45.00
Usually now, the interest is added onto the principal to figure some new amount after 3 year(s),
or 600.00 + 45.00 = 645.00.
Jaxon will have $645 after he closes his account.
FOR EMILY
You want to calculate the interest on $600 at 5.1% interest per year after 2 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $600.00.
r is the interest rate, 5.1% per year, or in decimal form, 5.1/100=0.051.
t is the time involved, 2....year(s) time periods.
So, t is 2....year time periods.
To find the simple interest, we multiply 600 × 0.051 × 2 to get that:
The interest is: $61.20
Usually now, the interest is added onto the principal to figure some new amount after 2 year(s),
or 600.00 + 61.20 = 661.20.
Emily will have $661 when she closes her account.
☆ Therefore, Emily will have $16 more than Jaxon.
I would really appreciate if you would mark me brainliest!!
I hope you have a good day!!! ☆ :D
how to solve -6/ 2/3 (use inverse operations to solve it) please explain!
2sinx^2 =sin x+3
Solve for the solutions
Answer:
x = 3/2 π (270°)
Step-by-step explanation
2sin²x =sin x+3
2sin²x - sin x - 3 = 0
(sin x + 1) (2sin x - 3) = 0
-1 ≤ sin x ≤ 1
sin x = -1
x = 3/2 π (270°) or -π/2 + 2kπ (k = ..., -1, 0 , 1, ...)
13−4 / 27−24 its to short again hi
Answer:
-301/27
Step-by-step explanation:
Please help me out tired want to sleep
Answer:
The approximate area by Riemann Sum of the curve is represented by [tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex].
Step-by-step explanation:
The area below the curve is estimated by the concept of Riemann Sum with right endpoint rectangles, which is defined by the following formula:
[tex]A = \left(\frac{\Delta x}{n} \right) \cdot \Sigma \limits_{t = 1}^{n} g\left (x_{o} + \frac{\Delta x}{n}\cdot t \right)[/tex] (1)
Where:
[tex]A[/tex] - Area below the curve, in square units.
[tex]n[/tex] - Number of rectangles, no units.
[tex]x_{o}[/tex] - Lower bound of the interval, in units.
[tex]\Delta x[/tex] - Length of the interval, in units.
[tex]t[/tex] - Summation index.
If we know that [tex]g(x) = 2\cdot x^{3} - 4[/tex], [tex]n = 10[/tex], [tex]x_{o} = 2[/tex] and [tex]\Delta x = 4[/tex], then the area below the curve is represented by the following equation:
[tex]A = 0.4\cdot \Sigma\limits_{t = 1}^{n} [2\cdot (2+0.4\cdot t)^{3} - 4][/tex]
The function y=0.18x+0.15 represents the percent y (in decimal form) of battery power remaining x hours after you plug in a laptop computer. Identify and interpret the slope. \
Step-by-step explanation:
Given
Function is [tex]y=0.18x+0.15[/tex]
where,
[tex]y=\text{Percent of the battery remaining}\\x=\text{time in hours}[/tex]
Comparing the given function with the standard slope-intercept form of the equation [tex]y=mx+c[/tex]
Here, before plugging into the laptop, the percentage of battery is
[tex]y=0.18\times 0+0.15\\y=0.15\ \text{or}\ 15\%[/tex]
The slope of the given function is [tex]0.18[/tex] i.e. in one hour it charges 18% of battery.
Write the expression as the
sine or cosine of an angle.
cos 3x cos x - sin 3x sin x
The solution of the expression will be Cos(3x+x).
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
Cos 3x os x - Sin 3x Sin xThe solution will be calculated by using the formula:-
Cos(A+B) = (CosA CosB - SinA SInB)
Cos(3x+x). = Cos 3x os x - Sin 3x Sin x
Therefore the solution of the expression will be Cos(3x+x).
To know more about expression follow
https://brainly.com/question/723406
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Help me on this one too please
Answer:
12. False True True False
13. Table A: f(x)=9 x=-1
Step-by-step explanation:
for table B and C the data is blurry so I cannot tell. try using math.way
Answer:
12. False, True, True, True
13. Table A, Table C, Table B
i need help with this pleaseee
Answer:
answer: 1/64 of 1.6%
Step-by-step explanation:
The answer is this because the probability of the spinner landing on green is 2/8 now that multiplied by itself 3 times equals 1/64 so 1/64 is the probability hope that helps!
roma selects cards from a standard of 52 cards. Once a card is selected, it is not replaced. Find the probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Given:
A card is selected randomly from a standard deck of 52 cards.
To find:
The probability of each outcome.
a. a king of heart
b. a queen of spades
c. an ace of flower
d. an ace of diamond
Solution:
In a standard deck of 52 cards.
Total number of cards = 52
13 cards of each suit (heart, diamond, club, spade).
13 cards are Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.
a. We need to find the probability of getting a king of heart.
Number of king of heart = 1
[tex]P(\text{a king of heart})=\dfrac{\text{Number of king of heart}}{\text{Total cards}}[/tex]
[tex]P(\text{a king of heart})=\dfrac{1}{52}[/tex]
b. We need to find the probability of getting a queen of spades.
Number of queen of spades = 1
[tex]P(\text{a queen of spades})=\dfrac{\text{Number of queen of spades}}{\text{Total cards}}[/tex]
[tex]P(\text{a queen of spades})=\dfrac{1}{52}[/tex]
c. We need to find the probability of getting an ace of flower (spades).
Number of ace of flower = 1
[tex]P(\text{an ace of flower})=\dfrac{\text{Number of ace of flower}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of flower})=\dfrac{1}{52}[/tex]
d. We need to find the probability of getting an ace of diamond.
Number of ace of diamond = 1
[tex]P(\text{an ace of diamond})=\dfrac{\text{Number of ace of diamond}}{\text{Total cards}}[/tex]
[tex]P(\text{an ace of diamond})=\dfrac{1}{52}[/tex]
Therefore, the required probabilities for each parts are:
(a) [tex]\dfrac{1}{52}[/tex]
(b) [tex]\dfrac{1}{52}[/tex]
(c) [tex]\dfrac{1}{52}[/tex]
(d) [tex]\dfrac{1}{52}[/tex]
The probabilities for each of the given selections are;
A) 1/52
B) 1/52
C) 1/52
D) 1/52
What is the Probability?A) Since total number of cards in the deck is 52 and there is only one king of heart, then;
Probability of selecting a king of heart = 1/52
B) Since total number of cards in the deck is 52 and there is only one queen of spades, then;
Probability of selecting a queen of spade = 1/52
C) Since total number of cards in the deck is 52 and there is only one ace of flower, then;
Probability of selecting an ace flower = 1/52
D) Since total number of cards in the deck is 52 and there is only one ace of diamond, then;
Probability of selecting am ace of diamond = 1/52
Read more about Probability at; https://brainly.com/question/25870256
19
Work out the highest common factor (HCF) of 75 and 105
The Greatest Common Factor (GCF) for 75 and 105, notation CGF(75,105), is 15. Explanation: The factors of 75 are 1,3,5,15,25,75; The factors of 105 are 1,3,5,7,15,21,35,105.
THANKS!
FROM CAMBRIDGE UNIVERSITY
:)
The highest common factor (HCF) of 75 and 105 is 15.
The factor of a number is a number that can divide another number perfectly without any remainder.
Factors of 75 are 1, 3, 5, 15, 25, 75 Factors of 105 are 1, 3, 5, 7, 15, 21, 35 and 105.Common factors of 75 and 105 are 1,3, 4, 15The highest common factor is 15.
A similar question was answered here: https://brainly.com/question/19039202
The first sequence rule is add 4 starting from 15. The second sequence rule is add 3 starting from 18. What is the first number that appears in both sequences?
Answer: 27
Step-by-step explanation:
Given
In the first sequence, the first term is [tex]a_1=15[/tex]
Common difference is [tex]d_1=4[/tex]
In the second sequence, the first term is [tex]b_1=18[/tex]
Common difference is [tex]d_2=3[/tex]
The nth term of the sequence is [tex]a_n=a+(n-1)d[/tex]
for the same number to appear on both sequence, the nth term must be equal
[tex]\Rightarrow 15+(n-1)4=18+(n-1)3\\\Rightarrow 3=(n-1)\\\Rightarrow n=4[/tex]
Put n=4
[tex]\Rightarrow 15+(4-1)4\\\Rightarrow 15+12=27[/tex]
Therefore, 27 is the first common term in both sequences.
The table below shows the number of minutes played (x) by various basketball players and the number of rebounds (y) they had.
Scatter plot that has 2 through 20 for x and 1 through 10 for y.
a. Draw a scatter plot of the data. Label the axes.
b. Find an equation for a line of best fit.
c. Use your equation from part b above to predict how many rebounds a player would have if they played 30 minutes in the game.
I will give all my points to the first person that answers.
Answer:
A
Step-by-step explanation:
WILL MARK YOU BRAINLIEST PLEASE HELP ASAP
Answer:
29.5m because it is rectangular finger and one path is loss .loss Parth is triangle