Answer:
~181 containers filled completely, 6 eggs left over
Step-by-step explanation:
2178 ÷ 12 (a dozen, the number of eggs per container) = 181.5 containers
181 × 12 = 2,172 eggs
2,178 eggs - 2,172 = 6 eggs left over
Questione Simplify Cosa + 2Cos(a +240")
Step-by-step explanation:
[tex] \cos(a) + 2 \cos(a + 240) [/tex]
[tex] \cos(a) + 2 \cos(a) \cos(240) - \sin(a) \sin(240) [/tex]
[tex] \cos(a) + 2( - \frac{ \cos(a) }{2} + \frac{ \sqrt{3} }{2} \sin(a) )[/tex]
[tex] \cos(a) - \cos(a) + \sqrt{3} \sin(a) [/tex]
[tex] \sqrt{3} \sin(a) [/tex]
If you graph the new identity, and the og identiy, they will be conciding graphs, so they are the same identity.
Mr. Turner has two Algebra 1 classes. With one class, he lectured and the students took notes. In the other class, the students worked in small groups to solve math problems. After the first test, Mr. Turner recorded the student grades to determine if his different styles of teaching might have impacted student learning.
Class 1: 80, 81, 81, 75, 70, 72, 74, 76, 77, 77, 77, 79, 84, 88, 90, 86, 80, 80, 78, 82
Class 2: 70, 90, 88, 89, 86, 86, 86, 86, 84, 82, 77, 79, 84, 84, 84, 86, 87, 88, 88, 88
1. Analyze his student grades by filling in the table below. Which class do you think was the lecture and which was the
small group? Why?
Q1 Q2 IQR Mean Median MAD
Class 1 76.25 81.75 5.5 79.35 79.50 3.12
Class 2 84 88 4 84.60 86 3.85
What is Q1, Q3, IQR, Mean, Median and the MAD?The first step is to arrange the grades in the classes in ascending order.
Class 1: 70, 72, 74, 75, 76, 77, 77,77, 78, 79, 80, 80, 80, 81, 81, 82, 84, 86, 88, 90
Class 2: 70, 77, 79, 82, 84, 84, 84, 84, 86, 86, 86, 86, 86, 87, 88, 88, 88, 88, 89, 90
Q1 for class 1= 1/4(n + 1) = 21/4 = 5.25 = 76.25
Q2 for class 2 = 1/4(n + 1) = 5.25 = 84
Q3 for class 1= 3/4(n + 1) = 15.75 = 81.75
Q3 for class 2 = 3/4(n + 1) = 15.75 = 88
IQR for class 1 = Q3 - Q1 = 81.75 - 76.25 = 5.50
IQR for class 2 = Q3 - Q1 = 88 - 84 = 4
Mean for class 1 = sum of grades / total number of grades = 1587 / 20 = 79.35
Mean for class 2 = sum of grades / total number of grades= 1692 / 20 = 84.6
Median for class 1 = (n + 1) / 2 = 21/2 = 10.5 = 79.50
Median for class 1 = (n + 1) / 2 = 21/2 = 10.5 = 86
MAD = [tex]\frac{1}{n}[/tex]∑ l x - m(x) l
Where: n = number of observations
x = number in the data set
m = mean
Mean absolute deviation for class 1 = 62. 3/ 20 = 3.12
Mean absolute deviation for class 2. = 77/ 20 = 3.85
To learn more about median, please check: https://brainly.com/question/20434777
write 82/10 as a mixed number in simplest terms brainly
A) 8 2/10
B) 10 1/4
C) 8 1/5
D) 2 4/5
Answer:
C) 8 1/5
Step-by-step explanation:
82/10= 8 2/10= 8 1/5
Answer:
A) 8 2/10
Step-by-step explanation:
10 goes into 82 8 times with a remainder of 2
8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93
que chingue a su madre la jimena.
Step-by-step explanation:
Carolyn bought 9 feet of copper pipe for 54$ what was the cost of each foot of copper pipe?
Answer:
54÷9= 6
so its $6 a foot of copper
Determine the lateral and total surface area
of the regular triangular pyramid.
15 cm
13 cm
Lateral Surface Area
Total Surface Area
The areas of the square pyramid are the amount of space on it
The lateral surface area is 292.5 square cmThe total surface area is 354.85 square cmHow to determine the lateral surface area?The given parameters are:
Base (b) = 15 cm
Slant height (l) = 13 cm
The lateral surface area is calculated using:
L = 1.5bl
So, we have:
L = 1.5 * 15 * 13
Evaluate the product
L = 292.5
How to determine the total surface area?This is calculated using:
T = L + 0.25√3b^2
So, we have:
T = 292.5 + 0.25√3 * 12^2
Evaluate
T = 354.85
Hence, the total surface area is 354.85 square cm
Read more about areas at:
https://brainly.com/question/24487155
Pls help! ASAP [tex] [/tex]
Answer:
BC
Seg AC
Ray KM
Find sin(2x), cos(2x), and tan(2x) from the given information.
sin(x) = [tex]-\frac{3}{5}[/tex] for [tex]\frac{3\pi }{2}[/tex] < x < 2
I assume 3π/2 < x < 2π, so that x is in the 4th quadrant. For angles x terminating in Q4, we have sin(x) < 0 and cos(x) > 0, so tan(x) = sin(x)/cos(x) < 0.
This means that, using the Pythagorean identity,
cos(x) = + √(1 - sin²(x)) = 4/5
tan(x) = (-3/5) / (4/5) = -3/4
Recall the double angle identities:
sin(2x) = 2 sin(x) cos(x) = 2 (-3/5) (4/5) = -24/25
cos(2x) = 2 cos²(x) - 1 = 2 (4/5)² - 1 = 7/25
tan(2x) = 2 tan(x) / (1 - tan²(x)) = 2 (-3/4) / (1 - (-3/4)²) = -24/7
integrate the following by parts |xcos x dx
[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]
Helpppppppppppppppp
find x
Answer:
Answer is √2+11/2
And you can use calculator to get even more accurate answer though...
Step-by-step explanation:
this is what i get i hope this will hepl you ♡
Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation. y = x squared + 2 x + 10 a. (1, 9) c. (1, 10) b. (-1, 10) d. (-1, 9)
Step-by-step explanation:
Answer: its d
Step-by-step explanation:
Les gusta mi dibujo a mano con lapiz y papel
Está bonito, solo algunos detalles, pero con practica creeme que va estar mejor. Los dedos de las manos hay que trabajar más, ¡Está bonito!
Find each difference vertically.
3. (2x ^2 – 2x ^4) — (x4 – x2)
Answer:
answer: -2x^4 +2x^2-2x
I. Elena wants to estimate what proportion of computers produced at a factory have a certain defect. A random sample of 200 computers shows that 12 computers have the defect. She is willing to assume independence between computers in the sample. Based on this sample, construct a 95% confidence interval for the proportion of computers that have the defect.
a
(0.4529, 0.5871)
b
(0.02709, 0.09291)
c
(0.02131, 0.09869)
d
(0.0309, 0.0691)
You roll a 6-sided die. What is P(divisor of 12)? Write your answer as a fraction or whole number.
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
The divisors of 12 that are ≤12 are 1, 2, 3, 4, and 6. The probability that the roll of a dice will be a divisor of 12 is 5/6.
Answer:
Step-by-step explanation:
5/6
Solve for the unknown side and find perimeter of the figure below note that the figure is not drown to scale.
Answer:
[tex]x = 12\ m,\ perimeter = 63\ m[/tex]
Step-by-step explanation:
Step 1: Determine x
[tex]\frac{15\ m}{10\ m} = \frac{x}{8\ m}[/tex]
[tex](15\ m*8\ m) = (10\ m * x)[/tex]
[tex]120\ m^2 / 10\ m = x * 10\ m / 10\ m[/tex]
[tex]12\ m = x[/tex]
Step 2: Determine the perimeter of the figure
[tex]18\ m + 15\ m + 10\ m + 8\ m + 12\ m[/tex]
[tex]63\ m[/tex]
Answer: [tex]x = 12\ m,\ perimeter = 63\ m[/tex]
PLEASE HELP ILL GIVE THANKS, 5.0, AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY PLEASE HELP AND ILL GIVE A HIGH POINT COUNT
Sophie bikes at a
speed of s miles per hour. Her friend Rana is slower, her biking
speed 1S only r miles per hour.
Today the girls went for 20 miles trip, each girl was biking at her usual speed. How
long did Sophie wait for Rana after her own arrival to the finish?
Answer:
if Rama road 1 mph Sophie waited (20-4) = 16 hours
Step-by-step explanation:
Sophie road 5 mph for 20 miles
distance = rate of speed times time traveled
d = st
20 =5t
t = 20/5 = 4 hours
Rana road r mph for 20 mile
d=rt
20=rt
t =20/r
Sophie waited 20/r - 4 hours
20/r -4 = (20-4r)/r
if Rana road at 4 mph, Sophie waited (20-4(4))/r = 4/4 = 1 hour
If Rana road at 3 mph, Sophie waited (20-4(3))/3 = 8/3 = 2 hours 40 minutes
if Rama road at 2 mph Sophie waited (20-4(2))/2 = 12/2 = 6 hours
if Rama road 1 mph Sophie waited (20-4) = 16 hours
answer for this question. Thank you!
PLS HELPPPPPPPPP Jake is eating cereal he counts how much cereal he has. He has 78 and eats 56 how much does he have left.
Answer:
22
Step-by-step explanation:
78-56 5 goes in to 7 2 times so 2 is th tens diget 8-6=2 so the answer is 22
Nolan drew a pre-image of a trapezoid using a dashed line. Which shows an isometric transformation of his pre-
image??
Answer:
C
Step-by-step explanation:
i just guessed but it was correct
The difference between the supplement of an angle and twice its complement is 28°, find the measure of the supplement of the angle.
Answer:
152°
Step-by-step explanation:
Supplementary angles are two angles that sum to 180°
Complementary angles are two angles that sum to 90°
Let x° = the angle
⇒ Supplement of the angle = 180° - x°
⇒ Complement of the angle = 90° - x°
The difference between the supplement of an angle and twice its complement is 28°:
⇒ (180 - x)° - 2(90 - x)° = 28°
⇒ 180 °- x° - 180° + 2x° = 28°
⇒ x = 28°
Therefore, the measure of the supplement of 28° is:
180° - 28° = 152°
What Is the area in a triangle 9m 11m?
Answer:
49.5
Step-by-step explanation:
area of triangle = (b x h) / 2
9 x 11 = 99
99 / 2 = 49.5
Hope this helps!
- profparis
solve the following pair of equations by elimination method: x+y=4, 2x+y=3
Answer:
x = 1
y = 5
Step-by-step explanation:
x + y = 4 __ (1)
2x + y = 3 __ (2)
equation (1) x 2, (2) x 1
2x + 2y = 8
2x + y = 3
0 + y = 5
y= 5 (ANS)
x + y = 4
x + 5 = 4
x = 5 - 4
x = 1 (ANS)
I HOPE MY ANSWER IS CORRECT IF NOT I APOLOGIZE.
10) Complete the net worth statement by determining the total assets and total liabilities. What is the net worth? A) $178,000 B) $180,338 C) $1,052,662 D) $1,233,000
Answer:
C) $1,052,662
Step-by-step explanation:
Sorry the answer was late and also this is the right answer because i did the test
the length of a rectangle is 10 cm and its width is 2 cm less than 1/2 of its length. find the area of the rectangle
Answer:
A=wl=3·10=30
A=30
Step-by-step explanation:
which number doesn't belong?
21, 18, 16, 7, 6
18, 10, 13, 11, 16
2, 16, 9, 7, 17
11, 16, 4, 8, 2
6, 9, 11, 15, 18
19, 9, 14, 8, 11
Answer:
21
Step-by-step explanation:
Most of the numbers are within the same range. Then you have 21 which is slightly out of range from the next highest 19.
mean of 39,82,74,96,64,52,74
In a recent poll, 50 teenagers were asked do they exercise regularly. 35% of them said they do exercise regularly? What is the random Variable?
Step-by-step explanation:
In a recent poll, 50 teenagers were asked do they exercise regularly. 35% of them said they do exercise regularly? What is the random Variable?
if x+y = -10 and x-y = 2 what is the value of x
Answer:
x = -4
Step-by-step explanation:
The solution to a "sum and difference" system of equations can be found by adding the equations together.
(x +y) +(x -y) = (-10) +(2)
2x = -8 . . . . . . simplify
x = -4 . . . . . . . divide by 2
_____
Additional comment
y = -6, though this question did not ask that value.
4
Which equation does not have a solution?
A. -3d + 7 = -9
B. 8d + 7 = -4(-2d - 4)
C. 54+ 15 = 15
D. 2(d' + 6) = -2d - 12
Answer:
Option BStep-by-step explanation:
A.)
➝ -3d + 7 = -9
➝ -3d = -7 - 9
➝ -3d = -16
➝ d = -16/-3
➝ d = 16/3
Solution is d = 16/3B.)
➝ 8d + 7 = -4(-2d - 4)
➝ 8d + 7 = 8d + 16
➝ 8d - 8d = 16 - 7
➝ 0 = 9
It has no solution.C.)
➝ 5d + 15 = 15
➝ 5d = 15 - 15
➝ 5d = 0
➝ d = 5/0
➝ d = 0
Solution is d = 0D.)
➝ 2(d + 6) = -2d - 12
➝ 2d + 12 = -2d -12
➝ 2d + 2d = -12 -12
➝ 4d = 24
➝ d = 24/4
➝ d = 6
Solution is d = 6Hence,
(Option B) 8d + 7 = -4(-2d - 4) has no solution.