The question is an illustration of combination, and there are 1820 ways to select the 12 students
How to determine the number of selection?The distribution of the students is given as:
Senior = 7
Junior = 5
Sophomore = 4
The total number of students is:
Total = 7 + 5 + 4
Evaluate
Total = 16
To select 12 students from the 16 students, we make use of the following combination formula
Ways = 16C12
Evaluate the expression using a calculator
Ways = 1820
Hence, there are 1820 ways to select the 12 students
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The area of the entire figure below is 1 square unit. How can we describe the area of the striped rectangle?
Answer:
0.267 square units (or 8/30 square units)
Step-by-step explanation:
width = 3 rectangles
length = 10 rectangles (left to right)
area = width * length = 30 rectangles
the striped rectangle is made up of 8 regular rectangles
thus, (area we want) / (total area) = 8/30 of the whole ≈ 0.267 of the whole
the whole is 1 square unit, so 0.267 of 1 square unit = 0.267 * 1 square unit = 0.267 square units
The perimeter of an equilateral triangle with side length s is 3s. Leslie is using a wooden equilateral triangle with 15-inch sides as a stand for her newest sculpture.
What is the perimeter of the stand?
10. Which of the following situations represents a proportional relationship?....
F. A pizza is $7.95 plus $1.00 for each additional topping.
G. A pool fills at a rate of 90 gallons per hour.
H. A health club charges a $40.00 membership fee plus $25.00 per month.
J. A bank account begins with $350.00 and gains $30.00 per month.
Answer:
G A pool fills at a rate of 90 gallons per hour
Step-by-step explanation:
i dont know
I need help with this PLSSSSS
Answer:
A) The
B) Curious
C) Young
D) Science
E) Student
F) Who
G) Sat
H) Up
I) All
J) Night
K) Trying
L) To
M) Figure
N) Out
O) Where
P) The
Q) Sun
R) Goes
S) Until
T) It
U) Finally
V) Dawned
W) On
X) Him
The following shape is 1 pair of parallel sides.
What is the area of the shape?
Write a two-column proof in your journal, upload the image, and submit to your teacher.
Answer:
Step-by-step explanation:
We can prove ∠Q ≅ ∠U, by showing the triangles congruent.
Given that a pair of triangles, ΔSQR and ΔTUR, connected at the point R, in which QR ≅ RU, SR ≅ RT.
We need to prove that ∠Q ≅ ∠U,
So, to prove the same we will use the concept of congruent triangles, the type of triangles in their corresponding parts are congruent, by showing the triangles congruent we can prove ∠Q ≅ ∠U.
1) QR ≅ RU, SR ≅ RT (given)
2) ∠QRS ≅ ∠TRQ (vertical angles are congruent)
3) ΔSQR and ΔTUR (by SAS congruency rule)
4) ∠Q ≅ ∠U (CPCTC)
Hence proved.
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Two shops sell the same brand of baked beans but in different sizes of tin.
Calculate the price of 1 kg of baked beans for each shop.
Give your answers in pence.
Write the shop which is better value in the comment box.
Shop A
Shop B
BAKED
BEANS
BAKED
BEANS
5kg for £5.75
2kg for £2.12
Answer:
Step-by-step explanation:
shop a=115p
shop b=106p
shop b better value as its cheaper
Question 6 of 10
What is the slope of the line shown below?
6.9)
O A
7
O B.
OB
O c. /
OD.
ON
5
15
7
5
0.-5)
Slope = change in y / change in x
slope = (9 - -5) / ( 6-0)
Slope = 14/6
Divide by 2
Slope = 7/3
Answer: B. 7/3
Find the value of x. Please help.
Answer:
x = 55
Step-by-step explanation:
the inscribed angle x is half the measure of its intercepted arc, that is
x = [tex]\frac{1}{2}[/tex] × 110 = 55
A triangle has an angle that measures 70°. The other two angles are in a ratio of 2:9. What are the measures of those two angles?
the side view of a roof is shown below. What is x the height of the roof to the nearest tenth of a foot?
Answer:
J
Step-by-step explanation:
42/2=21 or one triangles.
Using the Pythagorean Theorem A^2+B^2=C^2
441+?=625
[tex]\sqrt{184}[/tex] or about 13.6
REEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
im not writing all that lol
Step-by-step explanation:
So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..
then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away
In how many ways can 6 policemen be assigned to 12 coaches of a passenger train if he must ride in a different coach
Answer:
665280
Step-by-step explanation:
12x11x10x9x8x7=665280
There are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
What is Probability?Probability is defined as the branch of mathematics that deals with the numerical description of how likely an event is to occur, or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, roughly where 0 indicates the improbability of the event and 1 indicates certainty.
It is based on the probable probability of something happening while the theoretical probability is based on the logic behind the probability. For example, if a coin is tossed, the theoretical probability of getting a head is ½.
In above example,
There are 6 policemen
Number of coaches assigned are 12
So, the number of ways are 12x11x10x9x8x7=665280 ways
Thus, there are 665280 ways in which 6 policemen can be appointed in 12 coaches of a passenger train if they are to ride in a separate coach.
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−13d+6≤45 Solve the inequality
Answer:
d ≤ -3
Step-by-step explanation:
Given that:
−13d + 6 ≤ 45
Solve:
Subtracting 6 from both sides
−13d + 6 ≤ 45
-6 -6
-----------------------
−13d ≤ 39
Multiply both sides by -1 which reverse the inequality
13d ≤ -39
Now divide both sides by 13
13d/13 ≤ -39/13
d ≤ -3
Thus the Answer is:
d ≤ -3
Kavinsky
Heyo!
DummySokka is here to help!!
Let's do this step-by-step explanation!
Let's solve your inequality step-by-step:
[tex]-13d+6[/tex] ≤ [tex]45[/tex]
Step 1: Subtract 6 from both sides:
[tex]-13d+6-6[/tex] ≤ [tex]45-6[/tex]
[tex]-13d[/tex] ≤ [tex]39[/tex]
Step 2: Divide both sides by -13
[tex]\frac{-13d}{-13}[/tex] ≤ [tex]\frac{39}{-13}[/tex]
[tex]d[/tex] ≥ [tex]-3[/tex]
Answer:
[tex]d[/tex] ≥ [tex]-3[/tex]
Hopefully, this helps you!!
DummySokka~
Nathaniel wants to ride his bicycle 23.2 miles this week. He has already ridden 4 miles. If he rides for 4 more days, what is the average number of miles he would have to ride each day to meet his goal?
Answer: 4.8 miles a day
Step-by-step explanation:
Goal distance 23.2Miles
He rides 4miles, he is left with 23.2- 4= 19.2
Divide 19.2 into 4 days
Nathaniel needs to ride an average of 4.8 miles per day for the next 4 days to meet his goal of riding 23.2 miles this week.
Here, we have to find the average number of miles Nathaniel needs to ride each day to meet his goal, we can use the formula:
Average miles per day = (Total miles goal - Miles already ridden) / Number of days left
Let's plug in the values:
Total miles goal = 23.2 miles
Miles already ridden = 4 miles
Number of days left = 4 days
Now, we get,
Average miles per day = (23.2 - 4) / 4
Average miles per day = 19.2 / 4
Average miles per day = 4.8
So, Nathaniel needs to ride an average of 4.8 miles per day for the next 4 days to meet his goal of riding 23.2 miles this week.
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Read the following description of a relationship:
The sea turtle at a zoo is 2 years older than the stingray.
Let s represent the stingray's age and t represent the turtle's age.
Complete the equation that represents the relationship between s and t.
t =
Answer:
t=2s
Step-by-step explanation:
This is saying that the turtles age is two times the stingrays age because no matter how old the stingray is, the turtle is 2 times older.
Answer: t=s+2
Step-by-step explanation:
The sea turtle is 2 years older than the stingray.
Sea turtle's age = 2 years + stingray's age.
t = s+2
Fernando tiene una estatura de 1.80m y se encuentra parado a 6m del pie de la lámpara. Determina la altura de la lámpara si, cuando está encendida Fernando proyecta una sombra de 2m de longitud
A) x=0.45m
B) x=7.2m
C) x=5.4m
D) x=2.4m
Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)
Cómo aplicar el concepto geométrico de proporcionalidad
En la geometría Euclídea el concepto de proporcionalidad está asociado con el concepto de semejanza entre triángulos. Esta relación subyace en el hecho que si tenemos garantizado que existen un número suficiente y conocido de valores y características comunes entre los dos triángulos, entonces podemos determinar los valores faltantes.
En esta pregunta tenemos dos triángulos rectángulos que son semejantes, por ende, proporcionales. Por la definición de proporcionalidad derivamos la siguiente expresión para la altura de la lámpara:
h/H = x/X (1)
Donde:
h - Estatura de Fernando, en metros. H - Altura de la lámpara, en metros.x - Longitud de base del triángulo menor, en metros.X - Longitud de base del triángulo mayor, en metros.A continuación, reemplazamos las variables conocidas y determinamos la altura de la lámpara:
1.80/H = 2/8
H = 4 · (1.80 m)
H = 7.20 m
Considerando la estatura de Fernando, la longitud de su sombra y la distancia con respecto a la lámpara, la altura de la lámpara encendida es de 7.20 metros. (Opción correcta: A)
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During a home renovation project, Mrs.
Landry is planning to enlarge the pantry
closet in her kitchen. Based on the space she
has she can increase the depth of the closet
by a factor of 3 but cannot change the width.
How much larger will the square footage
(area) of the new renovated pantry be
compared to the original?
Answer:
DURING A HOME #KACHA BADAM JAKE KAACHA BADAM HWADNA
which exponential function repreasents growth?
Answer:
There are two types of exponential functions: exponential growth and exponential decay. In the function f (x) = bx when b > 1, the function represents exponential growth.
Step-by-step explanation: Math websites man
M ∠ 7 = ______ °
m ∠ 8 = ______ °
m ∠ 9 = ______ °
Answer:
Step-by-step explanation:
m∠7 = 360° ÷ 6 = 60 °
m∠8 = 60° ÷ 2 = 30 °
m∠9 = ( [tex]\frac{180-60}{2}[/tex] )° = 60 °
I need help, please!
Answer:
100
Step-by-step explanation:
[tex]10^1=10\\\\10^2 = 100\\\\10^3 = 1000\\\\10^4 = 10000\\\\10^5 = 100000\\\\10^6 = 1000000[/tex]
Find the arc length of the remaining portion if the bolded section was cut out of the circle. Round to the nearest tenth.
Answer:
69.6 ft
Step-by-step explanation:
The arc length can be found as a fraction of the circumference. That fraction is the ratio of the central angle measure to the measure for the whole circle.
__
Central angle of remaining arc:
360° -150° = 210°
Fraction of full circumference:
210°/360° = 7/12
The circumference of the circle is ...
C = 2πr = 2π(19 ft) = 38π ft.
Then the length of the remaining arc is ...
(7/12)(38π) ft ≈ 69.6 ft
Use a ratio box to solve this problem. Jason’s remote-control car traveled 440 feet in 10 seconds. At that rate, how long would it take the car to travel a mile?
Answer: 112sec
Step-by-step explanation: Convert 440Feet to mile
0.833mile in 10seconds
1mile will be 10/0.833= 12.00secs
Find the gradients of lines a and b
Step-by-step explanation:
Gradiant is nothing but the Slope of the lines
A) 2
B) -1
I hope it helped you
During which decade did an economic boom and bust occur in the united states? 1900s 1910s 1920s 1930s
An economic boom and bust occurred in the United States during the 1920s, which is also known as the Roaring Twenties.
When the economic boom in the united states took place?This period was marked by a significant increase in consumer spending, economic growth, and technological innovation, particularly in the areas of automobiles, radio, and electricity. However, the boom came to an abrupt end with the stock market crash of 1929, which triggered the Great Depression of the 1930s.
The economic boom of the 1920s in the United States was a period of rapid economic growth and expansion, characterized by a surge in consumer spending, increased industrial production, and the expansion of credit. This period was fueled by a number of factors, including technological innovation, such as the widespread adoption of the automobile and the growth of the aviation industry, as well as the widespread availability of electricity.
The 1920s also saw significant changes in the social and cultural landscape of the United States, with the rise of a new consumer culture that emphasized leisure and entertainment. The entertainment industry grew rapidly during this time, with the rise of radio broadcasting and the popularity of Hollywood films.
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helpppppppppppppp---------------000
Step-by-step explanation:
There are 3 cubes in the solid's length, 2 in its width, and 3 in its height. Therefore, the number of cubes = length * width * height = 3*2*3 = 18
The volume of a small cube , for a length l, is l³. The length is (1/3)m, so the volume is (1/3)³ = 1/27 m³
volume of solid = number of cubes * area of each cube = 1/27 * 18 = 18/27 m³. This is because we have to figure out the volume of 18 cubes together, and we can just add each cube to the volume 18 times for our answer
Carlos answered 122 questions correctly on his multiple choice science final and earned a grade of 61%. How many total questions were on the final exam?
Solve the system equations! I will give branliest!
Answer:
y = -3, x = 5
Step-by-step explanation:
In the first equation, x = 2 - y, x is on one side. So we can try to isolate the variable x in the second equation by adding 2y + 11 on both sides to get:
x = 2y + 11
So now we have equations x = 2 - y and x = 2y + 11. Therefore 2 - y = 2y + 11. Now we isolate variable y by adding y on both sides and subtracting 11 on both sides to get -9 = 3y. Divide by 3 on both sides to get y = -3.
Let's substitute that into x = 2 - y. Since y = -3, we now have x = 2 - (-3) = 5.
5) A bowl has 20 marbles in it, 4 red, 5 blue, 8, green, and 3 yellow. What is the probability of picking yellow? a. 3/20 b. 4/20 c. 1/3 d. 5/8
Answer:
A. 3/20
Step-by-step explanation:
since there are 3 marbles, and 20 total marbles, you have a 3/20 chance of picking yellow
Becca bikes for 1 hour and 5 minutes.
She returns from biking at half past seven.
What time did she start biking?
help i dnt want a D NOMORE
Answer: 6.25
Step-by-step explanation: Subtract 1hr 5mins from 7.30