The area of the sector that has a central angle of 120 degrees and radius of 8 units is 64π / 3 units²
Area of a sectorThe area of a sector is defined as follows:
area = ∅ / 360 × πr²
where
r = radius∅ = central angleTherefore,
r = 8
∅ = 120°
Hence,
area of the sector = 120 / 360 × π × 8²
area of the sector = 1 / 3 × π × 64
area of the sector = 64π / 3 units²
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A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student. which score is most likely? probability distribution score: x probability: p(x) 1 0.06 2 0.20 3 0.48 4 0.26 1 2 3 4
The generalization of the weighted average is the expected value of a distribution. The score that is most likely to occur is 3.
How to find the mean (expectation)?The generalization of the weighted average is the expected value of a Probability distribution. It is given by the formula,
[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]
As we need to calculate the score that is most likely to occur, therefore, we need to calculate the expected value of the given probability distribution, therefore, the expected value can be written as,
[tex]E(x) = \sum xP[/tex]
where x is the score and P is the probability of the score occurring.
[tex]E(x) = (1 \times 0.06)+(2 \times0.20)+(3 \times 0.48)+(4 \times 26)\\\\E(x) = 2.94[/tex]
Since 2.94 is the most expected value to occur which is close to 3, therefore, the score that is most likely to occur is 3.
Also, the probability of score 3 coming is maximum which is equal to 0.48.
Hence, the score that is most likely to occur is 3.
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Answer:c
Step-by-step explanation: just took the test
A vertical mast is held in place by wires from the top of it to the ground the mast is 60m tall and the wires from the top of it to the ground is 25m from the foot of the mats.How long is each wire
Answer:
65 m
Step-by-step explanation:
The length of the mast, 60 m, is a leg of a right triangle.
The distance the wire is from the foot of the mast is the other leg.
The length of the wire is the hypotenuse of the right triangle.
We can use the Pythagorean theorem to find the length of the wire.
a² + b² = c²
60² + 25² = c²
3600 + 625 = c²
c² = 4225
c = 65
Answer: 65 m
Which expression is equivalent to x + 11?
11 x
11 + x
11 - x
- x + 11
Answer:
11 + x
Step-by-step explanation:
x + 11 can be reversed as 11 + x and it would still mean the same thing.
11x means 11 * x so does not match
11 + x and x + 11 same this is correct answer tho
last two are also same 11 - x and -x +11
3-5 1/3 on a number line
There are 19 students in the class today 14 are absent. How many students are in class total? Draw a tape diagram that would represent this scenario. Solve X
Answer:
5
Step-by-step explanation:
19-14=5
for the Tape diagram just make 19 boxes and fill in 5.
Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))
Answer:
hello
g (x)= x² - 5
g (3) = 3² - 5 = 9 - 5 = 4
Step-by-step explanation:
A young Witch flew her broom 48 miles form her home to a witch festival. Flying with the wind, the trip took 3 hours. Her flight home against the wind took 4 fours. find the speed of the wind and the speed of the broom in still air
Using the relation between velocity, distance and time, it is found that:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.What is the relation between velocity, distance and time?
Velocity is distance divided by time, hence:
[tex]v = \frac{d}{t}[/tex]
Flying with the wind, in which [tex]v = v_b + v_w[/tex] the 48-mile trip took 3 hours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b + v_w = \frac{48}{3}[/tex]
[tex]v_b + v_w = 16[/tex]
Her flight home against the wind took 4 fours, hence:
[tex]v = \frac{d}{t}[/tex]
[tex]v_b - v_w = \frac{48}{4}[/tex]
[tex]v_b - v_w = 12[/tex]
Adding the two equations:
[tex]2v_b = 28[/tex]
[tex]v_b = 14[/tex]
[tex]v_b + v_w = 16 \rightarrow v_w = 2[/tex]
Hence:
The speed of the wind is of 2 mph.The speed of the broom is of 14 mph.More can be learned about the relation between velocity, distance and time at https://brainly.com/question/24316569
We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2
Answer:
3 tents hold 2 campers
Step-by-step explanation:
The given relations can be expressed as a single equation in the number of 2-camper tents.
__
Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...
2x +4(6 -x) = 18
-2x +24 = 18
-2x = -6 . . . . . . subtract 24
x = 3 . . . . . . . divide by -2
Exactly 3 tents hold 2 campers.
_____
Additional comment
The other 3 tents hold 4 campers.
Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.
A rectangular box with a square base and no top is to have a volume of 108
The value in cubic yards is 3.996yd³.
What is the volume of the rectangular box?The volume of a rectangular box can be calculated if you know its three dimensions: width, length, and height.
A rectangular box with a square base and no top is to have a volume of 108ft³.
We are to convert the dimension to cubic yards. Using the conversion factor
1 ft³ = 0.0370yd³
108ft³ = x
Cross multiply
1 × x = 108 × 0.0370
x = 3.996
Hence, the value in cubic yards is 3.996yd³.
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Little helppp please
Answer:
Answer given above
Step-by-step explanation:
a.) 6 m n^8
b.)2x^8 y^3
c. ) d^3 e
Phoebe spent $12.87 at the bookstore. She paid with a $20 bill. How much is her change?
Answer:
$7.13
Step-by-step explanation:
Very simple, we subtract 12.87 from 20 and the answer is 7.13.
So should get back $7.13 as her change
evaluate the expression when x = 2 x^2 + 8x – 6
Answer:
x =(7-√97)/-4= 0.712
Or
x =(7+√97)/-4=-4.212
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently.
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
The weekly paycheck amount for each salesman, p, is a function of the number of sales, s, they had in that week.
Salesman A Salesman B Salesman C
s = 0 (0, ) (0, ) (0, )
s = 1 (1, ) (1, ) (1, )
s 10 (10, ) (10, ) (10, )
Answer 84.500
Step-by-step explanation: you have to multiply 1,300x65 then 300x 40
and then 12,000
the statement "If A, then B" can be best described as
Complete this pattern please?
Answer:
30, 40, 50, 60, 70
Step-by-step explanation:
PLEASE GUYS I REALLY NEED TO GET A C OR A B IN MATH PLEASE I NEED AT LEAST ONE PERSON TO HELP ME WITH MY SI
The prism below is made of cubes which measure of an inch on one side. What is the volume?
Note: Figure is not drawn to scale.
A.
B.
C.
D.
Answer:
35
Step-by-step explanation:
V=Bh
V = 6(5)
V= 35
Answer: the answer is A. 10/9 cubic in.
Step-by-step explanation:
Determine the probability of choosing a pair need help
Vocabulary Builder
Visualize It.......
Complete the bubble map using the review words.
Review Words
fraction
Videntity Property
of Multiplication
multiple
product
unit fraction
multiplication
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number.
What is an equation?An equation is an expression that is used to show the relationship between two or more numbers and variables.
The identity property of multiplication states that if a number (a) is multiplied by 1, the result is the number. The equation for identity property is:
a * 1 = a
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Whoever answers first gets 30 points plus brainliest
how many months are there in 7 years???
good luck ;)
Answer:
84
Step-by-step explanation:
1 year= 12 months
7 years × 12 months each= 84 months in total for 4 years
What is the mode for the following set of data?
5, 7, 8, 10, 12, 12
10
9
7
12
Answer:
I think it would be 10
Step-by-step explanation:
Hope this helps:)...if not then sorry for wasting your time and may God bless you:)
Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.
A.
when are non-forfeiture provisions used?
when the insured names a beneficiary
b. when the insured stops making premium payments on a cash value policy
c. when the insured converts a term policy
d. when the insured dies and there is a settlement
Answer: should be B
Step-by-step explanation:
100 points!!! Please help with this math.
Answer:
12ft
Step-by-step explanation:
A prism is a 3D shape which has the same 2D shape repeated along its length (this is sometimes called the cross section).
The 2D shape at the ends of the prism is the base of the prism, so for this shape, the bases are the triangles.
The height of the prism is actually the length of the prism, so for this prism the height is 12 ft.
Abraam needs bread to make his sandwich for lunch. He'd like to buy a loaf at the best value. At the store, there is a 1 lb. loaf for 80¢ and a 2 lb. loaf for $1.95. per oz. The 1 lb. loaf costs Choose... per oz. and the 2 lb. loaf costs Choose... Abraam should buy the Choose... loaf of bread. Unlimited A
Answer:
loaf 1 costs 5 cents an oz and loaf 2 costs 6 cents a pound so aabrum should but loaf 1
Step-by-step explanation:
The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.
On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).
Which is the solution to the inequality?
28
8
15
15
Obc2 1/5
O b>21
o b<373
O b>3
b>
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5+ 8/15<b
9+8
2-----------=2 17/15
15
=2+ 1 2/15
=3 2/15 <b
b> 3 2/15
Answer:
b > 3 2/15
Step-by-step explanation:
2 3/5 < b - 8/15
Convert the number
2 × 5 + 3/5 < b - 8/15
10 + 3/5 < b - 8/15
13/5 < b - 8/15
Rearrange the terms
-b < -8/15 - 13/5
Transform the expression
-b < -8 - 39/15
Calculate
-b < -47/15
Divide both sides
b > -47/15 = b > 3 2/15
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
The area of the path of the width 5 m is surrounded outside the square pond is 900m^2 find the length of the pond
Answer:
180mStep-by-step explanation:
[tex]5m \times xm = 900 {m}^{2} \\ xm = \frac{900 {m}^{2} }{5m} \\ x = 180m[/tex]
Deshi has 427 marbles and Elaheh has 394 marbles Deshi wants to give 125 marbles to his little brother how many total marbles will Deshi and Elaheh have after this?
Answer: Deshi will have 302 marbles and Elaheh will have 519.
Step-by-step explanation:
Deshi's Marbles will subtract 125.
427 - 125 = 302.
Elaheh's Marbles will add 125.
394 + 125= 519.
Amelia is using substitution to determine if 8 is a solution to the equation. Complete the statements. 6a = 42 for a = 8 First, Amelia must substitute 8 for the using. To simplify, Amelia must. 8 a solution of the equation.
Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
What is algebraic expression?
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
Amelia is using substitution to determine if 8 is a solution to the equation. The equation which is Amelia is solving for a = 8 is,
[tex]6a = 42[/tex]
First, Amelia must substitute 8 for the variable using parentheses as,
[tex]6(8) = 42[/tex]
To simplify, Amelia must. multiply 8 by 6.
[tex]48 \neq 42[/tex]
The left hand side of the eqqation is not equal to the right hand side. Thus, 8 is not a solution of the equation.
Thus, Amelia must substitute 8 for the variable using parentheses. To simplify, Amelia must multiply 8 by 6. 8 is not a solution of the equation.
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Answer:
it is a
Step-by-step explanation:
Which ratio is not equivalent to 3/5 ?
A. 15/20
B.6/8
C.30/50
D.12/20
Answer:
A & B
Step-by-step explanation:
15/20 is not equal
6/8 is not equal
30/50 is equal
12/20 is equal
Hey there!
3/5
= 3 ÷ 5
= 0.60
= 60%
• So, we’re looking for something that’s equivalent to 0.60 or 60%
Option A.
15/20
= 15 ÷ 20
= 15 ÷ 5 / 20 ÷ 5
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option A. could possibly be your equivalent to your fraction
Option B.
6/8
= 6 ÷ 8
= 6 ÷ 2 / 8 ÷ 2
= 3 / 4
= 3 ÷ 4
= 0.75
= 75%
So, Option B. isn’t equivalent because it’s too big and not what we’re looking for!
Option C.
30/50
= 30 ÷ 50
= 30 ÷ 5 / 50 ÷ 5
= 6 / 10
= 6 ÷ 2 / 10 ÷ 2
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option C. could possibly be your equivalent to your fraction.
Option D.
12/20
= 12 ÷ 20
= 12 ÷ 2 / 20 ÷ 2
= 6 / 10
= 6 ÷ 2 / 10 ÷ 2
= 3 / 5
= 3 ÷ 5
= 0.60
= 60%
So, Option D. could possibly be your equivalent to your fraction.
To sum it all up, your answer is:
Option B. 6/8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the value of x.
A. 80°
B. 70°
C. 60°
D. 50°
Answer:
A
Step-by-step explanation:
80 degree becaue a triangle = 180 degress
180 - 100 = 80