Find the length of AB and round answer to the nearest hundredth
Answer:
AB ≈ 11.17 m
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{80}{360}[/tex]
= 2π × 8 × [tex]\frac{8}{36}[/tex]
= 16π × [tex]\frac{2}{9}[/tex]
= [tex]\frac{32\pi }{9}[/tex] ≈ 11.17 m ( to the nearest hundredth )
The sides of the cuboid are 20cm 5cm and 10cm what is the surface area
Answer:
The formula for calculating the surface area of a cuboid is as follows.
Surface Area of Cuboid = 2lw + 2lh + 2hw
Where,
l = Length = 20cmw = Width = 5cmh = Height = 10cmTherefore,
Surface Area of Cuboid = (2 x 20 x 5) + (2 x 20 x 10) + (2 x 10 x 5)
= 200 + 400 + 100
= 700 [tex]cm^{2}[/tex]
which statement is true about the equation (x-4)(x+2)=16
Answer:
The factored form of the equation is (x + 4)(x – 6) = 0.
What is the correct classification for each given angle?
Drag and drop the answer into the box to match each angle.
pls pls help me out guys
In the above figure, m∠P = 125° and m∠Q = 5x. If angles P and Q are supplementary angles.
what is the value of x and the measure of angle Q?
A. x = 61, m∠ Q = 55°
B. x = 11, m∠Q = 16°
OC. x = 11, m&angle: Q = 55°
D. x = 43, m∠Q = 215°
9514 1404 393
Answer:
the correct choice is marked: x = 11; Q = 55°
Step-by-step explanation:
If P and Q are supplementary, then ...
Q = 180° -P
Q = 180° -125°
Q = 55°
Then we have ...
5x = 55°
x = 11°
share 240 in the ratio of 3:5
Answer:
90 to 150
Step-by-step explanation:
5+3=8
240÷8=30
30×3=90
30×5=150
Answer:
90 to 50
hi I hope this is helped you
Step-by-step explanation:
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1. A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy
in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball
for each question and replaces the ball in the box.
The marking on the ball will determine her answer
to the question. There are five multiple choice questions on the exam. What is the probability that she will get:
a. Five questions correct?
b. At least four questions correct?
c. No questions correct?
d. No more than two questions correct?
Answer:
a) 0.001 = 0.1% probability that she will get five questions correct.
b) 0.0156 = 1.56% probability that she will get at least four questions correct.
c) 0.2373 = 23.73% probability that she will get no questions correct.
d) 0.8965 = 89.65% probability that she will get no more than two questions correct.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either she gets it correct, or she does not. The probability of getting a question correct is independent of any other question, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
There are five multiple choice questions on the exam.
This means that [tex]n = 5[/tex]
She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. She randomly selects one ball for each question and replaces the ball in the box.
This means that [tex]p = \frac{1}{4} = 0.25[/tex]
a. Five questions correct?
This is [tex]P(X = 5)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001[/tex]
0.001 = 0.1% probability that she will get five questions correct.
b. At least four questions correct?
This is:
[tex]P(X \geq 4) = P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{5,4}.(0.25)^{4}.(0.75)^{1} = 0.0146[/tex]
[tex]P(X = 5) = C_{5,5}.(0.25)^{5}.(0.75)^{0} = 0.001[/tex]
[tex]P(X \geq 4) = P(X = 4) + P(X = 5) = 0.0146 + 0.001 = 0.0156[/tex]
0.0156 = 1.56% probability that she will get at least four questions correct.
c. No questions correct?
This is P(X = 0). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373[/tex]
0.2373 = 23.73% probability that she will get no questions correct.
d. No more than two questions correct?
This is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373[/tex]
[tex]P(X = 1) = C_{5,0}.(0.25)^{1}.(0.75)^{4} = 0.3955[/tex]
[tex]P(X = 2) = C_{5,2}.(0.25)^{2}.(0.75)^{3} = 0.2637[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2373 + 0.3955 + 0.2637 = 0.8965[/tex]
0.8965 = 89.65% probability that she will get no more than two questions correct.
solve for x below in the equation
Answer:
Step-by-step explanation:
7x + 2x =90 (being perpendicular)
9x =90
x =90/9
x =10
substiute the value of x
7x
=7*10
=70
2x
=2*10
=20
Answer:
x = 10
Step-by-step explanation:
See image. Due to the logic of vertically opposite angles (when one angle is equal to the other that is "vertically opposite" to it), the two angles that I have marked in the diagram are going to equal.
Therefore, if we were to write it out:
2x + 7x = 90
(vertically opposite angles)
9x = 90
∴ x = 10
y=1/2x-6 x=-4
What is the solution to the system of equations?
(–8, –4)
(–4, –8)
(–4, 4)
(4, –4)
Answer:
the answer to the system of equations is (-8,-4).
Answer:
B. (-4, -8)
Step-by-step explanation:
y = 1/2x - 6
x = -4
We already know the value of x, so let's plug it into the first equation.
y = 1/2x - 6
y = 1/2(-4) - 6
Multiply.
y = -2 - 6
Subtract.
y = -8
Your solution is (-4, -8).
Hope this helps!
13. The bridge cost $2.8 million ($2,800,000) to build. If it costs each person $14 to cross the bridge, how many people will have to cross the bridge to pay for the cost of it?
Answer:
200,000
Step-by-step explanation:
just divide
Answer:
200,000
Step-by-step explanation:
NO LINKS OR ELSE YOU'LL BE REPORTED!Only answer if you're very good at Math.No guessing please.
Which expression has the greatest value?
A: 16 3/2
B: √16^2
C: 3√64^2
D: 3√8^4
Answer:
16 3/2
Step-by-step explanation:
So lets go thru each one.
16 3/2 is just 17.5
A square root cancels out a square.
A cubed root cancels out a cube.
So, in the next answer:
16 squared, to the square root is just 16, since the squaring and root cancels out.
64 sqaured to the cube root must be 16. Lets break it all down:
2^6=64. We need to square this, so we can rewrite it as:
64^2 = [tex](2^6)^2[/tex]
Normally we add/subtract exponents, but since the 6 exponent is in parethesese, it is multiplied by the 2 exponent. This makes it 2^12. So we can rewrite [tex]\sqrt[3]{64^2}[/tex] as:
[tex]\sqrt[3]{2^1^2}[/tex]
Now, when we divide a exponent by a exponent, we subtract.
However, when we root a exponent, it is division.
So it is the 2 [tex]\frac{^1^2}{^3}[/tex]
=
[tex]2^4[/tex]
Or
16
Finally we have the cubed root of 8^4.
using the same steps as above, 8^4 = [tex](2^3)^4[/tex]. This equals [tex]2^1^2[/tex]
Then again, we cube root it.
This is division of the 12 exponent by the 3 root, so we get:
[tex]2^4[/tex]
=
16
So in the end:
A - 17.5
B - 16
C - 16
D - 16
So a is the largest number
Hope this helps!
DJ Cynthia is making a playlist for a radio show; she is trying to decide what 10 songs to play and in what order they should be played. If she has her choices narrowed down to 8 blues, 4 rock, 4 jazz, and 7 pop songs, and she wants to play no more than 4 pop songs, how many different playlists are possible?
Answer:
3,770,461,100,000 different playlists are possible.
Step-by-step explanation:
To solve this question, the arrangements formula and the combinations formula are used. The arrangements formula is used considering the order of the musics being played, and the combinations formula is used to find the number of possible combinations of musics.
Arrangements of n elements:
The number of possible arrangements of n elements is given by:
[tex]A_{n} = n![/tex]
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
0 pop songs
10 non-pop from a set of 8 + 4 + 4 = 16.
Arrangements of 10(order in which the musics are played). So
[tex]P(0) = 10!C_{16,10} = 10!\frac{16!}{6!10!} = \frac{16!}{6!} = 29059430400[/tex]
1 pop song:
9 non-pop from a set of 16, 1 pop from a set of 7. So
[tex]P(1) = 10!C_{16,9}C_{7,1} = 10!\frac{16!}{7!9!}\frac{7!}{1!6!} = 290594304000[/tex]
2 pop songs:
8 non-pop from a set of 16, 2 pop from a set of 7. So
[tex]P(2) = 10!C_{16,8}C_{7,2} = 10!\frac{16!}{8!8!}\frac{7!}{2!5!} = 980755776000[/tex]
3 pop songs:
7 non-pop from a set of 16, 3 pop from a set of 7. So
[tex]P(3) = 10!C_{16,7}C_{7,3} = 10!\frac{16!}{7!9!}\frac{7!}{3!4!} = 1452971500000[/tex]
4 pop songs:
6 non-pop from a set of 16, 4 pop from a set of 7. So
[tex]P(4) = 10!C_{16,6}C_{7,4} = 10!\frac{16!}{6!10!}\frac{7!}{3!4!} = 1017080100000[/tex]
How many different playlists are possible?
[tex]T = P(0) + P(1) + P(2) + P(3) + P(4) = 29059430400 + 290594304000 + 980755776000 + 1452971500000 + 1017080100000 = 3770461100000[/tex]
3,770,461,100,000 different playlists are possible.
Carrie works due south of her apartment. Her friend Sarah works due east of the
apartment. They leave for work at the same time. By the time Carrie is 5 miles from
their apartment the distance between them is 1 mile more than Sarah's distance
from the apartment. How far from the apartment is Sarah?
Answer:
3 miles
Step-by-step explanation:
5-1+2=3
From the calculation done using the pythagoras theorem, the distance from Sarah's apartment is 12m
What is the pythagoras theoremThis theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Using the pythagoras theorem
BC² = AB² + AC²
The sides of the triangle are x, x - 1 and 5
x² = (x-1)² + 5²
x² = (x-1)(x-1) +25
x² = x²-x-x -1 + 25
collect like terms
2x = 24
divide through the equation by 2
x = 24/2
= 12m
Read more on distance here: https://brainly.com/question/2854969
4x (2x + 3x) + 5y (5y + 3y)
+
Simplify the expression by distributing and then combining like terms
Answer:
20x² + 40y²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
4x(2x + 3x) + 5y(5y + 3y)
Step 2: Simplify
[Addition] (Parenthesis) Combine like terms: 4x(5x) + 5y(8y)Multiply: 20x² + 40y²Answer:
20 x ² + 40 y ²
Step-by-step explanation:
4 x ( 2 x + 3 x ) + 5 y ( 5 y + 3 y )
Combine likes term
4 x ( 5 x ) + 5 y ( 8 y )
multiply, we get
20 x ² + 40 y ²
Please help me!! i have no clue how to do this unit :(
Answer:
the area is 27
Step-by-step explanation:
Answer:
the base of this shape is 6
lets break it up into a rectangle and a triangle
the rectangle is 6(base) time 3(height)=18
the triangle is 6(base) times 3(height) divided by two = 9
18 plus 9 = 27
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A B C Or D?
15 point plz awnser
Answer:
d
Step-by-step explanation:
because prime number less than 30 is more than all the options which is prime numbers(2,3,5,7,11,13,17,19,23 and 29) most likely is a prime numbers
Which is the only equation below that does not correctly describe one of the holes that need to be cut out?
Answer:
c
Step-by-step explanation:
A school class of 120 students is driven in 3 buses to a symphonic performance. There are 36 students in one of the buses, 40 in another, and 44 in the third bus. When the buses arrive, one of the 120 students is randomly chosen. Let X denote the number of students on the bus of that randomly chosen student, find E(X).
Answer:
40.2667
Step-by-step explanation:
P(X=36)= 36/120
P(X=40)= 40/120
P(X=44)=44/120
E(X) = 36(36/120)+40(40/120)+44(44/120)=1208/30=40.2667
hope this helps
If a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
A school class of 120 students is driven in 3 buses to a symphonic performance.
There are 36 students on one of the buses, 40 on another, and 44 on the third bus.
From the data given:
Let X be the total number of passengers on the bus carrying that randomly selected student,
Total number of students = 120
Let:
Probability:
P(X = 36) = 36/120
Probability:
P(X = 40)= 40/120
Probability:
P(X = 44)=44/120
E(X) = 36(36/120) + 40(40/120) + 44(44/120)
E(X) = 1208/30
E(X) = 40.26
Therefore, if a school class of 120 pupils is transported by three buses to a symphonic concert, the value of E(X) is 40.26.
Learn more about the probability here:
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why does my teacher have a lisp man its so annoying
Answer:
She is born with it. So be nice to here and don't talk about here lisp. If you do you would become here favorit. Don't talk bad about here behind here back.
Step-by-step explanation:
Lisp is a family of programming languages with a long history and a distinctive, fully parenthesized prefix notation. Originally specified in 1958, Lisp is the second-oldest high-level programming language in widespread use today. Only Fortran is older, by one year.
Construct the sampling distribution of the sample means.?
Answer:
The Sampling Distribution of the Sample Mean. If repeated random samples of a given size n are taken from a population of values for a quantitative variable, where the population mean is μ (mu) and the population standard deviation is σ (sigma) then the mean of all sample means (x-bars) is population mean μ (mu).
Step-by-step explanation:
NEED HELP ASAP!!
use the vertical line test to determine if the relation whose graph is provided is a function
(graph and answers pictured)
Answer:
Yes, this graph represents a function
Step-by-step explanation:
The function passes the vertical line test, which tests for if any input has more than one unique output by moving a vertical line from left to right. If the vertical line doesn't pass 2 or more points at a time, then the function is indeed a function.
Answer:
The graph does represent a function
Step-by-step explanation:
The function is at about 30y = x^3
What are the pair of interior and exterior angles called?
Answer:
On the same side of the transversal, a pair of matching angles can be found. One outer angle and one internal angle make up the appropriate pair of angles. All related angles are not created equal. If the transversal connects two parallel lines, the corresponding angles are equal.
Step-by-step explanation:
I need the answers Anyoneeee
somebody helppppppppppppppppppppppppp....
Answer:
55
Step-by-step explanation:
It is 55 minutes more because 1 1/2 hrs = 90 minutes and when you add 20 plus quarter of an hour it equal to 35. SO than you subtract 35 from 90 and you get 55 which is the more minutes .
Helppppppppp
What is the solution to the equation below ?
Answer: x=3
Step-by-step explanation:
First we're going to get rid of the fraction by multiplying both sides by the square root of x-2
Now square both sides
[tex](\sqrt{3x })^2=3^2(\sqrt{x-2 })^2\\3x=9(x-2)[/tex]
Next use the distributive property
[tex]3x=(9)(x)-(9)(2)\\3x=9x-18[/tex]
Now subtract 9x from both sides
[tex]3x-9x=9x-18-9x\\-6x=-18[/tex]
Finally divide -6 on both sides
[tex]\frac{-6x}{-6} =\frac{-18}{-6} \\x=3[/tex]
What are constants in expression 5w+4-9m+2
Answer:
4 and 2
Step-by-step explanation:
These are considered to be constant because the values cannot change. For example, the values of 5 and 9 can change depending on what w and m are.
Answer:
4 and 2
Step-by-step explanation:
Find the volume of the box below.
Answer:
52.5 ft squared
Step-by-step explanation:
You just multiply each side to get volume.
Express the inequality b < -1.4 using interval notation.
Answer:
See image below for answer:)
Step-by-step explanation:
The inequality b < - 1.4 written as interval notation is b ∈ (- ∞, - 1.4).
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, An inequality b < - 1.4.
We know in interval notation if x is greater than a and less than b we write
a < x < b.
Therefore, The inequality b < - 1.4 can be written as,
- ∞ < b < - 1.4 Or b ∈ (- ∞, - 1.4).
learn more about inequalities here :
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Will mark brainlest help me
Answer:
a. {(1,3), (1,4) ,(2,3), (2,4) }
b. {(1,4), (1,5), (2,4), (2,5)}
Answer:
PxR={(1,4)(1,5)(2,4)(2,5)}
PxQ={(1,3)(1,4)(2,3)(2,4)}
Step-by-step explanation:
Each of the members of set P is multiplying by each member of set Q or R,
so, 1 in set P has to multiply by 3 and 4 in set Q or 4 and 5 in set R. (We do the same for 2)
When a member of a set multiplies with another, we put the two members of two sets we are multiplying in parentheses.
