Answers
Answer:
a. n^2-2n+1/n squared
b. 9 green counters
Step-by-step explanation:
just as you role 3 dices and the chances are MULTIPLIED, the same goes for this problem.
n-1/n times n-1/n would create the probability of getting 2 green counters randomly from the bag's possibility.
n-1/n times n-1/n can be said as (n-1) squared or in simple terms:
n^2 -2n+1 or in words, n squared -2n +1.
divided by n squared is the fraction probability in simplest form:
n^2-2n+1/n squared
the next question is actually much easier:
0.9 is 90% in percentages, this can be detrimental to your grade if your teachers asked you for the decimal, not percentage of it.
for 1 every yellow counter, there is 9 green counters. so in the bag, there is one yellow counter meaning there are 9 green counters in the bag (after finishing the first question)
Part (a)
Answer: (n-2)/n----------------
Explanation:
There are n-1 green counters to start out of n counters total.
The probability of selecting a green counter is (n-1)/n
The probability of selecting a second green counter is (n-2)/(n-1) since we're not putting the first counter back.
Multiplying the two fractions leads to (n-2)/n
Note how the (n-1) terms cancel.
===============================================================
Part (b)
Answer: 19 green counters----------------
Explanation:
We set the result of part (a) equal to 0.9 and solve for n
(n-2)/n = 0.9
(n-2)/n = 9/10
10(n-2) = 9n ... cross multiply
10n-20 = 9n
10n-9n = 20
n = 20
We have 20 counters in the bag. One counter is yellow and the remaining n-1 = 20-1 = 19 are green.
The probability of getting one green counter is 19/20
The probability of a second green counter is 18/19
The probability of two green counters is (19/20)*(18/19) = 18/20 = 9/10 = 0.9
This helps confirm the answer.
Related Questions
Consider the expression 25 – 10 ÷ 2 + 3.
Part A
Which shows a way to rewrite the expression using parentheses so that the expression equals 23?
Select all that apply.
A. (25 – 10) ÷ 2 + 3 = 23
B. 25 – 10 ÷ (2 + 3) = 23
C. (25 – 10) ÷ (2 + 3) = 23
D. 25 – (10 ÷ 2) + 3 = 23
Part B
Which shows a way to rewrite the expression using parentheses so that the expression equals 3?
A. (25 – 10) ÷ 2 + 3 = 3
B. 25 – 10 ÷ (2 + 3) = 3
C. (25 – 10) ÷ (2 + 3) = 3
D. 25 – (10 ÷ 2) + 3 = 3
Answers
Given:
The expression is:
[tex]25-10\div 2+3[/tex]
To find:
Part A: The expression using parentheses so that the expression equals 23.
Part B: The expression using parentheses so that the expression equals 3.
Solution:
Part A:
In option A,
[tex](25-10)\div 2+3=15\div 2+3[/tex]
[tex](25-10)\div 2+3=7.5+3[/tex] [Using BODMAS]
[tex](25-10)\div 2+3=10.5[/tex]
In option B,
[tex]25-10\div (2+3)=25-10\div 5[/tex]
[tex]25-10\div (2+3)=25-2[/tex] [Using BODMAS]
[tex]25-10\div (2+3)=23[/tex]
In option C,
[tex](25-10)\div (2+3)=15\div 5[/tex]
[tex](25-10)\div (2+3)=3[/tex]
In option D,
[tex]25-(10\div 2)+3=25-5+3[/tex]
[tex]25-(10\div 2)+3=28-5[/tex] [Using BODMAS]
[tex]25-(10\div 2)+3=23[/tex]
After the calculation, we have [tex]25-10\div (2+3)=23[/tex] and [tex]25-(10\div 2)+3=23[/tex].
Therefore, the correct options are B and D.
Part B: From part A, it is clear that
[tex](25-10)\div (2+3)=3[/tex]
Therefore, the correct option is C.
HELP PLEASE I"LL GIVE 50 POINTS. what is the ratio in simplest form between the length of a side in ΔMNO and the length of it's corresponding side in ΔXYZ
Answers
Answer:
1 : 2
Step-by-step explanation: trust
Answer:
3/1 Hope that helps
Step-by-step explanation:
Determine whether the triangles are similar. If so, write a similarity
statement.
Answers
Answer:
yes that are similar
Step-by-step explanation:
because the angles are both 50 degrees
similarity statement:
triangle DEF= triangle JEH
hope that helps bby<3
If the following data were linearized using logarithms, what would be the
equation of the regression line? Round the slope and y-intercept of the
regression line to three decimal places.
х
y
1
1
13
N
55
3
349
4
2407
5 16,813
Answers
Answer:
the equation of the regression line will be 1
For which equation is the solution set {-5,2}? *
Answers
Step-by-step explanation:
14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.
-3(4x-6)=7-12x(solve)(show work)
Answers
Hi there!
»»————- ★ ————-««
I believe your answer is:
There is no solution to the equation.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
If a ladder reaches 10 feet up on a wall while the base is 3 feet away how tall is the ladder
Answers
Answer:
Side a = 10.44031
Side b = 10
Side c = 3
Angle ∠A = 90° = 1.5708 rad = π/2
Angle ∠B = 73.301° = 73°18'3" = 1.27934 rad
Angle ∠C = 16.699° = 16°41'57" = 0.29146 rad
The probability distribution for the number of defects in a shipment of alarm clocks, based on past data, is given below. Find the expected number of defects in a shipment of alarm clocks.Number of defects, n: 0, 1, 2, 3, 4Probability of n defects: 0.82, 0.11, 0.04, 0.02, 0.01
Answers
Answer:
0.29
Step-by-step explanation:
Given :
n : ___ 0 _____ 1 ____ 2 ____ 3 ____ 4
P(n) : 0.82___ 0.11 ___0.04 _0.02 ___0.01
The expected number of defect in a shipment can be obtained using the expected value formula :
Expected value, E(X) = Σx*p(x)
Σx*p(x) = (0*0.82) + (1*0.11) + (2*0.04) + (3*0.02) + (4*0.01)
E(X) = 0.29
Hence, the expected number of defect in shipment is 0.29
Given (x+y)^12, find the coefficient of the 7th term.
200
495
792
924
Answers
Answer: 924
Step-by-step explanation:
1. Use the combination formula nCr = n!/(n-r)!r!
Using this formula gets you 16 (n) C 6 (r) = 12!/6!6! Which is also 12 • 11 • 10 • 9 • 8 • 7 • 6 • 5 • 4 • 3 • 2 • 1 / 6 • 5 • 4 • 3 • 2 • 1 • 6 • 5 • 4 • 3 • 2 • 1
2. Cancel out matching multiples that are in the numerator and denominator
This gets you 12 • 11 • 10 • 9 • 8 • 7 / 6 • 5 • 4 • 3 • 2 • 1 or 665280/720 when you simplify which leads you to the answer 924
Hope this helps!
Answer:
924
Step-by-step explanation:
Prove the formula that:
((∃x)(F(x)∧S(x))→(∀y)(M(y)→W(y)))∧((∃y)(M(y)∧¬W(y)))
⇒(∀x)(F(x)→¬S(x))
Answers
Step-by-step explanation:
Given: [∀x(L(x) → A(x))] →
[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for
arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof
technique.
Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
We need to show that the above expression is unsatisfiable (False).
¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))
∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))
E.I with respect to x,
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))
E.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b
U.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Since P ∧ Q is P, drop L(a) from the above expression.
(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Apply distribution
(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))
Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to
(L(b) ∧ H(a, b) ∧ ¬A(b))
U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace
¬A(b) in the above expression with ¬L(b). Thus, we get,
(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.
This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows
from the premise.
15
Graph the linear function y= -x + 3.
Answers
Help meeeee and plz get it right
Answers
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
A company manufactures video games with a current defect rate of 0.95%.To make sure as few defective video games are delivered as possible,they are all tested before delivery.The test is 98% accurate at determining if a video game is defective.If 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?
A: 950
B: 2,000
C: 20
D: 50
Answers
====================================================
Work Shown:
0.95% = (0.95)/100 = 0.0095
0.95% of 100,000 = 0.0095*(100,000) = 950
We expect about 950 games will be defective.
Answer:
A: 950
Step-by-step explanation:
Find the area of the triangle. round your answer to the nearest tenth
Answers
Answer:
use photo math
Step-by-step explanation:
cuz i said so
Answer is A 234.6 units
Explanation:
Area = base * side * sinγ ( Sin of angle)/2
A = 37 * 30·sin(25°)/2
A ≈ 234.55314 units
What is the approximate sector area of a sector defined by minor arc CB?
Answers
Answer:
d. 7.5 cm²
Step-by-step explanation:
Area of sector = central angel/360 × πr²
Central angle = 180° - 84° = 96° (supplementary angles)
BA = radius (r) = ½(6) = 3 cm
Plug in the values
Area of sector = 96/360 × π*3²
= 7.53982238
= 7.5 cm² (nearest tenth)
What is the distance of 39 from zero? Hellpppppppp
Answers
Answer: 39
Step-by-step explanation: the distance is always positive, 39 + 0 = 39
Answer:
39
Step-by-step explanation:
39 is 39 numbers away from zero. it really doesn't get simpler.
Lauren woke up one morning and saw frost on the windows. It was -2°C outside. Later in the day, the frost melted. At 3 p.m. it was 9°C outside. Which expression represents the difference between the two temperatures?
Answers
Answer:
9-(-2) or 9+2
Step-by-step explanation:
To find the difference of something, subtract one value from the other. It become addition because two negatives make a positive
Evaluate the expression:
3x + 2y when X=10 and y=4
Answers
Answer:
38
Step-by-step explanation:
3x + 2y when X=10 and y=4
3(10) + 2(4)
30 + 8
38
Encuentra el resultado de la ecuación mediante la formula general
Answers
Step-by-step explanation:
de hecho, la respuesta está en la imagen de arriba
Enlarge the triangle by scale factor 3
Answers
Answer:
The triangle will triple in size.
Which state ment is true regarding the graphed function
F(4)= g(4)
F(4)= g(-2)
F(2)= g(-2)
F(-2)= g(-2)
Answers
Answer:
F(-2)= g(-2)
Step-by-step explanation:
F(-2)= g(-2), both function have the same points of intersect.
EI NHS de Evergreen está diseñando un nuevo jardín.
El jardín será un rectángulo. Sea x el ancho del jardín.
La longitud del jardín será el doble del ancho más 4 pies.
Calcula el área y el perímetro del jardín.
¿Cuál es la expresión de la longitud?
Answers
Answer:
Area= 2(x^2 + 4)
Perímetro=6x + 8
Step-by-step explanation:
Ancho = x
Longitud = 2x + 4
Area= ancho × longitud
Area= x × 2x + 4
Area= 2x^2 + 4
Area= 2(x^2 + 4)
Perímetro= ancho+ancho+longitud+longitud
Perímetro=2ancho + 2longitud
Perímetro=2(x) + 2(2x+4)
Perímetro=2x + 4x + 8
Perímetro=6x + 8
Is 4/pi rational or irrational?
Answers
Answer:
Pi is an irrational number, same is pi/4.
Step-by-step explanation:
According to a bridal magazine, the average cost of a wedding reception for an American wedding is $8213. Assume that the average is based on a random sample of 450 weddings and that the standard deviation is $2185.a. What is the point estimate of the corresponding population mean
Answers
Answer:
Point estimate of the corresponding population mean = $8,213
Step-by-step explanation:
Given:
Average cost of a wedding reception (x) = $8,213
Total number of sample (n) = 450
Standard deviation = $2185
Find:
Point estimate of the corresponding population mean
Computation:
Average cost of a wedding reception (x) = Point estimate of the corresponding population mean
Point estimate of the corresponding population mean = $8,213
What is the quotient of ? 2^4/2^-4
Answers
Answer:
[tex] \frac{ {2}^{4} }{ {2}^{ - 4} } \\ = {2}^{4} . {2}^{4} \\ = {2}^{8} \\ = 256[/tex]
Answer:
2⁸
Step-by-step explanation:
2⁴ ÷ 2⁻⁴ = 2⁸
if the bases are the same and you're dividing then you subtract the exponents
A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .
Answers
Answer:
The smallest possible length is 0.83m
Step-by-step explanation:
Given
[tex]Volume = 565L[/tex]
Required
The smallest length of the tank
Since the tank is cubical, then the volume is:
[tex]Volume = Length^3[/tex]
This gives:
[tex]565L= Length^3[/tex]
Express as [tex]m^3[/tex]
[tex]\frac{565m^3}{1000} = Length^3[/tex]
[tex]0.565m^3 = Length^3[/tex]
Take cube roots of both sides
[tex]0.8267m = Length[/tex]
Rewrite as:
[tex]Length = 0.8267m[/tex]
Approximate
[tex]Length = 0.83m[/tex]
Twelve skateboards have 48 wheels. What is the value of the ratio of skateboards to wheels, in simplest form? A. 1/4 B. 4/12 C. 12/48 D. 16/20
Answers
Answer:
1/4
Step-by-step explanation:
Skateboards : wheels
12 : 48
Divide each part by 12
12/12 : 48/12
1 :4
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
There are Twelve skateboards have 48 wheels.,
we need to find the ratio of skateboards to wheels, in simplest form;
Hence,
Ratio of skateboard to wheel
[tex]\sf{\dfrac{skateboard}{wheels} }[/tex] [tex]\sf{\dfrac{12}{48} }[/tex] [tex]\sf{\dfrac{\cancel{12}^{^{1}}}{\cancel{48}_{_{4}}} }[/tex] [tex]\bold{\dfrac{1}{4} }[/tex]Anyone no how to do this?..
Answers
The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.
20 x 12
20 x 12= 240
12 x 12=144
So the first one will be:
240 x 144
Second:
96 x 96
Third:
96 x 114
Fourth:
240 x 196
Fifth:
240 x 240
Sixth:
120 x 240
Find the area of the triangle.
35 cm
24 cm
Answers
Answer:
A =420 cm^2
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh where b is the length of the base and h is the height
A = 1/2 ( 24) * 35
A =420 cm^2
Answer:
The area of triangle is 420 cm ².
Step-by-step explanation:
Given : -Base of triangle = 24 cmHeight of triangle = 35 cmTo Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-Using Formula
Area of triangle = 1/2 × base × height
substitute the values into the formula
Area of triangle = 1/2 × 24 cm × 35 cm
multiply,
Area of triangle = 1/2 × 840 cm ²
Divide, we get
Area of triangle = 420 cm ²
Therefore, The area of triangle is 420cm².
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answers
Answer: C) Next year, 7 out of every 60 students will be taking music.
Step-by-step explanation:
A is wrong because it is an opinion which a table cannot prove.
B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.
C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.
D is incorrect for the same reason B is incorrect except this time it says 120.
