The letters in the word MATHEMATICS are arranged randomly
What is the probability that the first letter is E?
What is the probability that the first letter is M?
Answers
The probability of the first letter being E or M is 1/11 for each.
To find the probability of certain events occurring, we need to know the total number of possible outcomes and the number of favorable outcomes.
In the word "MATHEMATICS," there are 11 letters in total.
a) Probability that the first letter is E:
There is only one letter E in the word, so the number of favorable outcomes is 1. The total number of possible outcomes is 11 (the total number of letters). Therefore, the probability is:
P(E) = favorable outcomes / total outcomes = 1/11
b) Probability that the first letter is M:
Similarly, there is only one letter M in the word, so the number of favorable outcomes is 1. The total number of possible outcomes is still 11. Therefore, the probability is:
P(M) = favorable outcomes / total outcomes = 1/11
So, the probability of the first letter being E or M is 1/11 for each.
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Related Questions
Consider a Feistel cipher with r rounds and n=128 (half the block length); ℓ=256(the key bit size). Then M={0,1} 24
(the plaintext space), C={0,1} 276
(the ciphertext space), and K={0,1} 2%
(the key space). A key scheduling algorithm determines subkeys k 1
,k 2
from a key K∈K={0,1} 206
. Each subkey k i
determines a function f i
:{0,1} 12×
→{0,1} 12×
. Eneryptio. takes r rounds: - Plaintext is m=(m 0
,m 1
) with m 0
,m 1
∈{0,1} 12κ
, - Round 1: (m 0
,m 1
)→(m 1
,m 2
) with m 2
=m 0
⊕f 1
(m 1
). - Round 2: (m 1
,m 2
)→(m 2
,m 3
) with m 3
=m 1
⊕f 2
(m 2
). - Round r: (m r−1
,m r
)→(m r
,m r+1
) with m r+1
=m r−1
⊕f r
(m r
). - The ciphertext is c=(m r
,m r+1
). For the Feistel cipher described above: Exercise 2 (Security of Feistel ciphers 1. Consider the above Feistel cipher with r=2 rounds. Is this Feistel cipher secure against an exhaustive key search attack, in the known-plaintext attack model? What does the complexity of such an attack depend on? Explain. 2. Consider the above Feistel cipher with r=2 rounds. Imagine a key scheduling algorithm that works as follows. Given K∈K={0,1} 2π
, set k 1
to be the leftmost 128 bits of K, and k 2
to be the rightmost 128 bits of K, then define f i
(x)=x∈
/
k i
. Show that this block cipher is totally insecure - that is, given a single plaintext-ciphertext pair (m,c), the secret key K can be easily recovered. Hint: linearity is the problem here.
Answers
Answer:
Step-by-step explanation:654\(\sqrt[n]{x} \sqrt[n]{x}\)I have alot of missing assignments I have to get done I have 5 more
Answers
Answer:
26741 and 12
Step-by-step explanation:
(1)
The area ( A) of a rectangle is calculated as
A = length × width , then
A = 221 × 121 = 26741
(2)
The area (A) of a triangle is calculated as
A = \(\frac{1}{2}\) × base × height , then
A= \(\frac{1}{2}\) × 8 × 3 = 4 × 3 = 12
compute (r) and (x) for (a) the ground state, (b) the first excited state, and (c) the second excited state of the harmonic oscillator.
Answers
To compute the values of (r) and (x) for the different states of the harmonic oscillator, we need to consider the wavefunction solutions for each state.
The wavefunctions for the harmonic oscillator are given by Hermite polynomials multiplied by a Gaussian factor. The energy eigenvalues for the harmonic oscillator are given by (n + 1/2) * h * ω, where n is the quantum number and ω is the angular frequency of the oscillator. (a) Ground State: The ground state of the harmonic oscillator corresponds to n = 0. The wavefunction for the ground state is: ψ₀(x) = (mω/πħ)^(1/4) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₀) is equal to 1/2 * h * ω. Therefore, for the ground state: (r) = 0 (since n = 0). (x) = √(ħ/(2mω)). (b) First Excited State:The first excited state corresponds to n = 1. The wavefunction for the first excited state is: ψ₁(x) = (mω/πħ)^(1/4) * √2 * (mωx/ħ) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₁) is equal to 3/2 * h * ω. Therefore, for the first excited state: . (r) = 1. (x) = √(ħ/(mω)). (c) Second Excited State:The second excited state corresponds to n = 2. The wavefunction for the second excited state is: ψ₂(x) = (mω/πħ)^(1/4) * (2(mωx/ħ)^2 - 1) * exp(-mωx²/2ħ) where m is the mass of the oscillator. In this state, the energy (E₂) is equal to 5/2 * h * ω.
Therefore, for the second excited state: (r) = 2. (x) = √(ħ/(2mω)). In summary: (a) Ground State: (r) = 0, (x) = √(ħ/(2mω)). (b) First Excited State: (r) = 1, (x) = √(ħ/(mω)). (c) Second Excited State: (r) = 2, (x) = √(ħ/(2mω)).
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How do you convert micrometers to centimeters?
Answers
Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
To convert micrometers to centimeters, you need to use the conversion factor between the two units. There are 10,000 micrometers in a centimeter.
Here are the steps to convert micrometers to centimeters:
1. Start with the number of micrometers you want to convert.
2. Divide the number of micrometers by 10,000 to get the equivalent number of centimeters.
3. The result is the number of centimeters equivalent to the given number of micrometers.
For example, if you want to convert 50,000 micrometers to centimeters, you would divide 50,000 by 10,000 to get 5 centimeters.
So, the conversion formula is:
centimeters = micrometers ÷ 10,000
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Bob set his watch 5 seconds behind, and it falls behind another 1 second every day. How
many days has it been since Bob last set his watch if the watch is 49 seconds behind?
Answers
Answer:
44 days
Step-by-step explanation:
(2x+27)° (3x-18)° (6x-23)°
Answers
Step-by-step explanation:
3x-18+2x+27=6x-23
5x+9=6x-23
-x=-32
x=32
3x-18=3×32 -18
=78°
2x+27=2×32+27
=91°
6x-23=6×32 -23
=169°
when is there sufficient evidence to reject the null hypothesis
Answers
There is sufficient evidence to reject the null hypothesis when the calculated test statistic exceeds the critical value associated with the chosen significance level.
In hypothesis testing, the null hypothesis (H0) represents the default assumption or claim that there is no significant difference or relationship between variables. The alternative hypothesis (Ha) represents the assertion that there is a significant difference or relationship.
To determine whether to reject or fail to reject the null hypothesis, we perform a statistical test using sample data. The test involves calculating a test statistic based on the data and comparing it to a critical value.
The critical value is determined based on the chosen significance level (α), which defines the probability of making a Type I error (incorrectly rejecting a true null hypothesis). Commonly used significance levels include 0.05 (5%) and 0.01 (1%).
If the calculated test statistic exceeds the critical value at the chosen significance level, then there is sufficient evidence to reject the null hypothesis. This implies that the observed data provide strong support for the alternative hypothesis.
On the other hand, if the calculated test statistic does not exceed the critical value, we fail to reject the null hypothesis. This means that the observed data do not provide enough evidence to support the alternative hypothesis, and we do not have convincing evidence of a significant difference or relationship.
To reject the null hypothesis, there must be sufficient evidence indicated by the calculated test statistic exceeding the critical value associated with the chosen significance level. The rejection of the null hypothesis suggests the presence of a significant difference or relationship between variables, while failure to reject the null hypothesis implies a lack of convincing evidence for such a difference or relationship. The determination is made based on the calculated test statistic and the critical value derived from the chosen significance level.
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What is the solution of quadratic equation 2x2 7x 6 0?
Answers
The solution of the equation is x = 2 , 3/2
What is equation ?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
A mathematical statement with two expressions that have the same value and the sign "equal to" between them is called an equation. Equations can be of several sorts, including linear, quadratic, cubic, and others.
Here a = 2 , b = -7 and c = 6
D = b² - 4ac
= (-7)² - 4×2×6
= 49 - 48
= 1
x = \(\frac{-b±\sqrt{b^{2} - 4ac} }{2a}\)
= (-b ± √D)/2a
= (-[-7] ± √1)/2×2
= (7+1)/ 4
x1 = 2
x2 = (7-1 )/4
= 3/2
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Marco has 10 quarts of water and 20 cups of milk. How much liquid does he have in all?
How do u solve it?
Answers
Answer:
15.0721 quarts
Step-by-step explanation:
20 cups= 5.0721 quarts
10 quarts+5.0721=15.0721 quarts
if you need to convert the quarts just search 15.0721 quarts to whatever you need to convert it too.
hope this helps
Triangle ABC has perimeter 22 cm.
AB = 8 CM
BC = 5cm
By calculation, deduce whether triangle ABC is a right-angled triangle.
Answers
Answer:
Triangle ABC is not a Right Triangle
Step-by-step explanation:
The perimeter of a triangle is all of the sides added together so we can model our equation like so:
AB + BC + CA = P
or
8 + 5 + CA = 22
We first combine like terms
13 + CA = 22
Then make the variable have no numbers on its side
13 + CA = 22
-13 -13
CA = 9
So now that we know what CA is, we can determine whether or not its a right triangle
We can use the Pythagorean Theorem for this:
a^2 + b^2 = c^2 (the '^' symbol means 'to the power of')
or
5^2 + 8^2 = 9^2
Now we Solve
5^2 = 25
8^2 = 64
9^2 = 81
25 + 64 =? 81
89 does not equal 81
So Triangle ABC is not a Right Triangle
A bottle of iron supplement has 45g of iron in 330ml of solution. How many grams of iron are in
100ml of solution?
Answers
Answer:
45 * 100 / 330 = amount in 100 ml of solution
13.6363636364 grams
Step-by-step explanation:
i need help with this please^^
Answers
Step-by-step explanation:
here's your solution
=> angle 3 and angle 8 are interior angles
we know that sum of both angle is 180°
=> angle 3 + angle 8 = 180°
=> angle 3 + 129° = 180°
=> angle 3 = 180° - 129°
=> angle 3 = 51°
now , angle 3 and angle 1 are vertical angle
hence both angle are equal
=> angle 1 = 51°
hope it helps 【€€】
To go on a rollercoaster a persons height, h must be over 140cm. Write this as an inequality
Answers
Answer:
h > 140cm
Step-by-step explanation:
The height (h) has to be over 140cm, so we will have the inequality sign opening to h because it's greater than 140cm (see above)
Cann someone pls pls help me with this one ignore the bottom question it was in the way.
Answers
Answer:
r=-24
Step-by-step explanation:
Step1: Add 4 to both sides
-2r - 4 + 4 > 44 + 4
-2r > 48
Step 2: Divide both sides by -2
-2r/ -2 > 48/ -2
r < -24
not all possibilities for this decision were tested. remember that when you have n simple conditions combined, you must test all n 1 possibilities.
Answers
The combinatorial testing method is an effective way of testing all possible options before making a decision.
When you are faced with a decision to be made, it is necessary that you make use of all the possible options before you. Failing to make use of all the options is like taking a shot in the dark and hoping to hit a target.
When you have N simple conditions combined, it is important that you test all N-1 possibilities for the best outcome. This implies that you must test all possible options before making a decision.
The simple conditions here refer to the different options that you may have before you. Each option is a simple condition. This means that if you have three different options to choose from, you have three simple conditions. The conditions may be combined in different ways, leading to different possibilities. You need to test all the possibilities before making your decision
This method of testing all possible options is known as the combinatorial testing method. It is a useful method for ensuring that you make the best decisions possible. It can be applied in a variety of fields such as engineering, medicine, and business. The method has been proven to be effective in ensuring that the best decision is made in any given scenario.
In conclusion, it is important to test all possible options before making a decision. This is because not all possibilities for the decision were tested.
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14) When did the high temperature occur?
Please help
Answers
Answer:
D; 15
Step-by-step explanation:
Because the highest point on the graph is at 15 (or 3 am), that would be the highest temperature. (Also, none of the other choices make sense; they are all at relatively low temperatures).
Select the correct answer. What is an approximate solution to this equation? 4/x-5= √x+3+2
Answers
Answer:
x = 0.37686455
Step-by-step explanation:
Answer: x≈0.37686455
Step-by-step explanation:
f(x) = -3 |x-1| +5; Find f(3)
Answers
Answer: f(3) = -1
Step-by-step explanation:
f(x) = -3 |x-1| +5
f(3), we just need to put 3 in for both the x
f(3) = -3 |3-1| +5
f(3) = -9 + 3 +5
f(3) = -1
A polygon has vertices A(3, 3), B(3, 6), and C(9, 3). Find the area of the polygon. NEED IT ASAP
Answers
Explanation:
The diagram is shown below.
Side AC is the base which is 6 units long (since 9-3 = 6)
Side AB is the height which is 3 units
area = base*height/2 = 6*3/2 = 18/2 = 9
PLEASE HELPPPPPPPPPPPPPPPPPPPP
The correlation coefficient between two quantitative variables is 0.8. What does the value of this correlation coefficient indicate about how well the model fits the data?
A.
The model is not a good fit.
B.
No conclusion can be drawn regarding how well the model fits the data.
C.
The model is a good fit.
D.
The correlation coefficient is not within the correct range.
Answers
Answer:
C. The model is a good fit
Step-by-step explanation:
PLS HELP ASAP!!!!! DUE IN 5 MIN!
Answers
Answer:
3^4 y^4
Step-by-step explanation:
Answer:
81y^(4)
Step-by-step explanation:
(-3y)^4
is the same as
-3y * -3y * -3y * -3y
which is
81y^4
6. Shana wants to buy her dad a shirt that costs $46.20 for his birthday in 7 weeks. She wants to save the same amount of money each week. How much does she need to save each week? A $0.66 B $6.00 C $6.60 D $66.00
Answers
Answer: C $6.60
Step-by-step explanation:
46.20 ÷ 7 = 6.6
So Shana should be saving $6.60 every week.
find the missing side. Round your answer to the nearest tenth.
Answers
Answer:
1) 14.7cm
2)13.7cm
Soh Cah Toa
Sin. Cos. Tan.
1) we have a opposite and adjacent so we're going to use tan.
48÷Tan(73)=14.6750
2) we have the hypotenuse and the adjacent so we use cos.
40×cos(70)=13.6808
What is the weight of a 24 square foot 2 inch thick aluminum plate with a unit weight of 15 lbs?
Answers
Weight of a 24 square foot, 2 inch thick aluminum plate will be: 720 lbs.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Given:
Weight of 1 square foot, 1 inch thick plate = 15 lbs.To find: weight of a 24 square foot, 2 inch thick aluminum plate
Finding:
By unitary method, we get:
Weight of 1 square foot aluminum plate = 15 lbs.
Weight of 24 square foot aluminum plate = 15(24) lbs = 360 lbs.
Again, by unitary method, we get:
Weight of 1 square foot, 1 inch thick aluminum plate = 15 lbs.
Weight of 24 square foot, 1 inch thick aluminum plate = 15(24) lbs = 360 lbs.
Weight of 24 square foot, 2 inch thick aluminum plate = 360(2) lbs = 720 lbs.
Hence, Weight of 24 square foot, 2 inch thick aluminum plate = 720 lbs.
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common ratio of the geometric sequence 6,42,294
Answers
9514 1404 393
Answer:
7
Step-by-step explanation:
If there is a common ratio, it can be found by finding the ratio of any two adjacent terms:
42/6 = 7
The common ratio is 7.
8. A restaurant bill before tax is $15.60. How much is a 15% tip for this bill?
Answers
Answer:
Step-by-step explanation:
the tip would be = 2.325 which rounds up to 2.33$ in total this would be17.83
help asap if you can pls an thank u!!!!!!!
Answers
The value of angle S is 53°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.
With this theorem we can say that
7x+2 = 4x+13+19
collecting like terms
7x -4x = 13+19-2
3x = 30
divide both sides by 3
x = 30/3
x = 10
Since x = 10
angle S = 4x+13
angle S = 4(10) +13
= 40+13
= 53°
Therefore the measure of angle S is 53°
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A trader bought 5 bags of rice for GH₵210.00 each if he sold them at a profit of 20% what was the selling price . pls give the step by step explanation
Answers
= GH₵ 210
Hence 5 bags cost
= 5 x 210
= GH₵ 1050
The trader sold them at a profit of 20% of the cost price
Hence the profit made
= 20% x 1050
=(20/100) x 1050
= GH₵ 210
The selling price
= cost price + profit
= 1050 + 210
= GH₵ 1260
Sam saved $35 buying the suit at a 20% off sale what was the regular price of the suit
Answers
Same bought it for $140. 20% of 175 is 140. And 175-35 is also 140. So 175 is the answer
What is the value of the expression 3a-b/6(b+a) when = 5 and b = -3?
Show your work to support your answer.
Answers
Step-by-step explanation:
3(5)-(-3)/6{(-3)+(5)}
15+3/6×2
6 is in denominator it'll cancelled by 2
18/3= 6 Answer
hope its clear
Answer:
Answer is 6
Step-by-step explanation:
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