how many strings of length 10 over the alphabet {a, b, c, a, b} have at least one b somewhere in the string
Answers
To find the number of strings of length 10 over the given alphabet {a, b, c, a, b} that have at least one "b" somewhere in the string, we can use the principle of complement.
Step 1: Find the total number of strings of length 10 over the given alphabet. Since each position in the string can be filled with any of the 5 characters {a, b, c, a, b}, there are a total of 5^10 possible strings.
Step 2: Find the number of strings of length 10 over the given alphabet that do not contain any "b". In this case, each position in the string can be filled with any of the 4 characters {a, c, a, a} (excluding "b"), so there are 4^10 strings without any "b".
Step 3: Find the number of strings of length 10 over the given alphabet that have at least one "b" somewhere in the string. We can do this by subtracting the number of strings without any "b" from the total number of strings. Therefore, the number of strings with at least one "b" is 5^10 - 4^10.
So, there are 5^10 - 4^10 strings of length 10 over the alphabet {a, b, c, a, b} that have at least one "b" somewhere in the string. This is the final answer.
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Related Questions
Simplify (3/√x) x^-1 . Write your answer in the form ax^n without using radicals. You can use the equation editor or typeset your answer with a ^and appropiate parentheses .
Answers
To simplify the expression \(\(\frac{3}{\sqrt{x}} \cdot x^{-1}\)\), we can apply the laws of exponents and rationalize the denominator.
First, let's rewrite the expression using fractional exponents:
\(\(\frac{3}{x^{1/2}} \cdot x^{-1}\).\)
Now, let's simplify the expression:
\(\(\frac{3}{x^{1/2}} \cdot x^{-1} = \frac{3x^{-1}}{x^{1/2}}\).\)
To simplify further, we combine the fractions by subtracting the exponents:
\(\(\frac{3x^{-1}}{x^{1/2}} = 3x^{-1 - 1/2} \\\\= 3x^{-3/2}\).\)
Finally, we can rewrite the expression in the desired form:
\(\(3x^{-3/2} = \frac{3}{x^{3/2}}\)\).
In conclusion, the simplified form of the expression \(\(\frac{3}{\sqrt{x}} \cdot x^{-1}\)\) is \(\(\frac{3}{x^{3/2}}\)\).
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The triangles shown below must be congruent.
151-
80⁰
10
O A. True
OB. False
51
80⁰
10
Answers
Answer:
false
Step-by-step explanation:
Given f(x)=-3x+5f(x)=−3x+5, find f(-6)f(−6).
Answers
Answer:
36
Step-by-step explanation:
When you multiply -6 x -6 you get 36.
Hope this helps:)
After 50 years, Helena's age will be three times her age now. How old is Helena now?
Answers
Answer:
25
Step-by-step explanation:
n + 50 = 3n
25 + 50 = 75
hope this helps...
Please help me on this question if you would want brianleist!! Tank yah!! ^^
Answers
Answer:
x axis
Step-by-step explanation:
where is the largest class interval placed on a frequency distribution?
Answers
Answer:
at the top
Step-by-step explanation:
the largest class interval is placed on the top on a frequency distribution
One afternoon Anne leave her house and walk 5 blocks north to the post office then she walk 2 blocks north to the bank finally she walk 3 blocks south to the coffee shop were is the coffee shop relative to her house
Answers
Answer:
B
Step-by-step explanation:
36:60 and 6:10 are they equivalente
Answers
Answer:
yes they are equivalent.
Step-by-step explanation:
6x6=36
10x6=60
by using the same factor we can tell that they are equivalent. We can also get to the answer by dividing 36 and 60.
In a video game, Shar ha to build a pen haped like a right triangle for the animal. If he need 16 feet of fence for the hortet ide and 20 feet of fence for the longet ide how many feet of fencing i needed for the entire animal pen?
Answers
Shar needs total of 48 Feet of fencing for the entire animal pen.
Pythagoras Theorem gives us a relation between the sides of right triangle . According to the Pythagoras , Square of hypotenuse if equal to sum of square of other two sides.
Right triangle has three side where longest side is given 20 feet and shortest side is 16
Using Pythagoras Theorem ,
(20)² = (16)² + (third side)²
(third side)² = 400 - 256
(third side)² = 144
taking square root
third side = 12 feet
Total feet required = 20 + 16 + 12
= 48 feet
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the amount of jen's monthly phone bill is normally distributed with a population mean of $86 and a population standard deviation of $9. between what two values are 68.26% of her phone bills? $ and $ . (your answers should be integers - no decimal places.)
Answers
If the amount of jen's monthly phone bill is normally distributed with a mean of $86 and standard deviation of $9, Between the values of $77 and $95 inclusive, 68.26% of Jen's phone bills are expected to fall.
To find the values between which 68.26% of Jen's phone bills lie, we need to use the properties of the normal distribution and the empirical rule.
The empirical rule states that for a normal distribution, approximately 68% of the data lie within one standard deviation of the mean. Therefore, we can find the values between which 68.26% of Jen's phone bills lie by calculating the range of values that are one standard deviation away from the mean.
Using the given population mean of $86 and population standard deviation of $9, we can calculate one standard deviation as follows:
One standard deviation = population standard deviation = $9
To find the lower and upper bounds for 68.26% of Jen's phone bills, we can subtract and add one standard deviation from the mean, respectively:
Lower bound = population mean - one standard deviation = $86 - $9 = $77
Upper bound = population mean + one standard deviation = $86 + $9 = $95
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A small regional carrier accepted 20 reservations for a particular flight with 19 seats. 16 reservations went to regular customers who will arrive for the flight. Each of the remaining passengers will arrive for the flight with a 55% chance, independently of each other. A. Find the probability that overbooking occurs.
b. Find the probability that the flight has empty seats
Answers
the probability of overbooking is 0.0334, or about 3.34%.To find the probability of overbooking, we need to determine the probability that more than 19 passengers will show up for the flight.
We know that 16 passengers are guaranteed to show up, so we need to consider the probability that at least four of the remaining passengers will also show up.
Let X be the random variable representing the number of additional passengers who show up for the flight. X can take on values from 0 to 4. We can use the binomial distribution to find the probability of each possible value of X:
P(X = k) = (n choose k) {multiply} p{power}k {multiply} (1-p){power}(n-k)
where n is the number of remaining passengers (4), p is the probability that a passenger shows up (0.55), and (n choose k) is the binomial coefficient.
P(X >= 4) = P(X = 4) + P(X = 3) + P(X = 2) + P(X = 1) + P(X = 0)
= (4 choose 4) x 0.55{power}4 x 0.45{power}0 + (4 choose 3) x 0.55{power}3 x 0.45{power}1 + (4 choose 2) x 0.55{power}2 x 0.452 + (4 choose 1) x 0.55{power}1 x 0.45{power}3 + (4 choose 0) x 0.55{power}0 x 0.45{power}4
= 0.0334
Therefore, the probability of overbooking is 0.0334, or about 3.34%.
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if you can travel 30 kilometers in 35 minutes, how long should it take to travel 150 kilometers? answer in units of minutes
Answers
Answer:
175 minutes
Step-by-step explanation:
30km in 35 minutes
×5 ×5
=150 km =175 mins
The time taken to travel 150 kilometers is 175 minutes.
It is required to find the time taken.
What is distance?The distance of an object can be defined as the complete path travelled by an object .Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Given:
You can travel 30km in 35 minutes.
According to given question we have,
30km = 35 minutes.
1 km= 35/30 minutes.
150 km=35*150/30 minutes
150 km = 175 minutes
Therefore, the time taken to travel 150 kilometers is 175 minutes.
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Find the coordinates of the circumcenter of the triangle with the vertices:
A(4, 12), B(14, 6), and C(-6, 2)
Answers
The coordinate of the circumcenter of the triangle is A'(9,9) , B' ( 4,4) and C' ( -2,7)
What is circumcenter of a triangle?Circumcenter of triangle is the point where three perpendicular bisectors from the sides of a triangle intersect or meet. The circumcenter of a triangle is also known as the point of concurrency of a triangle.
Also the circumcenter is the intersection point of the perpendicular bisectors of sides of a triangle. It is the centre of a triangle's circumcircle.
Since circumcenter Is the point of perpendicular bisector
the bisect of line AB (A') is (14+4)/2 , (12+6)/2 = (9,9)
the bisect of line BC (B') is (14-6)/2 , (6+2)/2 = (4,4)
The bisect of line AC (C') is( 4-6)/2 , (12+2)/2 = ( -2,7)
Therefore the the coordinates of the circumcenter of the A'(9,9) , B' ( 4,4) and C' ( -2,7)
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find the interval in which the function is negative.
f(x) = x^2 - 3x - 4
I. (- infinite, -1)
II. (-1, 4)
III. (4, infinite)
A. III only
B. II only
C. I, II
D. I, III
Answers
Answer:
B. II only . . . (-1, 4)
Step-by-step explanation:
The function factors as ...
f(x) = (x +1)(x -4)
The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...
(-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)
find the quadrilateral of 6cm 4cm 3cm 1.5cm
Answers
This trapezoid's angles would be 53.13 degrees, 90 degrees, 53.13 degrees, and so forth.
Describe angle.
A figure called an angle is created by two rays or lines that originate from the same point. The rays are referred to as the sides of the angle, and the point is known as the vertex. The angle determines how much the two sides rotate.
Since there are 360 degrees in a full rotation, an angle is typically measured in degrees. A right or straight angle can be acute, obtuse, or straight. Obtuse angles are greater than 90 degrees, right angles are exactly 90 degrees, and straight angles are 180 degrees.
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In a normal distribution with mean 120.0 and stanciard deviation 30.0 there are 300 variates between 130 and 150 . How many varlates are there in the whole distribution? (Round your answer
Answers
In a normal distribution with a mean of 120.0 and a standard deviation of 30.0, there are 300 variates between 130 and 150.
Here is the breakdown-
To find the number of variates in the whole distribution, we need to calculate the area under the curve between the lowest and highest values of the distribution.
In this case, the lowest value is 130 and the highest value is 150.
We can use the standard normal distribution table or a statistical calculator to find the area under the curve between these two values. The area represents the proportion of variates within that range.
Once we have the proportion, we can multiply it by the total number of variates (300) to find the actual number of variates in the whole distribution.
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Work out the following (+35) + (-33)
Answers
Answer:
2
Step-by-step explanation:
so (+35) can be written as 35 because it's automatically already positive. +(-33) can be written as -33 because of one negative sign and one positive sign (if it was two negative or two positive, it would be positive). it's the same as 35-33, and 35-33=2.
Answer:
(+35) + (-33)
⇒ 35-33
⇒2
FIND THE IF STATEMENTS
NO EXPLANATION PLS
1. (ax + ay)/(x * y ^ 2) * (x ^ 2 * y)/(3x + 3y)
2. (xy)/(a ^ 2 + a ^ 3) * (a + a ^ 2)/(x ^ 2 * y ^ 2)
3. (6a)/(x ^ 2 - x) * (2x - 2)/(3ax)
4. (x ^ 2 - 1)/(5xy) * (x ^ 2 * y)/(1 + x)
5. (8n ^ 2)/(m ^ 2 - 16) * (m ^ 2 - 4m)/(6n)
6. (a ^ 2 - b ^ 2)/(a ^ 2 - 3a) * (2a - 6)/((a + b) ^ 2)
7. (bx + 3b)/(x ^ 2 - 25) * ((x - 5) ^ 2)/(ax + 3a)
8. (3ab)/(4xy) / (- (21a ^ 2 * b)/(10x ^ 2 * y))
9. - 18a ^ 2 * b ^ 2 * 5cd / (- (9a * b ^ 3)/(5c ^ 2 * d ^ 4))
10. (a ^ 2 - 3ab)/(3b) / (7a - 21b)
PLS ANSWER QUICKLY
Answers
Note that the if statements are given as follows:
if (y == 0 || x == -y/3)if (a == 0 || x == 0 || y == 0)if (x == 0 || x == 1)if (y == 0 || x == -1)if (n == 0 || m == 4 || m == -4)if (a == 0 || a == 3 || a == -b)if (x == 5 || a == -3)if (a == 0 || x == 0 || y == 0)if (b == 0 || d == 0 || c == 0 || a == 0)if (b == 0 || a == 3b)What is the rationale for the above response?
(ax + ay)/(x * y ^ 2) * (x ^ 2 * y)/(3x + 3y)
Simplified: a/(y^2) * x/(3 + 3/y)
If Statement: if (y == 0 || x == -y/3)
(xy)/(a ^ 2 + a ^ 3) * (a + a ^ 2)/(x ^ 2 * y ^ 2)
Simplified: 1/(a + a^2) * 1/(x^2 * y)
If Statement: if (a == 0 || x == 0 || y == 0)
(6a)/(x ^ 2 - x) * (2x - 2)/(3ax)
Simplified: 2/(x - 1) * 2/3
If Statement: if (x == 0 || x == 1)
(x ^ 2 - 1)/(5xy) * (x ^ 2 * y)/(1 + x)
Simplified: (x - 1)/(5y) * x/(1 + x)
If Statement: if (y == 0 || x == -1)
(8n ^ 2)/(m ^ 2 - 16) * (m ^ 2 - 4m)/(6n)
Simplified: 2n/(m + 4) * 4/(3n)
If Statement: if (n == 0 || m == 4 || m == -4)
(a ^ 2 - b ^ 2)/(a ^ 2 - 3a) * (2a - 6)/((a + b) ^ 2)
Simplified: (a - b)/(a - 3) * 2(a - 3)/((a + b)^2)
If Statement: if (a == 0 || a == 3 || a == -b)
(bx + 3b)/(x ^ 2 - 25) * ((x - 5) ^ 2)/(ax + 3a)
Simplified: b/(x + 5) * (x - 5)^2/(a(x + 3))
If Statement: if (x == 5 || a == -3)
(3ab)/(4xy) / (- (21a ^ 2 * b)/(10x ^ 2 * y))
Simplified: -15/(14a) * x/y
If Statement: if (a == 0 || x == 0 || y == 0)
18a ^ 2 * b ^ 2 * 5cd / (- (9a * b ^ 3)/(5c ^ 2 * d ^ 4))
Simplified: 50a^3/(b^2) * c^2/d^4
If Statement: if (b == 0 || d == 0 || c == 0 || a == 0)
(a ^ 2 - 3ab)/(3b) / (7a - 21b)
Simplified: (a - 3b)/(9b) / 7(a - 3b)/b
If Statement: if (b == 0 || a == 3b)
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help with this ASAP please
Answers
Answer:
A'(3, 0)
B'(6, -1)
C'(2, -3)
TRUE OR FALSE the critical value of a hypothesis test is based on the researcher's selected level of significance.
Answers
Answer:
the answer is true. may I get brainliest
TRUE. The critical value of a hypothesis test is based on the researcher's selected level of significance.
The critical value of a hypothesis test is based on the researcher's selected level of significance. The level of significance represents the probability of rejecting a true null hypothesis, and it determines the critical value, which is the point beyond which we reject the null hypothesis. Therefore, the higher the level of significance, the lower the critical value, and the easier it is to reject the null hypothesis.
True, the critical value of a hypothesis test is based on the researcher's selected level of significance. The level of significance determines the threshold for rejecting or failing to reject the null hypothesis, and the critical value is a point on the test statistic's distribution that corresponds to this threshold.
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Select all of the expressions that are equivalent to 5% of 60. 1/20(60), 1/5 times 60, 0.05 times 60, 0.5 times 60, 0.5(60), 5/100 times 60
Answers
The expressions that are equivalent to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60
How to determine the expressions that are equivalent to 5% of 60?The expression is given as:
5% of 60
Express as fraction and decimal
5% of 60 = 5/100 * 60
5% of 60 = 0.05 * 60
This gives
5% of 60 = 1/20 * 60
Hence, the expressions that are equivalent to 5% of 60 are 5/100 * 60, 0.05 * 60 and 1/20 * 60
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help me with 43 pls 1.29 & 1.3 midpoint I'll mark brainliest
Answers
The midpoint of the given numbers (1.29 and 1.3) is 1.295
Calculating MidpointFrom the question, we are to calculate the midpoint of the given numbers
The given numbers are 1.29 and 1.3
To determine the midpoint of two numbers on a number line, we will add the two numbers together, and then divide value of their sum by 2
Adding up the numbers
1.29 + 1.3
= 2.59
Now, divide the result by 2
Dividing
2.59/2
= 1.295
∴ On the number line, the midpoint of the given numbers is 1.295
Hence, the midpoint of the given numbers (1.29 and 1.3) is 1.295
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Storytelling (x+1)^2020 how many terms
Answers
Step-by-step explanation:
there are 2021 terms
yep
the above image says that the number of terms is always n+1 when it involves(a+b)^n
The sum of the measures of the angles of a triangle is 180°. The middle-sized angle measures 3° more than 2 times the smallest angle. The middle-sized angle measures 109° less than the largest angle. Find the measure of each angle.
Answers
Answer:
13° , 29° , 138°
Step-by-step explanation:
let x be the smallest angle , then
2x + 3 is the middle angle and
2x + 3 + 109 is the largest angle
summing the 3 angles and equating to 180
x + 2x + 3 + 2x + 3 + 109 = 180 , that is
5x + 115 = 180 ( subtract 115 from 180 )
5x = 65 ( divide both sides by 5
x = 13
2x + 3 = 2(13) + 3 = 26 + 3 = 29
2x + 3 + 109 = 29 + 109 = 138
the 3 angles are 13° , 29° , 138°
A bag contains 5 yellows tickets numbered 1 through 5. The bag also contains 5 green tickets numbers 1 to five. You randomly pick a ticket. It is green or has a number greater than 4. Find the probability of tbhs occuring
Answers
Answer:
\(\frac{3}{5}\) or 0.6
Step-by-step explanation:
Given:
Number of yellow tickets = 5
Number of green tickets = 5
Total number of tickets = 5 + 5 = 10
Required:
Find the probability that a randomly picked ticket is green or has a number greater than 4
Use the formula:
P = probability of green tickets + probability of yellow tickets with numbers greater than 4
Yellow tickets with numbers greater than 4 = 1 ticket
Probability of picking a green ticket = \( \frac{5}{10} = \frac{1}{2} \)
Probability of picking a yellow ticket with number greater than 4 = \(\frac{1}{10}\)
Therefore, probability that a randomly picked ticket is green or has a number greater than 4
= \(\frac{1}{2} + \frac{1}{10} = \frac{6}{10}\)
\(= \frac{3}{5}\)
Probability that a randomly picked ticket is green or has a number greater than 4 = \(\frac{3}{5}\) or 0.6
2(x−3) = 2x + 15 how many solutions
Answers
Answer:
0
Step-by-step explanation:
2x-6=2x+15
2x-2x=15+6
0x/0=21/0
x=0
Common pictures sizes (in inches) are 4 × 6, 5 × 7, 8 × 10, 9 × 12, 11 × 14, 14 × 18, and 16 × 20.
Are any of these picture sizes similar? Use similarity transformations.
The picture sizes that are similar are blank and blank. Dilating the smaller picture size using a scale factor of blank results in the larger picture size.
What does your conclusion indicate about resizing pictures?
Because most of the common picture sizes (select) similar, when resizing pictures one of two things will occur: the picture will be distorted or part of the picture will need to be cropped out.
Answers
Therefore , the solution of the given problem of expression comes out to be not proportional to the original size.
What exactly does an expression mean?Calculations like random multiplication, division, joining, and presently removing are necessary. They would result in the following if combined: An equation, some statistics, and a mathematical formula. A statement of veracity is composed of values, components, mathematical processes like additions, subtractions, blunders, and segments, as well as formulae. Words and phrases can be evaluated and analysed.
Here,
In terms of image sizes,
=> 4x6 and 8x10, 5x7 and 14x18, and 11x14 and 16x20 are comparable.
The bigger picture size is produced by diluting the smaller picture size by a scale factor of two.
This finding suggests that scaling images can be challenging if the new scale does not match the original.
When an image is resized, it will become distorted if the aspect ratios of the two sizes are different.
A portion of the image must be cropped out to suit the new size if the angles are identical but the new size is not proportional to the original size.
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What is the heaviest element ever?
Answers
Oganesson (element 118) is the heaviest element ever discovered, with an atomic mass of 294. Its most stable isotope (294Og) has a half-life of 0.89 milliseconds.
Oganesson is a synthetic element, meaning that it can only be produced in the laboratory, not found in nature. Oganesson is part of the noble gas group and is expected to exhibit some noble gas properties, although its exact behavior is unknown. It is the heaviest element on the periodic table and its atomic number is 118.
It is the heaviest known element and is also the last element of the periodic table. It is a member of the noble gases and has the atomic number 118. It was discovered in 2002 and is named after the Russian physicist Yuri Oganessian. Its symbol is Og.
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Answer + method / explanation please
Answers
The expressions for the lengths of the segments obtained using vectors notation are;
a. i. \(\overrightarrow{LA}\) = q - (1/2)·p ii. \(\overrightarrow{AN}\) = (2/7)·(p - q)
b. The expressions for \(\overrightarrow{MN}\), \(\overrightarrow{LA}\), and \(\overrightarrow{AN}\) indicates;
\(\overrightarrow{MN}\) = (1/84)·(46·q - 11·p)
What are vectors?A vector is a quantity that has magnitude and direction and are expressed using a letter aving an arrow in the form, \(\vec{v}\)
a. i. \(\overrightarrow{LA}\) = \(\overrightarrow{BA}\) - \(\overrightarrow{LB}\) = \(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\)
\(\overrightarrow{BA}\) - (1/2) × \(\overrightarrow{CB}\) = q - (1/2)·p
\(\overrightarrow{LA}\) = q - (1/2)·p
ii. \(\overrightarrow{AC}\) = \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{AC}\)
\(\overrightarrow{AN}\) = (2/7) × \(\overrightarrow{BC}\) - \(\overrightarrow{BA}\)
\(\overrightarrow{AN}\) = (2/7) × (p - q)
b. \(\overrightarrow{MN}\) = \(\overrightarrow{MA}\) + \(\overrightarrow{AN}\)
\(\overrightarrow{MA}\) = (5/6) × \(\overrightarrow{LA}\)
\(\overrightarrow{LA}\) = q - (1/2)·p
\(\overrightarrow{AN}\) = (2/7) × (p - q)
Therefore;
\(\overrightarrow{MN}\) = (5/6) × ( q - (1/2)·p) + (2/7) × (p - q)
\(\overrightarrow{MN}\) = (1/84) × ( 70·q - 35·p + 24·p - 24·q) = (1/84)(46·q - 11·p)
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Is it possible to construct a triangle given the following lengths? 112 cm,
300 cm, 190 cm
Yes
No