In international morse code, each letter in the alphabet is symbolized by a series of dots and dashes: the letter a, for example, is encoded as "· –". what is the min- imum number of dots and/or dashes needed to represent any letter in the english alphabet?
The minimum number of dots and/or dashes needed to represent any letter in the English alphabet in Morse code is one. The letters 'E' and 'T' each use one symbol, dot and dash respectively.
Explanation:In International Morse code, each letter in the English alphabet is represented by a unique combination of dots and dashes. In regards to your question - the minimum number of dots and/or dashes needed to represent any letter in the English alphabet is one. The English letters 'E' and 'T' are represented by the single symbols "." (dot for 'E') and "-" (dash for 'T') respectively. Hence, this is the minimum for symbolizing any letter.
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Of all the Sunny Club members in a particular city, 25% prefer swimming on weekends and 75% prefer swimming on weekdays. It is found that 10% of the members in that city prefer swimming on weekends and are female, while 55% of the members in that city prefer swimming on weekdays and are female. The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is . NextReset
Answer: There is a probability that a club member picked randomly is female, given that the person prefers swimming on weekends is 40%.
Step-by-step explanation:
Let E₁ be the event that members prefer swimming on weekends.
Let E₂ be the event that members prefer swimming on weekdays.
Let A be the event that the members are female.
Probability that members prefer swimming on weekends P(E₁) = 25%
Probability that members prefer swimming on weekdays P(E₂)= 75%
Probability that members prefer swimming on weekends and are female PA∩E₁)= 10%
Probability that members prefer swimming on weekdays and are female P(A∩E₂) = 55%
Using Conditional theorem, we will find the probability that a member is female given that the the person prefers swimming on weekends.
[tex]P(A\mid E_1)=\dfrac{P(A\cap E_1)}{P(E_1)}\\\\P(A\mid E_1)=\dfrac{10}{25}\\\\P(A\mid E_1)=0.4\\\\P(A\mid E_1)=0.4\times 100\%=40\%[/tex]
Hence, there is a probability that a club member picked randomly is female, given that the person prefers swimming on weekends is 40%.
How much fruit juice (100%) is equivalent to 1 cup of fresh fruit?
a. 1/4 cup
b. 1 cup
c. 1 1/2 cups
d. 2 cups
e. 1/2 cup?
1 cup of fruit juice is equivalent to 1 cup of fresh fruit.
Option B is the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1 cup of fresh juice.
Fresh juice and 1 cup of fresh fruit are the same.
So,
Fresh juice = 1 cup
Thus,
1 cup of fruit juice is equivalent to 1 cup of fresh fruit.
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If you earn 30K a year and are taxed 10% what's your gross income and net income
[1] seven conference calls are scheduled this morning between 10 and 11
a.m. [2] as a general rule, the company limits the number of conference calls to three per hour. [3] in the future, we should be more careful about scheduling calls. which sentence contains a flabby expression
Final answer:
The flabby expression is found in the sentence 'In the future, we should be more careful about scheduling calls,' which can be more concisely stated as 'In the future, we should schedule calls more carefully.'
Explanation:
The sentence that contains a flabby expression is: "In the future, we should be more careful about scheduling calls."
Flabby expressions are phrases or sentences that are wordy and can be expressed more concisely without losing their meaning. The sentence could be more directly stated as "In the future, we should schedule calls more carefully." By removing unnecessary words, the sentence becomes clearer and more to the point. Flabby expressions are usually considered poor writing style because they can make sentences needlessly long and obscure the main point.
Label the terms in the expression as constant, linear, and quadratic. 4x2 + 3x - 6
Mrs. Hicks has 35 students in her chemistry class. The ratio of girls to boys is 3:4. How many girls does she have in her class? Let both antecedents represent girls and let both consequence represent total students.
Party favors are on sale for $2.40 each. You have $380 to spend on the decorations and gifts, and you have already spent $270 on decorating. Write and solve an inequality to find the number of party favors you can buy.
Hence, the number of party favors you can buy is $[tex]45[/tex].
What is inequality?
An inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Here given that,
Party favors are on sale for $[tex]2.40[/tex] each. You have $[tex]380[/tex] to spend on the decorations and gifts, and you have already spent $[tex]270[/tex] on decorating.
So,
[tex]380-270=[/tex] $[tex]110[/tex]
To find the number of party favors you can buy, we divide $[tex]110[/tex] by the favors that are on sale for $[tex]2.40[/tex] is
[tex]\frac{110}{2.40}[/tex] = $[tex]45[/tex]
Hence, the number of party favors we can buy is $[tex]45[/tex].
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What is the fractional notation for 0.097
What symbol is used to identify the standard error of m??
Which function has a simplified base of 4 ^3 sqrt 4?
Final answer:
The function in question involves simplifying the base 4^3 multiplied by the square root of 4. Through understanding exponent rules and square root operations, this simplifies to 128, demonstrating the importance of algebraic fundamentals.
Explanation:
Understanding the Simplified Base of 4^3 \sqrt{4}
The question asks which function has a simplified base of 4^3 \sqrt{4}. Simplifying this expression requires understanding of exponent rules and square roots. The cube of 4, or 4^3, equals 64. The square root of 4 is 2, hence \(\sqrt{4}\) simplifies to 2. Combining these, we see that 4^3 multiplied by \(\sqrt{4}\) equals 64 * 2 = 128.
To put this into perspective, we would express the original operation as 4 raised to the power of 3 and then multiplied by the square root of 4, which can also be depicted as 4^3 * 2 since \(\sqrt{4} = 2\). Thus, the simplified base is not a direct function but rather an arithmetic operation resulting in 128.
It's crucial to note that while operations like these involve basic principles of exponents and roots, each step must be carefully followed to ensure accuracy. The concept behind these operations is grounded in the mathematical principles of handling integers, powers, and roots, highlighting the importance of solid fundamentals in algebra.
Find the difference 51/4 - 2 3/4
Tamar is thinking of a number in the hundredths. Her number is greater than 0.8 and less than 0.9. The greatest digit in the number is in the hundredths place. What number is Tamar thinking of? Explain.
Answer:
Therefore, Tamar is thinking of the number 0.89.
Step-by-step explanation:
Let x be the number Tamar is thinking of.
0.8 < x < 0.9
Since the greatest digits in the hundreths is greater digit, and there's an "8" in the tenths, the number can described as:
0.88< x < 0.9
There is only a single number in the hundredths that would fit the expression above, and that is 0.89.
Therefore, Tamar is thinking of the number 0.89.
Answer:
Let the be the number Tamar is thinking of. So from the above question,
0.8 < t < 0.9
Note that the greatest digits in the hundreths is greater digit, and there's an "8" in the tenths, the number can described as:
0.88< x < 0.9
There is only a number in the hundredths that would fit and that is 0.89.
Therefore, t = 0.89.
Step-by-step explanation:
A helicopter is hovering 110 feet in the air over a landing pad. If a man sees the helecopter at an angle of elevation of 29°, which of the following shows how far the man is from the helicopter landing pad?
Answer:
198.44 feet
Step-by-step explanation:
use multiplication to create an equivalent fraction 6/5
Prove that the expression 2x(x–6)–3(x2–4x+1) is negative for all values of x.
What is the solution to this equation? -4x + 2 = 26 A. x = 7 B. x = 6 C. x = -7 D. x = -6
Two boxes contained 155 lb of flour. If you take 20 lb from the first and add it to the second, the first box will contain 12/19 of what is now in the second. What amount of flour was originally in each box?
Answer:
it is 80 and 75
Step-by-step explanation:
I go to RSM and when I answered this answer it said that it was correct
According to an automobile association of america report, 9.6% of americans traveled by car over the 2011 memorial day weekend and 88.09% stayed home. what is the probability that a randomly selected american stayed home or traveled by car over the 2011 memorial day weekend? p(stayed home or travelled by car)=
Answer:
First Part: 0.9769
Second Part: Some Americans may have traveled by other means
Step-by-step explanation:
First Part: You add 9.6 to 88.09 and put it in decimal form.
Second Part: Some Americans may have traveled by other means.
A scientific journal recently reported that there are currently 2,400 black rhinos in the world. The population of black rhinos is declining at a rate of 10% each year. Which of the following graphs represents the population of black rhinos, y, after x years?
Answer: the answer is B
Step-by-step explanation:
Answer:
The answer would be B
Step-by-step explanation:
Plato users i am 100% percent right trust me.
The first term of an arithmetic sequence is -3 and the fifteenth term is 53. What is the common difference of the sequence? 14/13 25/7 4
The common difference of the arithmetic sequence is:
4
Step-by-step explanation:We kn ow that if the first term of an arithmetic sequence is a and d is the common difference of the sequence then the nth term of the sequence is given by the formula:
[tex]a_n=a+(n-1)d[/tex]
Here we are given:
[tex]a=-3[/tex]
and
[tex]a_15=53\\\\i.e.\\\\a+(15-1)d=53\\\\i.e.\\\\a+14d=53[/tex]
Now using the value of a we have:
[tex]-3+14d=53\\\\i.e.\\\\14d=56\\\\i.e.\\\\d=4[/tex]
Find the annual interest rate.
I = $54, P = $900, t = 18 months
We have been given that
[tex]I = $54, P = $900, t = 18 \text{ months
}[/tex]
We know the formula,
[tex]I=Prt[/tex]
On substituting the given values, we get
[tex]54=900\cdot r\cdot \frac{18}{12}\\\\r=\frac{54\cdot 12}{900\cdot 18}\\\\r=\frac{1}{25}\\\\r=0.04\\\\r=4\%[/tex]
The annual rate interest is 4%
The factorization of x2 + 3x – 4 is modeled with algebra tiles.What are the factors of x2 + 3x – 4?
The factors of x^2 + 3x – 4 are (x + 4) and (x - 1), found by determining the factors of -4 that add up to 3.
Explanation:The factors of x2 + 3x – 4 can be found using the method of factoring quadratics. To factor this quadratic expression, we look for two numbers that multiply to give the constant term (-4) and add to give the coefficient of the middle term (3). Those numbers are 4 and -1, as 4 × -1 = -4 and 4 + (-1) = 3. Therefore, the expression can be factored into (x + 4)(x - 1).
Visualizing with algebra tiles or drawing on the concepts of geometric representation of polynomials, we can understand that this factoring corresponds to breaking down the area of a rectangle (represented by x2 + 3x – 4) into two smaller rectangles whose dimensions give the factors (x + 4) and (x - 1).
if f(x) = 2x+1/x-4, what is the value of f^-1 (3)?
As per the inverse of a function, the value of [tex]f^{-1}(3)[/tex] is 13.
What is the inverse of a function?"An inverse function is defined as a function, which can reverse into another function."
The given function is
[tex]f(x) = \frac{2x+1}{x-4}[/tex]
⇒ [tex]y = f(x) = \frac{2x+1}{x-4}[/tex]
⇒ [tex]xy - 4y = 2x + 1[/tex]
⇒ [tex]xy - 2x = 4y + 1[/tex]
⇒ [tex]x(y - 2)= 4y + 1[/tex]
⇒ [tex]x = \frac{4y+1}{y-2}[/tex]
⇒ [tex]f^{-1}(x) = \frac{4y+1}{y-2}[/tex]
Now, [tex]f^{-1}(3) = \frac{4(3)+1}{3-2} = (12+1) = 13[/tex]
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im having trouble with this word problem. A train travels 160 km in the same time that a plane covers 720 km. if the speed of the plane is 20 km per hour less than 5 times the speed of the train, find both speeds. Not sure how to solve.
The speed of the train is 40 km/h, and the speed of the plane is 180 km/h.
To solve the word problem regarding the speeds of a train and a plane, we first let the speed of the train be x km/h. According to the problem, the plane's speed is 20 km/h less than 5 times the speed of the train, which can be expressed as 5x - 20 km/h. Since they both travel the same amount of time, we can set up an equation based on their speeds and distances traveled:
Time taken by the train = Distance / Speed of the train = 160 / x
Time taken by the plane = Distance / Speed of the plane = 720 / (5x - 20)
Since the time is the same for both:
160 / x = 720 / (5x - 20)
Cross-multiply to solve for x:
160(5x - 20) = 720x
800x - 3200 = 720x
80x = 3200
x = 40
In mathematics, central tendency is the tendency of data values to cluster around some central value. What does a measure of variability tell you about the central tendency of a set of data? Explain.
I'm barely on question 13 out of 25, need to speed up can someone help out
Merle Fonda opened a new savings account. She deposited $40,000 at 10% compounded semiannually. At the start of the fourth year, Merle deposits an additional $20,000 that's also compounded semiannually at 10%. At the end of six years, what's the balance in Merle's account?
Answer:
93,600.16
Step-by-step explanation:
The circumference of a circle is 10π cm. What is the Radius of the circle? A) 4 cm B) 5 cm C) 10 cm D) 20 cm
ASAP
Natasha ran 3.1 kilometers. Tonya ran 4 meters more than half as far as Natasha. How many meters did Tonya run?
Answer: 1554
It is correct from the math answer keys
Tonya run 1,554 meters.
Define distance ?
"Distance is the total path travelled by an object without considering the direction. "
Value used
1kilometer = 1000meters
According to the question,
Let x represents distance run by Tonya
Natasha ran = 3.1 kilometers
= 3100 meters
Therefore,
x = (3100 / 2) + 4
⇒ x = 1554 meters
Hence, Tonya run 1,554 meters.
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