Find the probability of picking 4 consonant and 1 vowels when 5 letters are picked (without replacement) from a set of alphabet tiles
Answers
The required probability is 0.45
We have total 26 letters in english, of which 21 are consonants and 5 are vowels.
According to the question, we have to select 5 of them of which 4 will be consonants and 1 will be vowel.
Suppose we want to have the vowel in the first selection, so the probability of picking a vowel is equal to the quotient between the number of vowels and the number of total number of letters.
So the probability is 5/26
Now, a letter has been selected, so in the set, we have 25 letters left.
In the next 4 selections, we must select consonants.
In the second selection the probability is 21/25
In the third selection the probability is 20/24
In the fourth selection the probability is 19/23
In the last selection the probability is 18/22
So, the probability is (5/26)×(21/25)×(20/24)×(19/23)×(18/22)
Now, remember that we take that the vowel must be in the first place, but it can be in any five places, so if we add the permutations of the vowel letter we have,
P = 5×(5/26)×(21/25)×(20/24)×(19/23)×(18/22) = 0.45
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Related Questions
If you take a number, times by 3 then add 5. You get the same as if you took the number, times by 7 then subtract 8. What is the number?
Answers
Answer: x = 13/4
Step-by-step explanation:
Easy, let's use x to define the number:
3x + 5 = 7x - 8
We take the 3x to the other side:
5 = 4x - 8
We take the 8 to the other side:
13 = 4x
x = 13/4
help help help!!!!!!
Answers
Answer:
144 degrees
Step-by-step explanation:
The exterior angles theorem states:
The exterior angles of a triangle = the sum of the interior angles that are NOT adjacent (touching) the exterior angles.
We can use this information to set up an equation:
x=48+96
x=144 degrees
30 point!!!! Help me fast!!!PLS!!Question is attached!!!
Answers
Answer:
This is an extremely easy question bro!
1. 3²
2. 3 (Base) ² (Exponent)
3. Expanded form: (9 * 1)
Standard form: 9
Step-by-step explanation:
Well, there's none.
Please mark me as Brainliest! Thanks! :)1) 5^3
2) Base = 5; Exponent = 2
3) Expanded Form = 5 * 5
Standard Form = 25
In a Normal model, what percent of data is between -1 and +1 standard deviations of the mean?
Answers
Answer:
It's 99. 7% 95% and 68% for std dev respectively
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Weights (ounces) of 17 digital cameras are listed (chosen at random): 14 13 8 15 19 15 35 8 17 10 9 17 21 7 15 11 24 Assume the sample is from a normally distributed population. Construct the confidence intervals for the population variance. Use a 95% level of confidence.
Answers
Thus, the 95% confidence interval for the population variance is (54.95, 1274.12) ounces^2. This means that we are 95% confident that the true variance of the population lies within this interval.
To construct the confidence interval for the population variance of the given sample, we can use the Chi-square distribution.
Since we are given a 95% level of confidence, the critical values for the Chi-square distribution with degrees of freedom (df) equal to n-1 (n=17) and a significance level of 0.05/2 (two-tailed test) are 7.261 and 28.412, respectively.
Using the formula (n-1)s^2/χ^2(df,α/2) and (n-1)s^2/χ^2(df,1-α/2), where s^2 is the sample variance and α is the significance level, we can calculate the lower and upper bounds of the confidence interval. Substituting the given values, we get:
Lower bound: (17-1)×(98.5294)/28.412 = 54.9471
Upper bound: (17-1)×(98.5294)/7.261 = 1274.1194
Therefore, the 95% confidence interval for the population variance is (54.95, 1274.12) ounces^2. This means that we are 95% confident that the true variance of the population lies within this interval.
It is important to note that this interval does not contain any negative values, which is expected for a variance measure. Also, since the sample is assumed to be from a normally distributed population, this assumption should be checked using appropriate tests or techniques.
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gas is 2.09 per gallon if nate filled up his car and spent 33.44 how many gallons did he put in his car
Answers
He puts 16 gallons
Answer:
16 gallons
Step-by-step explanation:
33.44 divided by 2.09 is 16, so he put 16 gallons in his car.
Guys, I need help ASAP!!
The standard deviation of the following data set is 0.31. 95% of the data would fall in which range?
4.3, 5.1, 3.9, 4.5, 4.4, 4.9, 5.0, 4.7, 4.1, 4.6, 4.4, 4.3, 4.8, 4.4, 4.2, 4.5, 4.4
Pr (3.88 ≤ X ≤ 5.12)
Pr (2.67 ≤ X ≤ 5.33)
Pr (4.19 ≤ X ≤ 4.81)
Pr (3.57 ≤ X ≤ 5.43)
Answers
Answer:
Step-by-step explanation:
Answer is "B"
How does an earthquake of magnitude 7.9 compare in intensity with an earthquake of magnitude of 3.5 on the Richter scale?
Answers
This means that an earthquake of magnitude 7.9 is 10^4 (or 10,000) times more intense than an earthquake of magnitude 3.5.
What is earthquake?An earthquake is a sudden shaking of the ground caused by the shifting and breaking of large pieces of rock beneath the Earth's surface. Earthquakes can be caused by a variety of factors including the shifting of tectonic plates, volcanic activity, and underground explosions.
An earthquake of magnitude 7.9 is significantly more intense than an earthquake of magnitude 3.5 on the Richter scale. The Richter scale is logarithmic, meaning that each whole number increase in magnitude corresponds to an increase in shaking intensity by a factor of 10. This means that an earthquake of magnitude 7.9 is 10^4 (or 10,000) times more intense than an earthquake of magnitude 3.5.
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Hows the weather today..?
Answers
Answer:
good
Step-by-step explanation:
solve the following system of equations using the substitution method. –6x 2y = 8 y = 3x 4 question 9 options: a) no solution b) (0, 4) c) infinitely many solutions d) (8, 8)
Answers
The correct answer is option c) infinitely many solutions..
To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.
Given:
-6x + 2y = 8 ---(1)
y = 3x + 4 ---(2)
Substitute equation (2) into equation (1):
-6x + 2(3x + 4) = 8
Simplify:
-6x + 6x + 8 = 8
8 = 8
We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.
Therefore, the correct answer is option c) infinitely many solutions..
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HELP PLS!!!
What is the correct graph of the equation, y = -2x - 6
Answers
This is because the -6 represents the y-intercept and D is the only one where it passes through -6
Answer:
-6
x+y= 16
y=-x-6
and so the y- is -6
Can someone help me with fill the blanks of this pls? It’s about geometry
Answers
Answer:
see below
Step-by-step explanation:
2: letter at the vertex, placing a letter or number inside .... , or by using 3 letters
3:
WXY
WXZ
YXZ
4: X
The product of a number and 7 is 6.
Answers
Answer:
0,8571
Step-by-step explanation:
7 ÷ 6 = 0,8571
7 · 0,8571 = 5,9997 ≈ 6
A dozer with as S-blade has pushed a normal load onto a level area. The height of this load measured at the inside edge of each track was 7 ft and 7.4 ft. The width of the load at the inside edge of each track was 8.1 ft and 8.4 ft. The greatest length of the pile was 16 ft. What is the capacity of the blade
Answers
The capacity of the blade is approximately 936 cubic feet.
To determine the capacity of the blade, we need to calculate the volume of the load pushed by the dozer. We can approximate the load as a rectangular prism and use the given measurements to find its volume.
The average height of the load can be calculated by taking the average of the height measurements at the inside edge of each track:
Average Height = (7 ft + 7.4 ft) / 2 = 7.2 ft
The average width of the load can be calculated similarly:
Average Width = (8.1 ft + 8.4 ft) / 2 = 8.25 ft
The length of the pile does not affect the capacity of the blade, so we can disregard it for this calculation.
Now, we can calculate the volume of the load:
Volume = Average Height x Average Width x Length
= 7.2 ft x 8.25 ft x 16 ft
= 936 ft³
Therefore, the capacity of the blade is approximately 936 cubic feet.
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75+ In an academy, there are two batches of students studying for their Green Belt exam. Both batches are instructed to study for 16 hours to prepare for the exam without any variation. You have recorded the time it took for each individual to prepare for the Green Belt exam. To identify the variance in the performance of these two batches, you carry out a 2-Variance test. The results are shown in the given diagram. You have to identify if the variance in study time between the two batches is significantly different. Assume the data is normally distributed. . Testa Method Test normal) Lerene's Test any continua Teat DEL DF2 Statistie Value 1919 0.42 131 0.063 0.074 Since the p-value of F test is greater than 005, it is concluded with 95% confidence that the variance in study time of Batch 1 is significantly different than the variance in study time of Batch 2. Since the p-value of Levene's test is greater than 005, it is concluded with 95% confidence that the variance in study time of Batch 1 is significantly different than the variance in study time of Batch 2. 2. . Since the p-value of F test is greater than 0.05, it is concluded with 95% confidence that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Since the p-value of Levene's test is greater than 0.05, it is concluded with 95% confidence that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2.
Answers
The F-test is used to compare two population variances and determine if they are significantly different from each other. When conducting an F-test, the null hypothesis states that the two population variances are equal, and the alternative hypothesis states that the variances are different.
In the given diagram, the F-statistic is calculated as 1.919 with a p-value of 0.063. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (2) is the correct answer.
The Levene's test is used to determine if the variances of two populations are equal or not. If the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variances are equal. In the given diagram, the Levene's test statistic is calculated as 0.42 with a p-value of 0.74. Since the p-value is greater than 0.05, we fail to reject the null hypothesis and conclude that the variance in study time of Batch 1 is NOT significantly different than the variance in study time of Batch 2. Therefore, option (4) is incorrect.
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What is the slope of any line parallel to the line 2x+3y=11?
1. - 2/3
2. 2/3
3. 2
4. - 2
Answers
Hope this helps
Have a great day/night
Feel free to ask any questions
what’s the end behavior of g(x)=10x^9-50x^6-500x^2
Answers
Answer:
It falls to the left and rises to the right.
Step-by-step explanation:
The polynomial function is given as;
g(x) =10x^(9) - 50x^(6) - 500x²
In this polynomial, the leading coefficient is 10. This is positive and also an even number and thus it means the graph will rise to the right.
Also, the degree of the polynomial is 9 since that's the highest degree of x. This degree is odd and it means the graph will point in the opposite direction to that of the leading coefficient. Thus, we can say it falls to the left.
So in summary, the end behavior of the graph of g is that it falls to the left and rises to the right.
Liya has one 30-ounce jar of pink paint. The ratio of white paint to red paint in the jar is 3 : 7. Liya doesn’t like the shade of pink so she moves the paint into a 128-ounce container and adds more white and red paint to fill the container. If the new ratio of white paint to red paint is 3 : 5, how many more ounces of white paint does she add to make the new shade of pink paint?
Answers
Answer:
8
Step-by-step explanation:
% what is the general relationship between the probability function (or probability % density), f(t), and its associated cumulative probaility function, f(t)?
Answers
The PDF describes the rate at which probability is accumulating around a given point, while the CDF gives the probability that the random variable takes on a value less than or equal to a given value.
The probability density function (PDF) and cumulative distribution function (CDF) are two different ways of representing the same information about a probability distribution.
The PDF gives the probability density of a continuous random variable at a particular point in its domain. In other words, the PDF gives the rate at which the probability is accumulating around a given point. The area under the PDF curve between two points represents the probability of the random variable taking on a value between those two points.
On the other hand, the CDF gives the probability that a random variable is less than or equal to a given value. The CDF is the integral of the PDF from negative infinity up to that value.
Therefore, the CDF and PDF are related by integration: The CDF is the integral of the PDF, and the PDF is the derivative of the CDF.
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The given question is incomplete, the complete question is:
What is the relationship between the cumulative distribution function and the probability density function?
Please help the best you can!!
Answers
Let A={ { }, 4, 5}. Write out the elements of the power set of
A.
Answers
The power set of A, denoted as P(A), is {{}, {4}, {5}, {4, 5}, {4, 5}}.
The power set of a set A is the set of all possible subsets of A, including the empty set and the set itself. In this case, the set A contains three elements: an empty set {}, the number 4, and the number 5.
To find the power set of A, we need to consider all possible combinations of the elements. Starting with the empty set {}, we can also have subsets containing only one element, which can be {4} or {5}. Additionally, we can have subsets containing both elements, which is {4, 5}. Finally, the set A itself is also considered as a subset.
Therefore, the elements of the power set of A are: {{}, {4}, {5}, {4, 5}, {4, 5}}. It's worth noting that the repetition of {4, 5} is included to represent the fact that it can be chosen as a subset multiple times.
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a. We want to select a random sample of five dealers. The random numbers are 05, 20, 59, 21, 31, 28, 49, 38, 66, 08, 29, and 02. Which dealers would be included in the sample
Answers
The five dealers included in the sample are: Dealer 02: 05, Dealer 06: 28, Dealer 09: 38, Dealer 03: 08, Dealer 11: 66
To select a random sample of five dealers from the given random numbers, we need to use a method known as random sampling without replacement, which ensures that no dealer is selected more than once.
Here are the steps to select a random sample of five dealers from the given random numbers:
Step 1: List all the dealers using the given random numbers in ascending order.02, 05, 08, 20, 21, 28, 29, 31, 38, 49, 59, 66
Step 2: Assign each dealer a number between 01 and 12. Dealer 01 corresponds to 02, dealer 02 corresponds to 05, dealer 03 corresponds to 08, and so on.
Step 3: Generate five random numbers between 01 and 12 using a random number generator or by drawing numbers from a hat. For instance, let's assume that the five random numbers we get are 02, 06, 09, 03, and 11.02 corresponds to dealer 05, 06 corresponds to dealer 28, 09 corresponds to dealer 38, 03 corresponds to dealer 08, and 11 corresponds to dealer 66.
Therefore, the five dealers included in the sample are: Dealer 02: 05, Dealer 06: 28, Dealer 09: 38, Dealer 03: 08, Dealer 11: 66
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simplify.
x⁴y²/x²y*6
Answers
Answer:
x^2y^-4
Step-by-step explanation:
Answer:
i think the answer is x²y/6
create a table of values for the graph 3x+2y=12 where the values of x are from -1 to 3
Answers
Answer:
The answer is down below
Step-by-step explanation:
2y=12-3x
\(y = \frac{12}{2} - \frac{3x}{2} \)
\(y = 6 - \frac{3x}{2} \)
when x= -1;y=15/2
when x=0;y=6
when x=1;y=9/2
when x=2;y=3
when x=3;y=3/2
The table of values for the given linear equation would be (-1, 6), (0, 6), (1, 4.5), (2, 3), and (3, 1.5). These are obtained by substituting the x values into the equation and solving for y.
Explanation:To create a table of values for the graph of the linear equation 3x + 2y = 12, you can substitute the given x values into the equation and solve for y. Because this is a linear equation, each x value corresponds to a single y value.
Arrange your calculations in a table. The column on the left shows the x-values, while the column on the right shows the corresponding y-values. You should have an ordered pair (x, y) for each x value from -1 to 3. Your table should look like this:
(-1, 6) (0, 6) (1, 4.5) (2, 3) (3, 1.5)
The y-values are obtained by plugging the x-values into the equation and solving for y: 2y = 12 - 3x, therefore, y = (12 - 3x)/2.
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7th grade: CAN SOMEONE PLEASE SOLVE JUST THE TABLES ONLY
Answers
Answer:uh
Step-by-step explanation:
to complete the equation and
Use the graph to determine which values can be used
x^2/a^2 - y^2/b^2= 1.
a:
b:
Answers
Answer:
/9AZ+ 1AL+4UE, 1, 5Z0 971 349 BG, -, 5Z0 971 349 BG -. (1). PR-9AA/9AZ+ 1AC+4UA. PR-9AA/9AZ+ 1AC+4UA, 1, 5Z0 971 349 AR, -, 5Z0 971 349 AR
Step-by-step explanation:
Answer:
A:5
B:12
Step-by-step explanation:
Can anyone help with this?
Answers
Answer: 1. Not a right triangle 2. Right Triangle 3. Right triangle 4. Right triangle 5. Not a right triangle
Step-by-step explanation:
the right triangle has to have a pattern to go by, so only evens or only odd sides.
What is the slope? x = -5
Answers
Answer:
A vertical line has an undefined slope. So the equation x=−5 has no defined slope and no y-intercept
Step-by-step explanation:
10/5(2)
it’s 10 dived by 5 (2)
a.1 or 2.4
Answers
Answer:
yes the answer is 2
Step-by-step explanation:
you're welcome
AB = AC and D i the mid-point of BC. (i) State the three pair of equal part in
∆ADB and ∆ADC
Answers
It is proved that 1) AB = AC, 2) angle B = angle C fo the given triangles.
What is triangle?A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.
Accprding to question:Here in Delta ADB and Delta ADC.
i) Three pair of equal parts are:
AD = AD ( common side )
BD = CD ( as d is the mid point of BC)
AB = AC (given in the question)
ii) Now,
by SSS Concurrency rule,
Delta ADB\cong \Delta ADC
iii) As both triangles are congruent to each other we can compare them and say
angle B = angle C.
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Complete question:
In figure AB=AC and D is the mid point of BC state the 3 pairs of equal parts in
Triangle ADB and triangle ADC
is ADB= ADC? give reason
is <B = <C? why?
PLEASE ANSWERRR ASAP