How many subsets of the set m,a,t,h,c,o,u,r,s,e contain at least one vowel
Final answer:
The given set contains 10 elements. Subsets with at least one vowel can be found by considering different combinations of vowels in the set which is 3 + 3 + 0 = 6.
Explanation:
The given set m,a,t,h,c,o,u,r,s,e contains 10 elements.
In order to find the number of subsets that contain at least one vowel, we need to consider the possible combinations of vowels in the set.
If we consider only one vowel, there are 3 vowels in the set (a, o, and u). Therefore, there are 3 choose 1 = 3 subsets.If we consider two vowels, there are 3 choose 2 = 3 subsets.If we consider three vowels, there is 1 choose 3 = 0 subset (as there is only 1 vowel left).Therefore, the total number of subsets that contain at least one vowel is 3 + 3 + 0 = 6.
To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets.
Explanation:To find the number of subsets of the set m,a,t,h,c,o,u,r,s,e that contain at least one vowel, we can count the number of subsets that have no vowels and subtract it from the total number of subsets. The given set contains 9 consonants and 5 vowels. So, the number of subsets with no vowels is equal to the number of subsets of the 9 consonants, which is 2^9 = 512.
The total number of subsets of the given set is 2^14 = 16384. Therefore, the number of subsets that contain at least one vowel is 16384 - 512 = 15872.
Calculate 2,000-1,853
how can i show my work for 0.4 divide 1.44
Evaluate the function
f(x)= 7.45x + 33.7 at x= -4.3
Explain how you can find 3x584 using expanded form
What do you add to 2 3/8 to make 6
PLEASEEEE HELP MY LIFE :((((
A sack full of medals contains gold, silver, and bronze. If selected at random, the probability of picking a gold medal is 5/12. The probability of picking a silver medal is 1/3. What is the probability of picking a bronze medal? Express the probability as a number between 0 and 1.
Final answer:
The probability of picking a bronze medal is found by subtracting the probabilities of picking a gold and a silver medal from 1. As the probability of picking gold is 5/12 and silver is 1/3 (or 4/12), the probability of picking bronze is 1 - (5/12 + 4/12) = 1/4 or 0.25.
Explanation:
The probability of picking each type of medal from the sack adds up to 1 since one of the medals must be picked. Given the probability of picking a gold medal is 5/12 and the probability of picking a silver medal is 1/3, we can calculate the probability of picking a bronze medal by subtracting the probabilities of picking a gold or silver medal from 1.
First, let's find a common denominator for 5/12 and 1/3, which is 12. The probability of picking a silver medal expressed with the denominator 12 is 4/12 (since 1/3 equals 4/12).
Now, we add the probabilities of picking a gold or silver medal: 5/12 + 4/12 = 9/12.
Finally, we subtract this sum from 1 to find the probability of picking a bronze medal:
1 - 9/12 = 3/12, which simplifies to 1/4.
Therefore, the probability of picking a bronze medal is 1/4, or 0.25 when expressed as a number between 0 and 1.
The product of a number m and 1.7 is 6.63. Determine what an equation would be and solve for m. What is the value of m?
Please help iv added a pic of the work sheet. I have to get this done by tomorrow
The perimeter of a patio is 64. The width of the patio is 12 feet and the length of the patio is (×+6) feet. What is the length of the patio?
Wich is greater 0.48 or 6 15
Anwser. Anwser. Answer. Anwser
Answer:
i think x to 7 i belive
Step-by-step explanation:
What value makes 2 square root 51 equal to 10 square root 51x
Mrs. Synder must choose two of her homeroom students to be class representatives. The class consists of 13 girls and 9 boys. Approximately what percent chance is there that the first student chosen is a boy and the second student chosen is a girl? (Round to the nearest percent)
A. 10%
B. 25%
C. 22%
D. 15%
Answer: B. 25%
Step-by-step explanation:
Given : Number of boys in the class = 13
Number of girls in the class = 9
Total students = 13+9=22
Now, the number of ways to choose first boy then a girl =[tex]13\times9=117[/tex] (1)
Number of ways to choose nay two students :-
[tex]{22}P_{2}=\dfrac{22!}{(22-2)!}\\\\=\dfrac{22\times21\times20!}{20!}=462[/tex] (2)
Now, the probability that the first student chosen is a boy and the second student chosen is a girl :-
[tex]\dfrac{117}{462}=0.253246753247\approx0.25[/tex] [Divide (1) by (2)]
In percent , [tex]0.25\times100=25\%[/tex]
Hence, approximately 25% chance that the first student chosen is a boy and the second student chosen is a girl.
Unite price batteries size 4pk and total price 2.97 how come unite price
Answer:
divide the unit by the the total amount
The answer is 0. 74
When you divide two fractions is the quotient always smaller than the dividend
slove the equation y=mx+b for m
a)m=y-b-m
b)m=(y-b)m
c)m=y+b/x
d)m=y-b/x
please help me with this
Ernesto built a wooden car for a soap box derby. He is painting the top of the car blue and the sides black. He already has enough black paint, but needs to buy blue paint. He needs to know the approximate area of the top of the car to determine the size of the container of blue paint he should buy. He measured the length to be 9 feet 11.25 inches, and the width to be 0.5 inches less than 3 feet. Draw a diagram and label the measurements. What is the area of the top of the car? What is the most accurate area Ernesto can use to buy his paint?
how can adding. doubles help you multiply by 2 give an example
If 2 more students took the math test and both made a score of 80, what would the picture graph look like?
The cost to rent a car is $30 per day. Write an expression for the cost of renting a car d days. Make a table to find how much it will cost to rent a car for 3, 5, 7, and 10 days.
[tex]c=30d[/tex]
The table can be made as follows:Number of days Cost
3 90
5 150
7 210
10 300
Step-by-step explanation:It is given that:
The cost to rent a car is $30 per day.
Now, the expression which is used to represent the cost for renting a car d days is:
[tex]c=30d[/tex]
where c is the cost of renting a car.
when d=3 we have:
c=90
( Since, 30×3=90 )
when d=5
c=150
( Since, 30×5=150 )
when d=7
c=210
( Since, 30×7=210 )
when d=10
c=300
( Since, 30×10=300 )
PLease help!!
Use the figure to the right to find the value of PT. T is the midpoint of PQ
PT=3x+2 and TQ= 5x - 8
Simplify your answer
4.3t-2.1t-2.3=7.6
Solve equation
The equation can be solved by combining like terms, isolating the variable t, then dividing by the coefficient of the variable. The solution to the equation is t = 4.5.
Explanation:The given equation in this problem is 4.3t - 2.1t - 2.3 = 7.6. To solve the equation, first we need to combine like terms, meaning we would subtract 2.1t from 4.3t.
This leaves us with 2.2t - 2.3 = 7.6. After that, we must isolate t by adding 2.3 to both sides of the equation. This results in 2.2t = 9.9. Finally, we divide both sides by 2.2 to solve for t, which gives us t = 4.5.
Learn more about Algebra here:https://brainly.com/question/24875240
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I'm a bit confused on how to get x, the example doesn't make sense either.
Percent of change
original:35
new:70
There are 300 apples and peaches for sale at a farmer's market. The ratio of the number of apples to the number of peaches is 7 : 8. If 50 apples and 40 peaches are sold, what is the ratio of the remaining apples to peaches?
A shelf support 3 3/4. If a book weighs 3/8 of a pound, how many books can I think hold? If can add more support so the shelf hold 5 1/4 pounds, how many books can the shelf hold now?
Simplify the expression 4^3 + 2(3 - 2)
706421 rounded to the nearest thousand