Complete question is;
Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.
A) How many ways can this be done, if the order of the choices is taken into consideration?
B) How many ways can this be done, if the order of the choices is not taken into consideration?
Answer:
A) 524160 ways
B) 4368 ways
Step-by-step explanation:
A) If the order of choices is taken into consideration, then it is a Permutation problem.
Formula for Permutation is;
P(n, r) = n!/(n - r)!
In the question, n = 16 and r = 5
Thus;
P(16, 5) = 16!/(16 - 5)!
P(16, 5) = 524160
B) If the order of choices is not taken into consideration, then it becomes a Permutation problem.
Formula for Combination is;
C(n, r) = n!/((r! × (n - r)!)
C(16, 5) = 16!/((5! × (16 - 5)!)
C(16, 5) = 4368
Whats the inequality
12< -2y
Answer:
y< -6
Step-by-step explanation:
thas the answer
This is simple just divide -2 on both sides.
BUT, NEVER forget that if you divide a negitive then you need to swap the sign to the oppisite side.
12/-2 < y -> -6 > y or y < -6
What is the answer for number 7
a spanish class has a total of 46 students. the number of males is 4 more than the number of females. how many males and how many females are in the class?
Answer:
There are 25 males and 21 females in the class
Step-by-step explanation:
Let us use the equation to solve the question
∵ A Spanish class has a total of 46 students
∵ The number of males is 4 more than the number of females
→ Assume that the number of females is x
∵ The number of females = x
∴ The number of males = x + 4
→ Add the numbers of males and females and equate the sum by 46
∴ x + x + 4 = 46
→ Add the like terms in the left side
∴ 2x + 4 = 46
→ Subtract 4 from both sides
∴ 2x + 4 - 4 = 46 - 4
∴ 2x = 42
→ Divide both sides by 2
∴ [tex]\frac{2x}{2}=\frac{42}{2}[/tex]
∴ x = 21
∵ x represents the number of females
∴ There are 21 females
∵ x + 4 represents the number of males
∴ The number of males = 21 + 4 = 25
∴ There are 25 males
Find mangleQ
An image of two horizontal lines intersecting two diagonal lines is shown.· Both of the horizontal lines have a right arrow labeled on them.
· One of the diagonal lines extends from the upper left corner to the lower right corner.
· The other diagonal line extends from the upper right corner to the lower left corner.
· Both diagonal lines intersect with the top horizontal line in the upper left corner of the image.
· Six angles are formed at the intersection of these three lines.
· Angle upper Q is the angle at the top formed by the two diagonal lines.
· Moving clockwise around the intersection, angle upper R is formed by the horizontal line and the diagonal line extending from the upper right corner to the lower left corner.
· Moving clockwise around the intersection, the next two angles are unlabeled.
· The next angle is labeled 76 degree sign, and the last angle is unlabeled.
· Four angles are formed at the intersection of the lower horizontal line and the diagonal line that extends from the upper left corner to the lower left corner.
· The angle in the lower right position at this intersection is labeled 38 degree sign.
A. 76
B. 104
C. 66
D. 114
Answer:
66
Step-by-step explanation:
i just did this assignment and it said this was the right answer
Evaluate the following expression,
5x [7+ (10-2) + 4)
Answer: 95x
Step-by-step explanation: Remove parentheses. 5x(7+10-2+4)
Add 7 and 10.
5x(17-2+4)
Add 15 and 4.
5x multiped by 19
Multiply 19 by 5
95x
Find the x - and y-intercepts of the graph of the linear equation –6x + 9y = -18
Answer:
x-intercept = -6 y-intercept = 9
Step-by-step explanation:
Solve for x: x + 4 = 10 *
Your answer
Answer:
6
Step-by-step explanation:
A way to answer these questions like I usually do is to subtract the result by the number you already know, like this; 10-4=6, so 6 would be what X equals, or you can just take the long way and keep guessing what the answer would be and keep doing the problems, but that would be very time consuming so I would recommend just doing the subtraction method!
Hope this helps!
Answer:
x = 6
Step-by-step explanation:
x + 4 = 10
=> x = 10 - 4
=> x = 6
Learning Task 2: Solve each problem using the application of LCM and
GCF
1.) In Art class, Mrs. Lucia had 36 sheets of green paper and 42 sheets of
blue paper. If Mrs. Lucia wanted to give an equal number of each type of
paper, how many sheets of paper should each pupil get?
Answer:
Each pupil get 6 sheet
Step-by-step explanation:
Given:
Number of green sheet = 36
Number of blue sheet = 42
Find:
Common factor
Computation:
36 = 6 x 6
42 = 6 x 7
So, 6 is a common factor
Each pupil get 6 sheet
Each student should get 6 papers
The lowest common multiple is the smallest factor of a set of numbers.
The highest common factor is the biggest factor of a set of numbers.
A multiple of a number is a number that can divide another number without a remainder.
Factors of 36 =1, 2, 3, 4, 6, 9, 12, 18, and 36
Factors of 42 = 1, 2, 3, 6, 7, 14, 21, and 42.
The common factors of both numbers are : 1,2,3,6
Each student should get 6 papers
To learn more about highest common factor, please check: https://brainly.com/question/18650233?referrer=searchResults
PLEASEE HELLPPPPP im dumb
Answer:
Im dumbmbbn slalsodl soak w uelwoelcome
Step-by-step explanation:
Answer:
1. A
2. it might be impetigo??
Step-by-step explanation:
Not sure but I believe this is correct.
A coin is tossed and -sided die numbered 1 through is rolled. Find the probability of tossing a and then rolling a number greater than .
Complete question :
A coin is tossed and a die is rolled. Find the probability of tossing a tail and then rolling a number greater than 2.
Answer : 1/3
Step-by-step explanation:
For a coin :
Sample space = (T, H)
Probability = required outcome / Total possible outcomes
Probability of tail, p(T) = 1 / 2 = 0.5
For a fair die:
Sample space = (1, 2, 3, 4, 5, 6)
Required outcome = number greater than 2 = (3, 4, 5, 6) = 4
P(number greater than 2) = 4/6 = 2/ 3
Hence, probability of a tail, then a number greater than 2 :
(1/2 * 2/3) = 2 /6 = 1/3
please help Im in class
Answer:
sorry cant help
Step-by-step explanation:
Answer:
8/10=2nd 3rd =2 4th=3/5
4. Gladys paid for 4 pallets of grass to be delivered.
Each pallet of grass costs $134.80.
• Gladys paid $55.95 for delivery.
What is the total amount Gladys paid?
O A. $595.15
OB. $763.00
OC. $539.20
OD. $358.60
Step-by-step explanation:
4×134.80 +55.95
539.2+55.95 =$595.15
the answer is A
Answer:
the answer is A
Step-by-step explanation:
my teacher went over the question and i just want to help :)
Match the scenario with the law of logic it illustrates.
Question 1 options:
__Law of Syllogism
__Not a valid conclusion has been made.
__Law of Contrapositive
__Law of Detachment
1.
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
2.
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet.
3.
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
4.
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
I just took this and got an A, so here are the answers :)
Make sure to take notes or put this with your notes! :))
Answer:
Law of Syllogism: 3
If I do well on my assignments, my grade will improve.
If my grade improves, my parents will be happy.
Therefore, if I do well on my assignments, my parents will be happy.
Not a valid conclusion has been made: 4
If I cook dinner, my daughter will eat.
My daughter ate.
Therefore, I cooked dinner.
Law of contrapositive : 2
If the sun sets, it will be dark outside.
It is not dark outside.
Therefore, the sun hasn't set yet
Law of Detachment: 1
If it is raining, I will use an umbrella.
It is raining.
Therefore, I will use an umbrella.
explanation:
Syllogism:
p → q and q → r then p → r is also true.
Contrapositive:
If not q, then not p.
Detachment:
If p , then q
Will give brainliest if your answer is correct, please help me with this question it is past due (I have more questions like this that are also pat due, check my profile and go to questions to see them once I post the questions)
Answer:
Right Angles, Alternate Interior Angles, Supplementary Angles, Equal Angles.
Step-by-step explanation:
Since S and R are both parallel lines, and line T is perpendicular to line S and R, we know that angles 16 and 17 form all right angles. Since all parts are right angles, we know that they are equal. Since two 90 degree angles form a supplementary angle, we know that angle 16 plus angle 17 is supplementary. We also know that these angles are alternate interior angles, as they are in the interior of each separate perpendicular part.
The distance covered
by a car in
3x hours is
27x3_9x²+3x. Find the rate of the car
Answer:
9x²-3x+1Step-by-step explanation:
The rate of the change of the car is is its speed.
Speed = distance/time
Given
Distance = 27x³-9x²+3x
Time = 3x hours
Speed = 27x³-9x²+3x/3x
factor out 3x from the numerator:
Speed = 3x(9x²-3x+1)/3x
Speed = 9x²-3x+1
Hence the rate of the car is 9x²-3x+1
Which number has a 5 that represents a value ten times greater than the value represented by the 5 in 41,253 ?
Wouldn't the answer be any number which has the hundredths place as a 5? For example, 23,521.
As 50 x 10 = 500 and the 5 in 23,521 represents 500.
Maria found the least common multiple of 6 and 15. Her work is shown below.
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...
Multiples of 15:15, 30, 45, 60, ...
The least common multiple is 60.
What is Maria's error?
Answer:
answer B
Step-by-step explanation:
just got it right on the test.
Answer:
the answer is B, Maria listed factors of each number instead of multiples.
Step-by-step explanation:
Solve the following equation for x using inverse operations 7x-15=1
Answer:
x = [tex]\dfrac{16}{7}[/tex]Step-by-step explanation:
Equation
7x - 15 = 1 → Move the -15, reversing the sign:
7x = 1 + 15 → Solve the sum:
7x = 16 → We have a fraction:
x = [tex]\dfrac{16}{7}[/tex]
x = 2.28571428571
To keep it simple, the answer could be just [tex]\dfrac{16}{7}[/tex].
Hope this helps!
Good studies! ☺
The solution of the equation for x is;
⇒ x = 16/7
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
The expression is given as;
7x - 15 = 1
Now, Solve the expression for x by using inverse operations as;
7x - 15 = 1
Since 15 is subtract and inverse of subtraction is addition.
Hence,
Add 15 both side we get;
7x - 15 + 15 = 1 + 15
7x = 16
7 is multiply by x, and inverse of multiplication is divide;
So, Divide by 7 both side;
x = 16/7
Thus, The solution of the equation for x is;
⇒ x = 16/7
Learn more about the inverse operations visit:
https://brainly.com/question/17136818
#SPJ5
all of the following have the same value except A, B, C, D
Answer:
? What is the question?
Step-by-step explanation:
Answer:
where is the rest of the question,,?
Step-by-step explanation:
the other one is 27
Answer:
the scale factor is 9 and x = 58.5
Step-by-step explanation:
to get the scale factor just do DE/AB so 27/3
SOMEONE PLEASE HELP QUICK
Find the solution set for this inequality -2 x + 4 > -4x + 8.
Answer:
x > 2
Step-by-step explanation:
a pizzeria had 4 cans of tomato sauce how many pizzas could they make with the cans if each pizza took one fourth of a can
Answer:
16 pizzas.
Step-by-step explanation:
That is 4 divided by 1/4
= 4 * 4/1
= 16.
Answer:
16
Step-by-step explanation:
There are 4 pizzas per can and you have 4 cans.
4 x 4 = 16
Question 4 (1 point)
SPIRAL REVIEW QUESTION: In the equation y = 6x + 3, the SLOPE is:
a
6
be
6x
3
d
у
Answer:
6
Step-by-step explanation:
slope is m in the y=mx+b
If m<7 is 2x + 30 and m<28 is 3x - 10, find the
following:
Answer:
x = 32
m∠7 = 94
m∠8 = 86
m∠3 = 94
Step-by-step explanation:
(2x + 30) + (3x - 10) = 180
5x + 20 = 180
5x = 160
x = 32
m∠7 = 2(32) + 30 = 94
m∠8 = 3(32) - 10 = 86
or
m∠8 = 180 - 94 = 86
m∠3 ≈ m∠7 (corresponding angles)
Hector wants to tile his rectangular shed floor with rubber tiles. He found a company that will cut custom square tiles up to 60 inches by 60 inches. The length of his shed floor is 240 inches, and the width is 144 inches.
a. What is the side length of the largest square tile Hector can use to tile his shed floor so that there are no gaps or overlaps and the entire floor is covered? Use paper to show your work. Enter your answer in the box.
The side length of the largest square tile Hector can use to tile his shed floor is
inches.
b. How many floor tiles will Hector need to cover his shed floor?
Answer:
60 inches and he will need 4 tiles
2
Divide: 4:- =
5
HELP FAST!!!!!!!!!
10/4 if its right also have a good my dude
The equation y = 2.50x determines the total cost, y, of buying carnival tickets
Step-by-step explanation:
The given equation or expression is used to determine the total cost of buying carnival tickets.
the total cost is y
Also from the expression the cost of a ticket is $2.5
and x represents the number of tickets
now say x=5, that is 5 tickets, then the cost of buying the 5 tickets is given as
y=2.5(5)
y=12.5
Hence the cost of 5 tickets is $12.5
how many minutes will it take the school bus to complete the 52-km trip back to the school at an average speed of 1.0 km/min?
Answer:
52 min
Step-by-step explanation:
The entry fee is $11, and the entrants make the recipes at home and vote for their favorite, which cannot be their own recipe. The top 2 finishers win money. First place wins $58, and second place wins $48. You give yourself an X chance of finishing in the top 2, and if you finish top 2, then you have an equal chance of finishing first or second.
Required:
What is x such that entering this tournament is a fair gamble for you as an expected value maximizer?
Answer:
The value is [tex]X = 0.1719 [/tex]
Step-by-step explanation:
From the question we are told that
The entry fee is [tex]a = \$ 11[/tex]
The outcome for first place is [tex]b = \$ 58[/tex]
The outcome for second place is [tex]c = \$ 48[/tex]
The outcome for losing is [tex] d = - \$ 11[/tex]
The chance of finishing in the top two is X
Given that there are equal chance of finishing first or second, then the chance of finishing first is [tex]\frac{X}{2}[/tex]
and the chance of finishing second is [tex]\frac{X}{2}[/tex]
Then the chance of losing(i.e not finishing in the first two) is [tex]1 - X[/tex]
given that the game is a fair gamble for the player as an expected maximizer then it mean is that the expected value of entering the tournament E(X) = 0
So
[tex]E(X) = b * \frac{X}{2} + c * \frac{X}{2} * d * ( 1 - X)[/tex]
=> [tex]0 = 58 * \frac{X}{2} + 48 * \frac{X}{2} * -11 * ( 1 - X)[/tex]
=> [tex]0 = \frac{58X}{2} + \frac{48X}{2} * -11 + 11X)[/tex]
=> [tex]X = \frac{64}{11}[/tex]
=> [tex]X = 0.1719 [/tex]
