Number of ways to choose two colors of three colors when order of choice is relevant and relevant are 6 and 3 respectively.
What are permutations and combinations?Permutation refers to placing all members of a set in a particular order or choice of order. Combination is a way of selecting items from a collection, so the order of selection (unlike permutation) does not matter.
Given,
Three colors, red, blue and green
a) Number of ways of choosing 2 colors out of three colors when order matter
= ³p₂
= 3!/(3-2)!
= (3×2×1)
= 6
b) a) Number of ways of choosing 2 colors out of three colors when order does not matter
= ³C₂
= 3!/(3-2)!2!
= (3×2×1)/(2×1)
= 3
Hence, when 6 and 3 are the number of ways to choose 2 colors from three colors when order matter and dose not matter respectively.
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Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answer:
i think the answer is 12 and 18
The figure shown is created by joining two rectangles.
(picture will be shown)
enter the area, in the square inches, of the figure
Answer:
1375 square inches
Step-by-step explanation:
Area= Length × Width
15in×75in=1125in
25in×10in=250in
250in + 1125in= 1375square inches
i will give Brainiest if you are right
Answer:
G
Step-by-step explanation:
G. Plug in x=5 to x-2<7
which becomes
5-2<7
3<7
which is correct.
Hope This Helps!
Three people split the cost of the last two lunch bills. The two bills were $18 and $15. How much did each person contribute?
Group of answer choices
$11
$15
$18
$33
Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2
9514 1404 393
Answer:
C. 6 > 3
Step-by-step explanation:
It is true that 6 is greater than 3.
__
All negative numbers are less than any positive numbers.
We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.
You come across a box of perfume what should you do Amazon
What is the measure of angle AXG
Answer:
180°
Step-by-step explanation:
it's half of a circle
The angle AXG is a straight line. The measure of a straight line would be 180
The measure is 180
What is the volume of the cylinder below?
Use 3.14 for pi.
Answer:
using 3.14 for pi the volume is 502.4
Step-by-step explanation:
a boy is 20 years old at present. How old was he 3 years ago?
Answer: seven-teen
Step-by-step explanation:twenty minus three
The age of the boy three years ago is A = 17 years
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The present age of the boy = 20 years
Three years ago, the boy's age would have been:
20 - 3 = 17
Hence , the boy was 17 years old three years ago.
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It takes 3 pieces of wood to make a bird house. Marina has 21 pleces of wood. She uses this problem to find out how many bird houses she can
make.
21 +3
Which other problem could Marina use to find the number of bird houses she can make
She can find out answer by dividing 21÷3 and the answer is 7
She can make 7 bird house
7 is the answer of the question
21÷ 3
=7
Step-by-step explanation:
hope it is helpful to you
Someonee can u tell ne
Answer:
35
Step-by-step explanation:
i did the sqrt of 1225 and got 35 so there should be 35 rows each with 25 plants
Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?
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Answer:
(3, 2)
Step-by-step explanation:
Reflection across y=x swaps the coordinates:
(x, y) ⇒ (y, x)
Dilation by a factor of 1/2 multiplies each coordinate by 1/2.
(x, y) ⇒ (x/2, y/2)
The combination of these transformations gives you ...
(x, y) ⇒ (y/2, x/2)
(4, 6) ⇒ (3, 2)
(Algebra 2) help me please:( no links I will report please help me out )!!!
Answer:
The answer should be $57000(1.025)²⁰ = $93,401
Step-by-step explanation:
The manufacturer of running shoes conducted a study on its newly developed jogging shoe. Listed are the type and frequency of the nonconformities and failures found. A Pareto chart to show the major problem areas is given below. (Round your answers to 1 decimal place.) Type of Nonconformity Frequency Type of Nonconformity Frequency Sole separation 36 Lace breakage 13 Heel separation 92 Eyelet failure 8 Sole penetration 60 Other 16
Answer: Hi your question is poorly structured I believe your question is construct a pareto chart to show the major problem areas
answer : attached below is the pareto chart.
Step-by-step explanation:
Rearranged table starting from highest frequency
The type of Nonconformity Frequency Percentage
Heel separation 92 40.89
sole penetration 60 26.67
Sole separation 36 16
Other 16 7.11
Lace breakage 13 5.8
Eyelet failure 8 3.5
Total = 36 + 13 + 92 + 8 + 60 + 16 = 225
Next step : determine the percentages of the various Nonconformity
sole separation = 36 / 225 ) * 100 = 16%
lace breakage = ( 13/225 ) * 100 = 5.8% = 6%
Heel separation = ( 92/225 ) * 100 = 40.89% = 41%
Eyelet Failure = ( 8 /225 ) * 100 = 3.5% = 4%
sole penetration = ( 60 / 225 ) * 100 = 26.67% = 27%
other = ( 16 / 225 ) * 100 = 7.11% = 7%
Next plot the Two columns using excel to show the Pareto chart attached below is a screen shot of the plot
What is the missing number in the synthetic division problem below?
A. 9
B. 8
C. -7
D. 2
In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?
30
60
90
45
Answer:
30 Step-by-step explanation:
Answer:
Its 60
Step-by-step explanation:
I took the test
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
thor peeled 14 oranges every 21 hours. at this rate, how many would he peel in 9 hours?
Answer:
13.5
Step-by-step explanation:
14 oranges in 21 hour translates to:
3/2 oranges per hour.
So, in 9 hours thor can peel 13.5 oranges.
sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
PLEASE HELP I WILL GIVE BRAINLIEST!!!
Need some help with this one.
Answer:
Cylinder A: 3.58 m^3, cylinder B: 8.72 m^3, cylinder B has the greater volume
Step-by-step explanation:
Volume of a cylinder [tex]V=\pi r^2h[/tex] r is the radius, h is the height.
Cylinder A: The circumference is given, C = 3. Circumference is found by the formula [tex]C=2 \pi r[/tex]. Replace C with 3 and solve for r so it can be used in the volume formula.
[tex]3=2\pi r\\3=2(3.14)r\\3=6.28r\\r=3 \div 6.28 \approx .4777[/tex]
Volume: [tex]V=(3.14)(.4777)^2(5) \approx 3.58[/tex] cubic meters
Cylinder B:
[tex]C=2\pi r\\5=2(3.14)r\\r=5 \div 6.28 \approx .7962\\\\V=\pi r^2h\\ V=(3.14)(.7962)^2(3) \approx 8.72[/tex] cubic meters
Does this graph below represent a function? (Yes or no)
Answer:yes
Step-by-step explanation: it represents a function
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?
a bar graph
a circle graph
a histogram
a line graph
Answer:
Question?
Step-by-step explanation:
?
Please help! I really need this other wise I’m going to fail! I can’t figure it out!
Which one is correct?
Answer:
D. 6 bags
Step-by-step explanation:
Answer:
The answer is 4 bags
what is the sum of the first 10 terms of the geometric sequence 1 , -2, 4, -8, 16, 32...
Answer:
S10= -341
Step-by-step explanation:
1,-2,4,-8,16,.......
Sum of first 10 terms of geometric sequence
Sn=a(r^n-1)/r-1
where, a= first term
n= number of terms
r=common ratio
common ratio (r)= second term/first term
r=-2/1
r=-2
a=first term
a=1
n= number of terms
n=10
S10=1[(-2)^10-1]/-2-1
S10=(1024-1)/-3
S10=1023/-3
S10= -341
therefore, the sum of the first 10 terms is -342
The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?
Answer:
28
[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]
[tex]2 * x = 8\\x = 4[/tex]
[tex]7 * 4 = x\\x = 28[/tex]
PLZZ GIVE BRAINLIEST
The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.
What is the standard deviation of the distribution?
A) 1.16
B) 1.08
C) 1.41
D) 2.98
The standard deviation of the distribution is 1.08.
Option B is the correct answer.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.
The expected value of X is:
E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)
= 1.6 + 0.96 + 0.34 + 0.08 + 0
= 2.98
Next, we need to calculate the variance of X:
Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)
+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)
= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)
= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212
= 1.082
The standard deviation of X is the square root of the variance:
So,
SD(X) = √(Var(X))
= √(1.082)
= 1.04 (approximately)
Thus,
The standard deviation of the distribution is 1.08.
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A six-sided die is rolled two times. What is the theoretical fractional probability that the first number is even and the second number is odd?
Answer:
The theoretical probability that the first number is even and the second number is odd is [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
Since each dice has six sides, and there are two die, the total amount of different outcomes are [tex]6^2[/tex] or 36. The probability of getting an even number on the first roll is [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], and the probability of getting an odd number on the second roll is also [tex]\frac{3}{6}[/tex] or [tex]\frac{1}{2}[/tex], so the probability of getting an even number on the first roll and an odd number on the second roll is [tex]\frac{1}{2} * \frac{1}{2} = \frac{1}{4}[/tex].
Factorise: x^2/y^2+1+y^2/X^2
Answer:
[tex]( \frac{x}{y} + \frac{y}{x} + 1)( \frac{x}{y} + \frac{y}{x} - 1)[/tex]Step-by-step explanation:
Hope it is helpful.....