She can arrange the 9 paintings in 362,880 different ways, and she can select 126 different combinations of 4.
In how many ways can she display the 9 paintings?For the first position, she has 9 options.For the second position, she has 8 options (one is already taken).
And so on for the rest of the positions.
The total number of different combinations is equal to the product between the numbers of options:
C = 9*8*7*6*5*4*3*2*1 = 9! = 362,880
b) This will be given by the combinations of 4 out of 9, or:
C(9, 4), where:
[tex]C(9, 4) = \frac{9!}{(9 - 4)!*4!} = \frac{9*8*7*6}{4*3*2*1} = 126[/tex]
She can select 126 different combinations of 4 paintings.
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A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?
Answer:
18
Step-by-step explanation:
Find the volume of a cone with a height of 6yd and a base radius of 4yd.
Use the value 3.14 for [tex]\pi[/tex] , and do not do any rounding.
Be sure to include the correct unit in your answer.
Formula : V = πr²h/3
Fill in the values.
(3.14)(4)^(2)(6/3)
V=100.48 yd^3
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i need this by 12
The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
⇒ ABCD is a parallelogram.
Now, We have complete table is,
Statements Reasons
1) AD || BC Definition of parallelogram.
2) ∠ADB ≅ ∠CBD Alternate interior angle theorem.
3) AB || CD Definition of parallelogram.
4) ∠ABD ≅ ∠CDB Alternate interior angle theorem.
5) DB ≅ DB Reflexive property of congruence.
6) ΔABD ≅ ΔCDB By SAS congruency theorem.
Thus, The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
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Is the equation y=5x+1 a linear equation? Explain.
Answer:
Yes
Step-by-step explanation:
Linear equations are equations in which the highest power of the equation is always 1, they look like a straight line when put on graph and they usually have this form: y = ax + b
y = 5x + 1 is a good example of a linear equation but they may also look like: y = 2x (b = 0) or y = x + 3 (a = 1).
PLEASE HELP ASAP WITH HOW U DID IT WILL MARK BRAINLIST!!!
9.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost
43¢ to mail a letter to a Canadian address in 1988, what (to the nearest penny) did it
cost in 1938?
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The cost of mailing a letter went up 1133% over the fifty-year period 1938-1988. If it cost 43¢ to mail a letter to a Canadian address in 1988
Let x represent the cost of mailing the letter in 1938, hence:
x = 43 + 1133% of 43 = 43 + 487.19 = 530 cent
The cost of mailing a letter in 1938 was 530 cents while it cost 43 cent in 1988
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whats reciprocal of 4 1/4
Answer:
4 4/1
Step-by-step explanation:
we know that reciprocal mans backwards. This doesn't apply to the whole number un math. only the denominational and numerator.
Answer:
4×4=16
16+1=17
=4/17
step-by-step explanation:
since that is a mixed fraction, you first change it into an improper fraction......by multiplying the denominator and the whole number then add the numerator. You will get 17 as your numerator.......then make it your denominator and 4 your numerator
Help!!!
I need help
Answer:
x = 109°
Step-by-step explanation:
x = 64+45 = 109°
it looks simple, but that's the answer
HELP I NEED IT
NO LINKS!!
Answer:
option c
Step-by-step explanation:
Area of triangle:
a = 2 and c = 3
base = 6ac²
= 6 *2 * 3 * 3
= 108 cm
height = base + 3
= 108 + 3
= 111 cm
[tex]\boxed{\text{Area of a triangle = $ \dfrac{1}{2}*base*height$}}[/tex]
[tex]=\dfrac{1}{2}*108*111\\\\\\= 54*111\\\\=5994 \ cm^{2}[/tex]
Answer:
5,994 cm²
Step-by-step explanation:
Formula
Area of the triangle = 1/2 x base length x heightGiven
Base length = 6ac² cmHeight = 6ac² + 3 cma = 2c = 3Solving
Area = 1/2 x 6ac² x (6ac² + 3)Area = 1/2 x 36a²c⁴ + 18ac²Area = 9ac² (2ac² + 1)Substitute the values of a and c⇒ Area = 9 x 2 x 3² (2 x 2 x 3² + 1)⇒ Area = 162 (36 + 1)⇒ Area = 162 x 37⇒ Area = 5,994 cm²Suppose that a travel bureau claims that the trees in a forest are 84 ft tall on average with a standard deviation of 2 feet. If you took a sample of 64 trees, which of the following mean heights would be outside the 95% confidence interval?
A. 84.6 ft
B. 84.2 ft
C. 84.4 ft
D. 83.6 ft
The value of the mean height for the given data will be 84.6 ft. Option A is correct.
What is the standard deviation?It is a measurement of statistical data dispersion. The degree to which the value varies is known as dispersion.
Given data;
Mean,[tex]\rm\bar x = 84[/tex]
Standard deviation,[tex]\sigma= 2[/tex]
No of sample,n=64
The mean height is foundd as;
[tex]\rightarrow \bar x \pm \frac{\sigma}{\sqrt n} \times Z \\\\ \rightarrow \84 \pm\frac{2}{8} \times 1.96 \\\\ \rightarrow 83.51,84.49[/tex]
84.6>84.49
The value of the mean height for the given data will be 84.6 ft.
Hence option A is correct.
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A) not periodic
B) periodic with a period of 6 and an amplitude of about 12.5
C) periodic with a period of 6 and an amplitude of about 25
D) periodic with a period of 12 and an amplitude of about 12.5
Explanation:
Plot all of the data points on the same xy grid as shown below.
I used GeoGebra to make the diagram.
The points seem to be randomly scattered about without any apparent pattern (though there might be some symmetry going on). The data does not seem to be periodic.
Periodic data repeats itself at some point in time, for example like a waveform pattern, which unfortunately these data points don't reflect.
Which two sets of events are most likely independent?
O A. Event A: A student makes the drama team.
Event B. The student likes macaroni and cheese.
B. Event A: A student gets enough sleep.
Event B. The student is alert in class.
C. Event A: A car is blue.
Event B. The car lasts over 20 years.
D. Event A: A woman buys cat toys.
Event B: The woman has a cat.
Answer:
A - Event A: A student makes the drama team. / Event B. The student likes macaroni and cheese.C - Event A: A car is blue. / Event B. The car lasts over 20 years.What were the overall returns during the bull market from 1970 to 1973?
The Answer: Gain — Previous bull markets gained between 74% (1970–1973) and 582% (1987–2000), with an average gain of 185% and a median gain of 132%.
Hope this was helpful to you
The product of two integers is 72.
If one integer is 9 what is the other integer?
Answer:
8
Step-by-step explanation:
a*b=72
a=9
9*b=72
b=72/9
b=8
567.3
What is the value of the digit 5 in this number?
Answer:
hundredth place
Step-by-step explanation:
because ummmm yeah
Helppp plssssss!!!!!!
1
unit.
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of
2
1
How many
unit cubes does it take to fill the prism?
2
NI
Answer:
48
Step-by-step explanation:
If the side length is 1/2, cube it to find the volume of the cube. Then divide 6 by 1/8. Remember that if you are dividing a fraction, you multiply by the reciprocal, in this case 8. 6 times 8 is 48.
y = 2x -1, y = 3x + 5 solve
Answer:
the answer is x= -6 and y= -13
Kira and Bill are collecting clothes for a clothing drive. Bill collected 3/5 as many clothes as Kira did. If Kira collected 1/3 of a bag of clothes, how many bags of clothes did Bill collect?
Answer:
1/5
Step-by-step explanation:
because 3/5*1/3=1/5
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11x + 14y = 65
-11x – 8y = -41
solve for x
Answer:
[tex](x \: y)= ( \frac{379}{107} \: \frac{199}{107} )[/tex]
Step-by-step explanation:
i hope it's to help
Joanna draws a scale model of a rectangular table for a carpenter to build. On her drawing, \frac{3}{4} 4
3
of an inch represents 11 foot. In the drawing, the table is 7\frac{1}{2}7 2
1
long. How long, in feet, will the table be when the carpenter builds it?
The length of the rectangular table the carpenter builds given the scale is 110 feet
What is the length of the drawing?A scale drawing is a smaller version of a larger image. The scale drawing is usually reduced at a constant dimension
Length of the table = (11 x 7 1/2) ÷ 3/4
(11 x 15/2) x 4/3 = 660/6 = 110 feet
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Transform the solid black function to match the dotted function.
y= Voc
I f(x+
fx- +
O
+
o
у
LO
9
00
8
N
6
5
4
3
2
1
1
-18 9 8
-6 54
-3
2
1
N
-1
-
3
4
in
X
5
7
8
9 to
N
3
3
4
5
in
-6
-8
9
9
-10
Transforming the solid line to the dotted line would change the equation of the functions
The equation of the dotted line is: [tex]f(x) = -\sqrt{x - 6} + 3[/tex]
How to transform the function?The equation of the solid line is given as:
y = √x
The solid line undergoes the following transformation to match the dotted line
Reflection across the x-axisTranslate 6 units rightTranslate 3 units upThe rule of the above sequence of transformations is:
(x,y) -> (x - 6, -y + 3)
Using the above transformation rule, the equation of the dotted line is:
[tex]f(x) = -\sqrt{x - 6} + 3[/tex]
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HELP FAST!! The scores on a test are normally distributed with a mean of 130 and a standard deviation of 26. Find the score that is one and one-half standard deviations below the mean.
Answer:
91
Step-by-step explanation:
130 - 1 1/2 ( 26) = 91
See pictures attached below. Will give Brainliest!
Question 1 Answer:
Aunt 1 and Grandma 1 would fill gift bags.
Mom and Aunt 2 would make centerpieces.
You and Grandma 2 would blow up balloons.
Since you are pairing up to complete the tasks, these pairs each have the shortest times in their respective categories and therefore are the most logical pairing to complete tasks.
Question 2 Answer:
We use algebra and our previous pairings to determine the length of each task.
Gifts Bags --> 6/7 hours
x = time together
[tex]\frac{1}{x}[/tex] = rate of completion
Aunt 1 = [tex]\frac{1}{1.5}[/tex] Grandma 1 = [tex]\frac{1}{2}[/tex]
[tex]\frac{2}{3} +\frac{1}{2} = \frac{1}{x}[/tex]
[tex]\frac{7}{6} = \frac{1}{x}[/tex]
[tex]x = \frac{6}{7}[/tex]
Centerpieces --> 7/4 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
Mom = [tex]\frac{1}{3.5}[/tex] Aunt 2 = [tex]\frac{1}{3.5}[/tex]
[tex]\frac{2}{7} + \frac{2}{7} = \frac{1}{x}[/tex]
[tex]\frac{4}{7} = \frac{1}{x}[/tex]
[tex]x = \frac{7}{4}[/tex]
Balloons --> 15/16 hours
x = time together [tex]\frac{1}{x}[/tex] = rate of completion
You = [tex]\frac{1}{1.5}[/tex] Grandma 2 = [tex]\frac{1}{2.5}[/tex]
[tex]\frac{2}{3} + \frac{2}{5} = \frac{1}{x}[/tex]
[tex]\frac{16}{15} = \frac{1}{x}[/tex]
[tex]x = \frac{15}{16}[/tex]
Shortest amount of time to complete all tasks is:
[tex]\frac{6}{7} + \frac{7}{4} + \frac{15}{16} = \frac{397}{112}[/tex] ≈ 3.54 hours
Converting hours to hours and minutes --> 3 hours 32 minutes
Therefore they must arrive by 5:28pm to complete the tasks in time to leave at 9:00pm.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers:
Class C has the least variabilityClass B has the highest scores on average========================================================
Explanation:
The variability can be measured using the range. It's to measure how spread out the data set is. The smaller the range, the less the variability. The smallest of which is found in class C.The average can be measured by the arithmetic mean. We go for the largest mean, which in this case is class B.Answer:
Class C has least variability and Class B has highest variability.
I think it will help you
Range= Large- Small Data
the ratio of boys to girls in mrs.cunnginghams class is 2 to 3. there are 18 girls in the class. what is the total number of students in mrs.cunninhams class
Answer:
The total number of students that are in Ms. Cunningham's class is 30 students
Step-by-step explanation:
the number of boys are represented by X
18 divided by 3 is 6
2 times 6 is 12.
12 plus 18 is 30.
Total number of students = 12 + 18 = 30
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
Answer:
6.2
Step-by-step explanation:
I don't think you need my explanation anymore.
An orange cone has a exact volume of 120π ft³. What is the height of the cone if the radius is 6ft?
Answer:
10 ft
Step-by-step explanation:
Given:
Radius ⇒ 6 feetFormula of cone ⇒ V = 1/3πr²hPlug in the values given:
120π=1/3π(6²)hCancel π from both sides and simplify:
120 = 1/3 36h120 = 12hAnswer:
Height = 10The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
An orange cone has a exact volume of 120π ft³.
And, The radius = 6 feet
Now, We know that;
Volume of cone = πr²h/ 3
Hence, We get;
⇒ 120 = 3.14 × 6² × h / 3
⇒ 120 = 3.14 × 12h
⇒ 120 = 37.68h
⇒ h = 3.18 feet
Thus, The height of the cone if the radius is 6ft is,
⇒ h = 3.18 feet
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5) Dane makes a budget for her birthday, she plans to
spend 3/36 Cthree misty-sixths) of her budget on a
cake that costs $24.00. How many much is her total
budget for the birthday.
Answer:
Step-by-step explanation:
She plans to spend 3/36 of her budget on a cake ($24.00).
Because $24.00 is 3/36 of the total budget, you divide 24 by 3/36.
[tex]\frac{24}{1}[/tex] ÷ [tex]\frac{3}{36}[/tex]
Then, multiply the reciprocal of 3/36, which is 36/3.
= [tex]\frac{24}{1}[/tex] × [tex]\frac{36}{3}[/tex]
= [tex]\frac{864}{3}[/tex] = 288
So, Dane's total budget for the birthday is $288.
Hope this helped !
A total of 640 people voted in an election. The circle graph shows the results.
A.) How many people voted for Gordon? Show your work
B.) How many people voted for Smith or Fishman? Show your work
Solve for x to the nearest tenth.
Answer: 6.9
Step-by-step explanation:
Solve for the hypotenuse in the smaller triangle 5.83
Solve for x²= 9² - 5.83² = 81 - 33.99
X² = 47.01
