Permutations acellus How many ways can 4 books be arranged on a shelf if there are 8 books to chose from? Note: nPr = n! —— (n-r)!
Answer:
1680 ways
Step-by-step explanation:
From the question,
nPr = n!/(n-r)!.................. Equation 1
Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.
Given: n = 8 books, r = 4 books.
Substitute into equation 1
8P4 = 8!/(8-4)!
8P4 = 8!/4!
8P4 = (8×7×6×5×4!)/4!
8P4 = 1680 ways.
Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways
Given the points A(4,6) and B(8, −2), what is the length of segment AB in units?
F √5
G 2√5
H 4√5
J 4
Answer:
Hi! The answer to your question is H. [tex]4\sqrt{5}[/tex]
Step-by-step explanation:
[tex]Y1 = 6[/tex]
[tex]Y2 = -2[/tex]
[tex]X1 = 4[/tex]
[tex]X2 = 8[/tex]
[tex]AB = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
[tex]AB = \sqrt{(8-4)^2+(-2-6)^2}[/tex]
[tex]AB =\sqrt{(4)^2+(-8)^2}[/tex]
[tex]AB = \sqrt{16+64}[/tex]
[tex]AB = 4\sqrt{5}[/tex]
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Answer:
0.25
Step-by-step explanation:
Answer:
25% as a decimal is 0.25 I think
Step-by-step explanation:
Which of the following functions has a graph with a vertex that is a translation 5 units horizontally to the right of the vertex of the graph of y = (x - 1)2+3?
Answer:
[tex]g(x) = (x-6)^2 +3[/tex]
Step-by-step explanation:
Given
[tex]y = (x - 1)^2 + 3[/tex]
Required:
Shift 5 units to the right
f(x) = (x + 2)^2 + 2
The parabola is written as:
[tex]y = a(x-h) ^2 +k[/tex]
Where [tex](h,k)[/tex] is the vertex
Compare [tex]y = a(x-h) ^2 +k[/tex] to [tex]y = (x - 1)^2 + 3[/tex]
The vertex is:
[tex]Vertex =(1,3)[/tex]
Shift 5 units to the right
The rule is:
[tex](x,y) \to (x + 5,y)[/tex]
So, we have:
[tex](1,3) \to (1 + 5,3)[/tex]
[tex](1,3) \to (6,3)[/tex]
The new function is:
[tex]g(x) = a(x-h) ^2 +k[/tex]
[tex]g(x) = (x-6)^2 +3[/tex]
A solid metal rectangular pyramid has a base that measures 16 cm by 25 cm The Solid is melted and recast into a solid cavare pyramid of the same height. Find the length of the side of the base of the square pyramid.
Find two positive numbers, such that, the product of the first number squared and the second number is 54 and the Sum is a mimimum. What is the minimum sum?
What is another word for relative frequency?
Answer:
frequency, relative frequency(noun) the ratio of the number of observations in a statistical category to the total number of observations. Synonyms: frequency, oftenness, absolute frequency, frequence.Step-by-step explanation:
brainliest?
Answer: frequency; ratio.
Step-by-step explanation:
Plzzz tell ans but not for points okkkkay if u ans for points i will report
plz telllllll
Answer:
Given
ΔABC with ∠A = 90°ΔADC with ∠D = 90°The two triangles share same angle ∠CWith two same angles the triangles are similar according to AA similarity postulate:
ΔABC ~ ΔDACAs we know if triangles are similar then their corresponding sides have same ratio:
AC/CD = BC/AC ⇒ AC*AC = BC*CD ⇒ AC² = BC*CDd) What fraction is equal to 50% of 1/4
Answer:
1/8
Step-by-step explanation:
50% of 1/4 = 1/8
hope this helps!
Answer:
1/8
Step-by-step explanation:
The equation P=2(l+w) gives the perimeter P of a rectangle, where l is the length and w is the width. Solve this equation for w.
Answer: P = 2(L + W) distribute the 2
P = 2L + 2W subtract 2L from both sides
P - 2L = 2W divide both sidesby 2
(P - 2L)/2 = W
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Water Cycle Diagram
Label the diagram using the following tags: precipitation, sun, evaporation, clouds, condensation, water
Answer: #4 = precipitation
#3 = evaporation
#2 clouds
#1= sun
#5= water
Step-by-step explanation:
Answer:
1: sun
2: clouds
3: Evaporation
4: Precipitation
5: Water
Step-by-step explanation:
Pls help me out!!!!!
Answer:
cab=62
cba=48
x=12
Step-by-step explanation:
70+x+50+4x=180
combine like terms
120+5x=180
-120. -120
5x= 60
isolate x
5x=60
x=12
PWEASE HELP, AREA OF A TRAPEZOID
Answer:
34 m²
Step-by-step explanation:
If AAED is dilated to points A, C, and B, which statement is true?
A)
AAED - AACB
B)
AAED AACB
The area of AAED is half the area of AACB
D)
The perimeter of AAED is one-fourth the area of AACB
Answer:
A
Explanation:
Calculate the length of each side, and add.
AD is the long leg, and AE is the short leg
So we know the basic info. Use to solve.
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What is the scale factor of the dilation of ABCD centered at the origin?
Answer:
The anwser is -1/2
Step-by-step explanation:
A trick i personally learned is that is you are shrinking then it will turn up as a fraction, but make sure that fraction is not an improper fraction and if the dialation does get bigger it will be a whole number or improper fraction.
(9&10: find the value of x & each arc measure) will mark brainliest thanks
Answer:
11:...31.84 ft.
12....19.02 m.
13....68.90 in.
14....37.33 cm
Step-by-step explanation:
The value of x for 9 will be 36.75° and for 10 will be 9°
CircleThe total sum of all the angle of circle will be 360°.
How to find the value of x?The sum of the all angles is 360°.
Solution 9
360- 61-34 +29 = 8x
x=36.15°
Solution 10
360 - 90 +9 = 31x
x = 9°
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find the equation of the line passing through points (6,-3) and (-2,3)
Which expression is equivalent to 6( 8n) - 8?
Answer:
48n-48
Step-by-step explanation:
I dont know the options but you just multiply
6 times 8n is 48n
6 times -8 is -48
Answer: 48-6n-8
Step-by-step explanation: So basically u multiply 6x8n which is 48 then all u do is leave the 8 and boom.
solve for y -20x - 4y = 16
Answer:
y = -5x - 4
Step-by-step explanation:
-20x - 4y = 16
-4y = 20x + 16
4y = -20x - 16
y = -5x - 4
HELP
NO LINKS
I NEED TO TURN THIS IN ASAP I APPRECIATE ALL HELP
Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.
PLEASE HELP ME
Answer:
2304pi inches³
Step-by-step explanation:
volume of ball = 4/3pi r³
=4/3 x pi x 12³=2304 pi inches³
What is the function notation for A(2,-5) B(5,-2) C(4,3)
Answer:
b?
Step-by-step explanation:
if I'm wrong sorry I'm just answering questions even if I dont 100% know
9. Simplify the expression: 8(5x-3y) *
Answer:
40x- 24y
Step-by-step explanation:
A reporter claims that 90% of American adults cannot name the current vice president of the United States. To investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president. Are the conditions for inference met?
Group of answer choices
Yes, the conditions for inference are met.
No, the Large Counts Condition is not met.
No, the 10% condition is not met.
No, the randomness condition is not met.
Answer: B
Step-by-step explanation:
No, the Large counts conditio is not met
The correct option is that, No, the Large Counts Condition is not met.
What are the Conditions for Inference?Conditions for inference are the three conditions on a mean are randomness, whether it is normal distribution and the independence of the test.
Given that,
The reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president.
So the sample is random.
10% condition is also met since the sample size is 50, which must be less than 10% of the total population.
So the 10% condition is also met.
Large counts condition is the condition which requires the sample size to be large enough for the distribution to be approximately normal.
So, the large counts condition is not met.
Hence the correct option is that condition of inference is not met since the Large Counts Condition is not met.
Learn more about Conditions for Inference here :
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A base is labeled on the triangle below (look at picture!)
Answer:
It's A.
Step-by-step explanation:
Find the missing side
5
1.3
6.2
8.2
Answer:
I think it is 1.3
Step-by-step explanation:
If a line contains the points in the tablet below, which is the equation of the line
Translate each expression
No answering with a link !!!
Directions :
Translate each expression 1-6
Answer:
Solving the first 6Assumed the number is x#14x - 1#2(2/3)x + 7#3m - n#4x² - 9#52x/5#6(1/4)x + 27Tell whether -2 is a solution of the intequality. 8-2x<12
(The answear is yes but i need the work too
Answer:
add 8 to 2 and then multiply the 8 with 12.
Step-by-step explanation:
Write an equation to represent the situation: Last summer, Gary trained 14
more dogs than Zina. Together they trained 82 dogs. How many dogs did Gary train?
Answer:
A. g + (g + 14) = 82
Bonus: Gary trained 48 dogs. Triana trained 34.
Step-by-step explanation:
Since Gary trained 14 MORE dogs, anything with a minus sign is definitely wrong. As a result, B & C are eliminated. D is also eliminated because that simplifies to 2g + 28 = 82, which signifies Gary trained 28 more dogs, which is not true. That leaves A as our answer.
g + g + 14 = 82
Combine g & g to get 2g.
2g + 14 = 82
Subtract 14 from both sides.
2g = 82 - 14
2g = 68
Divide both sides by 2.
g = 68/2
g = 34
With that, we now know Triana trained 34 dogs. Add 14 to that, and you get 48 dogs, which is how many Gary trained.