The number of distinct arrangements of the 9 letters in SEVENTEEN is 7560
The number (n) of letters in SEVENTEEN is given as:
[tex]n = 9[/tex]
The repeated letters are E and N, and their frequencies are:
[tex]E=4[/tex]
[tex]N = 2[/tex]
So, the number of distinct arrangements is calculated as:
[tex]Arrangements = \frac{n!}{E!N!}[/tex]
Substitute values for n, E and N
[tex]Arrangements = \frac{9!}{4! \times 2!}[/tex]
Expand the factorials
[tex]Arrangements = \frac{362880}{24 \times 2}[/tex]
[tex]Arrangements = \frac{362880}{48}[/tex]
Evaluate the quotient
[tex]Arrangements = 7560[/tex]
Hence, the number of distinct arrangements is 7560
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please answers this questions PLEASE I NEED THE FAST please
Answer:
Not gonna do the whole thing for you for 5 points
Step-by-step explanation:
The formula for Circumference is C = 2πr or C = dπ
r (radius) is the length of halfway across the circle
d (diameter) is the length across the whole circle (also it's equal to 2r)
You can solve it with that info
Don't forget to round if you need to
These marbles are placed in a bag and two
of them are randomly drawn.
What is the probability of drawing two
yellow marbles if the first one is placed back
in the bag before the second draw?
Give your answer as a ratio, reduced to
simplest terms.
[?]
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to get your answer.
What is the value of x?
Answer:
98 degrees
Step-by-step explanation:
first find angle G
53 + 45 + G = 180
subtract 45 and 53 from both sides
G = 82
angle g is supplementary (add up to 180) to x
x +82 = 180
subtract 82 from both sides
x = 98
Answer:
x = 98°
Step-by-step explanation:
There are 180° in a triangle, and 180° on a line.
180° - 53° - 45° = 82°
180° - 82° = 98°
4 Which number line represents the solution to the inequality 4 + 2x <6
Answer:
h
Step-by-step explanation:
H
a point
Find the equation of a line when given the slope and a point on the line.
Question:
What is the equation of the line that has a slope of -7 and passes through the point (4,8)?
A
+ 7y = 60
B
7x + y = 36
С
2 - 7y = -52
D
72- y = 20
Answer:
7x + y =36
Step-by-step explanation:
( y- y1) = m(x - x1)
y - 8 = -7( x - 4)
y- 8 =-7x +28
y = -7x +36
7x + y =36
What is the value of x in triangle PQR below?
Q
389
489
R
[Not drawn to scale)
88
0940
1329
1420
Mark this and retum
Save and Exit
Next
Submit
Answer:
Hello! answer: x = 94
Step-by-step explanation:
Triangles add up to 180 degrees so we just add up the two measures we do have so 48 + 38 = 86
Now we subtract that from 180 to find x so
180 - 86 = 94 So 94 is x Hope that helps!
please tell me that *FIND THE SQAURE ROOT OF 1054729 BY DIVISION METHOD*.
Answer:*FIND THE SQAURE ROOT OF 1054729 BY DIVISION METHOD*.
Step-by-step explanation:
what? you said to tell you that
Which statement best describes the association between variable X and variable Y?
Answer:
weak, negative association
Step-by-step explanation:
If variables have a strong association, the points will form a clear line/curve. Since the graph's points are scattered and fairly chaotic, we can say the association is weak.
Positive associations trend upwards and negative associations tend downwards. This graph seems to overall tend downwards, so we can say the association is negative.
5. Given: SR and ST are straight lines.
SX = SY
XR =YT
Prove: RSY = TSX
:) help me
Answer:
. Bisector cut a segment into 2 ≅ parts. 3. Intersect lines form vertical ∠ ... Prove: EC ≅ FB ... Prove: AD ≅ CB ... or SR ≅ ST Side ... SX + XR ≅ SY + YT.
Step-by-step explanation:
In the given triangles, as per given conditions ΔRSY≅ Δ TSX by SAS (Side Angle Side) theorem.
What is triangle?" Triangle is defined as the two dimensional geometrical shape with three vertices , three sides, and three angles enclosed in it."
Theorem used
SAS theorem ( Side angle side)
In given triangles, corresponding sides and included angle of one triangle is equals to corresponding sides and included angle of another triangle , then triangles are said to be congruent.
According to the question,
Given,
In a triangles,
SX ≅ SY ______ [tex]( 1)[/tex]
XR ≅ YT ______[tex]( 2 )[/tex]
Add [tex](1)[/tex] and [tex](2)[/tex] we get,
SX + XR ≅ SY + YT
⇒SR ≅ ST ____[tex](3)[/tex]
In triangle ΔRSY and ΔTSX,
SY ≅ SX ( given)
∠RSY ≅∠TSX ( Common angle)
SR ≅ ST (from [tex](3)[/tex] )
By SAS theorem (side angle side theorem ) stated above we get,
ΔRSY≅ Δ TSX
Hence, ΔRSY≅ Δ TSX by SAS theorem as per the given condition of a triangle.
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You would burn about 200 calories by walking for 1 hour. About how many calories would you burn if you walk for 15 minutes? PLS HELP ME!!!
Answer:
50
Step-by-step explanation:
So first just sort the times, and the number of calories:
200 calories -> 1hr
x -> 15 mins
So an hour is 4 times the amount of 15 mins, so all you need to do is divide 200 by 4. The answer is 50
The square canvas of a painting has an area of 64 ft2. How many feet of border should be ordered to make a frame for the painting?
4 ft
8 ft
32 ft
128 ft
A custodian plans to repaint some classroom bookcases. She has 5 1/4 gallons of paint. All of the bookcases are the same size and each requires 3/4 gallons of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answer:
7 bookcases
Step-by-step explanation:
Find how many bookcases the custodian can repaint by dividing 5.25 by 0.75:
5.25/0.75
= 7
So, the custodian will be able to repaint 7 bookcases
Two fair dice are rolled. Determine the following probability
P(one number is a multiple of 3 and the other is a multiple of 5)
The probability that one number is a multiple of 3 and the other is a multiple of 5 is
Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) + 1. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted left 1 unit. B. The graph of h is the graph of g vertically shifted down 1 unit. C. The graph of h is the graph of g vertically shifted up 1 unit. D. The graph of h is the graph of g horizontally shifted right 1 unit.
Answer:
your answer should be, B
A group of students were asked how many sisters they have visited in their lifetime. Below is a lot plot of their responses. How many observants are in this data set?
Select the correct answer.
if f(t) = 2 - 4 and 9 (7)
= 2 – xż and g(x) = x2 – 9, what is the domain of g(x) = f(x)?
OA. (-0, 2] and [2, 0)
OB. [0, 4) and (4, )
Oc. (-0, 2] and [4, 0)
D. (-0, -2] and [2, )
Answer:
Option B will be your answe
Step-by-step explanation:
hope it helps....
The width of a rectangle measures (4d – 8) centimeters, and its length measures
(7d – 3) centimeters. Which expression represents the perimeter, in centimeters, of
the rectangle?
Answer:
(22d-22) cm
Step-by-step explanation:
perimeter= 2×(4d-8+7d-3)
= 2× (11d-11)
(22d - 22) cm
Answer:
(22d-22)cm
Step-by-step explanation:
Perimeter = 2 x (width + Length)
= 2 x [(4d – 8) + (7d – 3)]
= 2 x (11d-11)
= (22d-22)cm
Which description best summarizes the correlation between the calls made and the texts sent
Mm
Answer:
Weak positive
Step-by-step explanation:
From. Visual inspection of the scatter plot, the line of best fit will have a positive slope has values of x tends to increase with a corresponding increase in the value of y.
However, the points are scattered across the plotting area meaning that most of the points will be a bit farther away from the regression line. This means a weak correlation between the x and y variables will be obtained. Since the slope is positive, theb the relationship between the variables based on the scatterplot interpretation is a weak positive correlation.
Factor the quadratic:
2x^2-7x+3
ANSWER ASAP DONT SEND A FILE WHATS THE TRANSFORMATION??
Answer:
2nd one.
Step-by-step explanation:
A calculation of the value of everything that you own minus the amount of money that
you owe.
Assets
Investment
Liabilities
Net Worth
Answer:
a
Step-by-step explanation:
the answer is asset because asset is the best option to be choosed
Find the graph to the equation below plz 20 POINTS
Answer:
the last one option 4
Step-by-step explanation:
during a nature walk jayden identified 20 animals and plants.1/4 of what he identified were animals.how many were animals?
Jasmine spent 30$ on supplies to make 60 cupcakes for a bake sale.jasmine wants to have a profit of more than 90$.Write an inequality to find the price,p jasmine could charge for each cupcake.
(i need to find what inequality finds the answer)
ALL MY 100 POINTS FOR HELP PLEASE!!
Answer:
$1.50
Step-by-step explanation:
Help me pls thanks so much
Answer:
B. (50.27)
Step-by-step explanation: a = (pi)r^2
8/2 = 4
4^2 = 16
16(pi) = 50.27
You're welcome :)
Answer:
=50.285714
Step-by-step explanation:
Area of a circle is equal to πr^2
diameter = 8 so radius = 4
22/7x4x4
22/7x16
=352/7
=50.285714
In a litter of 7 kittens, each kitten weighs less than 3.5 ounces. Find all of the possible values of the combined weights of the kittens.
3.4 x 7 = 23.8 ounces
3.3 x 7 = 23.1 ounces
3.2 x 7 = 22.4 ounces
3.1 x 7 = 21.7 ounces
3 x 7 = 21 ounces
and so on, use a calculator and go until hit 0.1 btw all these answers r written in bold. :)
PLZ ANSWER AND SHOW WORK TY :D
Answer:
[tex]-\frac{\sqrt{21}}{2}[/tex]
Step-by-step explanation:
ASTC (I use a sentence to memorize: All Students Take Calculus):
Q1 - All functions are positive
Q2 - Sine is positive (Cosecant is positive as well) (all others negative)
Q3 - Tangent is positive (Cotangent is positive as well) (all others negative)
Q4 - Cosine is positive (Secant is positive as well) (all others negative)
Applying ASTC:
Secant is negative, so it can't be in quadrant 1, and quadrant 4.
Quadrant 2 - Sine and Quadrant 3 - Tangent are left.
Cosecant is positive so it can't be in quadrant 3.
Therefore, angle x is in Quadrant 2 or QII
Secant is hypotenuse / adjacent
5 = hypotenuse (hypotenuse is never a negative number)
-2 = adjacent
use pythagorean theorem to solve for opposite (bc tan = opp / adj)
[tex](-2)^2+o^2=5^2;4+o^2=25;o^2=21;o=\sqrt{21}[/tex]
tanx = [tex]\frac{\sqrt{21}}{-2}=-\frac{\sqrt{21}}{2}[/tex]
A data set is made up of these values.
3, 3, 4, 5, 6, 7, 10
Find the interquartile range.
A. 3 - 3 = 0
B. 10 - 7 = 3
C. 7 - 3 = 4
D. 10 - 3 = 7
Answer:
C. 7 - 3 = 4
Step-by-step explanation:
Given
[tex]Dataset: 3, 3, 4, 5, 6, 7, 10[/tex]
Required
The IQR
The IQR is calculated using:
[tex]IQR = Q_3 - Q_1[/tex]
Where:
[tex]Q_3 \to[/tex] Median of the upper [tex]half[/tex]
[tex]Q_1 \to[/tex] Median of the lower [tex]half[/tex]
The dataset has 7 values, so the median is: (7 + 1)/2 =8/2 = 4th position.
Split to two, we have:
[tex]Lower \to 3, 3, 4[/tex]
[tex]Median \to 5[/tex]
[tex]Upper \to 6, 7, 10[/tex]
The lower half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_1 = 3[/tex]
The upper half has 3 data; So, the median is the 2nd position.
Hence:
[tex]Q_3 = 7[/tex]
So, the IQR is:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]IQR = 7 - 3[/tex]
[tex]IQR = 4[/tex]
The probability of the car having 4 doors is 1/2
What does that mean?
(A)It is neither unlikely nor likely
(B)It is likely
(C)It is impossible.
(D)It is definite.
Answer:
(A)It is neither unlikely nor likely
Step-by-step explanation:
answer is b
hope this helps