Explanation:
We have 8 choices for the first slot, 7 for the second, and so on. We count our way down until we have 1 choice left for the eighth slot.
We'll get 8*7*6*5*4*3*2*1 = 40,320 different permutations.
You could use the nPr formula
[tex]_nP_r = \frac{n!}{(n-r)!}[/tex]
with n = 8 and r = 8 to get the same result. The exclamation marks indicate factorials.
The 8 violinists can be seated in 40,320 ways.
What is permutation?A permutation is an arrangement of items in a specific direction or sequence. One should consider both the selection and the arrangement while dealing with permutation. In permutations, ordering is crucially important. The permutation is seen as an ordered combination, in other words.
Given In the orchestra, there are eight violinists in the front row,
the sitting arrangement of violinists is done with the help of permutation,
ⁿPₓ = n!/(n - x)!
here n = 8 and x = 8
(n - x)! = (8 - 8)!
(n - x)! = = 0! = 1
⁸P₈ = 8!/1
⁸P₈ = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1
⁸P₈ = 40,320
Hence they can be seated in 40,320 ways.
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On Monday, Erin ran a mile in 7.5 minutes. On Tuesday, she ran a mile in 6.9 minutes. What was the average time for a mile over those two days, expressed as a fraction?
Answer: 14.4/2
Step-by-step explanation: to find the average time, we add both numbers then divide by how many numbers we have, which is two. So 7.5 + 6.9 = 14.4. we then divide by 2, so 14.4/2.
Which of the following statement(s) is/are true about rectangles? i. The diagonals are congruent. ii. All sides are congruent. iii. Both pairs of opposite sides are parallel. iv. The diagonals are perpendicular bisectors of each other.
Answer:
i. The diagonals are congruent.
iii. Both pairs of opposite sides are parallel.
iv. The diagonals are perpendicular bisectors of each other.
Step-by-step explanation:
Plan quadrilateral, which has four right angles; surface bounded by this quadrilateral. (A parallelogram is a rectangle if it has a right angle or if its diagonals [segments] have the same length. The perpendicular bisectors of two consecutive sides of a rectangle are its axes of symmetry.)
The length of a rectangle is the larger of its two dimensions, the smaller being its width. For measurement purposes, we sometimes distinguish the base b and the height h of a rectangle: Either side of the rectangle can be used as the base; the adjacent side will then be the corresponding height.
Note: A rectangle, therefore, has all the properties of a parallelogram:
Parallel opposite sides
Same length for opposite sides
The intersection of diagonals in the middle
A rectangle possesses two axes of symmetry, which are the perpendicular bisectors of its sides.
A rectangle has a center of symmetry, which is the point of intersection of its diagonals.
Answer:
The diagonals are congruent.
Both pairs of opposite sides are parallel.
The diagonals are perpendicular bisectors of each other.
Brainliest Answer
(has to be right for brainliest)
Answer:
it is 0.7x0.4=0.28
Step-by-step explanation:
Answer:
3627514
Step-by-step explanation:
please help and I will mark big brain
Answer: 6
Step-by-step explanation:
(41--1)/ (8-1) = 42/7 = 6
Answer:
6
Step-by-step explanation:
I learned this before
Solve for the values of x and y
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side x=26 units
Step-by-step explanation:
The Pythagorean theorem states
[tex]\:a^2\:+\:b^2\:=\:x^2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]24^2\:+\:10^2\:=\:x^2[/tex]
switch both sides
[tex]x^2=24^2+10^2[/tex]
[tex]x^2=576+100[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{676},\:x=-\sqrt{676}[/tex]
[tex]x=26,\:x=-26[/tex]
As x can not be negative.
Therefore, the value of the missing length of the side x=26 units
SOLVING LEFT-SIDED RIGHT TRIANGLE
Answer:
The value of the missing length of the side y=15 units
Step-by-step explanation:
Considering the right-sided right triangle
The Pythagorean theorem states
[tex]a^2\:+\:b^2\:=\:c2[/tex]
We will use the Pythagorean Theorem to solve for the missing side length.
[tex]15^2\:+\:y^2\:=\:\left(15\sqrt{2}\right)^2[/tex]
[tex]225+y^2=450[/tex] ∵ [tex]\left(15\sqrt{2}\right)^2=450[/tex]
[tex]y^2=225[/tex]
[tex]y=\sqrt{225},\:y=-\sqrt{225}[/tex]
[tex]y=15,\:y=-15[/tex]
As y can not be negative.
Therefore, the value of the missing length of the side y=15 units
What is the Additive inverse of -7?
Answer:
7
Step-by-step explanation:
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.
The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.
Examples
In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.
-3 + 3 = 0
3 - 3 = 0
The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.
Answer:
7
Step-by-step explanation:
The additive inverse of a number is is the number that, when added to it, yields zero.
A friend gives you two baseball cards for your birthday. Afterward you begin collecting them. You buy the same number of cards once each week. The equation y=4x +2 describes the number of cards ,y, you have after x weeks.
Answer: x and y have the same absolute value. Also, x is a positive number, and y is a negative number.
Step-by-step explanation:
Answer:
The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.
Step-by-step explanation:
Given the equation which describes the number of cards, y, you have after x weeks: y=2x+4
Comparing this with the slope intercept form of the equation of the line: y=mx+b, where:
m is the slope
b is the y-intercept.
We have that:
Slope, m=2.
A slope of 2 indicates that you buy 2 cards per week.
The y-intercept of the line, b=4.
This is the starting value. In this case, it represents the number of cards you were given by your friend.
The slope is 2, while the y-intercept is 4. This equation represents starting with 4 cards and adding 2 cards each week.
Among all pairs of numbers whose sum is 12 , find a pair whose product is as large as possible. What is the maximum product? Show steps.
Answer:
We can only take positive number , Because negative is always smaller than positive.
We can take ,
6 + 6 = 12 .
6 x 6 = 36.
Where both are largest numbers possible.
Thus, the answer is 36.
The required pair of values which gives a sum of 12 and the largest product is 12
For a pair of numbers that sums of to 12 to ba as large as possible, then only positive integers would be considers.
11 and 1 = (11 × 1) = 11
10 and 2 = (10 × 2) 20
9 and 3 = (9 × 3) = 27
8 and 4 = (8 × 4) = 32
7 and 5 = (7 × 5) = 35
6 and 6 = (6 × 6) = 36
From the list, the highest product obtained is a value of 36. Hence, the number are 6 and 6.
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X=-2.
ㄱ
f(x) = 2x-2+5
Step-by-step explanation:
from,
f (x) = 2x-2+5
BUT x=-2
f (x) = 2 (-2)-2+5
= -4-2+5
= -6+5
= -1
so,
f (x) = -1
Can you do this for me?
Answer:
10, 20, 30, 40
2.5, 5, 7.5, 10
120.8, 60.4, 30.2, 15.1
3624, 1812, 906, 453
hope this helps!
whats is the only solution of 2x2+8x2-16?
Answer:
4
Step-by-step explanation:
F(x)=3x+10
g(x)= x-2
Find g(f(-10))
Solve please
Answer: -22
Step-by-step explanation:
first let's plug in -10 to the f(x) function.
F(-10) = 3(-10) + 10 = -30 +10 = -20
Now we plug in -20 into the g(x) function
g(-20) = -20 -2 = -22
Answer:
If g(x) = x - 2, then g(f(x)) = f(x) - 2. So the whole equation would be: 3x + 10 × x - 2. Simplified: g(f(x)) = 13x - 2
UwU
Please help due in 5 min
Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?
A. 24%
B. 30%
C. 44%
D. 60%
PLEASE show work
Answer:
B. 30 Percent
15+9=24
24/80=30 Percent
Step-by-step explanation:
I need help on this one please
Answer:
here is what i think
Someone please help I’ve been spamming on this and no one has helped yet so please
Answer:
The value of x would 12.2.
Step-by-step explanation:
You have to use the pythagorean theorem to solve this.
a = 5.85 (11.7/2)
b = what we are trying to find
c = 13.5
[tex]\sqrt{13.5^{2} - 5.85^{2} }[/tex] = 12.1666 which rounds to 12.2
I hope this helps, I apologize if it isn't right.
The difference between five halves of a number and 17 is 48
Answer:
let the number be X
it's five Half's = 5/2×x
by the condition
5/2x-17 =48
X = 48×-85/2
X = 24 × -85
If the difference between five halves of a number and 17 is 48 then the number is 26.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The difference between five halves of a number and 17 is 48.
Assuming the number to be 'n'.
∴ (5/2)x - 17 = 48.
5x - 34 = 96.
5x = 130.
x = 26.
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what value for n makes the following sentence true ?
2( n+3 )=5
ILL MARK BRAIIST !!!
Answer:
-0.5
Step-by-step explanation:
Answer:
n= -0.5
Step-by-step explanation:
2(n+3)=5
2n+6=5
2n=-1
n=-1/2= -0.5
answer if you have the ability to
Answer:
A is the answer.
Please help me find the line of the line showed
Answer:
[tex]m=\frac{1}{6}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-5, -4)
Point (1, -3)
Step 2: Find slope m
Substitute: [tex]m=\frac{-3+4}{1+5}[/tex]Add: [tex]m=\frac{1}{6}[/tex]Which phrase does not describe a rational number?
Select one:
repeating decimal
integer number
terminating decimal
О
non-repeating, non-terminating decimal
========================================================
Explanation:
Any rational number is of the form p/q, where p and q are integers and q is nonzero. So basically it's any fraction you can think of.
If a decimal terminates (ie stops) then it is a rational number.
For instance, 0.9 = 9/10 is rational
If a decimal repeats in some way, then it is rational
Eg: 0.0833333.... = 1/12
The dots after the 3 indicate the 3's go on forever.
So far, the facts mentioned allow us to rule out choices A and C. Choice B can be ruled out as well because any integer is always rational. We can easily prove it as such by writing the integer x as x/1.
A more concrete example could be writing the integer 7 as 7/1. So this shows 7 is rational and any integer is rational. Simply stick the integer over 1.
The only thing left at this point is choice D. Any non-repeating non-terminating decimal will be irrational. An example would be pi = 3.14159... which goes on forever without a pattern that repeats. Effectively the decimal digits of pi are more or less random. An irrational number is one that is not rational, and therefore cannot be written as a ratio of two integers.
as a membership fee, a health club charges a one time amount of $40 and charges $25 each month. the total fee after m months is $240 what is the value of m
Answer:
The value of M is M I just kidding but the value of M is 4 Months because if you add 40 and 25 each time then eventually you would get 240$. Hope this helps please give brainlist. Please
Answer:
m= 4 months
Step-by-step explanation:
divide and subtract them numbers
3(x − 2) = 12 nvwdksbvjkdsbvjkds jksncjv
One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, \small x, and the amount of donations in dollars, \small y, that the organization collected each week for 10 weeks. The data in the scatter plot suggest a linear association. A line to model the data is given by \small y=12x+41.
Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.
Answer:
The more hours she worked the more donations she would receive.
Step-by-step explanation:
In the chart the higher the number of how many hours she worked resulted in a higher amount of donations
The association between the variables is strong and positive.
The equation of a straight line is given by y = mx + c. can easily make use of a regression line to ascertain the nature of the relationship between two variables as we can see in the graph shown in the question.
From the graph shown in the question, it is easy to ascertain that the association between the variables is strong and positive. The association is strong because the points lie together and positive because the plot increases linearly.
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true or false , the best way to represent all the solutions to a linear inequality is to graph a single line through the x intercept and y intercept where neither side of the line is shaded
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.
Answer:
84%
Step-by-step explanation:
The Empirical rule formula states that:
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Mean = 8.06
Standard deviation = 1.52
Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.
Using the first rule if Empirical formula
68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ
μ + σ
= 8.06 + 1.52 = 9.58
This satisfies one side of the distribution, hence:
100 - 68%
= 32%
P(x >9.58) = 32%/2 = 16%
Hence,the percentage of American women have shoe sizes that are less than 9.58 is
P(x < 9.58) = 100 - 16%
= 84 %
7.15 divided by 65 what is the answer? I need help to solve this problem
Answer:
7.15/65 = 0.11
which option gives you more snack when spending the same amount of money?
Doritos 4.39 for 11.5 oz
or
cheetos 9.75 for 3.24
Answer:
Spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.
Step-by-step explanation:
Given that the Doritos package costs $ 4.39 and contains 11.5 ounces of product, the price of each ounce of said snack comes from the following calculation:
4.39 / 11.5 = X
0.38 = X
Therefore, each ounce of Doritos costs $ 0.38.
In turn, the Cheetos package costs $ 3.24 and contains 9.75 ounces of snacks, so its price per ounce is obtained through the following calculation:
3.24 / 9.75 = X
0.33 = X
Thus, each ounce of Cheetos costs $ 0.33.
Therefore, spending the same amount of money, Cheetos gives more snacks than Doritos, since with the same money more ounces of the product will be obtained.
Use the inequality 24 ≥ 58 + 5(x - 3.8)
Solve for the inequality X.
Pls help I need to hand it in by 4:00..
Answer:
Work shown below!
Step-by-step explanation:
24 ≥ 58 + 5(x - 3.8)
Distribute;
24 ≥ 58 + 5x - 19
Collect like terms;
24 ≥ 39 + 5x
Subtract 39 from both sides;
-15 ≥ 5x
Divide both sides by 5;
x ≥ -3
Michael bought 4 types of fruit to make a fruit salad. He paid $3.00 per pound of apples, $2.00 per pound for bananas, $2.50 per pound for grapes, and $3.50 per pound for blackberries.
He bought the same number of pounds of each fruit. Let the number of pounds be represented by the variable x.
Michael figured out the total amount of money that he spent on fruit can be shown using the expression 3x+2x+2.50x+3.50x
Which expression shows how Michael’s expression can be written in an equivalent single term?
A. (2+2.50)(3+3.50)x
B. (2+3+2.50+3.50)x
C. (2) (3) (2.50) (3.50)x
D. (2) (3)x+(2.50) (3.50)x
Answer:
C
Step-by-step explanation:
you can add like terms so C is the correct answer
Answer:
hi how are you doing today Jasmine
A fencewill go around a circular Garden. The radius of the garden is 29 feet what length of fence is needed
Answer: 58π = 182. 21 feet
Step-by-step explanation:
Circumfrence is kinda like the perimeter of the circle and we need to use the cirucumfrence formula 2πr to solve for the length of fence needed.
2π(29) = 58π = 182. 21 feet