Using the arrangements formula and the probability concept, it is found that:
The race can be completed in 24 ways.A can finish first and C second in 2 ways.[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.The number of possible arrangements of n elements is given by:
[tex]A_n = n![/tex]
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 4 runners, hence, the number of different ways the race can be completed is:
[tex]A_4 = 4! = 24[/tex]
Considering A first and C second, for the third and fourth positions, it is an arrangement of 2 elements, hence:
[tex]A_2 = 2! = 2[/tex]
The probability is:
[tex]p = \frac{2}{24} = \frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.
A similar problem is given at https://brainly.com/question/24648661
A point is plotted on a number line at 3.7. A second point is plotted at -5.5. What is the length of the line segment joining these points? Enter your answer as a decimal in the box.
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Whta is the area of this figure 3ft 4ft 2ft 1ft 8ft
The answer is 192. 3 times 4 times 2 times 8 equals 192 (you can skip the one since it doesn't change the process
Can someone please scallion what I have to do to get the answer? Please explain step by step to get marked!
Answer:
12,800 mL
Step-by-step explanation:
1 L = 1,000 mL
12.8 L × 1,000 mL = 12,800 mL
or
Move the decimal place 3 places to the right to get the same answer
What is the slope-intercept form of the linear equation 4x + 2y = 24?
Drag and drop the appropriate number, symbol, or variable to each box.
х
y
4
- 2
-
1
2
1
2
2
4
12
24
+
I
Answer:
The equation is y = -2x + 12.
Drag the symbol or variables y, =, -2 , x, +, 12
Step-by-step explanation:
Slope intercept form: y = mx + b.
Solve 4x + 2y = 24 for "y"
4x + 2y = 24
2y = -4x + 24
2/2y = -4/2x + 24/2
y = -2x + 12
find the square root of -25
Answer:
5
Step-by-step explanation:
Answer:
5i
(i represents that the number is "imaginary", because you can't actually have a negative root.)
Step-by-step explanation:
Hope this helps :)
A plane flies 15 miles in 20 seconds. How long would it take the plane to cover 30 miles?
Answer:it would take the plane 40 seconds
Step-by-step explanation:
if you multiply by two then you would be able to get 30
like 15 times 2 and since it’s 15 miles to 20 seconds or 15:20 you would have to multiply by the same number.
The value of y varies directly with x. If y=108 when x=48, what is the
value of y when x = 22?
Answer:
82 is the correct answer
Which facts could be applied to simplify this expression? Check all that apply.
5x+3y+(-x)+6z
To add like terms, add the coefficients, not the variables.
First add 5x + x.
The simplified expression is 4x+3y+ 6z.
Only combine terms which contain the same variable.
The simplified expression is 5x+3y +6z.
Answer:
Step-by-step explanation:
To add like terms, add the coefficients, not the variables.
The simplified expression is 4x+3y+ 6z.
Only combine terms which contain the same variable.
if q =(a,b,c,d,e) how many subsets can be obtained from the set q?
Step-by-step explanation:
n(q) = 5
Subsets = 2^n = 2^5 = 32
What is the first 100 diget of pi?
can someone help please?
Answer:
m = -4
Step-by-step explanation:
In y=mx+b m is slope, and b is y-intercept.
In this case m = -4
Hope this helps :)
Part A
Drag all of the steps necessary into the box to find the product of 2.3 x 0.5 using partial products.
\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right]
The product of 2.3 x 0.5 using partial products is 1.15.
What is a partial products?A product obtained by multiplying a multiplicand by one digit of a multiplier having more than one digit.(So, the 2 in 23 would actually be 20.) For instance, 23 x 42 would become (20 x 40) + (20 x 2) + (3 x 40) + (3 x 2).
Given:
The given integer is
2.3 x 0.5
=23x5/100
According to given question we have
By use of partial products we get,
The partial product method involves multiplying each digit of a number in turn with each digit of another where each digit maintains its place.
(20*00)+(20*5)+(3*00)+(3*5)
=0+100+0+15
=115
=115/100
=1.15
Therefore, the product of 2.3 x 0.5 using partial products is 1.15.
Learn more details about partial products here:
https://brainly.com/question/24716925
#SPJ5
Stretch Your Thinking Joelle's cooking class is 23 times as
long as her karate class. Her cooking class starts at 4 P.M.
If her karate class is hour long, at what time does her
cooking class end? Explain.
Answer: 6 pm the next day
Step-by-step explanation:
Her karate class is 1 hour long so 1 x 23 then you add the hours starting from 5 pm.
Help this is for homework and I need it right now.
Answer:
E = $9.25 * H if i havent mistaken
Evaluate the expression when y=9 and x=7.
8y + x
Solution:
y = 9, x = 7
8y + x8(9) + 772 + 779;-;
Find the missing side. Round to the nearest tenth.
Answer:
x = 6.89
Step-by-step explanation:
tan(19) = (x/20)
20 * tan(19) = x
x = 6.89
you want to measure the volume of the vase which has an unusual shape in that it was crafted unigualyby a master bower and there is thus no mathematical formula that you can use how would you go abouy this
If you answer this you'll get 50 points but it has to be correct.
Answer:
you answer this you'll get 50 points but it has to be correct
i need help with this question
Answer: What's the question?
Step-by-step explanation:
2/5 is closet to 0 1/2 or 1
Answer:
2/5 is closest to 1/2
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
2/5 = 0.4
1/2 = 0.5
Therefore closer to 1/2
Find the slope of the line using the graph. Write an equation of the line using the graph.
Answer:
slope: -3equation: y = -3x +5Step-by-step explanation:
The slope formula can be used with the marked points.
m = (y2 -y1)/(x2 -x1)
m = (-1 -2)/(2 -1) = -3/1 = -3
The graph apparently intersects the y-axis at y=5, so the slope-intercept equation is ...
y = mx +b . . . . . . . line with slope m and y-intercept b
y = -3x +5
The sum of the reciprocal of two consecutive integers is -17/72. Find the two integers
Answer:
Step-by-step explanation:
2x+3
Answer:
8*9=72, I think and if is wrong i'm sorry
Step-by-step explanation:
x = first number
x + 1 = second number
1 / x + 1 / ( x + 1 ) = 17 / 72
[ 1 * ( x + 1 ) + 1 * x ] / [ x * ( x + 1 ) ] = 17 / 72
[ ( x + 1 ) + x ] / [ x * x + x * 1 ) ] = 17 / 72
( 2 x + 1 ) / ( x ^ 2 + x ) = 17 / 72 Multiply both sides by 72
72 * ( 2 x + 1 ) / ( x ^ 2 + x ) = 17
( 72 * 2 x + 72 * 1 ) / ( x ^ 2 + x ) = 17
( 144 x + 72 ) / ( x ^ 2 + x ) = 17 Multiply both sides by x ^ 2 + x
144 x + 72 = 17 * ( x ^ 2 + x )
144 x + 72 = 17 * x ^ 2 + 17 * x
144 x + 72 = 17 x ^ 2 + 17 x Subtract 144 x to both sides
144 x + 72 - 144 x = 17 x ^ 2 + 17 x - 144 x
72 = 17 x ^ 2 - 127 x Subtract 72 to both sides
72 - 72 = 17 x ^ 2 - 127 x - 72
0 = 17 x ^ 2 - 127 x - 72
17 x ^ 2 - 127 x - 72 = 0
The solutions are:
x = - 9 / 17 and x = 8
- 9 / 17 isn't positive integers so x = 8
first number = 8
second number = 8 + 1 = 9
Proof:
1 / x + 1 / ( x + 1 ) =
1 / 8 + 1 / 9 =
( 1 * 9 + 1 * 8 ) / ( 8 * 9 ) =
( 9 + 8 ) / 72 = 17 / 72
Pls and thank you, take care, God bless you:))
Answer:
No movement
Step-by-step explanation:
It took Kelly 5 2/3 hours to fly from City A to City B then it took her another 2 3/5hours to fly from City B toCity C. Kelly flew a total how many hours?
Answer:
eto na po
Step-by-step explanation:
5 2/3 × 2 3/5 = 5 6/15 answer
Find the
slope of the line
graphed below.
Answer:
2/5 sorry if im wrong:")
Step-by-step explanation:
If 3sin ⁻¹ (2x/1+x²)-4cos⁻¹(1–x²/1+x²)+2tan⁻¹(2x/1–x²)=π/3. Then, x=.
a 1/√3 b1/√2 c 2 d 1
Answer:
Option A.)
The answer is 1/√3
Step-by-step explanation:
3sin⁻¹ (2x/1 + x²) - 4cos⁻¹ (1 - x²/1 + x²) + 2tan⁻¹ (2x/1 - x²) = π/3
Put x = tanθ
3sin⁻¹ (2tanθ/1 + tan2θ) - 4cos⁻¹ (1 - tan2θ/1 + tan2θ) + 2tan⁻¹ (2tanθ/1 - tan2θ) = π/3
3sin⁻¹ (sin2θ) - 4cos⁻¹ (cos2θ) + 2tan⁻¹ (tan2θ) = π/3
3.2θ - 4.2θ + 2.2θ = π/3
⇒ 2θ = π/3
⇒ θ = π/6
∴ tan-1x = π/6 ⇒ x = tan (π/6) = 1/√3
Thus, The answer is 1/√3
-TheUnknownScientist 72
Select the expression that represents the additive inverse of -12/5.
A. 12/5
B. 5/12
C. -5/12
D. -12/5
what are all solutions to m•m•m=729
A family of 6 members that is made up of Papa, Mama and their 4 children go to the stadium to watch the Peru playoff game. They find 6 available seats together in the same row. How many ways can they be located if parents have to stay to the ends?
please help i will give brainliest to one who answers
You and a friend work at a job, The job paid $20 and you and the friend have to split it evenly, except your friend must make $1.00 more. How much will each of you get?5 sentences, please help i will give brainliest to one who answers
Answer:
20 ÷ 2 is 10. and since your friend you smoke $1 more they would get 11 dollars and you would get $9
