You and three of your friends buy tickets for a concert so that you sit together in the same row. Write an expression using factorials that could be used to find the probability that you will get the seat on the far left.
Answer:
[tex]Pr = \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex]
Required
Probability that you seat on the far left
First, we calculate the total possible seat arrangements.
This is calculated using:
[tex]Total =n![/tex]
[tex]Total =4![/tex]
[tex]Total =4*3*2*1[/tex]
[tex]Total =24[/tex]
Next, the possible seat arrangements if you seat at the far left.
This implies that you can only seat 1 spot while your friends (3) can seat on any of the remaining 3 seats.
i.e.
[tex]You \to 1[/tex]
[tex]Friend\ 1,2,3 \to 3,2,1[/tex]
The number of arrangement is:
[tex]Arrangement = 1 * 3 *2 *1[/tex]
[tex]Arrangement = 6[/tex]
The required probability is:
[tex]Pr = \frac{Arrangement}{Total}[/tex]
[tex]Pr = \frac{6}{24}[/tex]
Simplify
[tex]Pr = \frac{1}{4}[/tex]
30.16 = 17.56 + 5x what is x
Answer:
x = 2.52
feel free to hit the crown
Answer:
2.52
Step-by-step explanation:
30.16 - 17.56 = 12.6
12.6 / 5 = 2.52
To verify if you plug it in, 30.16 = 17.56 + 5(2.52)
I hope it helped :)
Find the surface area of the prism 12in 7in 5in
Answer:
Rectangular Prism Surface Area Volume = lwh; Surface Area = 2(lw + lh + wh) Sphere Surface Area Volume = (4/3) π r 3; Surface Area = 4 π r 2; Spherical Cap Surface Area. Volume = (1/3) π h 2 (3R - h) Surface Area = 2 π Rh; Triangular Prism Surface Area Top Surface Area of a Triangular Prism Formula
Step-by-step explanation:
What is the BALANCE POINT for this set of data? Type the NUMBER ONLY. :)
Answer:
The answer is "36".
Step-by-step explanation:
Please find the complete question in the attached file.
Which equation matches the graph shown ?
A. Y=8x^2 +2x -5
B. Y= 8x^2 +2x +5
C. Y=2x^2 + 8x +5
D. Y=2x^2 + 8x -5
Answer:
D
Step-by-step explanation:
Simply put 0 in the equations and see if it's true then put -2 instead of x and see if it matches. this is the easiest way.
help me plsssss i rlly need helppppp i'll give brainliestttt
Answer each question. Explain the method you chose to solve each problem. For
example, changing the percent to a fraction, changing the percent to a decimal or
inverse (switching the percent and number).
1. How long is 50% of 75 minutes?
I
2. How long is 20% of 60 minutes?
3. How long is 75% of 60 minutes?
Answer:
1. 37.5 (70*0.50)
2. 12 (60*0.20)
3. 45 (60*0.75)
Step-by-step explanation:
m * p
(percentage in decimal form)
Select all expressions that are equivalent to −4(+2)−2+4
A) −6−4
B) −4+2−2+4
C) −10
D) −4−2−8+4
can you help me with this please
least to greatest -2/5, -2/3, -0.8, -3/4
Answer:
-0.8 -3/4 -2/3 -2/5
Step-by-step explanation:
Answer:
-3/4, -0.8, -2/3, -2/5
Step-by-step explanation:
PLZ HELP IM ON A TIMER ALL THE ANSWERS IS ON THE SCREEN SHOT :{{{ plz hurry
Answer:
A) -10 + (-10)
Step-by-step explanation:
Clark is conducting and expermint in which he drains water form buckets. The buckets do not have the same amount of water. Bucket A loses water at the rate of 10 ml per minute. The table represents the water in bucket B. The graph represents the water in bucket C
Answer:
A - B - C
Step-by-step explanation:
What percent of data is less than 20?
Answer:
100%
Step-by-step explanation:
The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.
given sec0=29/21 and sin0>0 find csc0
csc theta = 29/30
Step-by-step explanation:
sec theta = hypotenuse/adjacent = 29/21
where hypotenuse = 29 and adjacent = 21
We can use these values and Pythagorean theorem to find the value of the opposite side:
(opposite)^2 = (hypotenuse)^2 - (adjacent)^2
= (29)^2 - (21)^2
= 400
or
opposite = 20
Therefore,
csc theta = hypotenuse/opposite = 29/20
Please solve these, I thank you my friends
Write and solve an equation to find the value of x
Answer:
180 - (52 + 28) = x and then x = 100.
Step-by-step explanation:
A triangle's angles must ALWAYS add up to 180. No matter what. So, the problem gives us 2 of the three angles already, 52 and 28. 52 + 28 is 80. As I mentioned before, a triangle's angles must always add up to 180, so to find x, you must subtract 80 from 180, getting 100. Therefore, x is 100 degrees.
The equation we used to find that is: 180 - (52 + 28) = x.
52 and 28 are the two angles we know, and subtracting their sum from 180 gives us the missing angle.
PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.
Answer:
p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original. More
Answer:
The perimeter will be 10 times the original.
Step-by-step explanation:
please help. Will give BRAINLIEST!!!!!
Answer:
√13
Step-by-step explanation:
if you try Pythagorean's theorem for each one, you should get that √13 doesn't work.
Answer:
13
Step-by-step explanation:
Pleaseee help easy math! no links. full explanation needed. (will give brainlyist) :))
Answer:
B is right becuase out of all of the answers this one is the least value with 26
Step-by-step explanation:
2x3x4+5 is false becuase the answer 29 which is the 2nd most value(2X3) + (4x5) is true because the answer 25 which is the least(2+3+4)x5 is false because the answer 45 which is the 3rd most value 2X(3+4)% is false because the answer 79 which is the 4th most value Hence B is rightBrainliist plsDOES ANYONE KNOW WHAT THUS WOULD BE !!!?
Answer:
120cm^3
Step-by-step explanation:
With the radius of 6, multiply 6 by itself to square it.
36
Then multiply that by the height of 10
360
Lastly divide by 3
120cm
Answer:
120
Step-by-step explanation:
What is the product of -3 and 5? A. -15 B. -8 C. 8 D. 15
Answer:
A) -15
Step-by-step explanation:
Answer:
A. - 15
Step-by-step explanation:
Got it right
I NEED THE ANSWER IN THE NEXT MINUTE
Answer:
BD is a diameter
Step-by-step explanation:
19. Linton's rectangular garden is 5 3/4 feet long and 4 1/2 feet wide. What is the area of the garden?
Answer:
20 1/4
Step-by-step explanation:
since 4 1/2 we need to change the denominator 1/2 x 2 = 2/4 now multiply
4 2/4 x 5 3/4 = 20 1/4
Please answer, no links please.
Answer:
what you need help with? there is no picture or question
Step-by-step explanation:
Answer:
Solution given:
area of semi circle h=½πr²=½×π×5²=39.27in²
area of rectangle EFHI=l×b=6×3=18in²
area of rectangle CDFG=l×b=17×2=34in²
Total area: 39.27+18+34=91.27 square inches
Rewrite the function by completing the square.
g(x)=4x^2-16x+7
g(x)=___(x+___)^2+__
Answer:
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 4x^2 - 16x + 7[/tex]
Required
Complete the square
Rewrite so that [tex]x^2[/tex] has 1 coefficient
[tex]g(x) = 4(x^2 - 4x) + 7[/tex]
Take half of the coefficient of x
[tex]\frac{4}{2} = 2[/tex]
Square the result
[tex](\frac{4}{2})^2 = 2^2[/tex]
[tex](\frac{4}{2})^2 = 4[/tex]
Add and subtract the result in the bracket
[tex]g(x) = 4(x^2 - 4x + 4 - 4) + 7[/tex]
Expand the bracket to remove -4
[tex]g(x) = 4(x^2 - 4x + 4) - 16 + 7[/tex]
[tex]g(x) = 4(x^2 - 4x + 4) -9[/tex]
Expand the bracket
[tex]g(x) = 4(x^2 - 2x -2x+ 4) -9[/tex]
Factorize
[tex]g(x) = 4(x(x - 2) -2(x-2)) -9[/tex]
Factor out x - 2
[tex]g(x) = 4((x - 2)(x-2)) -9[/tex]
Express as square
[tex]g(x) = 4(x - 2)^2 -9[/tex]
Tuan is an artist. He is painting on a large canvas which is 49 inches wide. The height of the canvas is 3 inches less than the width. What is the area of Tuan's canvas? The area of the canvas is square inches
Given:
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width.
To find:
The area of the canvas.
Solution:
It is given that,
Width of the canvas = 49 inches
The height of the canvas is 3 inches less than the width
So, the height of the canvas is:
[tex]h=49-3[/tex]
[tex]h=46[/tex]
We know that the shape of the canvas is a rectangle and the area of the rectangle is:
[tex]A=length\times width[/tex]
The two dimensions of the canvas are 46 inches and 49 inches. So, the area of the canvas is:
[tex]A=46\times 49[/tex]
[tex]A=2254[/tex]
Therefore, the area of the canvas is 2254 square inches.
What's the gradient of y=3x+1
Answer:
3
Step-by-step explanation:
y = 3x + 1
This is in slope-y-intercept form: y = mx + c
Gradient = m = 3
Can someone help me
Answer:
Step-by-step explanation:
use the slope formula
Answer:
1) 3/2 2) 1 3)-5/3 4) 5/4 5) -5/9 6) 4/5 7) 8/5 8) 1/4 9) 1/2 10) 2/3 11) 0 12) -1/3 13) 1 14) -1
Step-by-step explanation:
Lorenzo has a package that weighs 2 pounds. He wants to check The weight of the package on a scale, but he only has weights that are measured in ounces. Drag the weight into the box that will balance the scale. Each weight can be used once or not at all.
Answer:
32 ounces
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 16 x 2 = 32 ounces
A farmer grows a new variety of pumpkin, hoping to have
larger pumpkins to sell. To see how large the new variety
grows, she collects some statistical data.
1. The farmer plants the seeds in late May.
2. In October, she harvests the pumpkins.
3. After harvesting, she weighs each pumpkin on a scale
and records its weight
4. The farmer places the pumpkins on tables based on
their size.
Which step describes how the data were measured?
Answer:
C
Step-by-step explanation:
Answer:
is C
Step-by-step explanation:
A pex i took the test
give brainlist if feeling nice
Tobin finds satellite images of a factory and an athletic stadium. She puts the images on a coordinate grid (shown
below).
(khan academy)
Answer:
The area of the factory is about 3000 m more than the area of the stadium
Step-by-step explanation:
The area of the factory can be said to be 3000m² more than the area of the stadium.
How to solve for the area of the factoryThe area of the factory is given as S1
S1 = √80² + 200² * √40² + 100²
= √6400+40000 * √1600 * 10000
=√46400 * √11600
= 23200m²
How to solve for the area of the stadiumS2 = 80² * 3.14
= 20096
The difference in areas = S1 - S2
= 3000m²
Read more on area here:
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