Step-by-step explanation:
This is a classic puzzle!
The answer is that the probability that the last person ends in up in his proper seat is exactly
1
2
The reasoning goes as follows:
First observe that the fate of the last person is determined the moment either the first or the last seat is selected! This is because the last person will either get the first seat or the last seat. Any other seat will necessarily be taken by the time the last guy gets to 'choose'.
Since at each choice step, the first or last is equally probable to be taken, the last person will get either the first or last with equal probability:
1
2
.
Sorry, no clue about a physical system
Can anyone help with this it is for Geometry
Answer:
three angle one slide
Step-by-step explanation:
What is a equivalent expression for 10(y² + 2.45)
Answer:
10y²+24.5
Step-by-step explanation:
distribute.
10y²+24.5
Hope this helps plz hit the crown :D
The equivalent expression for the given expression is 10y²+24.5.
The given expression is 10(y² + 2.45).
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The equivalent expression is
10(y² + 2.45)
=10y²+24.5
Therefore, the equivalent expression for the given expression is 10y²+24.5.
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Solve for the value of f: ½(6 + 4) + 5f = 10
Answer:
Start by combing any like variable and distributing the values.5+5f=10 5f=5f=1Find the slope of the line containing the points in the table below
Answer:
slope = 3
Step-by-step explanation:
Choose any two points: For example, (2, 4) and (4, 10)
Find the difference in y. This is called the "rise."
rise = 10 - 4 = 6
In the same order, find the difference in x. this is called the "run."
run = 4 - 2 = 2
slope = rise/run
slope = 6/2
slope = 3
What is 3/8 divided by 4/1
If two sides of a triangle are 7 and 14, the third side may be?
Estimate the quotient for:
4,819÷68
Answer:
≈ 70.87 (rounded to the nearest hundredth)
Step-by-step explanation:
-When you do 4,819 ÷ 68, you’ll get:
70.867647058....
-So, just round it to the nearest hundredth:
70.87
There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds
60 x 5 + 45 = 345 Seconds
In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?
[asy]
unitsize(3 cm);
pair X, Y, Z;
X = (0,1);
Y = (-1,0);
Z = (1/sqrt(3),0);
draw(X--Y--Z--cycle);
label("$45^\circ$", Y + (0.3,0.1), fontsize(10));
label("$60^\circ$", Z + (-0.2,0.1), fontsize(10));
label("$X$", X, N);
label("$Y$", Y, SW);
label("$Z$", Z, SE);
label("$4$", (X + Z)/2, NE);
[/asy]
Answer:
[tex]XY = 4.9[/tex]
Step-by-step explanation:
[tex]\angle Y = 45^\circ[/tex]
[tex]\angle Z = 60^\circ[/tex]
[tex]XZ = 4[/tex]
Required
Determine the length of XY?
This question is supported with the attachment.
To solve for the length of XY, we make use of the sine law which states:
[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}[/tex]
In this case:
[tex]\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}[/tex]
Substitute in, the following values:
[tex]\angle Y = 45^\circ[/tex]
[tex]\angle Z = 60^\circ[/tex]
[tex]XZ = 4[/tex]
The expression becomes:
[tex]\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}[/tex]
Cross multiply
[tex]XY * \sin\ 45 = 4 * \sin\ 60[/tex]
Make XY the subject
[tex]\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]
[tex]XY = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]
[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]
[tex]XY = \frac{3.4640}{0.7071}[/tex]
[tex]XY = 4.89888276057[/tex]
[tex]XY = 4.9[/tex] --- approximated
Answer:
XY = 4.9
Step-by-step explanation:
The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?
Answer:
4:120
Step-by-step explanation:
for 120 student they would be 4 teacher needed per 30 student
4:120
Solve five ninths minus two sixths
options:
twelve fifty fourths
twenty fifty fourths
six thirds
three over one
In the figure, if the measure of ∠1 = 112o, what's the measure of ∠12?
Answer:
the measure of angle 12 is 68degrees
A rectangular monitor's size is measured diagonally from 1 comer to the opposite comer. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high,
nearest
Answer:
somewhere around 38-44
Step-by-step explanation:
i would like brainliest plz, i know bad answer
Answer:
How do you solve it?
Step-by-step explanation:
2x+y=42
8x+7y=36
Using the process of eliminations.
Answer:
x=43,y=-44
Step-by-step explanation:
hey i hope it helps you
2x+y=42(7)
8x+7y=36(1)
14x+7y=294
8x+7y=36
6x=258
divide both sides by 6
x=43
to get y
2x+y=42
equate x=43
8(43)+7y=36
344+7y=36
344-36=7y
308=7y
divide both sides by 7
y=-44
`y=2x+1` was a positive slope because...
Step-by-step explanation:
.....because the coefficient of x is 2, a positive number.
. Ruiz wants to buy a coffee machine that costs
$45.00. How much would the cashier give Ruiz if she
gives the cashier a $100 bill?
Ruiz would get back 55 dollars 0 cents
Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds
Answer:
166.67 pounds
Step-by-step explanation:
Set up a proportion where x is Tom's weight in pounds:
[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]
Cross multiply and solve for x:
75 = 0.45x
166.67 = x
So, Tom weighs approximately 166.67 pounds
1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .
3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take
please help.
Answer:
1. The journey will use 15.52 liters of petrol.
2. The approximate cost of petrol to hotel will be 2155.73 pence
3. The whole journey will take 3.36 hours
Step-by-step explanation:
Given that:
Distance of hotel from house = 163 miles
Distance covered by per liter = 10.5 miles
1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
Petrol used for total distance = [tex]\frac{Total\ distance}{Distance\ per\ liter}[/tex]
Petrol used for total distance = [tex]\frac{163}{10.5}=15.52\ liters[/tex]
The journey will use 15.52 liters of petrol.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .
Cost of per liter petrol = 138.9 pence
Cost for petrol to hotel = Petrol used for journey * Price per liter
Cost of petrol = 138.9 * 15.52 = 2155.73 pence
The approximate cost of petrol to hotel will be 2155.73 pence
3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take.
Distance covered per hour = 50 miles
Time taken in whole journey = [tex]\frac{total\ distance}{distance\ per\ hour}[/tex]
Time taken in whole journey = [tex]\frac{168}{50}[/tex]
Time taken in whole journey = 3.36 hours
The whole journey will take 3.36 hours
Hence,
1. The journey will use 15.52 liters of petrol.
2. The approximate cost of petrol to hotel will be 2155.73 pence
3. The whole journey will take 3.36 hours
what is equivalent to 1/2 (2x + 7)
The inter quartile range of a distribution is 7. If the 25th percentile is 16. Find the upper quartile
Given:
Inter quartile range(IQR) of a distribution = 7
25th percentile = 16
To find:
The upper quartile.
Solution:
We have,
IQR = 7
25th percentile = lower quartile = 16
We know that,
IQR = Upper quartile - Lower quartile
Let the upper quartile be [tex]Q_3[/tex].
Using the above formula, we get
[tex]7=Q_3-16[/tex]
Adding 16 on both sides, we get
[tex]7+16=Q_3-16+16[/tex]
[tex]23=Q_3[/tex]
Therefore, the upper quartile of the distribution is 23.
Find percentage of .20
Answer: The percentage of 0.20 is 20%.
Step-by-step explanation: 0.20 represents the 20% of 100%.
Answer: 20%
Step-by-step explanation: You just move the dot 2 times to the right and it will be 20%
Please help me ASP
Give me a Fraction Mixed number word problem
WORD PROBLEM:
Flock of birds flew for 2 3/4 hours. The next day , they flew for 3 4/5 hours. How many hours did the birds fly in total?PROBLEM:2 3/4 + 3 4/56) Calculate the slope of a line containing the points (-3,5) and (-7,11).
slopev=
[tex]diffrence \: in \: y \: coordinate \\ diffrence \: in \: x \: coordinate[/tex]
so
Y=11_5 =6
X = -7_(-3) = -4.
slope = (-4,6)
make as brainlist
5) A student answered 81 problems on a test correctly and received a grade 90%.
How many problems were on the test, if all the problems were worth the same
number of points?
Answer:
90
Step-by-step explanation:
81/x=90/100
8100=90x
90=x
The total number of problems given in exam was 90.
PercentageWhat is percentage?Percentage, which is a relative figure used to denote hundredths of any quantity. One percent (symbolised as 1%) is equal to 100 parts; hence, 100 percent denotes the complete amount, and 200 percent designates double the amount specified.
How to calculate percentage?Divide one number by the other, then multiply the result by 100 to get the percentage of the two numbers.
Calculation for the total number of question given:A student correctly answered 81 problems.
Grade received by student is 90%
Let the total number of question given in the test be 'x'.
Thus,
90% of x = 81
(90/100)x = 81
x = (81×100)/90
x = 90
Therefore, the total number of question allotted to the student is 90.
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3.3^(2x+1)-103^x+1=0 need value of x
Answer:
The value of [tex]x[/tex] is approximately -1.531.
Step-by-step explanation:
Let [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex], we proceed to solve this expression by algebraic means:
1) [tex]3.3^{2\cdot x + 1}-103^{x+1} = 0[/tex] Given
2) [tex]3.3^{2\cdot x}\cdot 3.3 -103^{x}\cdot 103 = 0[/tex] [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
3) [tex](3.3^{x})^{2}\cdot 3.3 -\left[\left( \sqrt{103} \right)^{2}\right]^{x}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]
4) [tex](3.3^{x})^{2}\cdot 3.3 - \left[\left(\sqrt{103}\right)^{x}\right]^{2}\cdot 103 = 0[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/Commutative property
5) [tex]\left[\left(\frac{3.3}{\sqrt{103}}\right)^{x}\right] ^{2}-\frac{103}{3.3} = 0[/tex] Existence of multiplicative inverse/Definition of division/Modulative property/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]
6) [tex]\left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\frac{103}{3.3}[/tex] Existence of additive inverse/Modulative property/[tex](a^{b})^{c} = a^{b\cdot c}[/tex]
7) [tex]\log \left(\frac{3.3}{\sqrt{103}} \right)^{2\cdot x}=\log \frac{103}{3.3}[/tex] Definition of logarithm.
8) [tex]2\cdot x\cdot \log \left(\frac{3.3}{\sqrt{103}} \right)= \log \frac{103}{3.3}[/tex] [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]
9) [tex]2\cdot x \cdot [\log 3.3-\log \sqrt{103}] = \log 103 - \log 3.3[/tex] [tex]\log_{b} \frac{a}{d}[/tex]
10) [tex]x\cdot (2\cdot \log 3.3-\log 103) = \log 103 - \log 3.3[/tex] [tex]\log_{b} a^{c} = c\cdot \log_{b} a[/tex]/Associative property
11) [tex]x = \frac{\log 103-\log 3.3}{2\cdot \log 3.3-\log 103}[/tex] Existence of multiplicative inverse/Definition of division/Modulative property
12) [tex]x \approx -1.531[/tex] Result
The value of [tex]x[/tex] is approximately -1.531.
What is the area of the triangle? Make me brainlest pleas
Answer:
i looked it up
Step-by-step explanation:
Solve The Equation !
‐5x – 3 < 2x – 18
Answer:
x>15/7
Step-by-step explanation:
BRAINLIST HELP TIMED
Answer:
its the second one
Step-by-step explanation:
u just mulitply the terms together and add the exponents
Asap, show the shaded area of the graf of lines 7x+10y=70, x-2y=0, 2x+y=0...
Answer:
The answer is i have no clue
Find the value of x
a)105°
b)85
c)75
d)25
Answer:
c) 75
Step-by-step explanation:
180-155 = 25
80+25+x=180
x = 75
Step-by-step explanation:
By Exterior Angle Theorem,
x = 155° - 80° = 75° (C).