a) since you have to choose three numbers and one superball to win the lottery, your chances will be:
chances of getting the 3 white numbers = 1/10 x 1/9 x 1/8 = 1/720
chance of getting the superball = 1/10
chances of winning the jackpot = 1/720 x 1/10 = 1/7,200
b) The probability is C(7,3)*3*C(11,2)/(10*1200) = 77/160.
The answer is 48*7^(1/3).
The sign painter earns a total of $424.
What is an equation of the line that passes through the points (-3, 3) (3,−7) Put your answer in fully reduced form.
Hello Guest!
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-3}{3-(-3)}\)
\(m=\frac{5}{3}\)
\(y=m(x-x_1)+y_1\)
\(y=\frac{5}{3}\cdot(x+3)+3\\ y=\frac{5}{3}x+5+3\)
\(y=\frac{5}{3}x+8\)
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Find b!
\(b^2=a^2+c^2-2ac\cdot cos 115^{\circ}\)
\(b^2=(28^2+18^2-2\cdot 28\cdot 18\cdot cos \ 115^{\circ})m^2\\ b^2=1534m^2\)
\(b=39.166m\)
Richard cuts a 4 1/2 x 7 1/2 ft x 11 1/4 ft rectangular prism into congruent cubes without any part of the prism leftover. If he makes the cubes as large as possible, how many will he produce?
\(2\ rectangular\ prism\ 4.5\times 4.5 \times 4.5\ will\ he\ produce.\)
Matt wants to make a 25% alcohol solution. He has already poured 1.5 qt. of pure water into a beaker. How many qt. of a 30% alcohol solution must he add to this to create the desired mixture?
\(x\cdot 30\%=(1.5qt.+x)\cdot 25\%\\ x\cdot 30\%=1.5qt.\cdot 25\%+x\cdot 25\%\\ 0.3x-0.25x=0.25\cdot 1.5qt.\\ 0.05x=0.375qt. \)
\(x=7.5qt.\)
\(7.5qt.\) of a 30% alcohol solution must he add to this to create the desired mixture.
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thanks, for number one if n is 0 then 12^0=1 and 1 does divde into 20! but is that realy the largest? (just asking)
1 - 20! mod 12^8 = 0
2 - product(1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300)=19683000000000000000000
19683000000000000000000 = 2^18 * 3^9 * 5^18
Sum = 2 + 3 + 5 = 10
3 - I could find only one value for n:
n = 250
4)In the figure below, the largest circle has a radius of six meters. Five congruent smaller circles are placed as shown and are lined up in east-to-west and north-to-south orientations. What is the radius in meters of one of the five smaller circles?
IMAGE: https://latex.artofproblemsolving.com/e/d/2/ed239c0851978d4e1f82ba24458bd2de9836d085.png
3x - 4 = 5x - 38
34 = 2x
x = 17
3(17) - 4 = 51 - 4
angle 3 = 47
180 - 47 = 133
thank you so much!
Look under your first post.
m = 15 and n =12 and n - m = - 3
sorry but it says that's incorrect.
f(10) = 17.
n - m = -5.
There's no question! Can you add them?
This is a AoPS Middle School Contest Math homework question! Instead of asking here, you can ask on the message board of your class for some help!
it's (x^2) * (y^3) =46656 sorry about that
The sum a + b + c + d + e is 144.
BD = 12.
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