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Marth
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So... what were the correct answers?
6 topping choices, 2 toppings per pizza: 6 choose 2, which is 6!/(2!4!)
4×512MB = 2GB = 2^31 bytes. To address any byte requires 31 bits.
It depends on the distribution of x bar.
"Red OR Yellow" should be a giveaway. Here P(A and B)=0 because a red car is not yellow. P(A)+P(B)=0.12+0.04 = 0.16
There are 2 digits (8,9) greater than 7. So every student has a 1/5 chance of choosing a digit greater than 7. With 25 students, the expected number that choose a digit greater than 7 is 25/5 = 5. I would not say the "predicted" number, but rather the
b) He can throw 5 types of pitches each pitch. With 5 pitches, there are 5^5 possible combinations.
File sizes are given in bytes, while download speeds are given in bits. 4 GB = 4*1024 MB = 4*1024^2 KB = 4*1024^3 Bytes - 4*1024^3*8 bits. 43.2kbps = 43.2*1000 bits per second. The time required is 795.364s, or 220.935 hours. Note that 43.2kbps is quite a
When the world record is less than 3.1, R is less than 3.1. 3.1 = -0.075t + 3.85 Solve for t (in years after 1930).
The fence forms the perimeter of the rectangle. What is the perimeter?
Is the domain of g equal to A? Is the range of g a subset of B? if both are true, then g maps A to B.
What is the length of ? Divide by its length, giving the result a length of 1 - an unit vector.
How many inches are in a foot?
What is the equation for the volume of a sphere? Try googling it.
How could you get only x on the left hand side?
It doesn't. 100 is not divisible by 6, nor is 83 divisible by 5.
13 is a good guess. But when in 2011 do they actually turn 13?
Use Pythagorean Theorem. a^2 + b^2 = c^2, where c is the hypotenuse of the right triangle.
Find the slope and y intercept of each, and compare. m = (y1-y2)/(x1-x2) to find the slope. y - y1 = m(x-x1) to write the line in slope-intercept form.
You can factor out a 4a from each term.
No two numbers add to 50. Therefore we must use at least 3 numbers to get the sum. 25+19+6 = 50: a solution exists for 3 numbers.
Substitute in the values of p and r. p = 10 r = -4 p^2 - r^2 = (10)^2 - (-4)^2 = ?
(1/8)-(1/8)2+(1/8)3 = (1/8)(1-2+3) by factoring.
Correct
2 + 7/y = 3/5 7/y = 3/5 - 2 y/7 = 1/(3/5 - 2)
y - y1 = m(x - x1) The point (x1, y1) is given as (4, -5). The slope m is given as -3.
The probability that Jonas gets an orange is 5/11. Given that Jonas gets an orange, the probability that Beth gets an apple is 4/10. So the probability that Jonas gets an orange and Beth gets an apple is (5/11)*(4/10).
Let x and y be the sides. By Pythagorean Theorem, x^2 + y^2 = 600^2. x+y+600 = 1400
881/5 = 880/5 + 1/5
To find the inverse, swap f(x) and x: f(x) = 10x-5 x = 10f^-1(x)-5 Now solve for f^-1(x).
Elaine takes 2.8s more than Pamela: Elaine takes 2.8s + 52.3s =
x^2-6x-3=0 x = (-b +/- sqrt(b^2-4ac))/(2a) x = (6 +/- sqrt(6^2 - 4(1)(-3)) ) / (2(1))
Set up a proportion: 8%/56 = 100%/x
Plug the values in. h = 50m t = 2s v = 30m/s h+vt+4.9*t^2=?
V=d/t d=V*t Let t be the time the man is jogging. t-2 is the time the dog is running (since the dog waits 2s). When they catch up with each other displacement will be equal. (4m/s)(t-2)=(1.8m/s)(t)
The difference of two squares is a^2-b^2, for a and b any expression. It should be easy to determine if a polynomial fits that form.
There are several types of potential energy - spring potential energy, chemical potential energy, etc.
If the relationship is linear, then the line formed by any two points will pass through all points. Find the line through the first two points. Then check to see if the rest of the points are on that line.
There are two solutions because of the absolute value sign. x-3x+5 = 7 or x-3x+5 = -7
yes
Jeffs car takes 20% less gas, so it gets 21/(1-0.2) miles per gallon. To drive 570 miles at 21 miles per gallon requires 570/21 gallons.
You can factor out 4x from both terms.
Teaching makes you learn something well. You've had scientific notation in class, right? Pretend I don't know scientific notation, and explain to me what it is. (That will be your answer).
There are 15 choose 4 ways to choose 4 toppings. There are 15 choose 2 ways to choose salami, green pepper, and 2 other toppings. P{salami and green pepper) = C(15, 2) / C(15,4).
Use synthetic division with -3, then factor the remainder.
Let x be the amount of time of the breakeven point. Then 84+50x = 60x.
Try factoring out (2x-3) through grouping.
f(x) = 2x^2-3x f(0) = 2(0)^2-3(0) = 0 f(-1) = 2(-1)^2-3(-1) f(2)=?
The zeroes are 1, 2, and 3, so the factors are (x-1), (x-2), and (x-3). Those are 3 factors for a 3rd degree polynomial, so no other factors are needed. f(x) = C*(x-1)(x-2)(x-3), where C is any constant. f(0) = 18 allows you to determine C.
Let a be the value of "a", e be the value of "e", etc. for i, o, and u. Audacious has a u a i o u = 260. So 2a+i+o+2u = 260. Do the same for the other 4 words; you have 5 equations for 5 variables.