Two events are occurring:
1) Rolling a die
Sample Space = {1,2,3,4,5,6}
Total number of outcomes in sample space = 6
Favorable outcomes = Odd number
Number of Favorable outcomes = 3
Probability of getting an odd number = 3/6
2) Tossing a coin
Sample Space = {H, T}
Probability of getting a head= 1/2
The probability of getting odd number and head will be the product of two probabilities, which will be = 3/6 x 1/2 = 3/12
Thus there is 3/12 = 1/4 (0.25 or 25%) probability of getting an odd number and a head in given scenario.
So correct answer is option C
Oh Foxy, Foxy, how totally debilitated you must be ! Try to relax. Nobody
enjoys a painful brain, and believe me, this problem is not worth it.
Let me put it to you this way: What if the problem said . . .
-- Demarcus has $8 more than his sister.
-- His sister has $4.
-- How much money ' M ' does Demarcus have ?
If your brain didn't hurt, you could quickly solve this right in there.
You would know that Demarcus' money ' M ' = 8 + 4 .
That's <em>almost </em>exactly what the problem <em>does</em> say.
Except it doesn't say he has "$8 more than his sister",
it says he has "at least" that much.
So you know that ' M ' is not exactly = 8 + 4, but that's the <u>least</u> it could be.
The actual amount of ' M ' is <u>more</u> than that.
Surely you can handle it from here, even with half of your brain
tied behind your back.
Take a good hard look at ' A ', and then go lie down.
Answer:
1. -3 on both side and m=4
2. +2 on both side and k=10
3. divide 3 on both side and n=6
Answer:
B
Step-by-step explanation:
To be a function every input must have exactly one output. There are two input values with 2, therefore this makes it not a function.
Answer:
y= 5x+13
Step-by-step explanation:
<u>Slope- intercept form</u>
y= mx +b, where m is the gradient and b is the y-intercept.
Parallel lines have the same gradient.
y= 5x +4
Gradient of given line= 5
Thus, gradient of line= 5
Subst. m=5 into the equation.
y= 5x +b
To find the value of b, substitute a coordinate
When x= -2, y=3,
3= 5(-2) +b
3= -10 +b
b= 3 +10 <em>(</em><em>+</em><em>1</em><em>0</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
b= 13
Thus, the equation of the line is y= 5x +13.
