Answer:
a.
b.
c.
d.
They are not, the intersection is not 0.
Step-by-step explanation:
a.
The probability that the shopper has neither type of card is the probability of the complement of the union, therefore it would be
b.
That's probability of the intersection of the events. For that we use the following formula
Therefore
c.
That's the probability of A intersection the complement of B.
For that, first of all remember that
Therefore
Therefore
d.
They are not, the intersection is not 0.
Answer:
(x - 3)^2 + (x + 2)^2 = 4
Step-by-step explanation:
Equation of circle:
(x - h)^2 + (x - k)^2 = r^2
(h, k) = (3, -2)
r = 2
(x - 3)^2 + (x - (-2))^2 = 2^2
(x - 3)^2 + (x + 2)^2 = 4
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
Point M(-2, 1)
Point K(2, -4)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
- [Distance] [√Radical] (Parenthesis) Add/Subtract:
- [Distance] [√Radical] Evaluate exponents:
- [Distance] [√Radical] Add:
Answer:
1. 23/4 , 2. 5.555... , 3. 5 1/2 , 4. √28
you want to make them all into decimals so you can compare then easier
23/4 would be 5.75
√28 (just put it in a calculator) would be 5.29
5 1/2 would be 5.5 (make it into a improper fraction 11/2 then do 11/2 and you get 5.5)
and you have 5.555.
so...
5.75
5.29
5.5
5.55555
first is 5.75 it's bigger because of the .(75)
then 5.555 because it's .(55)
then 5.5 because it's .(50)
and the last one 5.(29)
Answer:
Step-by-step explanation:
you first add up the marbles together. 3 + 4 + 3 +.5 = 15. Then you take the amount of green marbles their are, and make a fraction: 3/15. Then you remove one without putting it back, which is green, so you have 1 less total and one less green marbles, and you turn that into a fraction: 2/14.
First Pick: 3/15 chance of getting green
Second Pick: 2/14 chance of getting green
Then. You divide the first number by the second one.
3 / 15 = 0.2
2 / 14 = 0.142
Then to turn into percentage you move the decimal over two spots and drop the 0 and add a percentage sign:
20%
14.2% (Round Up Percentage) 15%
Which means that:
20% Probabiltiy for first pick
15% Probability for second pick
____________________________________________________________ I hope this helps. If it is incorrect, comment that, and I will see what U messed up. I hope I helped. :D