The outcome A="At least one" means {1,2,3,4,5......n} where n is the maximum possible outcome.
The only other outcome (B) left (i.e. the complement of the above event "at least one") is (B)={0}.
Therefore, by Kolmogorov's second axiom, A and B are complements, and
P(A)+P(B)=1
therefore
P(A)=1-P(B), or in words,
Probability of outcomes of "at least one" is the complement of the outcome of "0" item.
Let's write an equation and solve for x
12 1/2 = 5x + 3 1/3
rewrite the mixed fractions as improper fractions and with denominator 6
75/6 = 5x + 20/6
subtract 20/6 from both sides
55/6 = 5x
divide both sides by 5 to isolate x
11/6 = x
That is 1 and 5/6 pounds per each of the friends
To check:
<span>12 1/2 =?= 5(1 5/6) + 3 1/3
12 1/2 =?= 55/6 + 3 1/3
12 1/2 =?= 25/2
12 1/2 = 12 1/2
Hope this helps</span>
9514 1404 393
Answer:
-0.16
Step-by-step explanation:
The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.
Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...
y = a(x +2)^2 +4
Using the point (3, 0), we have ...
0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y
-4 = 25a . . . . . . . . . . subtract 4; next, divide by 25
a = -4/25 = -0.16
Answer:
Step-by-step explanation:
Let the 3-digit number is <u>abc</u> = 100a + 10b + c.
<u>We have:</u>
- 100a + 10b + c - 100c - 10b - a = 297
- b = a - 6
- a = 2c - 2
<u>Simplify the first equation:</u>
- 99a - 99c = 297
- a - c = 3
- a = c + 3
<u>Solve for c by substitution:</u>
- 2c - 2 = c + 3
- 2c - c = 3 + 2
- c = 5
<u>Find a:</u>
<u>Find b:</u>
<u>The number is:</u>
“Four times the difference of a number and 7 is 32”
Translation-
4(x-7)=32
