Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
Answer:
See below.
Step-by-step explanation:
So we started off with the equation:
And we subtracted x from both sides to acquire:
Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:
Where m is the slope and b is the y-intercept.
If we rearrange our equation:
And put some parentheses:
We can see that this is indeed slope-intercept form.
And we can see that m is -1 and b is 2.
In other words, the slope is -1 and the y-intercept is 2.
5(4)+5x=60
x=8
x= number of pies the club made
Answer:
d=0.031746
Step-by-step explanation:
1. Add 4d to both sides: 3.2=2.3d+3+4d
2. Simplify 2.3d +3+ 4d to 6.3d+3: 3.2=6.3d+3
3. Subtract 3 from both sides: 3.2-3=6.3d
4. Simplify 3.2-3 to 0.2: 0.2-6.3d
5. Divide both sides by 6.3: 0.2/6.3=d
6. Simplify 0.2/6.3 to 0.031746: 0.031746=d
7. Switch sides: d=0.031746
Hope this helped!
