Answer:
The value of P (A ∩ B) is 0.25.
Step-by-step explanation:
Independent events are those events that do not effect the occurrence of each other, i.e. if event <em>X </em>and <em>Y</em> are independent then the occurrence of <em>X</em> and <em>Y </em>are not influenced by each other.
For independent events <em>X</em> and <em>Y</em> the joint probability of <em>X</em> and <em>Y</em> is:
It is provided that events <em>A</em> and <em>B </em>are independent of each other.
And P (A) = P (B) = 0.50.
Compute the value of P (A ∩ B) as follows:
Thus, the value of P (A ∩ B) is 0.25.
Let x be the first odd integer.
x + 2 the second
x + 4 the third
x + 6 the fourth
x + 8 the fifth.
add them up and you get 5x + 20
set 5x + 20 = 145 and solve for x.
5x=145-20
5x=125
x=25
answer=25,27,29,31,33
Answer:
1. y = 5x + 20
2. $20 the amount you saved mowing your aunt's lawn.
3. 21 weeks
Step-by-step explanation:
1. 5 is the slope because it is the rate. 20 is the y-intercept because that is how much you already have.
2. 20 because that is how much you already have.
3. Since you already have $20, you need to subtract 125 by 20 to get 105. Then you divide 105 by 5 to get 21 weeks.
If you triple the height of a barrel the dimensions will triple i belive.
Let's simplify step-by-step.<span><span><span>9<span>(<span><span>2x</span>−1</span>)</span></span>−<span>9x</span></span>−<span>18
</span></span>Distribute:<span>=<span><span><span><span><span><span><span>(9)</span><span>(<span>2x</span>)</span></span>+<span><span>(9)</span><span>(<span>−1</span>)</span></span></span>+</span>−<span>9x</span></span>+</span>−18</span></span><span>=<span><span><span><span><span><span><span>18x</span>+</span>−9</span>+</span>−<span>9x</span></span>+</span>−<span>18
</span></span></span>Combine Like Terms:<span>=<span><span><span><span>18x</span>+<span>−9</span></span>+<span>−<span>9x</span></span></span>+<span>−18</span></span></span><span>=<span><span>(<span><span>18x</span>+<span>−<span>9x</span></span></span>)</span>+<span>(<span><span>−9</span>+<span>−18</span></span>)</span></span></span><span>=<span><span>9x</span>+<span>−<span>27
</span></span></span></span>Answer:<span>=<span><span>9x</span>−<span>27</span></span></span>
