Answer:
x=-5
Step-by-step explanation:
4(x-5)+2=x+3 As the first step says, distribute the 4 (multiply all numbers in the parentheses by 4).
4x-20+2=x-3 Combine like terms. For example, the -20 and 2 are like terms because they are both their own numbers and not attached to a variable.
4x-18=x-3 Subtract x from each side. Now, we can get x to only one side.
<u>-x -x</u>
3x-18=-3 Add 18 to both sides.
<u>+18 +18</u>
3x=-15 Divide both sides by 3.
<u>/3 /3</u>
x=-5
I hope this helped you!! Have a great day c:
To answer your question: Rewrite <span>81<span>x2</span></span> as <span><span>(<span>9x</span>)</span>2</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−49</span></span>Rewrite 49 as <span>72</span>.<span><span><span>(<span>9x</span>)</span>2</span><span>−<span>72</span></span></span> Both terms are perfect squares, factor using the difference of squares formula, <span><span><span>a2</span><span>−<span>b2</span></span></span>=<span><span>(<span>a+b</span>)</span><span>(<span>a<span>−b</span></span>)</span></span></span> where <span>a=<span>9x</span></span> and <span>b=7</span>.<span><span>(<span><span>9x</span>+7</span>)</span><span>(<span><span>9x</span><span>−7</span></span><span>)</span></span></span>
Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
There would be 3 boxes of pink ribbon and 2 of yellow ones
