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Ulleksa [173]
3 years ago
6

Help.. solve for the given variable -5(r - 6) + 3(-8 + 8r) = -32

Mathematics
2 answers:
aev [14]3 years ago
6 0
Solve for r by simplifying both sides of the equation,then isolating the variable.
r = -2
12345 [234]3 years ago
5 0
-5(r - 6) + 3(-8 + 8r) = -32

STEP 1: Simplify both sides of the equation.
<span><span><span><span><span><span>(<span>−5</span>)</span><span>(r)</span></span>+<span><span>(<span>−5</span>)</span><span>(<span>−6</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−8</span>)</span></span></span>+<span><span>(3)</span><span>(<span>8r</span>)</span></span></span>=<span>−32 </span></span>(Distribute)
<span><span><span><span><span><span>−<span>5r</span></span>+30</span>+</span>−24</span>+<span>24r</span></span>=<span>−32</span></span><span><span><span>(<span><span>−<span>5r</span></span>+<span>24r</span></span>)</span>+<span>(<span>30+<span>−24</span></span>)</span></span>=<span>−32 </span></span>(Combine Like Terms)
<span><span><span>19r</span>+6</span>=<span>−32</span></span><span><span><span>19r</span>+6</span>=<span>−32
</span></span>
STEP 2: Subtract 6 from both sides.
<span><span><span><span>19r</span>+6</span>−6</span>=<span><span>−32</span>−6</span></span><span><span>19r</span>=<span>−<span>38

STEP 3: Divide both sides by 19.
19r/19 = -38/19
r = -2

FINAL ANSWER: r  = -2</span></span></span>
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A screening test wished to improve the diagnostic ability to identify Zika-infected fetuses in pregnancy rather than after birth
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Answer:

Sensitivity = 66.7%  (C)

specificity= 98.0%  (E)

positive predictive value = 80.0%  (F)

Negative predictive value = 96.0%  (D)

accuracy of the test  = 94.5%  (A)

Step-by-step explanation:

Given the data in the question;

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Test Positive                      24                                        6                        30

Test Negative                    12                                       288                     300

Total                                   36                                       294                    330

so A = 24, B = 6, C = 12 and D = 288

sensitivity = [A/(A+C)]×100 = [24/(24+12)]×100 = [24/36]×100

Sensitivity = 66.7%  (C)

specificity= [D/(D+B)]×100 = [288/(288+6)]×100 = [288/294]×100

specificity= 98.0%  (E)

positive predictive value = [A/(A+B)]×100 = [24/(24+6)]×100

= [24/30]×100

positive predictive value = 80.0%  (F)

Negative predictive value = [D/(D+C)]×100 = [288/(288+12)]×100

= [288/300]×100

Negative predictive value = 96.0%  (D)

accuracy of the test = [A+D/(A+B+C+D)]×100 = [24+288/(24+6+12+288)]×100

= [312/330]×100

accuracy of the test  = 94.5%  (A)

Nothing 33.3% (B)

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Answer.    y-1=2(x-1)
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