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SCORPION-xisa [38]
3 years ago
11

An academic department with five faculty members narrowed its choice for department head to either candidate a or candidate

Mathematics
1 answer:
Fantom [35]3 years ago
7 0
The probability that the first two votes drawn are both for candidate a is given by:
3C2/5C2 = 3/10
Having drawn two votes for candidate a on the first two draws, there are 2 votes for candidate b and one vote for candidate a remaining. The probability that a vote for candidate b will be drawn on the third draw is:
2/3.
After the first three draws, there reains one vote for candidate a and one vote for candidate b. The probability that a vote for candidate a will be drawn on the fourth draw is:
1/2.
The probability of the ordering aabab is therefore given by:
\frac{3}{10}\times\frac{2}{3}\times\frac{1}{2}=\frac{6}{60}
The answer is: 0.1.
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Determine if the two triangles are congruent. If they are, state how you know. SAS , ASA, AAS, SSS or HL
Mandarinka [93]

Step-by-step explanation:

1. SAS

2. SSS

3. RHS

4. SAS

5. RHS

6. SAS

7. ASA

8. SAS

9. ASA

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5 0
3 years ago
What's substitution for y=4x-1;y=2x-5
Makovka662 [10]
<span><span>y=<span><span>4x</span>−1</span></span>;<span>y=<span><span>2x</span>−5
</span></span></span><span>Step: Solve <span>y=<span><span>4x</span>−1 </span></span>for y:
</span><span>Step: Substitute <span><span>4x</span>−1 </span>for y in <span><span>y=<span><span>2x</span>−5</span></span>:
</span></span><span>y=<span><span>2x</span>−5
</span></span><span><span><span>4x</span>−1</span>=<span><span>2x</span>−5
</span></span><span><span><span><span><span>4x</span>−1</span>+<span>−<span>2x</span></span></span>=<span><span><span>2x</span>−5</span>+<span>−<span>2x</span></span></span></span>(Add -2x to both sides)
</span><span><span><span>2x</span>−1</span>=<span>−5
</span></span><span><span><span><span><span>2x</span>−1</span>+1</span>=<span><span>−5</span>+1</span></span>(Add 1 to both sides)
</span><span><span>2x</span>=<span>−4
</span></span><span><span><span><span>2x/</span>2</span>=<span><span>−4/</span>2</span></span>(Divide both sides by 2)
</span><span>x=<span>−2
</span></span><span>Step: Substitute<span>−2 </span>for x in <span><span>y=<span><span>4x</span>−1</span></span>:
</span></span><span>y=<span><span>4x</span>−1
</span></span><span>y=<span><span><span>(4)</span><span>(<span>−2</span>)</span></span>−1
</span></span><span><span>y=<span>−9</span></span>(Simplify both sides of the equation)
</span><u>Answer:</u><span><span>y=<span>−<span><span>9<span> and </span></span>x</span></span></span>=<span>−<span>2</span></span></span>
3 0
3 years ago
G(n)=n^3+n<br> g(-3)<br> help!
Svetradugi [14.3K]
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MariettaO [177]

Answer:

65/80 score

Step-by-step explanation:

3 0
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