Answer:
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Step-by-step explanation:
Use nCr to figure this out, plug in the numbers and probabilities and solve
Answer:
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Answer:
infinitely many solutions
Step-by-step explanation:
x + 6y = -5
3x + 18y = -15
Multiply the first equation by 3
3(x + 6y) = -5*3
3x + 18y = -15
The two equations are identical. This means they have infinite solutions along the line x+6y = -5
Answer:
n = 1, 4
Step-by-step explanation:
Step 1: Write equation
n² - 5n + 4 = 0
Step 2: Solve for <em>n</em>
<u>Factor:</u> (n - 4)(n - 1) = 0
<u>Find roots:</u> n = 1, 4
Step 3: Check
<em>Plug in n to verify if it's a solution.</em>
1² - 5(1) + 4 = 0
1 - 5 + 4 = 0
-4 + 4 = 0
0 = 0
4² - 5(4) + 4 = 0
16 - 20 + 4 = 0
-4 + 4 = 0
0 = 0
Hi there! :)
<u>Answer:</u>
r ≤ 2.5
Step-by-step explanation:
<u>-2</u>(r - 3) + 7 ≥ 8
Distribute the "-2" to the entire parentheses → -2 × r = <u>-2r</u> & -2 × -3 = <u>6</u>
-2r <u>+ 6</u> <u>+ 7</u> ≥ 8
Add the similar terms together → 6 + 7 = <u>13</u>
-2r <u>+ 13</u> ≥ 8
Subtract "13" from each side of the inequality → 8 - 13 = <u>-5</u>
<u>-2</u>r ≥ -5
Divide each side of the inequality by "-2" → -5 ÷ -2 = <u>2.5</u>
<u>r ≤ 2.5</u> ⇒ Whenever you divide an inequality by a negative number, you must flip the inequality sign!!
There you go! I really hope this helped, if there's anything just let me know! :)
