Answer:
probability that he or she will answer at least 4 problems correctly = 0.5
Step-by-step explanation:
probability that he or she will answer at least 4 problems correctly is given as;
P (at least 4 correctly) = P (exactly 4 correctly) + P (all 5 correctly)
Since there are 10 problems. 4 is from the 7 problems chosen and 1 is from the 3 problems we can't figure out. Thus, P(exactly 4 correctly) = 7C4 x 3C1
Thus, P (at least 4 correctly) = [ (7C4) x (3C1) ] / (10C5)] + [(7C5)/(10C5)]
= [(35 x3)/252 ] + [21/252]
= [ 105/252 ] + [ 21/252 ]
= 126 / 252
= 0.5
Let's simplify step-by-step.<span><span><span><span>52x</span>+<span><span>43<span>y92</span></span>x</span></span>+<span><span>3<span>y15</span></span>y</span></span>+<span><span><span><span><span><span><span><span><span>8<span>x6</span></span>x</span><span>y23</span></span>x</span><span>y6</span></span>x</span><span>y32</span></span>x</span>y
</span></span><span>=<span><span><span><span>52x</span>+<span><span>43x</span><span>y92</span></span></span>+<span>3<span>y16</span></span></span>+<span><span>8<span>x10</span></span><span>y62
</span></span></span></span>Answer:<span>=<span><span><span><span><span>43x</span><span>y92</span></span>+<span><span>8<span>x10</span></span><span>y62</span></span></span>+<span>3<span>y16</span></span></span>+<span>52<span>x</span></span></span></span>
Answer:216
Step-by-step explanation:The formula to find the area of a triangle is Length times Base divided by 2. The length of the triangle could be 18 or 24, but that doesn’t matter. The base could also be 18 or 24, but that also doesn’t matter, because the hypotenuse (the longest part of a right triangle, in this case being 30), is not a part of the formula. 18 times 24 is 432, and 432 divided by 2 is 216. So the area is 216
Answer:
x = 2/3 or x = -1
Step-by-step explanation by completing the square:
Solve for x:
3 x^2 + x - 2 = 0
Divide both sides by 3:
x^2 + x/3 - 2/3 = 0
Add 2/3 to both sides:
x^2 + x/3 = 2/3
Add 1/36 to both sides:
x^2 + x/3 + 1/36 = 25/36
Write the left hand side as a square:
(x + 1/6)^2 = 25/36
Take the square root of both sides:
x + 1/6 = 5/6 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
x = 2/3 or x + 1/6 = -5/6
Subtract 1/6 from both sides:
Answer: x = 2/3 or x = -1
The lowest terms for 19/31 would be 1
