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Margarita [4]
3 years ago
12

Suppose you take an 80 question mc test with 5 choices if 60% is passing, what are your chances of passing

Mathematics
1 answer:
Goshia [24]3 years ago
3 0
What is the subject?
;)
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X-3=-6
if you take away 3 from a number, you will get -6
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Determine whether the set is well defined. The set of people who wear expensive perfume.
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oksian1 [2.3K]

Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

  • a² - 2a - 0² = 0
  • a² - a = 0
  • a( a -1) =0
  • a = 0 , 1

<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
  • a = -1 , b = ±√3
8 0
2 years ago
I dont really know how to do soh cah toah. please help me find x.
Ipatiy [6.2K]
First notice that the triangle with sides x,y,a and the triangle with sides z,a+b,x are similar. This is true because the angle between sides x,y in the smaller triangle is clearly 30^\circ, while the angle between sides y,z in the larger triangle is clearly 60^\circ. So the triangles are similar with sides x,y,a corresponding to a+b,z,x, respectively.

Now both triangles are 30^\circ-60^\circ-90^\circ, which means there's a convenient ratio between its sides. If the length of the shortest leg is \ell_1, then the length of the longer leg is \ell_2=\sqrt3\ell_1 and the hypotenuse has length \ell_3=\sqrt{{\ell_1}^2+{\ell_2}^2}=2\ell_1.

Since x is the shortest leg in the larger triangle, it follows that a+b=2x, so a+b=15=2x\implies x=\dfrac{15}2
4 0
3 years ago
Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both exe
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The event that either M1 or M2 fails has probability

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by the addition rule. Failure events are independent, so

P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})

so that

P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2

Denote this probability by p. Then X follows a geometric distribution with this parameter p and has density

P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}

The expectation is \dfrac1p=\dfrac1{p_1+p_2-p_1p_2}.

7 0
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