Pq + pr = 80 => p (q+r) = 80
pq + qr = 425 => q (p+r ) = 425

Factorize 80 with having one factor as prime number
80 = 2 * 40 = 5 *16

Factrorize 425 with having one factor as prime number
425 = 5 * 85 = 17 * 25...

Therfore, p has to be 2.
q = 17 and r= 23...
p + q +r = 2 + 17+ 23 = 42

3 0

3 years ago

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Our school's girls volleyball team has 14 players, including a set of 3 triplets: Missy, Lauren, and Liz. In how many ways can w

Sonja [21]

A - not all 3 triplets can be in the starting lineup

A' - all 3 triplets can be in the starting lineup

$\displaystyle |\Omega|=\binom{14}{6}=\dfrac{14!}{6!8!}=\dfrac{9\cdot10\cdot11\cdot12\cdot13 \cdot14}{2\cdot3\cdot4\cdot5\cdot6}=3003\\ |A'|=\binom{11}{3}=\dfrac{11!}{3!8!}=\dfrac{9\cdot10\cdot11}{2\cdot3}=165\\ |A|=3003-165=2838\\\\ P(A)=\dfrac{2838}{3003}=\dfrac{86}{91}\approx95\%$

3 0

3 years ago

What is the equation of a line perpendicular to y=-8 through the point (-2,1)

Semenov [28]

Answer:

y=1/8x+1.25

Step-by-step explanation:

Since it's perpendicular change the slope to the opposite

You have the slope so plug it into the equation y-y1=m(x-x1)

y-(1)=(1/8)(x--2)

6 0

3 years ago