Slope = (-3+4)/(0+5) = 1/5

passing (-2,2)
y = mx +b
2 = 1/5(-2) + b
2 = -2/5 + b
so b = 2 +2/5 = 12/5

equation
y = 1/5x + 12/5
answer is B y = 1/5x + 12/5

3 0

2 years ago

Suppose you have 60 red marbles and 40 blue marbles in a

andrew-mc [135]

Answer: The required probability is 0.26.

Step-by-step explanation: Given that there are 60 red marbles and 40 blue marbles in a box 10 marbles are picked without replacement.

We are to find the probability of selecting 6 red marbles.

Since the marbles are picked up without replacement, so it is a situation of combination.

Let S denote the sample space of the experiment of drawing 10 marbles and E denote the event that 6 marbles are red.

So,

$n(S)=^{100}C_{10}=\dfrac{100!}{10!(100-10)!}=\dfrac{100!}{10!90!}=17310309456440,\\\\\\n(E)=^{60}C_6\times^{40}C_4=\dfrac{60!}{6!54!}\times\dfrac{40!}{4!36!}=50063860\times91390.$

Therefore, the probability of event E is given by

$P(E)=\dfrac{n(E)}{n(S)}=\dfrac{50063860\times91390}{17310309456440}=0.26.$

Thus, the required probability is 0.26.

6 0

2 years ago

If f(x) = 3 x-2 what is f(5.9)

Korvikt [17]

$3(5.9) = 17.7 \: \: \: \: 17.7 - 2 = 15.7$

3 0

2 years ago

Read 2 more answers