Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

given 3p(2)=6, what p is equal to? select one: a. 9 b. 6 c. 2 d. 4 a ja…

Question

given 3p(2)=6, what p is equal to?
select one:
a. 9
b. 6
c. 2
d. 4

a jar of marbles contains 4 red, 7 green, and 5 blue. what is the probability of getting two blues in a row without replacement?
select one:
a. 0.107
b. 0.0722
c. 0.0777
d. 0.104

Explanation:

Step1: Solve for x in first equation

Given $3(x+2)=6$, divide both sides by 3:
$\frac{3(x+2)}{3}=\frac{6}{3}$
$x+2=2$
Subtract 2 from both sides:
$x=2-2=0$

Step2: Calculate total marbles for probability

Total marbles = $4+7+5=16$

Step3: Find probability of two blues

Probability first blue: $\frac{5}{16}$
Probability second blue (no replacement): $\frac{4}{15}$
Combine probabilities:
$\frac{5}{16} \times \frac{4}{15} = \frac{20}{240} = \frac{1}{12} \approx 0.083$

Answer:

  1. b. 0
  2. (Note: Assuming a typo in options; the correct calculated value is $\frac{1}{12} \approx 0.083$. If forced to match closest, no option aligns perfectly, but the exact answer is $\frac{1}{12}$)