Answer:
P ( blue ) = 1/4
P ( white ) = 5/12
P ( red ) = 1/3
P ( not red ) = 2/3
Step-by-step explanation:
To find the probability of a marble being chosen, it is the number of that color over the total
We need to find the total number of marbles
4 red+ 5 white+3 blue = 12 marbles
P ( blue ) = 3 blue / 12 total = 3/12 = 1/4
P ( white ) = 5 white / 12 total = 5/12
P ( red ) = 4 red/ 12 total = 4/12 = 1/3
How man marbles are not red
total marbles - red marbles = 12-4 = 8
8 marbles are not red
P ( not red ) = 8 not red / 12 total = 8/12 = 2/3
Y2 - y1 over x2 - x1 = slope
2 - (-1) = 3
-1 - 2 = -3
the slope is 3/-3, or -1
y = -x
2 = 1 + 1
The equation of the line is y = -x + 1
Answer:
<u>(-7,-3)</u>
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
<em>I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!</em>
The company's sales increase by $940
(0.94×1000)
Answer: The probability that she gets a ride 3 times in a 5-day work week is <u>0.31</u>.
The probability that she gets a ride at least 2 times in a 5-day workweek is <u>0.97</u>.
Step-by-step explanation:
By binomial distribution formula:
![P[X=r]=^nC_rp^rq^{n-r}](https://tex.z-dn.net/?f=P%5BX%3Dr%5D%3D%5EnC_rp%5Erq%5E%7Bn-r%7D)
, where n is the number of trials , r is the number of success, p is the probability of success and q is the probability of failure.
Given : n=5
p = 0.7
q= 1-0.7=0.3
Now, the probability that she gets a ride 3 times in a 5-day work week :
![P[X=3]=^5C_3(0.7)^3(0.3)^{5-3}\\\\=10(0.7)^3(0.3)^2=0.3087\approx0.31](https://tex.z-dn.net/?f=P%5BX%3D3%5D%3D%5E5C_3%280.7%29%5E3%280.3%29%5E%7B5-3%7D%5C%5C%5C%5C%3D10%280.7%29%5E3%280.3%29%5E2%3D0.3087%5Capprox0.31)
The probability that she gets a ride at least 2 times in a 5-day workweek :
![P[X\geq2]=1-P[X](https://tex.z-dn.net/?f=P%5BX%5Cgeq2%5D%3D1-P%5BX%3C2%5D%5C%5C%5C%5C%3D1-%28P%5BX%3D1%5D%2BP%5BX%3D0%5D%29%5C%5C%5C%5C%3D1-%28%5E5C_0%280.7%29%5E0%280.3%29%5E%7B5%7D%2B%5E5C_1%280.7%29%5E1%280.3%29%5E%7B5-1%7D%29%5C%5C%5C%5C%3D1-%5B%280.3%29%5E5%2B5%280.7%29%280.3%29%5E4%5D%5C%5C%5C%5C%3D1-0.03078%3D0.96922%5Capprox0.97)
