Answer:
The probability of picking two consecutive purple marbles without replacement is 14.72%.
Step-by-step explanation:
Initially, there are 4+6+2+8 = 20 total marbles.
The probability of picking a purble marble is
P_{1} = \frac{number of purple marbles}{number of total marbles}
P_{1}= \frac{8}{20} = 0.4
Since there are no replacements, there are now 19 total marbles, 7 of which are purple. So, the probability of picking another purple marble is
P_{2} = \frac{7}{19} = 0.368
The probability P of picking a purble marble(P_{1}), not replacing it, and then picking another purple marble(P_{2}) is:
P = P_{1}*P_{2} = 0.4*0.368 = 0.1472 = 14.72%
Answer:
y = -1/2x - 3
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Determine known variables
Slope = -1/2 (m = -1/2)
y-intercept - (0, -3), so b = -3
Step 2: Write in known variables
y = -1/2x - 3
Hi.
So to find the answer, first you have to find 25% of $200. 25/100= 0.25. So 0.25 x 200 = 50.
Now that we found 25% of $200, you have to subtract that from $200. So 200 - 50 = 150.
The answer is $150.
Have a good day!
Answer:
Option D.
Step-by-step explanation:
It is given that triangle ABC reflected in the y axes so that the image of triangle ABC is triangle A'B'C'.
Let A(a,b) and B(c,d). So, after reflection A'(-a,b) and B'(-c,d).
Using distance formula,
So,
We know that reflection is rigid transformation, it means figure and its image must be congruent.
If triangle ABC is read clockwise, then after reflection triangle A'B"C' is read anticlockwise.
Since statements I, II and IV are true, therefore the correct option is D.