Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
Answer:
They live 285 miles apart
Step-by-step explanation:
Let the total distance be x miles
Sean is driving to visit his friend in another state. In the first hour he travels 1/5 of the total distance. This means that he drove x/5 in the first hour. In the second hour he travels 34 miles. That means
Total distance driven in the first and second hour is
(x/5 + 34)miles
He still has 194 miles more to go.
Therefore,
The total distance is the sum of the distance travelled in the first and second hour + the remaining distance.
x = x/5 + 34 + 194
x = x/5 + 228
Cross multiplying
5x = x + 1140
4x = 1140
x = 1140/4 = 285 miles
Answer:
3/23 miles per hour
Step-by-step explanation:
2 /23 mile
-----------------
2/3 hour
2/ 23 ÷ 2/3
Copy dot flip
2 /23 * 3/2
Rewriting
2/2 * 3/23
3/23 miles per hour
<u>Answer-</u>
<em>The probability of winning on the first roll is </em><em>0.22</em>
<u>Solution-</u>
As in the game of casino, two dice are rolled simultaneously.
So the sample space would be,

Let E be the event such that the sum of two numbers are 7, so
E = {(1,6), (2,5), (3,4), (4,3), (5,2), (6,1)}


Let F be the event such that the sum of two numbers are 11, so
F = {(6,5), (5,6)}


Now,

Look up the formula to find the area of a trapezoid. Then do the math HINT: The formula is
A= a+b/2 h