Answer:
The probability that next selection is yellow marble = 63%
.
Step-by-step explanation:
Given the selection of yellow marbles = 41 times.
The selection of white marble = 24 times.
Total number of selections made = 65
Now calculate the probability that the next selection will be the yellow marble. Therefore, the probability of getting yellow marble can be determined by dividing the yellow selection by total number of selections.
Equation:
0.06(8000)+8000
We can make it simpler:
1.06(8000)
Multiply:
8480
MARCUS WILL HAVE $8480
One angle of a triangle is 115 degrees.
The sum of the remaining angles is therefore 180-115=65°
If they are in a ratio of 2:11, then the smaller angle is 65*(2/(2+11))=10°
the larger angle is 65*(11/(2+11))=55°.
Check: 10+55=65°=180-115° ok.
Answer: the measures of the remaining angles are 10 and 55°
3D8 is divisible by 9 ⇒ sum 3+D+8 is divisible by 9
⇒ 11+D=18, D=18-11, D=7
⇒ 3D8= 378
abc - 378 = 269
abc= 269+378
abc= 647
Answer:
Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.
Step-by-step explanation:
Since Alex found a new fruit punch recipe that calls for cranberry juice and lemon-lime soda, if cranberry juice costs $ 3.60 per bottle and lemon-lime soda costs $ 1.40 per bottle and the recipe calls for 2 times as many bottles of lemon-lime soda as cranberry juice, to determine at most how many bottles of cranberry juice can he buy if he only has $ 38.40 the following calculation must be performed:
20 x 1.40 + 10 x 3.60 = 64
10 x 1.40 + 5 x 3.60 = 32
12 x 1.40 + 6 x 3.60 = 38.40
Therefore, Alex can buy 12 bottles of lemon-lime soda and 6 bottles of cranberry juice.
