Suppose you like to keep a jar of change on your desk currently at the jar contains the followingWhat is the probability that yo
u reach into the jar and grab a penny and then without replacement a dime? Express your answer as a fraction or decimal number rounded to four decimal places
1 answer:
Answer: 
The probability of a penny and then without replacement a dime = 7/376
Explanation:Given:
A jar contains:
6 Pennies, 7 Dimes, 16 Nickels, and 19 Quarters
To find:
the probability when you reach into the jar and grab a penny and then without replacement a dime
Total coins = 6 + 7 + 16 + 19
Total coins = 48
Probability of picking a penny = number of pennies/total coins
Probability of picking a penny = 6/48
Probability of picking a dime after a penny without replacement:
Since we are not replacing the first pick, the total coins will reduce by 1
Total coin for 2nd pick = 48 - 1 = 47
Pr(dime after a penny without replacement) = number of dime/total coin
Pr(dime after a penny without replacement) = 7/47
The probability of a penny and then without replacement a dime = Probability of picking a penny ×
Pr(dime after a penny without replacement)
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Answer:
1428 in³
Step-by-step explanation:
To find the volume of this figure, we will need to use two formulas. The volume of a Rectangular Prism () and volume of a triangular prism.
If we look at the Rectangular Prism, we can find that l = 17, w = 8, and h = 5. Multiply these to find the volume:
17 × 8 × 5 = 680 in³.
Solving for the triangular prism gives us:
A = 1/2 (11 × 8 × 17)
A = 748.
Add these two volumes to find the volume of the composite figure:
748 + 680 = 1428 in³