The answer is: 5,614 square inches.
The explanation is shown below:
1. The gift on the bottom is a rectangular prism. To calculate its surface area, you must apply the following formula:
Where is the length (20 inches), is the width (42 inches) and is the heigth (16 inches).
2. Substitute values:
3. The surface area of the other gifts can be calculated with the formula for calculate the surface area of a cube:
Where is the side.
4. The surface area of the bigger cube is:
5. The surface area of the smaller cube is:
6. The total surface area (the combined surface area of the three gifts) is:
The probability that there is at most one purple marble is 0.9701.
<h3>What is the probability about?</h3>
Probability is a term that connote the possibility of an event or something occurring or not.
Note that it is one that is based on the level of occurrence that can be seen in a random event.
Based on the fact that there is a bag that has eight yellow marbles, nine green marbles, three purple marbles, and five red marbles, the probability that there is at most one purple marble is 0.9701.
Learn more about This probability case from
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Answer:
<u>The budget for defense can be represented as x + 660.4</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Budget for education is $ 660.4 billion less than budget for defense in some country
x = represents the budget for education, in billion of dollars
2. How can the budget for defense be represented?
x = represents the budget for education, in billion of dollars
x + 660.4 = represents the budget for defense, in billion of dollars also
<u>The correct answer is that the budget for defense can be represented as x + 660.4</u>
Rectangle Formula: a = lw (Area = Length x Width)
Trapezium: A= a+b/2h (Area = Area + Base / 2 x h)
I hope this helps. :)
Answer:
Step-by-step explanation:
A new study suggests that waiting at least an hour after dinner before going to sleep reduces your risk of stroke by about two-thirds.
And for every 20 minutes more that you wait, stroke risk drops another 10%, says researcher Cristina-Maria Kastorini, MSc, a nutritionist at the University of Ioannina Medical School in Greece.
The study does not prove cause and effect -- only that there seems to be an association between waiting an hour or more between dinner and bedtime and reduced stroke risk.
Results of the 1,000-patient study were presented here at the European Society of Cardiology Congress 2011.