7th grader needs help, Can someone please answer this is due Monday???????? Part B
1 answer:
Answer: 1) 150 square cm
2) 70.71 square cm
Step-by-step explanation:
1) Here, the side of the cube = 5 cm,
Also, the surface area of a cube =
Thus, the surface area of the given cube =
= 6 × 25
= 150 square cm,
Thus, the total area which is painted = 150 square cm,
2) Since, After cutting the cube along the diagonal we get two prism that having rectangular base that is not covered by paint,
And, the dimension of the base of a prism after cutting the square = 7.071 cm × 5 cm,
Thus, the area of the base of the prism = 7.071 × 5 = 35.355 square cm
⇒ The total area of bases of the two prisms after cutting that is not covered by paint = 2 × 35.355 = 70.71 square cm
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Answer:
a) The officers can be appointed in 24024 different ways.
b) The committee can be appointed in 1001 different ways.
c) 1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates
Step-by-step explanation:
The order in which the officers are appointed is important(the first is the president, second the CEO and so on...). So the permutations formula will be used.
Otherwise, in the committee there are no roles, so the order is not important. So the combinations formula will be used.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
A. How many different ways can the officers be appointed?
4 from a set of 14, with roles. So a permutation.
The officers can be appointed in 24024 different ways.
B. How many different ways can the committee be appointed?
4 from a set of 14, without roles. So combination
The committee can be appointed in 1001 different ways.
C. What is the probability of randomly selecting the committee members and getting the three youngest of the qualified candidates?
A probability is the number of desired outcomes divided by the number of total outcomes.
Desired outcomes.
The three youngest(1 combination), and one of the other 14-3 = 11. So
Total outcomes:
From B., 1001, so
Probability:
1.1% probability of randomly selecting the committee members and getting the three youngest of the qualified candidates