This can be treated as a proportion problem.
Larger solid:
Surface area = 1,372 cm²
Volume = 1,801 cm³
Smaller solid:
Surface area = 1,008cm²
Volume = ?
1,372 / 1,801 = 1008 / x
1,372 * x = 1,801 * 1008
1,372x = 1,815,408
x = 1,815,408 / 1,372
x = 1,323.18
The volume of the smaller solid is 1,323.18 cm³
Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.
For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
- 37% say yes, hence
Then:
0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.
A similar problem is given at brainly.com/question/24863377
<h3>
Answer: B) Complex numbers</h3>
Complex numbers are always in the form a+bi with 'a' and 'b' as real numbers.
If b = 0 and 'a' is nonzero, then a+bi = a+0i = a which is strictly a real number
If a = 0 and b is nonzero, then a+bi = 0+bi = bi indicating that the number is now purely imaginary
You take 60 and divide it by 10 which is 6 so the height would be 6
9514 1404 393
Answer:
A. 5
Step-by-step explanation:
The base AB is twice the length of the midsegment CD.
8n +10 = 2(5n)
8n +10 = 10n . . . . . eliminate parentheses
10 = 2n . . . . . . . . . subtract 8n
n = 5 . . . . . . . . . . . divide by 2