Concept explainers
In Exercises 9 and 10, solve for the unknown in each of the equations using one of the six principles of equality. Check each answer. Round the answers to 3 decimal places where necessary.
a.
b.
c.
d.
e.
f.
g.
h.
i.

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Chapter 49 Solutions
EBK MATHEMATICS FOR MACHINE TECHNOLOGY
- Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7, TRUE)). The part in the princess will give you the probability of seven and less than seven. When you subtract it from 1, that will give you the probability of at least eight,…arrow_forwardFind binomial probability if: x = 8, n = 10, p = 0.7 x= 3, n=5, p = 0.3 x = 4, n=7, p = 0.6 Quality Control: A factory produces light bulbs with a 2% defect rate. If a random sample of 20 bulbs is tested, what is the probability that exactly 2 bulbs are defective? (hint: p=2% or 0.02; x =2, n=20; use the same logic for the following problems) Marketing Campaign: A marketing company sends out 1,000 promotional emails. The probability of any email being opened is 0.15. What is the probability that exactly 150 emails will be opened? (hint: total emails or n=1000, x =150) Customer Satisfaction: A survey shows that 70% of customers are satisfied with a new product. Out of 10 randomly selected customers, what is the probability that at least 8 are satisfied? (hint: One of the keyword in this question is “at least 8”, it is not “exactly 8”, the correct formula for this should be = 1- (binom.dist(7, 10, 0.7, TRUE)). The part in the princess will give you the probability of seven and less than…arrow_forwardQ2. Write the following Mayan numeral (base 20) as a Hindu-Arabic numeral (base 10). Show your work. b) : || || ·| 0 ⠀ || | || ||arrow_forward
- Q12. Using the prime factorization tree, simplify the following square roots. Show your work. √2646 a) √300 b) √4050 - √1800arrow_forwardQ9. Complete the multiplication table below, then use it to perform divisions given below. Show your work. ☑ 0 1 2 3 0 0 0 0 1 0 1 3 2 0 2 4 11 13 3 0 3 14 4 0 13 3 a) ) 224 five five b) 23 five ) 4234 fivearrow_forwardQ7. Using the numeral symbols given in Question 4, calculate the following addition and subtraction. Show your work. a) cce+yгг b) Γ Γ Θ Δ - Θ Δ Υ Υarrow_forward
- Q5. Add in the indicated base. Show your work. a) A7E4 sixteen+4825 sixteen b) 5442 seven + 5340 sevenarrow_forwardQ1. Write the following Babylonian numeral (base 60) as a Hindu-Arabic numeral (base 10). Show your work. a) <arrow_forwardQ4. A tribe has been located in a remote area in South America whose system of numeration uses the following symbols, as shown with their Hindu-Arabic equivalents: 0 1 2 3 4 5 6 A Σ Ꮎ Y 0 U L a) Scientists in this tribe have measured the radius of the earth as we know it in base ten to be 6371 km. Convert this value to the numerals used by this tribe. Show your work. D b) Convert the following number to base ten:arrow_forwardQ10. Perform the following divisions in base seven. Show your work. 0 a) 12) 456 b) 25 ) 1463 c) 31 6054 31)arrow_forwardQ11. Write each one of the following decimals in quotient of integers. Show your work. a) 2.3434 ... b) 4.586 c) 0.368 d) 3.524arrow_forwardQ8. Multiply in the indicated base. Show your work. a) 513 eight x 16eight b) 405 six x 213sixarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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