Topic test 1 ■ ■ ■ Exploring numbers Name: Time allowed: 45 minutes. Part A: 20 multiple-choice questions (40 marks) Part B: 19 free-response questions (60 marks) 20 multiple-choice questions 2 marks each: 40 marks Circle the correct answer. 1 What is −7 + (−8)? A 15 C −15 B 1 D −1 Part A 10 What percentage is 90 minutes of 3 hours? A 90% C 30% -B 33 1 % 3 D 50% 2 Round $18.4427 to the nearest 5 cents.
The population of lengths of aluminum-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches. What is the probability that a sheet selected at random from the population is between 29.75 and 30.5 inches long? (Points : 5) .4332 .4878 .0546 .9210 | 3. During the past six months, 73.2% of US households purchased sugar. Assume that these expenditures are approximately normally distributed with a mean of $8.22 and a standard deviation of $1.10.
If the value of x is postnatal age of 30 hours, what is the value for Yˆ or SBP for neonates 1,001–1,500 grams? Show your calculations. 7. Compare the SBP readings you found in Questions 5 and 6. Explain the difference in these two readings.
(Data are from Science 283 [February 26, 1999], p. 1296.) A) What is the probability that a randomly chosen sample of glass will break at less than 579 MPa? z(579) = (579-579)/14 = 0 P(x < 579) = P(z<0) = 0.5000 B) More than 590 MPa? z(590) = (590-579)/14= 11/14= 0.7857 P(x<500) = P(z< 0.7857) = 0.2160 C) Less Than 600 MPa?
The independent variable is the length of the string. The angle of the drop height was at 90 degrees and the mass was 10 grams Length of String (mm) | Trial 1 (seconds) | Trial 2 (seconds) | Trial 3 (seconds) | Average (seconds) | Period (seconds) | 300 mm | 25.15 seconds | 25.26 seconds | 25.12 seconds | 25.18 seconds | 1.259 seconds | 200 mm | 20.70 seconds | 21.15 seconds | 20.78 seconds | 20.88 seconds | 1.044 seconds | 100 mm | 15.61 seconds | 15.60 seconds | 16.03 seconds | 15.75 seconds | 0.7875 seconds | 3.) Mass: Hypothesis: I predict that the greater the mass on the pendulum, the longer period of the pendulum. The independent variable is the mass on the pendulum. The angle of the drop height was at 90 degrees and the length of the string was at 300 mm.
Calculate the volume 3.00 moles of a gas will occupy at 24.0 °C and 101.3 kPa. 2. How many moles of gas would be present in a gas trapped within a 100.0 mL vessel at 25.0 °C at a pressure of 2.50 atmospheres? 3. If the number of moles of a gas are doubled at the same temperature and pressure, will the volume increase or decrease?
Which of the following numbers, when rounded off to the nearest thousand, becomes 7 541 000? A 7 530 798 C 7 540 618 ( B 7 531 300 D 7 541 503 5. When 690 203 is broken down according to its digit values, it becomes A 690 000 + 20 + 3 B 690 000 + 200 + 3 C 600 000 + 9 000 + 200 + 3 D 600 000 + 90 000 + 200 + 3 ( 6. Which of the following numbers is the nearest to 1 million? A 989 799 C 1 000 100 ( B 997 899 D 1 100 000 7.
1. Finding Present Values: What is the present value of the following future payments: a) $1,210 in 2 years at a 10% discount rate: present value = $1,210/(1.10)2 = $1000 b) $1,259.71 in 3 years at an 8% discount rate: present value = $1,259.71/(1.08)3 = $1000 c) $1,040 in 1 year at a 4% discount rate: present value = $1,040/(1.04)1 = $1000 2. General formula for finding the present value of several future annual payments Present Value = P1/(1+r)1 + P2/(1+r)2 + ( +(F + Pn)/(1+r)n Where 1, 2, (n = number of years; r = discount rate; Pn = payment; F = face value 3. Finding Present Values Using the General Formula: a) You can make two different investments. The interest you receive on the first investment is $110 per year for three years.
Use the following scenario for the next 3 questions. Suppose that monthly sales volume for a product is normally distributed, with a mean of 500 units and a standard deviation of 50 units. If x denotes the number of units sold in a month, what are the following probabilities: 1) P(x < 450) 2) P(x > 600) 3) P(400 < x < 450) The next 2 questions refer to the following situation. Between the hours of 1:00 and 5:00 PM the average number of phone calls per minute on a cell phone tower is 2.5. 4) What is the probability that during one particular minute there will be more than 6 phone calls?
Calculate the Cash Discounts for all Merchandise Purchased. a. Wanda’s Wax i. $2,000.00 worth of inventory with terms of 2/10, net 30 EOM - means that if this amount owed is paid on March 10th, (when the Cash Discount ends) the total cost saved is $40.00. Caty’s Candles would only pay $1,960.00 by March 10. b. Scented Oil from Sally’s Scents ii. $800.00 with terms of 1/10, net 40 EOM – means that if this amount owed is paid on March 10th (when the Cash Discount ends) the total cost saved $8.00.