Examples for secondary school students - page 15 of 222
Number of problems found: 4435
- A fair 2
A fair die is thrown two times. What is the probability that the sum of the score is almost 8?
- The probability 2
The probability that an adult possesses a credit card is 0.71. A researcher selects two adults at random. The probability (rounded to three decimal places) that the first adult possesses a credit card and the second adult does not possess a credit card is
- Repairs
A small repair shop orders parts for its repairs. Its supplier claims that only 2% of its parts are defective. In order of 500 parts, an employee takes a sample of 100 parts. Determine the likelihood that the employee finds three or more parts are defecti
- 3 sigma
Students' performance scores in a statistic test have a mean of 70 and a standard deviation of 4.0. The scores obtained can be modeled by a normal distribution. Find the probability that the score of a randomly selected student is i. more than 80 marks ii
- Find all 2
Find all the complex solutions (write the answer in the form x+iy) of the system. {|z-12|/|z-8i|=5/3 ; |z-4|=|z-8|
- Altering sign sequence
Find the nth term of the sequence -1/2, 1/4, - 1/6, 1/8, - 1/10, ....
- At noon 3
At noon, the temperature was 45˚ F. For the next ten hours, the temperature fell at a steady rate. The graph represents the temperature every hour since noon. At 5:00 temperature was 20°F. At what rate did the temperature fall?
- Midpoint between conjugate
Find the midpoint between two roots: 2+3.464i and 2 - 3.464i
- The profit 3
An investment's profit (or loss) is normally distributed with a mean of $11,200 and a standard deviation of $8,250. What is the probability of a loss rather than a profit?
- Matrices 2
Suppose A=(1 6 3 −2) B=(4 −3 −4 3) find 2A+3B
- Chelsea
Chelsea Donahue has a 20-year home mortgage of $74000 at 7.50% interest and will pay a $534 annual insurance premium. Her annual property tax will be $1534. Find her monthly PITI payment.
- In 1970
In 1970 the population was 24,000. In 1980 the population was 28,800. By what percent did the population increase?
- At week
At week 3., the turtle was 5.45 centimeters long. At week 12, the turtle was 10.20 centimeters long. From week 12 to week 21, the turtle grew 0.5 centimeters less than it grew from week 3 to week 12. What was the length in centimeters of the turtle at wee
- Economic order quantity
Annual demand for a component is 20 000 units per year. Storage cost per unit per year is £8, and each order costs £200. What is the company’s economic order quantity?
- Three 222
Three tractor drivers working on a private farm together played 24 hectares of land in a shift. The first drive played half the second, and the second 4 hectares more than the third. Calculate the number of hectares played by the first, second and third.
- The Uniform Distribution
The number of tickets purchased by an individual for Beckham colleges holiday music festival is uniformly distributed random variable ranging from 5 to 12. What is the standard deviation?
- Containers
One in eight containers is temporarily misplaced. A random sample of 12 containers is selected. What is the probability that 6 of these containers will be temporarily misplaced?
- Fibonacci numbers
If the first three Fibonacci numbers are given as x1 = 1, x2 = 1, and x3 = 2, then what is the least value of n for which x(n) > 500?
- Suppose 8
Suppose the scores on a test have a normal distribution with X=74 and a standard deviation of s=18. What percentage of students have scores higher than 90? What percentage of students have scores between 70 and 85? Twenty percent of the students do better
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