Examples for secondary school students - page 10 of 230
Number of problems found: 4585
- Two numbers 17
The sum of two numbers is 9, and the sum of their cubes is 189; find the sum of their squares. - A cone 4
A cone with a radius of 10 cm is divided into two parts by drawing a plane through the midpoint of its axis parallel to its base. Compare the volumes of the two parts. - EE school boarding
Three vectors, A, B, and C, are related as follows: A/C = 2 at 120 deg, A + B = -5 + j15, C = conjugate of B. Find C. - A high
A high school track team's long jump record is 23 feet, 11 3/4 inches. Paul's best long jump is 23 feet and 3 1/2 inches this year. If long jumps are measured to the nearest quarter inch, how much farther must jump to break the record? - Arithmetic progressions.
Find the sum of all the numbers between 9 and 204, which is exactly divisible by 3. - Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15. - Value of the note
A 10-month promissory note issued on March 21, 2021, bearing interest of 7.2% p.a., has a maturity value of $4128.02. Find the face value of the note. - The usage
The battery usage time installed in a particular smartphone has a Normal distribution with a mean of 25.2 hours and a standard deviation of 7.5 hours. What is the probability of usage time greater than 32? - Squared deviation
Given the data from the problem (sample data: 23, 27, 35, 44), find the sum of the squared deviations (the numerator of the fraction under the square root in the formula). In finding the number, round all calculations to 2 decimals (if you carry more or f - Complex number z
Let z = -5 + i and w = 4 - 2i. Compute z - w and write your final answer in a + bi form. x = z - w - TF quiz
Gomer has to take a 5 question true/false quiz, but he hasn't studied. He will guess at each problem. In how many different ways is it possible to answer the quiz questions? How likely is it that he will get a score of 100%? - Defect rate
A manufacturing machine has a 3% defect rate. If 9 items are chosen randomly, what is the probability that at least one will have a defect? - Variance formula
Find the variance of 10,10,10,20,20,30. - The intensity
The light intensity on a screen is inversely proportional to the square of the distance between the screen and the light source. If a screen is illuminated by a light source 20 m away, the intensity is one-fifth of what is required. Where should the light - HCF of polynoms
Find the HCF of the given expression: 2a²b²c4, 2a4b³c³ and 4a²b³ - Geometric 20
Find the geometric mean of 15 15 20 25 30. - Compound interest Joel borrowed $3208.5 on November 2, 2021, at 3.6% p.a. How many days would it take for him to repay the loan if he made a payment of $ 3,720.34? Round up to the nearest day.
- And or logic
If A and B are events with P(A)=0.3, P(A OR B)=0.76, and P(A AND B)=0.04, find P(B). Enter your answer in decimal form, rounded to one place. - A basket 4
A basket contains 9 fruits, where 4 are oranges, and the rest are mangoes. Three fruits are taken out one at a time and put aside. Find the probability that 3 are oranges. - Three equations
Find the solution to the equations x-y+z=-1 x+y+3z=-3 2x-y+2z=0
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