Examples for secondary school students - page 10 of 222
Number of problems found: 4435
- 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
- The median (odd)
Jane's grades in her third periodical tests are 98, 97, 86, 94, 90, 97, 91, and 94. Find the median of her grades and interpret the result.
- Cuboid - sum of edges length
Calculate the cuboid's dimensions if the sum of its edges is 19 cm. The body's diagonal size is 13 cm, and its volume is 144 cm³. The total surface area is 192 cm².
- A ferry
A ferry with a capacity of 10 people takes a group of 13 men and 7 women across a river. Find the number of ways in which the group may be taken across the if all women go on the first group.
- Two containers 2
Two containers, one large and one small, contain a total of 4 kilograms of bath salts. One-quarter of the bath salts from the large container are transferred to the small container, so the ratio of bath salts in the large container to that in the small on
- Kenji
Kenji earned the test scores below in English class. {79, 91, 93, 85, 86, and 88} After his next test, his mean and median scores both changed to 88. What does he earn on his test?
- The sum 41
The sum of 640.00 was deposited in the first bank for five years, and the interest given was 160.00. Find the rate.
- Properties of eq2 roots
If p and q are the zeroes of the quadratic polynomial f(x) = 2x2 - 7x + 3, find the value of p + q - pq.
- Open and short circuit tests
A 4 kVA 200/400 V single phase 50 Hz transformer has the following data on O. C. (open circuit) & S. C. (short circuit) test: O. C. Test: 200 V 0.8 A 70 W (Low Voltage side) S. C. Test: 20 V 10 A 80 W (High Voltage side) Find Full Load efficiency and regu
- Geometric progression
For the following geometric progression, find the seventh (7th) term: 4, 12, 36, 108, .
- Exp decay
An element with a mass of 780 grams decays by 16.3% per minute. How much of the element is remaining after 16 minutes, to the nearest 10th of a gram?
- The mass 3
The mass of certain types of cabbage is normally distributed with a mean of 1000 g and a standard deviation of 0.15 kg. In a batch of 800 cabbages, estimate how many a mass between 750g and 1290g.
- Fredrik
Fredrik knows that x² + ax + b = 0 has only one solution, and this is x1 = - 3/2 Find the values of a and b.
- Width and length
For a particular rectangle, twice the width is 1 meter longer than the length. The area of the rectangle is 153 square meters. What is the perimeter of the rectangle?
- The balance 2
If your balance at the end of 4 years is 50000, at a 5% interest rate, What was your original investment?
- Years 3
How long will it take for a given sum of money to triple itself at 20% annual compound interest?
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