Basic operations and concepts - math word problems - page 221 of 321
Number of problems found: 6419
- They held
A 100-meter race was held at school. Peter, Jan, Andrej, Radko, and Miro advanced to the final. Peter finished either second, third, or fourth. Jan was not the winner. Andrej finished one place behind Jan. Radko did not finish in second place. Miro was tw - Dance party
At the dance party, the organizer discovered that 168 different dance pairs could be formed from girls and boys. How many boys are there at the dance if there are 12 girls? - A married
A married couple planned to have three children. i. List the possible combinations of the sexes of 3 children. Use B for a boy and G for a girl. ii. Calculate the probability that all three children would be of the same gender - Number 4
Kamila wrote all-natural numbers from 1 to 400 inclusive. How many times did she write the number 4? - 68-95-99.7 rule
Assume the resting pulse rates for a sample of individuals are normally distributed with a mean of 70 and a standard deviation of 15. Use the 68-95-99.7 rule to find the following quantities. a. Percentage of pulse rates less than 70 b. Percentage of puls - Determine 82341
Determine the equation of the circle that is the set of all points of the plane that are twice as far from the point [3,7] as they are from the point [0,1]. - Polygon 3
Polygon ABCD is dilated, rotated, and translated to form polygon QWER. The endpoints A and B are at (0, -7) and (8, 8), and the endpoints QW are at (6, -6) and (2, 1.5). What is the scale factor of the dilation? - Similarity
Are two right triangles similar if the first one has an acute angle 60° and the second one has an acute angle 30°? - Bulbs and electricity
In the sports hall, 875 identical light bulbs light for 2 hours. How long do 100 such light bulbs consume the same amount of electricity? - Entrepreneurs 4509
The entrepreneur took out a business loan of 15,000 at an interest rate of 7.5% p. to start a business. a. The state subsidy for start-up entrepreneurs is 800 euros per year for three years and must be used to repay the loan. How much interest will the en - Transformation 26961
The output voltage of the transformer is 880 V. The secondary coil has 1200 turns. Determine the voltage to which the primary coil is connected and how many turns it has if a current of 1 A flows through it. The transformation ratio is k = 4. What current - Exponential warm
Suppose that a body with temperature T1 is placed in surroundings with temperature T0 different from that of T1. The body will either cool or warm to temperature T(t) after time t, in minutes, where T(t)=T0 + (T1-T0)e^(-kt). If we placed jello salad at 30 - Number train
The numbers 1,2,3,4,5,6,7,8, and 9 traveled by train. The train had three cars, and each was carrying just three numbers. No. 1 rode in the first carriage, and in the last were all odd numbers. The conductor calculated the sum of the numbers in the first, - Sum on dice
We have two dice. What is the greater likelihood of falling a total sum of 7 or 8? (write 7, 8, or 0 if the probabilities are the same)? - Twenty-three-year-old 6317
The average age of the first five hockey players was 22 years. The coach replaced the twenty-three-year-old player with a younger one, which lowered the average age of the first five hockey players to 21 years. How old is the new player? - Granulate 83503
Bathing water should have a pH value in the range of 6.8 - 7.2. How much granulate should we add to increase the pH value from 6.2 to 7 if a dose of 100g/10m³ increases the pH by approx. 0.1? P.S. It's not 800 grams. - Calculate 7572
At eight in the morning, a cyclist went from city K to city L. He stayed in city L for 4.25 hours and returned home at 3:00 p.m. Calculate the distance between cities K and L if the cyclist traveled to city L at a speed of 12 km/h and from city L to city - Gertrude 62304
Six boys and six girls (among them Emil, Félix, Gertrude, and Hanka) want to dance. The number of ways they can make six (mixed) couples if Emil does not want to dance with Gertrude and Hanka wants to dance with Felix is? - Production 60701
The enamel for the production of bottles contains defects. The average number of caries is 15 per 100 kg. The bottle weighs 1 kg. What is the proportion of defective bottles? - Probability 5576 Jana rolls two dice at the same time. What is the probability that she will score a total of four points?
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