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- The weight of goats at a farm is normally distributed with a mean of 60 kg and a standard deviation of 10 kg. A truck used to transport goats can only accommodate not more than 650 kg. If 10 goats are selected at random from the population, what is the probability that the total weight exceeds the maximum weight?
an unknown salt when heated with buses flame produced a bright-yellow flame.an aqueous solution of this salt when reacted with dilute HCl related a gas turns lime water milky. upon addition of calcium chloride solution to an aqueous solution of salt ,a white precipitate is formed. what is the unknown salt?
Write a java program to find the sum of all even numbers between 1 to n - using while loop
Create a file named “Circle.txt” and write the following data:
Circle 1, 5
Circle 2,10
Circle 3,4
Each Line has a Circle Name(Circle 1 as in example in 1st line above) and its radius separated by a comma. You have to calculate the Area of
each circle using (pi*r*r) and write it at the end of every line. (5+ 10)
e.g.
Circle 1 , 5, 78.5
Circle 2, 10, 314
Circle 3, 4, 50.24
A car is stopped at a traffic light. It then travels along a straight road so that its distance
from the light is given by x(t) = bt
2 − ct
3
, where b = 2.40m/s
2
and c = 0.120 m/s
3
.
(a) Calculate the average velocity of the car for the time interval t = 0 to t = 10 seconds.
(b) Calculate the instantaneous velocity of the car at t = 0,t = 5s, and t = 10s.
(c ) How long after starting from rest is the car again at rest?
1. You normally drive on the freeway between Lopez, Quezon and San Pablo, Laguna at an
average speed of 105 km/hr, and the trip takes 2 hours and 20 minutes. On a Friday
afternoon, however, heavy traffic slows you down and you drive the same distance at an
average speed of only 70 km/hr. How much longer does the trip take?
(a) The demand (D) and supply (S) equations for a commodity (X) are given by:- D = 2000 – 20P S = -500 + 30P, where P = Price (R) per unit (i) Find the equilibrium price and quantity and show on a suitable diagram.
1. Compute for the amount of charge (q) of a 15 V battery with -45 J potential energy
2. A metal sphere has 5x10^-9C static charge. Compute the voltage if the radius is equal to 0.05m. (k=8.99 x 10^9 N.m^2/C^2
3. Find the Total capacitance of the three given capacitors in series connection, given their
individual capacitances, 4.0 μF, 15.0 μF.
4. Find the net capacitance of the three given capacitors connected in parallel, given their individual capacitances, 2.0 μF, 5.0, μF, 8.0 μF.
5. A parallel plate capacitor was placed 0.002 m apart. Compute for the capacitance if the area each plate is equal to 0.025 m^2. (ε0 = 8.85x10^-12 F/m)
18. In a redox titration, potassium permanganate, KMnO4, was standardized using a 19.60 g/L
FeSO4(NH4)SO4.6H2O, (molar mass = 392.21 g/mol) standard solution. A 20.00 mL of the
standard solution, acidified with H2SO4 was put in a conical flask. A titre volume 15.50
mL of KMnO4 solution was required to reach the end-point. The titration reaction is:
Fe2+(aq) + MnO4
−(aq) → Fe3+(aq) + Mn2+(aq)
(i) Balance the above redox reaction in basic medium.
(ii) Calculate the molarity of the standard solution.
(iii) Determine molarity of MnO4-(aq) in the burette.
Suppose that 𝑑𝐴 𝑑𝑡 = −0.0004332 𝐴(𝑡) represents a mathematical model for the radioactive decay of radium – 226, where 𝐴(𝑡) is the amount of radium (measured in grams) remaining at time 𝑡 (measured in years). How much of the radium sample remains at the time 𝑡 = −0.002 with initial condition 𝐴(1) = 0.005
#339914 on Dec 2023