Answer:
The probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.
Step-by-step explanation:
Given:
The probability of getting a microprocessor from firm A is, 
The probability of getting a microprocessor from firm B is, 
The probability of getting a microprocessor from firm C is, 
Now, let event D be having a defective microprocessor at random.
So, as per the question,
Probability of producing a defective microprocessor from firm A is, 
Probability of producing a defective microprocessor from firm B is, 
Probability of producing a defective microprocessor from firm C is, 
Now, probability of having a defective microprocessor when selected at random is given as:
Therefore, the probability that a randomly selected automobile manufactured by the company will have a defective microprocessor is 6.2 %.
The answer is b. If your problem is y=1/2x-3
Answer:
i)W = 2500 / T
ii) W = 500 Tons
iii) grad W(10°) = - 25î
iv) The formulation is not practical
Step-by-step explanation:
i) Write an equation describing the use of coal
As use of coal is inversely proportional to the average monthly temperature
if W is use of coal in tons/per month then
W(t) = k / T where k is a constant of proportionality and T is the average temperature in degrees. We have to determine k from given conditions
k = ?? we know that when T = 25° W = 100 tons the by subtitution
W = k/T 100 = k /25 k = 2500 Tons*degree
Then final equation is:
W = 2500 / T
ii) Find the amount of coal when T = 5 degrees
W = 2500 / 5
W = 500 Tons
iii)
The inverse proportionality implies that W will decrease as T increase.
The vector gradient of W function is:
grad W = DW(t)/dt î
grad W = - 2500/T² î
Wich agrees with the fact that W is decreasing.
And when T = 100°
grad W(10°) = - 2500/ 100 î ⇒ grad W(10°) = - 25î
iv) When T = 0 The quantity of coal tends to infinite and the previous formulation is not practical
Answer:
B
Step-by-step explanation:
Standard form is written according to the highest exponent on the variable to the lowest. This expression has exponents that descend from 8 to 7 and to 1. B is the correct solution.
What is 32% of 75?
Y is 32% of 75.
Equation: Y = P% * X.
Solving our equation for Y:
Y = P% * X.
Y = 32% * 75.
Converting percent to decimal:
p = 32%/100 = 0.32.
Y = 0.32 * 75 .
Y = 24.
Answer is 24.
