Math Answers

Select the statement that is the negation of “All summer days are muggy.”

A. All muggy days are summer.

B. Some summer days are muggy.

C. Some summer days are not muggy.

D. No summer days are muggy.

If P(B) = 0.15, P(A | B) = 0.50, P(B′) = 0.85, and P(A | B′) = 0.60, find P(B | A)

4.Three women bought notebooks which was advertised to be P27.00 each. Each give P10.00 to the agent, and ask her to bring back P3.00. The agent returns to the desk. where she learns that the notebook is actually only P25.00 each. She gives P25.00 to the desk clerk, returns to the women, and gives back each P1.00, deciding not to tell them about the actual rate. Thus the agent has pocketed P2.00, while each guest has spent 10-1-P9, a total of 2+3-9-P29. What happened to the other peso?

1. The blood groups of 200 people are distributed as follows: 40 have type A blood, 75 have type B blood, 60 have type O blood, and 25 have type AB blood. If a person from any of the group is selected at random, what is the probability that this person has an O blood type? How about the AB blood type?

Let ((Xn, Yn)) and ((Un, Vn)) be sequences in R2, and let

(X0, Y0), (U0, Vo) belong to R2.

(i) If (Xn,Yn) converges to (X0, Y0) and (Un, Vn) converges to (Uo, Vo), then (Xn,Yn)+(Un, Vn) converges to (X0,Y0) + (U0,V0) and (Xn,Yn).(Un,Vn) converges to (Xo,Y0)(Uo, V0).

ii) If (Xn, Yn) converges to (X0, Y0), then for any r belonging to R, r(Xn,Yn) converges to r(X0,Y0).

1. 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?

John had 5 cookies and ate 2 how much more cookies does he have left?

Pamela borrows an amount of money for emergency house repairs. The interest on the loan is compounded

quarterly. After four years the debt accumulated by R7 980,00 to the amount of R32 923,00. The yearly

interest rate, expressed as a percentage and rounded to two decimal places, at which the money was borrowed,

is

According to a factory employer, the mean working time of workers in the factory is 6 hours with a standard

deviation of 0.5 hours. A researcher interviewed 50% of the employees and found out that their mean working

time is 8 hours with a standard deviation of 1 hour. The 𝛼 level is 0.05.

Instruction: Use the seven-step method to solve the following.

In a vegetables nursery, the caretaker thinks that the lengths

of seedlings in a box sprayed with a new kind of fertilization

has an average height of 16cm after three days and a

standard deviation of 5cm. One researcher randomly selected

60 such seedlings and calculated the mean height to be 12cm

and standard deviation was 5cm. Will you conduct a onetailed test or two tailed test. Proceed with the test using

α=0.05..