Math Answers

Solve the following problems:

1. Jane and Albert bought a farm

measuring 78 3/5meters on one side, 63 7/10 meters on the second side, 132 5/9 meters on the third side, and 130 1/4 meters on the fourth side. The couple wants to fence the farm

with barbed wire. They have 2 rolls of barbed wire of 500 meters per roll on

hand. How many more meters of barbed wire would they have to buy if they want

to fence the farm four times?

2. Gabriela, Corazon and Remedios formed a partnership. Gabriela

contributed 1/2 of the capital. Corazon contributed 1/4 of what Gabriela contributed. Remedios contributed the remainder.

a. How much more did Gabriela

contribute than Corazon? Remedios?

b. Show the capital contributions

of the partners in terms of fractional parts.

c. Prove your answer in (b) using

subtraction.

d. If the total capitalization of

the partnership was 30 000.00, how much did each of the partners contribute?

1. Hannah invested 75,000 for a pastry business. This amount is 25% of her total savings. How much is Hannah's total savings?

2. John has 2 baskets of mangoes to sell. If 45% of the mangoes are unripe and there are 240 mangoes in all, how many ripe mangoes are there?

3. On Christmas Eve, your store's sales amount to 250,000. This amount is 75% of the total sales for that month. How much is your store's total sales for the month?

. From a box containing 4 black balls and 3 green balls, 4 balls are drawn in succession. Let Y be a random variable representing the number of green balls that occur.

Four coins are tossed. Let M be the variable representing the number of heads that occur. Find the values of the rand om variable M and its corresponding probabilities

Let f (x)= x²-4 for x<3

7 for x=3

2x+4 for x>3

a.)f(0)=

b.)f(3)=

c.)f(5)=

d )lim f(x) as x approaches to 0=

e.)lim f(x) as x approaches to 3 from left=

f.)lim f(x) as x approaches to 3 from right=

Determmine value of k such that

Kx+y+z=1

X+ky+z=1

X+y+kz=1 has a) no solution b) unique solution c) more than one solution

Two winners will be drawn from 5 SHS teachers (s) and 7 JHS teachers (J). Let W the random variables representing the JHS teachers. Find the values of the random variable W.

Find the counter example, if possible to these universally quantified statements,where the domain for all variables consists of all integers.

Ax (x > 0 V x < 0)

Suppose that P(×) is x² > 1.What is the truth value of Ax P(x) where the universe of discourse consist of all integers?

Laverny tosses an unbiased coin. He receives 100 if a head appears and he pays 40 if a tail appears. Find the variance of his gain.