Math Answers

the curve y = f(x) has a y-intercept of 3. the tangent to this curve at the point (x, y) has an x-intercept of x+2. What is the equation of this curve?

Lindiwe decides that she would like to buy her daughter, Mbali, a car when she turns 21 in six years' time. She deposits R6 000 each month into an account earning 8,94% interest per year, compounded monthly. The amount that Lindiwe (rounded to the nearest rand) will have available six years from now is

Find the standard deviation of the expected value of the probability distribution, X={1, 2, 3, 4, 5} P(X)={.10, .35, .15, .23, .17}

In a quadrilateral, two angles are equal. The third angle is the sum of the two

equal angles. The fourth angle is 60º less than twice the sum of the other

angles. Find the measure of the largest angle. Make a sketch.

a) Find 𝑑𝑦

𝑑𝑥

𝑔𝑖𝑣𝑒𝑛 𝑡ℎ𝑎𝑡 𝑦 = (𝑥

2 – 3x + 1)4

b) Differentiate 2

𝑥(x)−3𝑥+1

c) Intergrate 2x2 2

A large group of students took a test in physics and have a mean of 70 and a standard deviation of 10.If we approximate the distribution of these grades by a normal distribution, what percentage of the students

a) scored higher than 80?

b) should pass the test(grades>=60)?

c) should fail the test(grades<60)?

A normally distributed random variable X has a mean of 120 and a standard deviation of 8. Find the standard deviation normal values of the following scores:

a.200

b.70

c.150

d.300

A school club is organizing a fundraising campaign by selling raffle tickets. There are 1000 tickets being sold at Php50 each and the prizes at stake are, a laptop worth Php35,000, a mobile cellphone worth Php10,000, and a cash prize of Php5,000. You buy 1ticket. What is the expected value of your gain?

Angel’s Pizza delivers several types of pizza, which is sold for 499 pesos each and costs 300 pesos to make. The pizza shop has a policy that no charge will be asked if the delivery takes longer than a half an hour. Experience has shown that delivery takes longer than half an hour only 10% of the time. How much will the pizza shop expect to gain/lose in return?

Given the variable (X = 2, 4, 6, 8) and its corresponding probabilities {P(X) = 1/5, 3/10, 3/10, 1/5}, what will be the computed STANDARD DEVIATION