Math Answers

𝑦′ − 𝑦 = 𝑒^2𝑥𝑦^3

In a family with two children,find the mean of the number of children who will be girls

A manufacturer of bicycle tires has developed a new design which he claims has an average lifespan

of 15 years with standard deviation of 2 years. A dealer of the product claims that the average lifespan

of 150 samples of the tires is only 4 years. Test the significant difference of the population and

sample means.

Which graph represents the parametric equations x = 3t and y = t³ – 1, where –2 ≤ t ≤ 3?

An expirement study was conducted by a researcher to determine if a new time slot has an effect on

the performance of pupils in Mathematics. Forty randomly selected learners participated in the study.

Toward the end of the investigations, a standardized assessment was conducted. The sample mean

was 78 and the standard devation of 13. In the standardization of the test, the mean was 63 and the

standard deviation was 6. Use 5% level of significance.

A shipment of five computers contains two that are slightly defective. If a retailer receives three of these computers at random, list the sample space using the letters D and N for defective and non-defective computers respectively and find the value of random variable X representing the number of computers purchased by the retailer which are slightly defective.

It costs a bakery Php 15 to make a loaf of bread and Php 30 to make a pineapple pie. Production costs of these items cannot exceed Php 300. There must at least be 15 of these items. Let x represents the total number of loaf bread to be made, and y be the number of pineapple pie.Which system of inequalities shows the various combinations of the bakery can produce with these two items?

Q.1 Prove by contrapositive that if n = a*b, where a and b are positive integers, then

a ≤ √n or b ≤ √n

a computer software retailer used a markup rate of 30.find the selling price of a computer game that cost the retailer $35

A computer software retailer used a markup rate of 30%. Find the selling price of a computer game that cost the retailer $35.