Math Answers

2yy′=x  and  y(2)=3.

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is found that 4% of the legitimate users originate calls from two or more metropolitan areas in a single day. However, 30% of fraudulent users originate calls from two or more metropolitan areas in a single day. The proportion of fraudulent users is 0.0177%. If the same user originates calls from two or more metropolitan areas in a single day, what is the probability that the user is fraudulent?Show working please

John and his friend were recently having a heated discussion about the number of men living in a western parish who possibly cared for children that  are not biologically theirs during 2020. Assume that a survey of the parish’s population revealed that the average number of cases and the standard deviation was 5,000 and 6000 in 2019, respectively.

John and his friend do not believe that the population average is correct. Assume that a survey based on a sample of the 800 people was conducted and found that the average number of cases in the western parish was 10,000 over the 12 months period. Conduct a hypothesis test, using a 5% significance level to determine if the average number of cases is actually higher based on the sample data.

At political rally, there are 20 Republicans, 14 Democrats, and 6 Independents. It is selected at random, find the probability he or she is either a democrat or an Independent, P(D or I) = 0.5 which is also the same as 50%

the weight of a dart to be used in a tournament is normally distributed with a mean of 17gms and a standard deviation of 0.3gms. find the probability that a dart choose at random has it weight between 16.55gms and 17.45gms 

Evaluate: ∫4 𝑥𝑒^𝑥 dx.

Calculate the area under the curve 𝑦 = 𝑥³ + 4𝑥 + 1 from x=-3 to x=3

1.    Evaluate :        (𝑥³ + 1

𝑥3

) dx.

Evaluate maximum and minimum value of the function

ƒ(𝑥) =  𝑥³-3𝑥² + 3𝑥+1

1.    Also find the equation

of tangent and normal of the ellipse

𝑥2

4

𝑦2

+

16

=1 at the point (-1,3).