Discuss the evidence regarding the role of self-esteem in academic achievement

The length of time a 1999 Honda Civic lasts before needing major repairs is normally distributed with a mean of 7 years and a standard deviation of 1.7 years.

a. What is the probability that a randomly selected 1999 Honda Civic lasts between 5.5 and 9 years?

b. If Honda Motor Company, Ltd. informed you that your Honda Civic is at 70th percentile, what is your Honda Civic’s years without major repairs?

c. A family-owned two Honda Civics. One of them is 1999 and lasted 7.5 years without a major repair. Other one (2002) lasted 9.0 years, but the distribution of 2002 Honda Civic had higher mean (8.4) with a standard deviation of 1.9 years. Which Honda Civic did better relative to other Honda Civics from the same year? (hint: Need to compare z scores from different normal distributions (1999 and 2002).

solve the wave equation utt=4uxx for a string of length 3 with both ends kept free for all time (zero Neumann boundary conditions) if initial position of the string is given as x(3-x), and initial velocity is zero.

(PDE)

Find the series soln to Ut=Uxx on -2<x<2, T>0

with Dirichlet boundary { U(t,-2)=0=U(t, 2)

initial condition { U(0,x) = { x, IxI <1

Solve the given Boundary Value Problem. Apply the method undetermined coefficients when you solve for the particular solution.

y′′+2y′+y=(e^-x)(cosx−sinx)

y(0)=0,y(π)=e^π

The current of a beam of electrons, each with a speed of 908 m/s, is 7.15 mA. At one point along its path, the beam encounters a potential step of height -1.28 μV. What is the current on the other side of the step boundary?

The student academic group on a college campus claims that freshman students study at least 2.5 hours per day, on average. One Introduction to Statistics class was skeptical. The class took a random sample of 30 freshman students and found a mean study time of 137 minutes with a standard deviation of 45 minutes. At α = 0.01 level, is the student academic group’s claim correct? Calculate the p-value.

a. What is N-S equations for incompressible flows in cartesian coordinates in long form (in x,y,z coordinates)?

b. What is continuity equation and N-S equations for incompressible flows in polar coordinates in long form (in r,θ,z)

c. What is N-S equations in x direction for Planar Couette- Pouseille flow and derive an equation for velocity variation using boundary layer conditions

d. Assume an incompressible, steady, axissymmetric, fully developed Pouseille flow in a cylindrical pipe (infinitesimally long in z direction). The flow is in z direction, and radial and tangetial velocity is zero. Derive and simplify the N-S equation in z direction to find out the velocity in z direction. (need to use the boundary conditions to solve for integration constants)

X values and probabilities

1. Given μ_X = 750, σ_X = 100

        a) find the p(X < 970)

        b) find the p(X > 724)

        c) find the p(617 < X < 980)

        d) find X0 if p(X > X0) = .50

        e) find X0 if p(X < X0) = .0643

        f) find X0 if p(X > X0) = .4129

        g) find the 23^rd percentile of X

        h) find the two X values that are the boundary of the middle 86%, i.e. p(X0 < X < X1) = .86 and X0 and X1 are the same number of SD's away from the mean.

        i) find the two X values that are the boundary of the middle 36%, i.e. p(X0 < X < X1) = .36 and X0 and X1 are the same number of SD's away from the mean.

Consider a black body of surface area 20.0 cm^2 and temperature

5 000 K. (a) How much power does it radiate?

(b) At what wavelength does it radiate most intensely?

Find the spectral power per wavelength interval at

(c) this wavelength and at wavelengths of (d) 1.00 nm

(an x- or gamma ray), (e) 5.00 nm (ultraviolet light

or an x-ray), (f) 400 nm (at the boundary between

UV and visible light), (g) 700 nm (at the boundary

between visible and infrared light), (h) 1.00 mm

(infrared light or a microwave), and (i) 10.0 cm (a

microwave or radio wave). ( j) Approximately how much

power does the object radiate as visible light?

PLEASE answer all parts!