The population (in millions) and the violent crime rate (per 1000) were recorded for 10 metropolitan areas. The data are shown in the following table. Do these data provide evidence to reject the null hypothesis that ρ = 0 in favor of ρ ≠ 0 at α = .05? (Give your answers correct to three decimal places.)

(a) Calculate r.


(ii) Calculate the critical region.
(smaller value)
(larger value)

The experiment is about whether the concentration of sodium bicarbonate will have an effect or not on the rate of photosynthesis in spinach by recording the time taken by the leaf disks to float in the sodium bicarbonate solution with different concentrations (0.7% and 1.5%) as treatment groups and the distilled water as the control group.

Is it possible for leaf disks to float in thecontrol group (Distilled water)?

Why do you think the leaf disks floated at different times in your trial run?

What are the potential sources of error? How will you troubleshoot these when running your experiment?

On what basis will you determine the number of replicates to be used?

The experiment is about whether the concentration of sodium bicarbonate will have an effect or not on the rate of photosynthesis in spinach by recording the time taken by the leaf disks to float in the sodium bicarbonate solution with different concentrations (0.7% and 1.5%) as treatment groups and the distilled water as the control group.

Is it possible for leaf disks to float in thecontrol group (Distilled water)?

Why do you think the leaf disks floated at different times in your trial run?

What are the potential sources of error? How will you troubleshoot these when running your experiment?

On what basis will you determine the number of replicates to be used?

A rectangular footing (0.75m∙0.75m), embedded 0.5 m, carries a downward column load of 200 kN. The footing is supported on an overconsolidated clay with the following properties:

Cr = 0.05         e = 0.7             OCR = 2.0

PI = 55            cu = 200 kPa ϒsat = 16.2 kN/m3

The ground water table is at a depth of 1.0 m below the ground surface.

a) Calculate the primary consolidation settlement for this footing.

b) Is the calculated Sc within tolerable limits?

Hint: This clay deposit is very deep. Assume that the portion (or thickness) of the clay layer that will consolidate is between z = Df and z = Df + 2B.

-How can you determine the distance to a spacecraft from the time it takes its radio signal to reach Earth?

-What do gamma rays, X-rays, light, and radio waves all have in common?

-Which type of reflector telescope would be the easiest to construct, and why?

-Contrast image formation in reflectors and refractors.

-A reflecting telescope has a mirror diameter of 4.0 m. What is the angular resolution of the telescope for red light of wavelength 0.7 μm?

-What is the resolution of a telescope?

-What is true of radio telescopes?

-One advantage of the Hubble Space telescope over ground based ones is that....

Suppose you take out a 20-year mortgage for a house that costs $462,293. Assume the following: The annual interest rate on the mortgage is 4%. The bank requires a minimum down payment of 18% at the time of the loan. The annual property tax is 1.7% of the cost of the house. The annual homeowner's insurance is 0.7% of the cost of the house. The monthly PMI is $99 Your other long-term debts require payments of $730 per month. If you make the minimum down payment, what is the minimum gross monthly salary you must earn in order to satisfy the 28% rule and the 36% rule simultaneously?

Q2- Economists estimate that the supply function and demand function for the widget market is given by the following expressions: q = 0.2 · π − 40 π = −10q + 2000 π = 5q + 200 Draw demand and supply curves as a function of q and calculate;

A- the demand and price at the market equilibrium.
B- For this equilibrium, calculate the consumers’ gross surplus, the consumers’ net surplus, the producers’ revenue, the producers’ profit and the global welfare

2. The following probability distribution of the monthly incomes (X in $1000) of
account executives has been estimated for a big accounting firm.
a. Find the expected value and the standard deviation of the monthly
incomes.
b. A random sample of 64 executives is taken. What is the probability
that the sample mean value exceeds $20,500?

X   12 14 20 22 30
P(X) 0.15 0.15 0.4 0.2 0.1

A horizontal wire has one end fastened to a wall while the other end is pulled with a force of 200 N. The wire has a length of 5 m, a volume mass density of 7,400 kg/m³ , and a resistivity of 6.9e-07 Ωm. A transverse pulse takes 0.2 s to travel the length of the wire. Calculate the electrical power dissipated by the wire while a current of 2 A is passing through the wire

with 2 blocks on an incline, what happens when
1) both A & B are stuck and when
2) B is stuck and A starts to slide?
Obviously, Static and Kinetic frictions will play accordingly and Tension in the string T = 0

A = 1 kg, B= 2 kg, Frictional coeff KA = 0.2, KB = 0.1, Theta = 20 degrees

This is a problem that exists on this site and a solution for when the blocks start moving