The owner of a factory that sells a particular bottled fruit juice claims that the average capacity of a bottle of their product is 250mL and standard deviation of 3 ml. A random sample of 50 bottles of fruit juice have a mean volume of 245 ml. At a level of significance of 5%, is there a sufficient evidence to the support the claim of the owner?
xdy/dx = x2 +5y
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1. A metal with a 3+ charge travels at a speed 1000 m/s and is moving perpendicular to the magnetic field with a magnitude of 1.0 T. Determine the magnitude of magnetic force acting on the metal.
2. Determine the magnitude of Magnetic Force produced on a straight wire 50 cm long when a 20 A current flow on it while being exposed on a 20 T magnetic field acting 90° on the wire.
3. Determine the Current in a long straight wire that would produce a magnetic field that produce a Magnetic Field three times that of Earth's Magnetic Field located at a distance 10.0 cm from the wire. (Assuming Earth's Magnetic Field is equal to 5 * 10 - 5T & mu0=4 pi*10-7T.m/)
A car is moving in rest with an acceleration of 2 ms-2 and reached to 20ms-1. Find the time taken?
the larger zone is inhibition is around a disk, the more effective that antibiotic is at killing Bactria. There are disks already soaked in antibiotics that can be purchased. These disks are labelled with a code to show the type of antibiotic each one contains. The following pictures show the results of a disk diffusion assay for different types of bacteria. For each Bactria, what antibiotic would you recommend be used on the patient? Explain your choice
For the population of 18 74 year old females in the United States height is normally distributed with mean 63.9 inches and standard deviation 2.6. If we randomly select a woman from the population what’s the probability that she’s less than 60 inches
Instructions
Upload photos of your answer sheet showing your name and solution. (2 items x 10 points)
1. Find A-B using the following matrices:
5
6 1
2
9
3
A=-3
5
8
B=|
81
4
3
3
4
67
-5
-1
2. Find AB using the following matrices:
A=
1 2
3
B=
+ Prepare answer
7
9
8
10
4 5 6
11
12
Let the function , defined by
f(x)= 1/x+3 ; x∈ [3,∞[
Check whether f is uniformly continuous or not on the interval of definition
If the partition P2 is a refinement of the partition P1 of [a,b], then L(P1,f)≤L(P2,f) and U(P2,f)≤U(P1,f). Verify this result for the function f(x)= 4 cosx , defined over [0, π/2] and for the partition P1= { 0, π/6, π/2} and P2= {0,π/6,π/3,π/2}