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A manger wants to install a rectangular notice board, ABCD, with area 1600cm^2, in the office meeting room. The notice board is to be subdivided by two thin strips of red tape AC and PQ, where PQ is parallel to AB, the shorter side of the rectangle. The length of red tape is to be a minimum. Determine the dimmensions of the notice board.
The circle has diameter RS where R is (-3,2) and S is (3,2). Find the equation of the circle.
80% of 35
16% of 70
150% of 80
118% of 3,000
5% of 12
The output voltage of power supplies manufactured by Belkin Products is believed to follow a normal distribution. Of primary concern to the firm is the average output voltage of a particular power supply unit, believed to be 10 volts. Eighteen observations taken at random from this unit are as given below:
10.85, 11.40, 10.81, 10.24, 10.23, 9.49, 9.89, 10.11, 10.57, 11.21, 10.10, 11.22, 10.31, 11.24, 9.51, 10.52, 9.92, 8.33
What is the 95% confidence interval for the average output voltage for this power supply unit?
Suppose we draw a sample of size 150 from a lot of cash registers. We test each of the sampled cash registers and find 13 defectives.
a) Determine a 95% confidence interval for the proportion of defectives in the entire batch, and
b) Determine the sample size necessary to estimate the proportion of defectives to within 2% with 95% confidence.
What would the future value of $6.5 million dollars be after 5 years at 1.2% interest rate?
factorize-
a4+a2+25
Simplify each expression by rewriting it as a single logarithm...
2 log a-3 log b=
x ln m+ y ln n=
solving exponential equations with logarithms...
3^x=17
12^x=17
9^x=4.9
6^x= 0.51
18^2x=26
2^5x=34
simplify each expression by rewriting it as a single logarithm
log X+ log Y+ log Z=
4 ln M + 21n N=
6 log A- 3 log B=
X log A + Y log B- (Z log C + W log D)=
