Answer: The length of AB = 8 units
Step-by-step explanation:
Given: In parallelogram ABCD, Sides A B and D C are parallel.
The length of AB is 4q minus 8 and the length of DC is q + 4.
Since opposite sides of parallelogram is parallel and equal.
So 
Length of AB = 4q-8=4(4)-8=16-8=8 units
Hnece, the length of AB = 8 units
Given that the value of an industrial machine has a decay factor of 0.75 per year, and after six years, it became $7,500 only, this would mean that the original value of the machine would be solved like this: <span>7500 = x(1-.75)^6
</span>7500 = x(0.25)^6
7500 = x(<span>0.00024414062)
7500 = </span><span>0.00024414062x
x = </span><span>30, 720, 000
Hope this answers your question.</span>
92/100
The first 2 digits are 92, 92/100 is 0.92
The general equation of a line in slope-intercept form is:
y = mx + b
where m is the slope and b is the constant term.
If x is put equal to zero the equation becomes:
y = b
therefore the constant term b is the intercept on the y axis, or the y-intercept.
Answer:
16%; 2.5%; 34%; 81.5%
Step-by-step explanation:
Using the empirical rule, we know that 68% of data falls within one standard deviation of the mean; 95% of data falls within two standard deviations of the mean; and 99.7% of data falls within 3 standard deviations of the mean.
This means from the mean to 1 standard deviation (σ) above is 34% of data; from the mean to 1 σ below is 34% of data; from 1 σ to 2σ above is 13.5% of data; from 1σ to 2σ below is 13.5% of data; from 2σ to 3σ above is 2.35% of data; from 2σ to 3σ below is 2.35% of data; more than 3σ above is 0.15% of data; and more than 3σ below is 0.15% of data.
647 is 1 σ above the mean. This means that we go from here above;
13.5+2.35+0.15 = 16%
747 is 2σ above the mean. This means that we go from here above:
2.35+0.15 = 2.5%
447 is 1σ below the mean and 547 is the mean. This means that we have 34%.
347 is 2σ below the mean and 647 is 1 above the mean. This means we go from:
13.5+34+34 = 81.5%
