100 POINTS!!!!!!!!!!
2 answers:
Answer:
x = 6 , x = 4
Step-by-step explanation:
A line parallel to a side of a triangle and intersecting the other 2 sides then divides those sides proportionally, that is
=
=
=
( cross- multiply )
3x = 18 ( divide both sides by 3 )
x = 6
(14)
=
( cross- multiply )
15(5x + 1) = 35(x + 5) ← distribute parenthesis on both sides
75x + 15 = 35x + 175 ( subtract 35x from both sides )
40x + 15 = 175 ( subtract 15 from both sides )
40x = 160 ( divide both sides by 40 )
x = 4
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Answer:
so the difference is 84 - 63 = 21.
if we take 84 to be the 100%, what is 21 off of it in percentage?
Step-by-step explanation:
I assume that you mean: the length is 7cm more than the width, and the perimeter is 74 cm.
If so, we can write down the following system, where l and w represent, respectively, the length and the width:
We can easily solve the second equation:
And finally solve for the length:
We have been given that the distribution of the number of daily requests is bell-shaped and has a mean of 38 and a standard deviation of 6. We are asked to find the approximate percentage of lightbulb replacement requests numbering between 38 and 56.
First of all, we will find z-score corresponding to 38 and 56.
Now we will find z-score corresponding to 56.
We know that according to Empirical rule approximately 68% data lies with-in standard deviation of mean, approximately 95% data lies within 2 standard deviation of mean and approximately 99.7% data lies within 3 standard deviation of mean that is .
We can see that data point 38 is at mean as it's z-score is 0 and z-score of 56 is 3. This means that 56 is 3 standard deviation above mean.
We know that mean is at center of normal distribution curve. So to find percentage of data points 3 SD above mean, we will divide 99.7% by 2.
Therefore, approximately of lightbulb replacement requests numbering between 38 and 56.