Solve the quadratic equation by factoring.
1 answer:
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9514 1404 393
Answer:
a) attached
b) 100 square inches, 1/4 of the total
c) square root of area
d) multiply by 4
Step-by-step explanation:
a) A diagram is attached
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b) If the total area consists of 4 squares of the same size, then the area of one square will be 1/4 of the total area. 1/4 of 400 square inches is 100 square inches, the area of one square.
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c) The area of a square is the square of the side length. You find the side length by finding the square root of the area. √(100 in²) = 10 in, the side length of each square.
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d) The rectangle is 4 squares laid side by side, so its length is 4 times the side length of one square: 4×10 in = 40 in.
We have to divide 9/10 by 3/12.
if we divide by a fraction, we can instead multiply by it's inverse:
so now we count:
so we can cut exactly 3 pieces!
if we divide by a fraction, we can instead multiply by it's inverse:
so now we count:
so we can cut exactly 3 pieces!
Answer:
And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable of interest for a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability on this way:
And we can use the following excel code to find the answer: "=NORM.DIST(-0.704,0,1,TRUE)"