Answer:
0.16
Step-by-step explanation:
- Length = 5 units
- Number of broken sticks= 3
- Equal lengths = 5 units/3
<u>See the picture attached for reference.</u>
As you see the best points are the green areas which covers 2 out of 5 zones.
<u>Since it is same for both broken points, the probability of this is:</u>
<u>Answer is</u> 0.16
Answer:
(2x+1)/(x^2 -4)
Step-by-step explanation:
When you add fractions (or rational expressions) you need to express each of them over a common denominator, so you can add the numerators. (Parentheses or other grouping symbols are required.)
You factor the denominator on the left so you can see what factors are missing from the denominator on the right.
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<em>Numerical example</em>
Suppose you want to add the fractions 4/15 and 3/5. You would factor the denominator 15 into 3·5, so you can see that the fraction 3/5 needs to be multiplied by (3/3) in order to give it a denominator of 15. Once the two fractions have a common denominator, you can add their numerators.
4/15 + 3/5 = 4/15 + (3/5)(3/3)
= 4/15 + 9/15
= (4+9)/15 = 13/15
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<em>Comment on grouping symbols</em>
When a rational expression is typeset, the division bar of the fraction identifies the numerator and the denominator:
When you write it in plain text as ...
x - 1/x^2 -4
this becomes a 3-term expression:
(x) -(1/x^2) -(4)
which is very different from what you may intend. In order to match the original typeset expression, parentheses must be added to show the group in the numerator and the group in the denominator:
(x -1)/(x^2 -4)
The same holds for exponents. The superscript position in a typeset expression tells you what the exponent is. When you write the same thing in plain text, parentheses are needed to show the exponent group.
= 3^(x -1) ≠ 3^x -1
Answer:
5/6
Step-by-step explanation:
The months of the year are: January February March April May June July August September October November December
There are 12 months
There are 10 months that do not start with A
P (month
that does NOT begin with the letter A)
= number of months that do not start with A / total months
=10/12
=5/6
So first we need to find what percent of the students walk to school.
50 + 35 = 85% don't walk leaving only 15% that walk to school,
To find the 15% percent that DO walk we multiply .15 by the total number of people.
.15 x 1640 = 246 people walk to school
3 feet by 5 feet is the original figure.
We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle
We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle
The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.
The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5
The 6 feet by 10 feet falls into the category of Similar because 6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.
The 3 feet by 5 feet falls into the category of Similar because it is the same exact figure just rotated!
