Answer:
The circle's circumference is equal to 14π yards.
General Formulas and Concepts:
<u>Geometry</u>
Circumference of a Circle Formula: C = πd
- <em>d</em> is the diameter of the circle
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
<em>d</em> = 14 yds
<u>Step 2: Find Circumference</u>
- Substitute in variables [Circumference Formula]: C = 14π yds
Topic: Geometry
Answer:
a) 0.3571 = 35.71% probability that the stock price will be more than $25.
b) 0.1429 = 14.29% probability that the stock price will be less than or equal to $18.
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
The probability of finding a value between c and d is:
The probability of finding a value above x is:
Uniformly distributed between $16 and $30 per share.
This means that 
a) More than $25?
0.3571 = 35.71% probability that the stock price will be more than $25.
b) Less than or equal to $18?
0.1429 = 14.29% probability that the stock price will be less than or equal to $18.
Answer:
The correct answer is - 768.
Step-by-step explanation:
The given question is based on a specific pattern present in between the numbers in the given series -
Series = 25 50 99 196 388
to find - next number in series
let us find the relation between the initial two number:
25 - 50, here number 50 is two times of 25 or (x*2-0)
relation between 2nd and 3rd number:
50 - 99, here 99 is two times of 50 minus 1 or (x*2-1)
relation between 3rd and 4th number:
99 - 196, here 196 is two times of 99 minus 2 or (x*2-2)
relation between 4th and 5th number:
196 - 388, here 388 is the two times of 196 minus 4 or (x*2-4)
So on this pattern, the next number would be = x*2-8
388*2-8
= 768
Answer:
3 2/3 is the answer
Step-by-step explanation:
Conversion a mixed number 2 3/
4
to a improper fraction: 2 3/4 = 2 3/
4
= 2 · 4 + 3/
4
= 8 + 3/
4
= 11/
4
To find new numerator:
a) Multiply the whole number 2 by the denominator 4. Whole number 2 equally 2 * 4/
4
= 8/
4
b) Add the answer from previous step 8 to the numerator 3. New numerator is 8 + 3 = 11
c) Write a previous answer (new numerator 11) over the denominator 4.
Two and three quarters is eleven quarters
Divide: 11/
4
: 3/
4
= 11/
4
· 4/
3
= 11 · 4/
4 · 3
= 44/
12
= 4 · 11 /
4 · 3
= 11/
3
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/
4
is 4/
3
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 4 gives 11/
3
.
so you simplify to get 3 2/3
If you would like to solve 2x + 5y = - 13 and 3x - 4y = -8, you can do this using the following steps:
<span>2x + 5y = -13 /*4
3x - 4y = -8 /*5
</span>_________________
8x + 20y = -52
15x - 20y = -40
_________________
8x + 15x + 20y - 20y = -52 - 40
23x = -92 /23
x = -92 / 23
x = -4
<span>2x + 5y = -13
</span>2 * (-4) + 5y = -13
-8 + 5y = -13
5y = -13 + 8
5y = -5
y = -1
(x, y) = (-4, -1)
The correct result would be D.) <span>(-4, -1).</span>
