Answer:
a) YES. Repeating decimal
b) YES. Repeating decimal
c) NO. Decimal neither terminates nor repeats
d) YES. Terminating decimal
Step-by-step explanation:
Any rational number can be written as a fraction, that is, a division of integers.
a) The number 
has a repetitive period of 54. It can be expressed as a fraction because its decimal are repeating forever
b) The number 0.16666... (expressed as a repeating 6) can also be converted to a fraction because it's a repeating decimal
c) The number 0.5473... cannot be expressed as a fraction because the ellipsis (...) means the decimals continue with no limit and no pattern can be found (no repetitive decimal)
d) The number 0.378 can be easily expressed as a fraction because it has a finite number of decimals (no ellipsis) or a terminating decimal
Answer: X=-1/2 and y=5
Step-by-step explanation:
Answer:
A. 30.144
Step-by-step explanation:
This is a Chi-Squared test
Given:
- The significance level is 5%, so
To use the Chi-Square distribution table, you need to know two values:
- Degrees of freedom = (n - 1)
- Significance level
Degrees of Freedom = n - 1 = 20 - 1 = 19
The significance level is 5%, so
This is a one-tailed test since so Upper tail area = 0.05
Reading from the table (attached), the critical value is: 30.144
(This means that we reject 
if the test statistic is greater than 30.144)
We are asked to solve for the width "x" in the given problem. To visualize the problem, see attached drawing.
We have the area of the swimming pool such as:
Area SP = l x w
Area SP = 10 * 16
Area SP = 160 feet2
Area of the swimming pool plus the sidewalk with uniform width:
Area SP + SW = (10 + x) * (16 + x)
160 + 155 = 160 + 10x + 16x + x2
160 -160 + 155 = 26x + x2
155 = 26 x + x2
x2 + 26x -155= 0
Solving for x, we need to use quadratic formula and the answer is 5 feet.
The value of x is
<span>
5 feet. </span>
The copy is the exact same as the original, so the scale factor would be 1.
The answer is the first choice
