Answer:
DF = 458
Step-by-step explanation:
In statistics, T-test have an extensive application. T-tests are used in hypothesis testing or inference about the population mean when the population standard deviation is not known. Nevertheless, they are used in making inference in paired samples or dependent samples t-test as well as independent samples.
The degrees of freedom, DF, is a characteristic of the student's t distribution which is used in T-tests. In a simple T-test;
DF = n - 1
where n is the sample size
Given n is 459, DF = 459 - 1 = 458
Therefore, DF = 458
Answer:
15%
Step-by-step explanation:
The amount of people who likes Titanic is 25%, because there are 360° in a circle and 90° is used for Titanic. Hence
To find the percentage of people who liked Rocky the most, we subtract the rest from the total (100%)
Therefore, 15% of the people liked Rocky the most.
161 1-foot tiles.
EXPLANATION:
To find how many tiles we need,
We must find the area of the kitchen.
To find the area, you multiply
length x width
In this question,
the length is 14
the width is 11.5
14 x 11.5 is 161.
So 161 1-foot tiles to cover the kitchen.
Hope this helps! Have a gud day!
g(x) is basically transformed f(x). First, let's focus on f(x) graph. Notice how the graph has slope of 1 and intersect y-axis at (0,0).
Which means that our equation for f(x) is:
Now then we focus on g(x). g(x) is f(x+k). That means if f(x) = x then f(x+k) would mean substitute x = x+k in the equation.
Next, we want to find the value of k. In the slope-intercept form or y = mx+b where m = slope and b = y-intercept. Notice the g(x) graph and see that the graph intersects y-axis at (0,4). Therefore k = y-intercept = 4.
Answer
- g(x) = x+4
- Therefore the value of k is 4.
<span>Let the extension of the length and width be x.
The new dimensions are: Length = 8+x
Width =3+x
Area = 104 ft squared
Area of a rectangle = Length x Width
Therefore,
(8+x)(3+x) = 104
x^2 +11x +24=104
x^2 +11x +24-104=0
x^2 +11x-80=0
Factorize using splitting the middle term method.
X^2 +16x-5x-80=0
x(x+16)-5(x+16)=0
(x-5)(x+16)=0
either x-5 = 0 or x+16=0
x=5 or x=-16
length and width measure cannot be negative.
Therefore, the extension of the length and width is 5 feet each.</span>
