What we know:
Football field is 100 yards in length
End zones are 10 yards each in length
Perimeter between pylons is 306 2/3 yards
What we need to find:
a. Perimeter and area of one end zone
b. Perimeter and area of without end zones
c. Perimeter and area of playing field with end zones
First we need to find the measurements of the field between pylons using the perimeter of 306 2/3 yards. We already know the length is 100 yards so we need to find width (w).
P=2l + 2w
306 2/3=2 (100) + 2w
306 2/3= 200 + 2w
300 2/3-200=200-200+2w
106 2/3=2w
106 2/3/2=2/2w
53 1/3=w
a. Perimeter=2 (10)+2 (53 1/3)=126 2/3 yards
Area=10×53 1/3=533 1/3 yd²
b. Perimeter=2 (100)+2 (53 1/3)=306 2/3 yards
Area=100×53 1/3=5333 1/3 yd²
c. Perimeter=2 (120) + 2 (53 1/3)=346 2/3 yards
Area=120×53 1/3=6400 yd²
Answer:
0.41
Step-by-step explanation:
Given the data:
Subject Hours of Sleep
Subject 1 6
Subject 2 6.5
Subject 3 6
Subject 4 7.5
Subject 5 5
The standard error of the sample mean :(S. E) is given by standard deviation / square root of sample size.
To calculate the standard deviation :
Using the formula :
Sample size = n = 5
Sqrt(Σ(X - mean)^2 / n - 1)
This can be obtained faster using a calculator :
Hence, using calculator the standard deviation of the sample is 0.90829
Hence,
Standard Error = 0.90829 / sqrt(5)
Standard Error = 0.90829 / 2.2360679
Standard Error = 0.4061996
F(x)= 2(x-2)^2 + 2 is the correct equation of F(x)
A quadratic function is a polynomial function of the second degree. The general form of a quadratic function is this: f (x) = ax^2 + bx + c, where a, b, and c are real numbers and a≠ 0.
Graphs of quadratic functions
The term "parabola" refers to the graph of a quadratic function. A parabola essentially resembles the letter "U," yet it can be inverted or exactly this shape depending on the situation. The leading coefficient determines whether the graph of a quadratic function opens up or down; if it is more than zero, the parabola opens up; if it is less than zero, the parabola opens down.
It is given that graph of F(x), shown below, resembles the graph of G(x) = x^2, but it has been changed somewhat.
We need to find the equation of F(x)
In the figure, parabola opens up, the leading coefficient is greater than zero ,So option (d) is correct
Hence the equation of F(x) is 2(x-2)^2 + 2
Learn more about parabola here:
brainly.com/question/4061870
#SPJ1
Answer:
The quotient of any nonzero integers, a and b, is always a rational number.
Step-by-step explanation:
We know that a rational number is any number that can be written in the
form of , where q is not equal to zero.
- p/q is basically the quotient of integers (non-zero).
p and q integers mean they are rational number. As the quotient is generated by the division of these two numbers, and q is not equal to zero.
- As q can be equal to 1, so every integer is a rational number.
Therefore, the quotient of any nonzero integers, a and b, is always a rational number.