Answer:
The answer is 2.0190
Step-by-step explanation:
<em>From the given question,</em>
<em>We recall that,</em>
<em>p = 141/241 = 0.5850</em>
<em>so, p = 0.5</em>
<em>The Hypothesis is:</em>
<em>H₀ : P = 0.5, this means that H0:50% of the games played will be won</em>
<em>vs</em>
<em>H₁ : P > 0.5, This indicates that, win is greater than 0.5 due to home field advantages.</em>
<em>n=241,x=141</em>
<em>Then,</em>
<em>SD(p)=√(p*q/n)=√(0.5*0.5/141)=0.0421</em>
<em>z = p - p/ SD (p) = 0.5850 - 0.5/0.0421 = 0.085/0.0421 =2.0190</em>
<em>therefore, there is strong evidence that there is home field advantages in professional football.</em>
The first five terms of the sequence are 1, 4, 7, 10, 13.
Solution:
Given data:


General term of the arithmetic sequence.
, where d is the common difference.
d = 3

Put n = 2 in
, we get



Put n = 3 in
, we get



Put n = 4 in
, we get



Put n = 5 in
, we get



The first five terms of the sequence are 1, 4, 7, 10, 13.
The answer is 8 + x > 5
An equation or an inequality that contains at least one variable is called an open sentence.
When you substitute the variable in an open sentence with a number the resulting statement is either true or false. If the statement is true the number is a solution to the equation or inequality.
Hope this helps you !!
Answer:
She needs to purchase 50 square feet of wood .
Step-by-step explanation:
we can find the number of square feet of wood needed to purchase by finding the area of the table
The area of the table = area of the triangle + area of the rectangle
Area of the triangle:
Area of the triangle = 
On substituting the values from the attached figure , we get
Area of the triangle = 
Area of the triangle = 
Area of the triangle = 10 square feet
Area of the rectangle:
Area of the rectangle = Length X Breadth
On substituting the values from the attached figure , we get
Area of the triangle = 
Area of the triangle = 40 square feet
Thus the area of the table = 10 + 40 = 50 square feet
A fraction could be -3 1/6