Answer:
The factors of x² - 3·x - 18, are;
(x - 6), (x + 3)
Step-by-step explanation:
The given quadratic expression is presented as follows;
x² - 3·x - 18
To factorize the given expression, we look for two numbers, which are the constant terms in the factors, such that the sum of the numbers is -3, while the product of the numbers is -18
By examination, we have the numbers -6, and 3, which gives;
-6 + 3 = -3
-6 × 3 = -18
Therefore, we can write;
x² - 3·x - 18 = (x - 6) × (x + 3)
Which gives;
(x - 6) × (x + 3) = x² + 3·x - 6·x - 18 = x² - 3·x - 18
Therefore, the factors of the expression, x² - 3·x - 18, are (x - 6) and (x + 3)
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>
Since there is no graph presented, I will give an example. For instance you are given, 2n is greater than 30 and 5n is less than 100 and you are asked to find the value of n. This is an example of an inequality problem. You are given 2n is
greater than 30 and 5n is less than 100. You are asked to find for the value of
n. You need to know that greater means this sign ‘>’ and lesser means ‘<’
sign. So if you have 2n is greater than 30, this is equal to 2n>30 and 5n is
less than 100 is 5n<100. The ‘and’ means equal sign ‘=’. So,
2n>30+5n<100
2n-5n
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There are 4 quarts in a gallon
