Answer:
The War of 1812 changed the course of American history. Because America had managed to fight the world's greatest military power to a virtual standstill, it gained international respect. Furthermore, it instilled a greater sense of nationalism among its citizens.
Step-by-step explanation:
Answer:
n= 21
c= 3x
Step-by-step explanation:
The expression is given as;
(3x⁷)⁴
Apply the brackets law of indices which states that :
If a term with a power is itself raised to a power then the powers are multiplied together
(xᵃ)ᵇ = xᵃˣᵇ
Applying the same;
(3x⁷)⁴ = 3x²¹
If 3x²¹ = c^n
Then n = 21
and
c= 3x
The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.
<h3 /><h3>What is a type II error?</h3>
A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.
It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.
<h3>How the type II error is related to the significance level?</h3>
The relation between type II error and the significance level(α):
- The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
- The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
- Thus, if the significance level increases, the type II error decreases and vice-versa.
From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.
Learn more about type II error of a hypothesis test here:
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Answer: 147 cm²
Step-by-step explanation:
Since it says to use 3 for pi, and the radius is given to us (7 cm), we will plug in and solve for the area.
A = πr²
A = (3)(7)²
A = 147 cm²
Answer:
Step-by-step explanation:
Formula for perimeter of a rectangle:
= width
= length
Since the length is twice the width,
.
So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,
And after some simplification, we are left with,
