Answer:
Reject H0
Step-by-step explanation:
Given :
H0: The frequencies are equal. H1: The frequencies are not equal
Category f0 A 10 B 30 C 30 D 10
Total f0 = (10 + 30 + 30 + 10) = 80
Expected frequency is the same for all categories :
Expected frequency = 1/4 * 80 = 20
χ² = Σ(observed - Expected)² / Expected
χ² = (10-20)^2 / 20 + (30-20)^2 /20 + (30-20)^2 / 20 + (10-20)^2 / 20
χ² = (5 + 5 + 5 + 5) = 20
Pvalue = 0.00017
Pvalue < α
Answer:
The answer is C. The translation of a line is a pair of parallel lines.
Step-by-step explanation:
A, B, and D are true. C is <em>not</em> true, and therefore the correct answer.
A prime number is a natural number greater than 1 that can't be the factory of multiplying two smaller natural numbers.
Answer: f⁻¹(x)=(x-7)²
Step-by-step explanation:
To find the inverse function, we want to switch the y with the x and vice versa. Then we solve for y.
[switch y with x and x with y]
[subtract both sides by 7]
[square both sides]
Now, we know that f⁻¹(x)=(x-7)².
Answer:
37-9v
Step-by-step explanation:
lets start with the parenthesizes
-9(-3-2v+3v)
multiply
27+18v-27v
next add the 10
37+18v-27v
combine the v's
37-9v
