Answer:
The correct answer is

Step-by-step explanation:
To solve the question we note that the question involves a test statistic calculation given by
Where
x₁ = Mean of sample 1
x₂ = Mean of sample 2
n₁ = Sample size of sample 1
n₂ = Sample size of sample 2
s₁ = Variance of sample 1
s₂ = Variance of sample 2
s₁ = ∑(x₁ - x₁')²/n₁, s₂ = ∑(x₂ - x₂')²/n₂
The test statistic is a variable that is derived from a given data sample and is applied in hypothesis testing. The test statistic measures the available data against the expected value from the null hypothesis
With the given data, we have

It would be negative six.
Answer:
12.8 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationships between angles and sides of a right triangle. Here, you have the side opposite the given 70° angle, and you want to find the hypotenuse. The appropriate relation is ...
Sin = Opposite/Hypotenuse
Solving for the hypotenuse, we get ...
Hypotenuse = Opposite/Sin
x = (12 cm)/sin(70°) ≈ 12.77 cm
x ≈ 12.8 cm