**Answer:**

D) 4/3

**Step-by-step explanation:**

12. Triangle XYZ is a right triangle. Angle Y is the right angle. If tan Z = 3/4 , then Predict the tan X. A) 4/5 B) 3/4 C) 3/5 D) 4/3

IF tan Z = 3/4

Since m<Y = 90 degrees

Let the opposite side be XY

YZ be the adjacent side

and XZ is the hypotenuse

Given

tan theta = opp/adj

opp = 3 = XY

adj = 4 = YZ

Get the hypotenuse

hyp^2 = 3^2 + 4^2

hyp^2 = 9 + 16

hyp^2 = 25

hyp = √25

hyp = 5

**for tanX;**

Side opposite to angle X is YZ

Adjacent side = XY = 3

opposite = YZ = 4

Tan X = YZ/XY

Tan X = 4/3

**Hence the prediction of Tan X is 4/3**

**Answer:**

95% confidence interval for the mean μ is (6,14)

The Population mean μ lies between ( 6, 14 )

**Step-by-step explanation:**

<u><em>**Explanation**</em></u>:-

Given random sample 'n' = 1200

95% confidence interval for the mean μ is determined by

Level of significance = 95% 0r 0.05

Z₀.₀₅ = 1.96

= 10 ± 4

Mean of the small sample = 10

95% of confidence intervals are

( 10 ±4 )

( 10 -4 , 10+4)

( 6 , 14 )

95% confidence interval for the mean μ lies between ( 6, 14 )

**Answer:**

The most appropriate statistical test to use to compare the mood scores from the different groups is **independent sample t-test**.

**Step-by-step explanation:**

The Independent Samples t-test examines the means of two independent groups to see if statistical evidence exists to show that the related population means differ significantly.

The Independent Samples t-test is also known as Independent t-test, Independent Two-sample t-test, and among others.

It should be note that only two (and only two) groups can be compared using the Independent Samples t-test. It is not possible to use it to make comparisons between more than two groups.

Therefore, the most appropriate statistical test to use to compare the mood scores from the different groups is **independent sample t-test**.

**Answer:**

**Step-by-step explanation:**

According to the **Product-to-Power Exponential Rule****,**** **whenever you **multiply** similar bases, you keep the base and **add** the exponents:

I am joyous to assist you anytime.

**Answer:**

sdfghjjhgfdcxcvbhjh

**Step-by-step explanation:**