**Answer:**

-13n^4 + 11n^3 - 3n^2 - 3

**Step-by-step explanation:**

***I think you mistyped the question. I belive the 13n^4 is supposed to be negative***

**1.First, we need to add common values (all the n^4s together, all the n^3s, etc.) from the two sets.**

-13n^4

12n^3 + -n^3

8n^2 + -11n^2

-3

**2. Now lets simplify**

-13n^4

11n^3

-3n^2

-3

**3. Laststly, we put them all into one expression!**

-13n^4 + 11n^3 - 3n^2 - 3

**The area of triangle is 7 square units, which is mentioned in option B. It is obtained from the given diagram.**

**Step-by-step explanation:**

The given is,

For above question diagram is missing, so i attach the diagram.

**Step:1**

Formula for area of triangle from the coordinates,

.............(1)

Where,

are coordinates

From the given,

A ( 1, 1 ) -

B ( 4, 0 ) -

C ( 3, 5 ) -

Equation (1) becomes,

Area,

= 7

Area of triangle, A = 7 square units

**Result:**

**The area of triangle is 7 square units, which is mentioned in option B. It is obtained from the given diagram.**

**Answer:**

The 95% confidence interval is "**87.94, 91.86**".

**Step-by-step explanation:**

The given values are:

**Sample batches,**

n = 25

**Sample mean concentration,**

= 89.9 mg

**Amount of chemical,**

σ = 5

α = 0.05

**The critical value from Z table will be:**

=

=

=

Now,

**The confidence interval will be:**

=

On substituting the values, we get

=

=

=

**Lower limit will be: **

=

=

**Upper limit will be:**

=

=

The answer to the first problem is B.

The answer to the second problem is 13.

Answer:

0.08

Step-by-step explanation:

1.6 liters of the drink was distributed in 20 cups

The litres of drink in each cup can be calculated as follows

= 1.6/20

= 0.08

Hence 0.08 liters of drink would be in each cup