Answer: find the solution in the explanation

Step-by-step explanation:

Let's use resolution of forces by resolving into x - component and y- component.

X - component.

Sum of forces = F1 - F3 - F4cos 15

Sum of forces = 0

5 - 5 - 0.97F4 = 0

- 0.97 F4 = 0

F4 = 0

Y - component

Sum of forces = F2 + F4 sin 15

Sum of forces = 0

5 + 0.26F4 = 0

0.26 F4 = -5

F4 = -5/0.26

F4 = -19.23 N

Simulating F4 back into the equation

Sum of forces = F1 - F3 - F4cos 15

- F4cos Ø = 0

- (-19.23) cos Ø = 0

Cos Ø = 0

Ø = 1

Does the angle formed approximate 15 degrees ? NO

T = k/R where k is the constant of variation, T=time and R=speed.

Plug in the given values:-

12 = k/60

k = 12*60 = 720

So the equation of variation is T = 720/R

At 85 mph we have

T = 720 / 85 = 8.47 hours (answer)

The confidence interval is

We first find p, our sample proportion. 118/200 = 0.59.

Next we find the z-score associated with this level of confidence:

Convert 98% to a decimal: 98% = 98/100 = 0.98

Subtract from 1: 1-0.98 = 0.02

Divide by 2: 0.02/2 = 0.01

Subtract from 1: 1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.

The margin of error (ME) is given by

This gives us the confidence interval

**Answer:**

x = 30

**Step-by-step explanation:**

30 + 2x = 90

2x = 60

x = 30

**Answer:**

8.94

**Step-by-step explanation:**