Answer:
369.5 ft²
Step-by-step explanation:
Separate the figure into 2 rectangles and 2 triangles.
(see attached image)
<u>Area 1</u>
Area of a rectangle = width × length
= 4 × 5
= 20 ft²
<u>Area 2</u>
Area of a rectangle = width × length
= 8 × (4 + 4 + 5)
= 8 × 13
= 104 ft²
<u>Area 3</u>
Area of a triangle = 1/2 × base × height
= 1/2 × (6 + 4 + 5 + 4 - 6) × 23
= 1/2 × 13 × 23
= 149.5 ft²
<u>Area 4</u>
Area of a triangle = 1/2 × base × height
= 1/2 × 8 × (21 + 8 - 5)
= 1/2 × 8 × 24
= 96 ft²
<u>Total Area</u>
Area 1 + Area 2 + Area 3 + Area 2 = 20 + 104 + 149.5 + 96
= 369.5 ft²
Answer:
7e+16
You can search for any mathematical expression, using functions such as:
Answer:
Step-by-step explanation:
You could look it up just like me! So here's what someone else did on brainly so I don't take credit btw.
One.
To solve this, first combine like terms.
6x + 4x - 6 = 24 + 9x
10x - 6 = 24 + 9x
Then move all like terms to one side.
10x - 9x = 24 + 6
x = 30
We are to find the probability that the weight of total luggage for a sample of 100 passengers is less than 2100.
The mean weight of the luggage of passengers will be 2100/100 = 21.
So we have to find the probability of the mean weight to be less than 21.
Average weight = u = 19.4
Standard deviation = 5.3
Since we are dealing with a sample of 100. We will use the standard error.
Standard error =
Now we have to convert the weight to z-score
From z table we can find the probability of z being less than 3.018 is 99.87%.
Therefore, the probability that for (a random sample of) 100 passengers, the total luggage weight is less than 2,100 lbs is 99.87%
The slope is -2. The y-intercept is (0,1).
