Assuming that the corner of the fence has right angle, the the area that the dog wandered will be given by:
A=θ/360πr²
Where:
θ=360-90=270°
r=49 ft
hence the area will be:
A=270/360×π×49²
A=5657.23 ft²
Thus the dog will wander in the area of 5657.23 ft²
Your answer is 0.40 ......................
Answer: The required ratio is 1:1.
Step-by-step explanation:
Let the total number of CDs be 100
of CDs is given by
According to question,
of her Jazz CDs represents of all her CDs.
Let the number of Jazz CDs be x
So, it becomes
So, Number of Jazz's CDs is 50
Number of Jazz non CDs is given by
Ratio of her CDs to her non- CDs is given by
Hence, the required ratio is 1:1.
Answer:
- <u>Function</u>:
- <u>Range</u>: option D. 20 ≤ x ≤ 27.37
Explanation:
The function must meet the rule that the pay starts at $20 and it increases each hour by 4%.
A table will help you to visualize the rule or pattern that defines the function:
x (# hours) pay ($) = p(x)
0 20 . . . . . . . . [starting pay]
1 20 × 1.04 . . . [ increase of 4%]
2 20 × 1.04² . . . [increase of 4% over the previous pay]
x 20 × 1.04ˣ
Hence, the function is:
The range is the set of possible outputs of the function. To find the range, take into account that this is a growing exponential function, meaning that the least output is the starting point, and from there the output will incrase.
The choices name x this output. Hence, the starting point is x = 20 and the upper bound is when the number of hours is 8: 20(1.04)⁸ = 27.37.
Then the range is from 20 to 27.37 (dollars), which is represented by 20 ≤ x ≤ 27.37 (option D from the choices).
Answer:
(a) The correct option is (A).
(b) The correct option is (B).
Step-by-step explanation:
Nam collected the data for the distance traveled by all the cars in his car lot.
(a)
A histogram is a bar graph representing the distribution of a random variable. The height of the bars of the histogram represents the frequency for a specific interval.
If Nam wants to know how many vehicles had driven more than 200,000 km, the histogram would be the best display of this data. This is because the histogram shows the frequency for various interval values.
The correct option is (A).
(b)
A boxplot, also known as a box and whisker plot is a method to demonstrate the distribution of a data-set based on the following 5 number summary,
- Minimum (shown at the bottom of the chart)
- First Quartile (shown by the bottom line of the box)
- Median (or the second quartile) (shown as a line in the center of the box)
- Third Quartile (shown by the top line of the box)
- Maximum (shown at the top of the chart).
So, if Nam wants to find whether the median distance was approximately 140,000 km, a box plot would be a better choice. This is because the box plot represents the median of the data by a line within the box.
The correct option is (B).
