Answer:
Option "D" is the correct answer to the following question.
Step-by-step explanation:
Given:
Length of painting = 25 inch
Height of painting = 16 inch
Width of frame = w inch
Find:
Area of Picture with frame
Computation:
New length of painting = 25 + w + w
New length of painting = 25 + 2w inch
New height of painting = 16 + w + w
New height of painting = 16 + 2w
Area = l x b
So,
Area of Picture with frame = [25 + 2w][16 + 2w]
Area of Picture with frame = 400 + 50w + 32w + 4w²
Area of Picture with frame = 4w² + 82w + 400
Answer:
a) r = 0.974
b) Critical value = 0.602
Step-by-step explanation:
Given - Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both test and the results are give below
Test A | 64 48 51 59 60 43 41 42 35 50 45
Test B | 91 68 80 92 91 67 65 67 56 78 71
To find - (a) What is the value of the linear coefficient r ?
(b) Assuming a 0.05 level of significance, what is the critical value ?
Proof -
A)
r = 0.974
B)
Critical Values for the Correlation Coefficient
n alpha = .05 alpha = .01
4 0.95 0.99
5 0.878 0.959
6 0.811 0.917
7 0.754 0.875
8 0.707 0.834
9 0.666 0.798
10 0.632 0.765
11 0.602 0.735
12 0.576 0.708
13 0.553 0.684
14 0.532 0.661
So,
Critical r = 0.602 for n = 11 and alpha = 0.05
Answer: third option.
Step-by-step explanation:
You know that:
- There are 10⁹ bytes in a gigabyte.
- There are 10⁶ bytes in a megabyte.
Then, to know how many times greater the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.
Remember the quotient of powers property:

Then:
times greater
20,000 Hz = 2 × 10^4 Hz
150,000 Hz = 1.5 × 10^5 Hz