Answer:
The domain is 
Step-by-step explanation:
Given functions
and 
Subtract these two functions:

Plot these difference on the coordinate plane (see attached diagram). This function is defined for all vlues of x, so the domain is 
9/20 is the probability that Bob's password consists of an odd single-digit number followed by a letter and a positive single-digit number
It is given that bob's password consists of a non-negative single-digit number followed by a letter and another non-negative single-digit number (which could be the same as the first one).
P (odd single digit number ) = ( 5 odd single digits / 10 non-negative single digits) = (5/10) = 1/2
P (positive single digit number ) = (9 positive single digits / 10 non-negative single digits) = 9/10
The total probability is (1/2) (9/10) = 9/20
Learn more about word problems here: brainly.com/question/21405634
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Answer:
__
0.333
Step-by-step explanation:
you divide 1.00 by 3. The 3s never end.
Answer:
132 mm^2
Step-by-step explanation:
The line added to the figure in the attachment shows it can be divided into two figures whose area is easily calculated.
1. A parallelogram of base length 20 mm and height 4 mm:
A = bh = (20 mm)(4 mm) = 80 mm^2
2. A trapezoid with bases 32 mm and 20 mm, and height 2 mm:
A = (1/2)(b1 +b2)h = (1/2)(32 mm +20 mm)(2 mm) = 52 mm^2
The total area of the figure is then ...
80 mm^2 +52 mm^2 = 132 mm^2
Answer:
D. $16.42
Step-by-step explanation:
In order to find the sales tax of a product, you need to multiply the product's price by the sales tax in decimal form.
To find the decimal form of a percentage, you simply move the decimal paint two spaces to the left. So, 8.25% in decimal form is 0.0825.
199.99 * 0.0825 = 16.499175
This number is closest to $16.42, so D is the correct answer.