The population in this situation is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag.
<u>Explanation:</u>
The population in this situation of Mr Wilson is all the terms that the teacher taught this semester and that are represented in the note cards and put in the paper bag. The sample is every set of 5 note cards that is selected by the students.
The data is representative of the population because they are selected randomly without bias. Every of term has the same probability of being selected. Also it given that the cards are replaced every time, so all the students will face the same population when they are going to select a sample.
24+28.5−8=44.5 ft^2
The total area is 44.5 ft^2.
Answer:
a² - 14a - 15 = 0 (quadratic equation)
Emily's age = 15 years
Tuli's age = 15 - 10 = 5 years
Step-by-step explanation:
let
Emily age = a
Tuli age = a - 10
Two years ago their ages will be as follows.
Emily's age = a - 2
Tuli's age = a - 10 - 2 = a - 12
The product of their ages 2 years ago is 39.
(a - 2)(a - 12) = 39
a² - 12a - 2a + 24 - 39 = 0
a² - 14a - 15 = 0 (quadratic equation)
To get a
a² + a - 15a - 15 = 0
a(a + 1) - 15(a + 1)
(a + 1)(a - 15)
a = -1 or 15
we can only use 15 as it is positive.
Answer:
-2a
Step-by-step explanation:
a - 6a becomes -5a, add 3a becomes -2a. The expression equivalent to a - 6a + 3a is -2a.
Answer:
Step-by-step explanation:
9/16=x/12
cross product
16x=9*12
16x=108
x=108/16
simplify
x=27/4
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x-3/18=12/9
x=12/9+3/18
x=24/18+3/18
x=27/18
x=3/2
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7/11=18/x+1
18/x=7/11-1
18/x=7/11-11/11
18/x=-4/11
x=18/(-4/11)=(18/1)(-11/4)=-198/4=-99/2
x=-99/2