Answer:
For given linear equation having infinite many solution the value of k is 20 .
Step-by-step explanation:
Given as :
The equation is 2 (4 x + 10) = 8 x + k
For infinite many solution , if the variable cancel out to zero then it will have infinite many solutions
<u>So, from given linear equation</u>
i.e 2 (4 x + 10) = 8 x + k
Or, 2 × 4 x + 2 × 10 = 8 x + k
Or, 8 x + 2 × 10 = 8 x + k
Or, 8 x + 20 = 8 x + k
Or, k + (8 x - 8 x) = 20
Or, k + 0 = 20
∴ k = 20
So, The vale of k = 20
Hence, For given linear equation having infinite many solution the value of k is 20 . Answer
43. 9 + 10 + 13 + 13 = $45
45 - 1 = 44
44 x 4 = 176
176 + 8 = 184
184/4 = 46
46 tokens per person
44. a. 22 x 5 = 110
943/110 = 8.7
you will need 9 bookcases
b. 110 x 9 = 990
990 - 943 = 47
47 - 44 = 3
There will be 3 books on the third shelf.
(a)
The sample space is a set whose elements are all the possible outcomes for the experiment. Since we will extract one of the months of the years, the sample space is the set composed by all the 12 months:
![\Omega = \{ \text{January},\ \text{February},\ldots,\text{December}\}](https://tex.z-dn.net/?f=%20%5COmega%20%3D%20%5C%7B%20%5Ctext%7BJanuary%7D%2C%5C%20%5Ctext%7BFebruary%7D%2C%5Cldots%2C%5Ctext%7BDecember%7D%5C%7D%20)
(b)
An event is a subset of the sample space. Events are often defined by their properties. In this example, the event E is the subset of the sample space defined as
![E = \{ x \in \Omega: x \text{ starts with the letter J}\}](https://tex.z-dn.net/?f=%20E%20%3D%20%5C%7B%20x%20%5Cin%20%5COmega%3A%20x%20%5Ctext%7B%20starts%20with%20the%20letter%20J%7D%5C%7D%20)
So, we have
![E = \{\text{January},\ \text{June},\ \text{July}\}](https://tex.z-dn.net/?f=%20E%20%3D%20%5C%7B%5Ctext%7BJanuary%7D%2C%5C%20%5Ctext%7BJune%7D%2C%5C%20%5Ctext%7BJuly%7D%5C%7D%20)
(c)
If all outcomes have equal probability, then the probability of an event is the ratio bewteen its cardinality, and the cardinality of the whole sample space:
![P(E) = \dfrac{n(E)}{n(\Omega)} = \dfrac{3}{12} = \dfrac{1}{4}](https://tex.z-dn.net/?f=%20P%28E%29%20%3D%20%5Cdfrac%7Bn%28E%29%7D%7Bn%28%5COmega%29%7D%20%3D%20%5Cdfrac%7B3%7D%7B12%7D%20%3D%20%5Cdfrac%7B1%7D%7B4%7D%20)
In words, since there are three months beginning with J out of 12 months, we have a probability of 3 over 12 to pick a month starting with J, which simplifies to 1 over 4.
Alright. What kind of paragraph do you need?
Answer:
x = 2
Step-by-step explanation:
Given
8(4 - x) = 7x + 2 ← distribute parenthesis on left side
32 - 8x = 7x + 2 ( subtract 7x from both sides )
32 - 15x = 2 ( subtract 32 from both sides )
- 15x = - 30 ( divide both sides by - 15 )
x = 2