If the number is 5 or greater you round it up
if its four or less you round down
Answer:
x = 21/8
Step-by-step explanation:
Step 1: Write equation
x - 11 = 3 - 7(x - 1)
Step 2: Solve for <em>x</em>
<u>Distribute -7:</u> x - 11 = 3 - 7x + 7
<u>Combine like terms:</u> x - 11 = 10 - 7x
<u>Add 7x on both sides:</u> 8x - 11 = 10
<u>Add 11 on both sides:</u> 8x = 21
<u>Divide both sides by 8:</u> x = 21/8
Answer:
Adult required in the case of “a” 28 and in the case of “b” the adult requirement is 19.
Step-by-step explanation:
(a) The percentage of adult that support the change is 20 percent.
Now calculate the number of adult required.
Given p = 0.20
Use the below condition:
![np(1 – p) \geq 10 \\n \times 0.20 (1 – 0.20) = 10 \\n = 63 round off](https://tex.z-dn.net/?f=np%281%20%E2%80%93%20p%29%20%5Cgeq%2010%20%5C%5Cn%20%5Ctimes%200.20%20%281%20%E2%80%93%200.20%29%20%3D%2010%20%5C%5Cn%20%3D%2063%20round%20off)
Since 35 adults are already there so required adults are 63 -35 = 28
(b) The percentage of adult that support the change is 25 percent.
Now calculate the number of adult required.
Given p = 0.25
Use the below condition:
![np(1 – p) \geq 10 \\n \times 0.25 (1 – 0.25) = 10 \\n = 54 (round off)](https://tex.z-dn.net/?f=np%281%20%E2%80%93%20p%29%20%5Cgeq%2010%20%5C%5Cn%20%5Ctimes%200.25%20%281%20%E2%80%93%200.25%29%20%3D%2010%20%5C%5Cn%20%3D%2054%20%28round%20off%29)
Since 35 adults are already there so required adults are 54 -35 = 19
.
Answer: it is a direct variation.
Justification:
In a direct variation the variables are related by a proportionality constant in this way:
y = k x
Tthan means that the value of y is always the product of a constant times the value of x.
The situation discribed for the coal may be written as:
number of tons of coal burned: c
number of hours: h
⇒ c = k × h
Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.