Answer:
The equation y = 3x shows a proportional relationship between x and y
Step-by-step explanation:
- <em>The proportional relationship is represented graphically by a line passes through the </em><em>origin point </em>
- <em>The equation of the proportional relationship is </em><em>y = m x</em>
Let us solve the question
Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship
∵ y = 3x
∵ x = 0
∴ y = 3(0)
∴ y = 0
→ That means the line that represents the equation passes through
the origin point
∴ The equation y = 3x shows a proportional relationship between x and y
Answer:
x = 3 and x = -7
Step-by-step explanation:
The given quadratic equation is
. We need to find the solution of this equation.
If the equation is in the form of
, then its solutions are given by :

Here, a = 1, b = 4 and c = -21
Plugging all the values in the value of x, such that :

So, the solutions of the quadratic equation are 3 and -7.
Answer:
Dan drank 1 3/8 ths of the bottle of water
Step-by-step explanation:
since the question is asking how much water he drank altogether, it wants you to add
so
7/8+4/8=11/8
Dan drank 11/8 ths of the bottle of water (1 3/8)
Answer:
The correct answer is:
(a) 0.54
(b) 0.0385
Step-by-step explanation:
Given:
Restaurant tax,
p = 0.54
Sample size,
n = 168
Now,
(a)
The mean will be:
⇒ μ 

(b)
The standard error will be:
= ![\sqrt{[\frac{p(1-p)}{n} ]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%20%5D%7D)
= ![\sqrt{[\frac{(0.54\times 0.46)}{168} ]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%5Cfrac%7B%280.54%5Ctimes%200.46%29%7D%7B168%7D%20%5D%7D)
= ![\sqrt{[\frac{(0.2484)}{168} ]}](https://tex.z-dn.net/?f=%5Csqrt%7B%5B%5Cfrac%7B%280.2484%29%7D%7B168%7D%20%5D%7D)
= 