A rational number is a number that can be written as a fraction or "ratio".
It includes the set of integers because all of them have a denominator of 1. A rational number can take on the form of
where b ≠ 0. Terminating and repeating decimals are rational numbers because they too can be written as a ratio; for example, 0.3 =
or 0.3333... =
.
Answer:
Let's understand the solution in detail.
Explanation:
Given: 5x = 3y
We can rearrange it as y = 5x / 3
Hence, we see that y ∝ x, and the equation is of the form y = kx, where k is the proportionality constant. This denotes that y varies directly with x.
Here k = 5 / 3.
Hence, the equation represents a direct variation, and the constant of variation is k = 5 / 3.
Answer:
Step-by-step explanation:
Answer: a) 0.5636 b) 0.7881
Step-by-step explanation:
We assume that women’s heights are normally distributed .
Let x be the random variable that represents the shoe sizes.
Also, The population mean = 
; Standard deviation: 
a) Formula for z:-
Put x= 64, we get
Now, the probability that the male shoe sizes are greater than 8 :-
Hence, the probability that her height is less than 64 inches = 0.5636
b. Sample size : n= 25
Then , the formula for z :-
Put x= 64, we get
Then, the probability that they have a mean height less than 64 inches.:_
Hence, the probability that they have a mean height less than 64 inches. =0.7881
<u>Answer</u>:
<u>Step-by-step explanation:</u>
The quadratic formula is: 
.
So plugging in all the values, we are left with 
Then, we can solve for both values of x, which are 
and 
