Answer:
The product of two rational numbers is always rational
Step-by-step explanation:
- DEFINITION: a number is said to be rational if and only if it is expressed in p/q form i.e, as a fraction(p/q) where, p,q are integers and
- now, let a/b and c/d be two rational numbers.
- the product of them : ac/bd.
- FACT : if we multiply 2 integers, then the product will be an integer.
- so, ac and bd are both integers for sure and bd is not zero because none of b or d is zero.
- therefore, as ac/bd satisfy the definition of a rational number, it is a rational number.
- hence, we can now generalize that, The product of two rational numbers is always rational.
Answer:
1318.8 meters
Step-by-step explanation:
Answer:
By the Central Limit Theorem, the expected value for the sampling distribution of the number of school days missed due to influenza is 28 days.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
The mean of the population is 28 days.
So, by the Central Limit Theorem, the expected value for the sampling distribution of the number of school days missed due to influenza is 28 days.
Answer:
4 lb
Step-by-step explanation:
Answer:
Hope it helps you,
Step-by-step explanation:
As the figure can be split in to 3 geometric figure,
Rectangle , Triangle and Semi circle ,
So first find the area of these figures then add up them ,
Area of rectangle = Length * width
Length = 20m m and width = 14 mm
hence
Area of rectangle = 20*14 = 280 mm^2
Now ,
Are of Circle =
Then Area of semi circle =
Hence we have d= 20mm
Putt in semi circle formula we get,
Area of Semi Circle= (3.14)*400/8 = 157 mm^2
Now area of triangle = 1/2 * length*width
length =32-20 = 12 mm
width = 14 mm
putt in the formula we get ,
Area of triangle = 1/2*12*14 = 84 mm^2
Now add these 3 Areas to get total Area,
<h2>
Total Area = 84+157+280 = 521 mm^2</h2>