Answer:
a)
And we can find this probability with the complement rule:
b) 
And if we use the z score we got:
Step-by-step explanation:
Let X the random variable that represent the lengths of a population, and for this case we know the distribution for X is given by:
Where
and
Part a
We are interested on this probability
And we can use the z score formula given by:
And using this formula we got:
And we can find this probability with the complement rule:
Part b
For this case we select a sample of n =44 and the new z score formula is given by:

And if we find the z score we got:

And if we use the z score we got:
52.311 is greater than 52.31 because look at 52.311 and 52.31
What are the following rates?
1. (-2,-5)
2. (-3,8)
3. (-8,-9)
4. (-2,-7)
Answer:
Option D. Marcelina spends less that the intended amount of money and buy less than enough corn
Step-by-step explanation:
Let
x----> is the amount of white corn she buys
y ---> is the amount of yellow corn she buys
we know that
She needs to buy 50 kg of corn in total
so
----> equation A
She wants to spend $12 dollars total
so
----> equation B
The solution of the system of equations is the intersection point both graphs
The solution is the point (30,20)
That means
Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn
we have the ordered pair F(15.15)
That means
15 kg of white corn and 15 kg of yellow corn
therefore
Total kg of corn bought is


Total spend is


therefore
Marcelina spends less that the intended amount of money and buy less than enough corn