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
Ugh this is the worst 55559
You can read it of the graph which is (1,3) or also calculate it with vectors:
calculate the vector CD:
(5-(-3),2-4)=(8,-2)
to calculate the midpoint you need half of the vector length:
(8,-2)/2=(4,-1)
add the vector to C:
(-3,4)+(4,-1)=(1,3)=midpoint of CD
so it's the third option
Answer:
Of the 500 parents surveyed 275 would be expected to spank their children.
Step-by-step explanation:
Let the random variable <em>X </em>represent the number of parents who spank their children.
It is provided that, from previous studies, <em>p</em> = 55% of parents spank their children.
A random sample of <em>n</em> = 500 adults were selected.
The event whether a parent spank their children is independent of other parents.
The random variable <em>X </em>thus follows a Binomial distribution with parameters <em>n</em> = 500 and <em>p</em> = 0.55.
The expected value of a Binomial random variable is:
Thus, of the 500 parents surveyed 275 would be expected to spank their children.
All triangles inner angles addition equals to 180°
So if you’re finding the x° then minus the other angles from 180°
23°+129°+x=180°
x=180°-129°-23°
x=28°
I hope this helped :)
