First, we define variables:
x: small hat
y: medium hat
z: large hat
We now write the system of equations:
x + y + z = 47
5.50x + 6y + 7z = 302
-3x + y = 0
We can write the system in matrix form as:
Ax = b
Where,
A = [1 1 1; 5.50 6 7; -3 1 0]
b = [47; 302; 0]
x = [x; y ; z]
Solving the system we have:
x = 6
y = 18
z = 23
Answer:
the coach did purchase 23 large hats
d. 23
Answer: 130 Shells
Step-by-step explanation:
If her father has 57 and her mother has 73, you would have to add to get the total amount of shells. So 73 + 57= 130 Shells
Rectangle, because it has two lines of symmetry
Answer:
A. The woman is relatively taller because the z score for her height is greater than the z score for the man's height.
Step-by-step explanation:
Whoever has the highest z-score, is taller relative to the population of the same gender.
The z-score of a value X in a set with mean
and standard deviation
is given by:

Solution:
Heights of men have a mean of 170 cm and a standard deviation of 6 cm. One of the tallest living men has a height of 236 cm. So the z-score of his height is:

Heights of women have a mean of 161 cm and a standard deviation of 5 cm.
One of the tallest living women is 224 cm tall. The z-score of the women's height is

The women has a higher z-score, so she is relatively taller.
The correct answer is A